The solution is, Chun is correct.
What is triangle proportionally?The angle bisector divides the sides of the triangle proportionally. Any proportion that is written should equate ratios of corresponding sides.
here, we have,
Chun's proportion correctly relates the top-side measures to their corresponding bottom-side measures:
top short : bottom short = top long : bottom long
5 / 8 = 15 / x
Traci's error is that she mixes top-side and bottom-side measures. Her incorrect relation is ...
top short : bottom long = bottom short : top long
She has used top:bottom for short measures and bottom:top for long measures. This mixing will give Traci an incorrect solution.
Chun's proportion correctly gives x=24.
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9 inches of ribbon is needed for wrapping one present. How many presents can be wrapped with 8 yards of ribbon?
Answer: 32 presents can be wrapped with 8 yards of ribbon
Step-by-step explanation:
Convert yards to inches
1 yard = 36 inches
8 yards = 288 inches
Divide 288 inches by 9 inches
288/9 = 32
Answer: You can wrap 32 presents with 8 yards.
Step-by-step explanation:
So, first, you need to know how many inches are in a yard. There are 36 inches in 1 yard.
Then, do 36 inches times 8 yards to figure out how many yards are in 8 yards. So in 8 yards, there are 288 inches.
Finally, do 288 divided by 9 to figure out how many present you can wrap with 8 yards (288 inches).
You can wrap 32 presents with 8 yards.
I hope this helped!
(ANSWER ASAP!! GIVING BRAINLIEST IF CORRECT! :))
The table below shows a relationship between hours and miles traveled:
After reading the table, a student writes this equation to show the proportional relationship between hours and miles traveled. The constant of proportionality is 30.
m = 30h
Based on the table and the equation, how many miles would they travel after 12 hours?
A: 360 miles
B: 600 miles
C: 240 miles
D: 42 miles
Answer:360
Step-by-step explanation:
You own a hamburger franchise and are planning to shut down operations for the day, but you are left with 12 buns, 18
defrosted beef patties, and 16 opened cheese slices. Rather than throw them out, you decide to use them to make burgers
that you will sell at a discount. Plain burgers each require 1 beef patty and 1 bun, double cheeseburgers each require 2
beef patties, 1 bun, and 2 slices of cheese, while regular cheeseburgers each require 1 beef patty, 1 bun, and 1 slice of
cheese. How many of each should you make?
plain burgers
double cheeseburgers
regular cheeseburgers
Answer:
Plain burgers: 12
Double cheeseburgers: 9
Regular cheeseburgers: 12
Step-by-step explanation:
Let's use P, D, and R to represent the number of plain burgers, double cheeseburgers, and regular cheeseburgers, respectively.
Each plain burger requires 1 patty and 1 bun, so we can make a maximum of 12 plain burgers (since we have 12 buns).
Each double cheeseburger requires 2 patties, 1 bun, and 2 slices of cheese, so we can make a maximum of 9 double cheeseburgers with the available patties, buns, and cheese. (We have enough patties and buns for 18 burgers, but each double cheeseburger uses twice as many patties, so we divide the total number of patties by 2 to get the maximum number of double cheeseburgers we can make.)
Each regular cheeseburger requires 1 patty, 1 bun, and 1 slice of cheese, so we can make a maximum of 16 regular cheeseburgers with the available patties, buns, and cheese (since we have 16 slices of cheese).
To maximize our sales, we want to make as many of each type of burger as we can. Since we can only make 12 plain burgers, we should make all 12 of those. We can then make 9 double cheeseburgers (using 18 patties, 9 buns, and 18 slices of cheese), and 12 regular cheeseburgers (using 12 patties, 12 buns, and 12 slices of cheese).
So the final answer is:
Plain burgers: 12
Double cheeseburgers: 9
Regular cheeseburgers: 12
Consider the expressions 3x(x − 2) + 2 and 2x2 + 3x − 18.
Part 1
Evaluate each expression for x = 4 and for x = 5. Based on your results, do you know whether the two expressions are equivalent? Complete the explanation.
For x = 4, each expression has a value of
26
. For x = 5, each expression has a value of
47
. These results suggest that the expressions
may be
equivalent, but
do not prove that
the expressions are equivalent.
Part 2 out of 2
Evaluate each expression for x = 3. Based on your results, do you know whether the two expressions are equivalent? Complete the explanation.
For x = 3, the first expression has a value of
, and the second expression has a value of
. Since these values are
(select)
, the expressions
(select)
equivalent.
The graph shows g(x), which is a translation of f(x)=x2. Write the function rule for g(x).
The function g(x) is translation of f(x) 9 units up. The solution has been obtained by using transformation.
What is transformation?An operation known as a transformation involves moving a polygon or other two-dimensional object on a plane or coordinate system.
We are given that the function g(x) is a translation of the function
f(x) = x².
In the graph, we can see that the vertex of the parabola is at (0, 9).
This means that the function g(x) is 9 units up from the function f(x).
So, g(x) = x² + 9
Hence, the function g(x) is translation of f(x) 9 units up.
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true or false, a trapezoid is a quadrilateral with one or more parallel side
Answer:
A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles), but those are not required.
The table at right shows speed limits in some foreign countries in kilometers per hour. One kilometer is equal to 0.6 miles. What are these speed limits in miles per hour?
As an example, the 78-mph speed limit in the United States is equivalent to the 130 km/h restriction in Germany.
How quick is that speed?
A connection with a speed of 100 Mbps or higher is considered fast internet. Broadband internet speed is defined by the federal communications regulator (FCC) as 25 Mbps for downloading and 3 Mbps for upload.
We can increase each number by 0.6 to convert overall speed limitations from kilometers per hour into miles per hour. Here is the revised table:
Country Speed Limit (km/h) Speed Limit (mph)
Germany 130 78
France 110 66
Italy 150 90
Japan 100 60
Australia 110 66
United Kingdom 113 67.8
Hence, Because one kilometer is equivalent to 0.6 miles, it is evident that speed limits in the form of miles per hour were lower than those in kilometers per hour.
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Julian is training to make his school's track team. Each week he runs a 400-meter dash and keeps track of his weekly change to monitor his improvement. If Julian's 400-meter dash time was 59 7/10 seconds when he began his training, what was his timed lap after 4 weeks of training? Write your answer as a mixed number in simplest form.
Please helppppppp!!!!
Julian's timed lap after 4 weeks of training written in mixed fraction form is 58 1/10 seconds.
What are fractions?
Every number of equal parts is represented by a fraction, which also represents a portion of a whole. A single object or a collection of objects might be whole. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object. The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves. The number of parts into which the whole has been divided is shown by the denominator. How many sections of the fraction are displayed or chosen is shown in the numerator.
Given,
Number of metres run Julia runs each week = 400
Time taken to run 400m dash in the beginning = 59 7/10 seconds
= 597/10 seconds
Since the time is given in fractions, we have to do fraction subtraction for the following weeks.
Time taken in week 1 = 597/10 - 0.6 seconds = 597/10 - 6/10 = 591/10 seconds
Time taken in week 2 = 591/10 - 1/4 = 2364 - 10 / 40 = 2354/40 seconds
Time taken in week 3 = 2354/40 + 0.1 = 2354/40 + 1/10 = 2358/40
Time taken in week 4 = 2358/40 - 17/20 = 2358-34 / 40 = 2324/40
= 581/10= 58 1/10 seconds.
Therefore Julian's timed lap after 4 weeks of training written in mixed fraction form is 58 1/10 seconds.
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Translate the sentence into an equation using n as the unknown number. Then solve the equation for n. Two times a number increased by 5 is 15. a. 2n(5) = 15 n = 1.5 c. 2n + 5 = 15 n = 20 b. 2n + 5=15 n = 5 d. n + 5 = 15 n = 10 Please select the best answer from the choices provided
I need help in this please
The x-intercepts and y-intercepts of the graph include the following:
x-intercept: B. -1.
y-intercept: D. none.
The equations for all vertical and horizontal asymptotes are as follows;
Vertical asymptote: x = 1.
Horizontal asymptote: y = 4.
What is the x-intercept?In Mathematics, the x-intercept can be defined as the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" or y-value is equal to zero (0).
What is an asymptote?In Mathematics, an asymptote can be defined as a line which the graph of a given function approaches but would never touch. Additionally, the vertical asymptote of a function simply refers to the value of x which makes its denominator equal to zero (0).
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Find the discriminant for each Quadratic and state the types of roots.
2x² + 3x - 3=0
4x²-6x+2=y
0=x²-3x+8
y=5x²+4x+1
9. The discriminant is 33. And the roots are real and distinct.
10. The discriminant is 4. And the roots are real and distinct.
11. The discriminant is -23. And the roots are imaginary roots.
12. The discriminant is -4. And the roots are imaginary roots.
What is the discriminant?
The quadratic equation is ax² + bx + c = 0. Then the discriminant is given as,
D = b² - 4ac
If D > 0, then the roots are real and distinct root.If D = 0, then the roots are real and equal roots.If D < 0, then the roots are imaginary roots.9. 2x² + 3x - 3 = 0, the discriminant is given as,
D = 3² - 4 × 2 × (-3)
D = 33
Roots are real and distinct.
10. 4x² - 6x + 2 = y, the discriminant is given as,
D = (-6)² - 4 × 4 × (2)
D = 4
Roots are real and distinct.
11. 0 = x² - 3x + 8, the discriminant is given as,
D = (-3)² - 4 × 1 × (8)
D = - 23
Roots are imaginary.
12. y = 5x² + 4x + 1, the discriminant is given as,
D = (4)² - 4 × 5 × (1)
D = -4
Roots are imaginary.
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3. A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi.
Given:-
A prop for threatre is constructed using a cone and a hemisphere.Use π = 3.14To find:-
The volume of the prop .Answer:-
The given figure is made up of a cone and a hemisphere , so to find the total volume , we would find the volume of cone and hemisphere individually and add them up to find the net volume.
Finding volume of cone:
The data we have is ,
Height = 14inches Radius = 9inches .As we know that the volume of cone is given by,
[tex]\implies V =\dfrac{1}{3}\pi r^2 h \\[/tex]
on substituting the respective values,we have;
[tex]\implies V =\dfrac{1}{3}\times 3.14 \times (9in.)^2 \times 14in .\\[/tex]
[tex]\implies V = \dfrac{1}{3}\times 3.14 \times 81in.^2\times 14in. \\[/tex]
[tex]\implies V = 1186.92 \ in.^3 \\[/tex]
Finding the volume of hemisphere:
As we know that the volume of hemisphere is given by;
[tex]\implies V =\dfrac{2}{3}\pi r^3 \\[/tex]
And here ,
r = 9 inches .So that;
[tex]\implies V =\dfrac{2}{3}\times 3.14\times (9\ in.)^3 \\[/tex]
[tex]\implies V =\dfrac{2}{3}\times 3.14\times 729\ in.^3 \\[/tex]
[tex]\implies V = 1526.04 \ in.^3 \\[/tex]
Hence the total volume will be ,
[tex]\implies V_{prop} = (1526.04 + 1186.92 )in.^3\\[/tex]
[tex]\implies V = 2712.96 \ in.^3 \\[/tex]
[tex]\implies \underline{\underline{ V_{prop}= 2713\ in.^3 }} \\[/tex]
Hence the volume of prop is 2713 in.³
and we are done!
Answer:
2713.0 in³ (nearest tenth)
Step-by-step explanation:
To calculate the volume of the prop, sum the volume of the cone and the volume of the half-sphere.
[tex]\boxed{\begin{minipage}{4 cm}\underline{Volume of a cone}\\\\$V=\dfrac{1}{3} \pi r^2 h$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}[/tex] [tex]\boxed{\begin{minipage}{4 cm}\underline{Volume of a half-sphere}\\\\$V=\dfrac{2}{3} \pi r^3$ \\\\ where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\\end{minipage}}[/tex]
Therefore, the equation for the volume of the prop is:
[tex]V_{\sf prop}=\dfrac{1}{3} \pi r^2 h+\dfrac{2}{3} \pi r^3[/tex]
From inspection of the given diagram:
r = 9 inh = 14 inπ ≈ 3.14Substitute the values of r, h and π into the equation and solve for V:
[tex]\begin{aligned}\implies V_{\sf prop}&=\dfrac{1}{3} \pi r^2 h+\dfrac{2}{3} \pi r^3\\\\&=\dfrac{1}{3} (9)^2 (14)+\dfrac{2}{3} \pi (9)^3\\\\ &=\dfrac{1}{3} \pi (81) (14)+\dfrac{2}{3} \pi (729)\\\\ &=378 \pi+486 \pi\\\\ &=864 \pi\\\\&=864 \cdot 3.14\\\\&=2712.96\\\\&=2713.0\;\sf in^3\;\;(nearest\;tenth)\end{aligned}[/tex]
Therefore, the volume of the prop is 2,713.0 in³ to the nearest tenth.
Working 8 hours a day, 48 men can complete a job in 1 week. How many men working 6 hours a day will complete the same job in 16 days?
The number of men needed to complete the same job in 16 days working 6 hours a day is given as follows:
28 men.
How to obtain the number of men?The number of men is obtained applying the proportions in the context of the problem.
The rule of three is given as follows:
n/48 = 8/6 x 7/16.
(the time is inverse proportional to the number of men, hence the fractions are inverted).
Thus:
n/48 = 56/96
Applying cross multiplication, the number of men is obtained as follows:
96n = 48 x 56
n = 48 x 56/96
n = 28 men.
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Write an exponential model given the two points (6,140) and (7,260).
The model is y=___?
The model of the exponential function is y = 3.40(1.86)^x
How to determine the model of the exponential functionFrom the question, we have the following parameters that can be used in our computation:
(6, 140) and (7, 260)
The exponential function for the model can be expressed as:
y = ab^x
Where
b = 260/140
b = 1.86
So, we have
y = a(1.86)^x
Substitute the known values in the above equation, so, we have the following representation
140 = a(1.86)^6
This gives
a = 140/(1.86)^6
Evaluate
a = 3.40
This means that
y = 3.40(1.86)^x
Hence, the function is y = 3.40(1.86)^x
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m Arch ML = 76 Degrees ; m
Answer:
A part of basic arithmetic, long division is a method of solving and finding the answer and remainder for division problems that involve numbers with at least two digits. Learning the basic steps of long division will allow you to divide numbers of any length, including both integers (positive,negative and zero) and decimals. This process is an easy one to learn, and the ability to do long division will help you sharpen and have more understanding of mathematics in ways that will be beneficial both in school and in other parts of your life.[1]
Step-by-step explanation:
A part of basic arithmetic, long division is a method of solving and finding the answer and remainder for division problems that involve numbers with at least two digits. Learning the basic steps of long division will allow you to divide numbers of any length, including both integers (positive,negative and zero) and decimals. This process is an easy one to learn, and the ability to do long division will help you sharpen and have more understanding of mathematics in ways that will be beneficial both in school and in other parts of your life.[1]
Question In the coordinate plane, what is the length of the line segment that connects points at (5, 4) and (−3, −1)? Enter your answer in the box. Round to the nearest hundredth. units?
The length of the line segment that connects points at (5, 4) and (−3, −1) is found to be 9.43 units.
Explain about the distance formula?The distance formula is still a formula used to determine how far apart two places are from one another. The dimensions of these points are unlimited. For instance, you could need to determine the separation between two points in space, a plane, or a line (1, 2, or 3 dimensions) .Using the formula obtained from Pythagoras' theorem, distance can be computed.
The distance formula in coordinate geometry is:
(P, Q) = √ (x2 – x1)² + (y2 – y1)².
Given points: (5, 4) and (−3, −1)
d = √ (-3 - 5)² + (4 + 1)²
d = √ 64 + 25
d = √ 89
d = 9.43
Thus, the length of the line segment that connects points at (5, 4) and (−3, −1) is found to be 9.43 units.
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Confused on what it is asking me to solve. Squared numbers are the answers
Answer:
↓ ↓ ↓
Step-by-step explanation:
Given: f(x)= x² -4x + 3
Find :-
a) f(1)
f(x)= x² -4x + 3
→ Substitute x with with 1:-
[tex]\tt f(1)=\left(1\right)^2-4\left(1\right)+3[/tex]
[tex]\tt f(1)=1-4\cdot \:1+3[/tex]
[tex]\tt f(1)=1-4+3[/tex]
[tex]\boxed{\tt f(1)=0}[/tex]
_______________________
b) f(3)
f(x)= x² -4x + 3
→ Substitute x with with 3:-
[tex]\tt f(3)=\left(3\right)^2-4\left(3\right)+3[/tex]
[tex]\tt f(3)=\left(3\right)^2-4\left(3\right)+3[/tex]
[tex]\tt f(3)=3^2-4\cdot \:3+3[/tex]
[tex]\tt f(3)=3^2-12+3[/tex]
[tex]\tt f(3)=3^2-9[/tex]
[tex]\tt f(3)=9-9[/tex]
[tex]\boxed{\tt f(3)=0}[/tex]
_______________________
c) f(-1)
f(x)= x² -4x + 3
→ Substitute x with with -1:-
[tex]\tt f(-1)=\left(-1\right)^2-4\left(-1\right)+3[/tex]
[tex]\tt f(-1)=\left(-1\right)^2+4\cdot \:1+3[/tex]
[tex]\tt f(-1)=1+4+3[/tex]
[tex]\boxed{\tt f(-1)=8}[/tex]
_______________________
d) -f(1)
f(x)= x² -4x + 3
→ -f(1)
[tex]\tt -f(1)=\left(1\right)^2-4\left(1\right)+3[/tex]
[tex]\tt -f(1)=1-4\cdot \:1+3[/tex]
[tex]\tt -f(1)=1-4+3[/tex]
[tex]\boxed{\tt -f(1)=0}[/tex]
_____________________
Hope this helps! :)
Plssssss help--- Jordan bought 3 books and Felicia bought 5 books. They spent a total of $60. How much did each book cost if they were all the same price.
Step-by-step explanation:
$60÷8=$7.50
divide by 8 because 5+3=8
each book should of cost $7.50
Hi can someone please help me with this!!!
Find the value of a, m, x
the values of a, m, and x will be √5, 3√5, and 2 respectively.
What is the right-angle triangle?A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.
Given, A big right triangle has three other right triangles in it.
Since, In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem
For the smallest right triangle,
Hypotenuse = 3
thus,
3² = 2² + a²
a² = 9 - 4
a² = 5
a = √5
For the medium size triangle,
Hypotenuse = 3 + 6 = 9
Other side = 2 + 4 = 6
Base = m
Thus,
9² = 6² + m²
m² = 81 - 36
m² = 45
m = 3√5
For the biggest triangle,
hypotenuse = 3 + 6 + 3 = 12
Height = 2 + 4 + x = 6 + x
base = 5
Since the given triangle is congruent to the smallest triangle,
(6 + x)/ 12 = 2/3
6 +x = 8
x = 2
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ALGEBRA 1 HW!! I GIVE BRAINLYEST FOR ANSWERS
The domain and range of h(n) are the set of whole numbers
The pattern of the infinite sequenceThe domain and the range of h(n)
Given that
The function h(n), represents the count of houses.
Both n and h(n) can take only whole values.
So, we have the domain and range to be the set of whole numbers
Evaluating h(5) and h(11)
The number of houses is the same as the figure number
This means that
h(5) = 5 and h(11) = 11
The explicit function of h(n)
By the computations above, we have the formula of h(n) to be:
h(n) = n
The values of s(4) and s(7)
Given that
The function s(n), represents the count of segments.
Where the segment is twice the figure number
So, we have
s(4) = 8
s(7) = 14
The growth pattern of s(n)
By the statement above, we have the growth pattern to be a proportional equation with a constant rate of change
The explicit function of s(n)
Based on the statements above, we have
s(n) = 2n
The table of the infinite sequenceComplete the table for f(5) and f(7)
From the table, we can see that
As n increases, the value of f(n) is divided by 2 to get the next term
So, we have
f(5) = 2/2 = 1
f(7) = 1/2/2 = 1/4
The domain of f(n)
The possible values of n are real numbers
So, we have
Domain: All set of real numbers
The observation of the function
Above, we have
As n increases, the value of f(n) is divided by 2 to get the next term
This means that
As n gets larger and larger, the value of f(n) get halved
A doubling sequence g(n)The value of g(4)
From the question, we have
First term, a = 9
Common ratio, r = 2
This means that
g(n) = 2(9)^n-1
So, we have
g(4) = 2(9)^3
g(4) = 1458
Completing the statements
Based on the function definitions, the statements when completed are
g(n) = g(n - 1) * 2g(n) = g(n - 2) * 4g(n) = g(n - 3) * 8The value of the ratioRecall that
g(n) = 2(9)^n-1
So, we have
g(24) = 2(9)^23
g(21) = 2(9)^20
Divide the equations
g(24)/g(21) = 729
Hence, the value of the ratio is 729
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3. If circle 2 were a glide reflection of circle 1, what transformations would be involved?
dilation and reflection
rotation and translation
translation and reflection
reflection and rotation
According to the Cartesian plane graph, it can be inferred that the circle was rotated and translated (option B).
How to identify the movements that were made to circle 1 to become 2?To identify the movements that were made to circle 1 to become 2 we must carefully observe the graph. Once we have analyzed this graph we can infer the movements that were made to the circle. In this case, the rotation was performed because it can be seen that it was rotated having the coordinate (-1.5, 0.5) as a reference or point of rotation.
However, it was also translated because it was shifted a bit down and to the left. So the correct answer would be option B.
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Answer: rotation and translation
Step-by-step explanation: I took the quiz
(2x+3)(xexponent2 - 6x - 2)
Answer:
Step-by-step explanation:
We can use the distributive property and basic algebraic operations to multiply the given expression:
(2x+3)(x^2 - 6x - 2)
= 2x(x^2 - 6x - 2) + 3(x^2 - 6x - 2) // Distribute 2x and 3
= 2x^3 - 12x^2 - 4x + 3x^2 - 18x - 6 // Multiply each term
= 2x^3 - 9x^2 - 22x - 6 // Combine like terms
Therefore, (2x+3)(x^2 - 6x - 2) simplifies to 2x^3 - 9x^2 - 22x - 6.
Area = 2,800 square meters
2,800
Square meters Find the unknown measure of the rectangle
When given the area of a rectangle, and one of the sides, the unknown measure of the rectangle would be 40 meters
How to find the area of a rectangle ?To find the area of a rectangle, you can use the formula:
A = l x w
where A is the area of the rectangle, l is the length of the rectangle, and w is the width of the rectangle.
Seeing as you were given the area to be 2, 800 square meters and one of the sides measures 70 meters, the unknown measure of the rectangle would be:
70x Unknown = 2, 800
Unknown = 2, 800 / 70
Unknown measure = 40 meters
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Full question is:
Area = 2,800 square meters
Side A = 70 meters
Find the unknown measure of the rectangle
9. At a scouts' camp. there is sufficient food to last 72 scouts for 6 days. If 18 scouts do not turn up for the camp, how much longer can the food last for the other scouts?
Answer:
9 54 divided by 9 = 6 72 - 18 = 54
Step-by-step explanation:
15. The solid shape below is made up four equilateral triangles and a square. What is the sum of all the edges in the solid shape?
The sum of all the edges in the solid shape is 24 unit.
What is length?Length is a measurement οf distance οr size. It can refer tο the physical extent οf an οbject, the size οf an area, οr the amοunt οf time sοmething takes. Length is measured in units such as centimeters, meters, feet, inches, yards, miles, and sο οn. Length is an impοrtant cοncept in mathematics and physics, used tο measure distances and calculate speed and οther quantities.
The sum οf all the edges in the sοlid shape is 24. This is calculated by adding the 4 edges οf the square (4 x 1 = 4) plus the 12 edges οf the 4 equilateral triangles (12 x 1 = 12).
Therefοre, 4 + 12 = 24.
Since all the sides οf the triangles and the square are equal in length, it can be said that all the edges in the sοlid shape are equal. This means that the length οf each edge is equal tο 24/24, οr 1. This means that the length οf each edge οf the sοlid shape is 1 unit.
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Complete question:
The solid shape below is made up four equilateral triangles and a square. What is the sum of all the edges in the solid shape?
[Given each side is 1 unit]
EASY MATH POINTS! Answer from the screenshot :)
The ordered pair that would make the function true is option 4 (-1, -4).
What are ordered pairs?As the name implies, an ordered pair is a set of items where the order in which they are placed is of particular significance. In coordinate geometry, ordered pairs are typically used to represent a point on a coordinate plane. They may also be used to depict aspects of a relationship.
The given equation of the graph is y = -0.25x - 2.
Substituting the coordinates in the options we have:
For (0, - 3):
y = -0.25x - 2
- 3 = -0.25(0) - 2
- 3 = -2 False.
For (4, 3)
y = -0.25x - 2
3 = -0.25(4) - 2
3 = -3 False
For (8, 4):
y = -0.25x - 2
4 = -0.25(8) - 2
4 = - 4
False.
For (-4, -1)
-1 = -0.25(-4) - 2
- 1 = -1
True.
Hence, the ordered pair that would make the function true is option 4 (-1, -4)
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This question is for Geometry. If you know the answer, please send.
The measure of side AC of the right triangle is 7.2 units.
What is the measure of side AC?The figure in the image is the of a right triangle.
Angle A = 51 degreeOpposite to angle A = BC = 8.9Adjacent to angle A = ACTo solve for the measure of side AC, we use trigonometric ratio.
The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
Tangent = Opposite / Adjacent
tan( A ) = BC / AC
Plug in the values and solve for side AC.
tan( 51° ) = 8.9 / AC
AC = 8.9 / tan( 51° )
AC = 8.9 / 1.234897
AC = 7.2
Therefore, side AC has a value of 7.2 units.
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The total cost of a belt and a jacket was $91.85, If the price of the belt was 8.61
less than the jacket, what was the price of the belt
Answer: $41.62
Step-by-step explanation:
let the price of the jacket be X
then the price of belt will be X-8.61
according to question
X + X-8.61 = 91.85
2X - 8.61 = 91.85
2X = 91.85 + 8.61
2X = 100.46
X = $50.23
cost of jacket = $ 50.23
cost of belt = $ 41.62
Hope this helps!!!
Answer: $41.62
Step-by-step explanation:
*j = jacket* *b = belt*
belt + jacket = 91.85 (the total cost of the belt and jacket)
belt = jacket - 8.61 (the price of the belt is $8.61 less than the jacket)
We can use substitution to solve for the value of b.
Substitute the second equation into the first equation:
(j - 8.61) + j = 91.85
Simplify by combining like terms:
2j - 8.61 = 91.85
Add 8.61 to both sides:
2j = 100.46
Divide both sides by 2:
jacket = 50.23
b = j - 8.61
b = 50.23 - 8.61
b = 41.62
I give crown help and more points if you help
The equation and solution for given situations are
Situation 1: 1.45x + 3.25 = 9.05; 4 pounds
Situation 2: 850 - 15a = 805; 3 days
Situation 3: 12.50 + 1.50r = 39.50; 18 times
Situation 4: 29.95x + 5.95 = 185.65; 6
Situation 5: y = x - 5; 37 inches
Linear equation:
The linear equation is a mathematical statement that is used to find an unknown quantity or number in a given situation. In this, we used different types of variables to represent the unknown value.
To solve the following situations use different variables and solve them for the value of variables.
Here we have
Situation 1:
A freight company charges $ 1.45 per pound plus a handling fee of $ 3.25. A customer was charged $ 9.05 to ship a package
Let 'x' be the weight of the package
=> 1.45x + 3.25 = 9.05
=> 1.45x = 5.8
=> x = 4
∴ weight of the package is 4 pounds
Situation 2
A tenant is charged $ 850 for rent on the 5th of the month. For every day they are early, they can deduct $ 15 from the rent. The tenant pays $ 805
Let the tenant pay the rent 'a' number of days early
=> 850 - 15a = 805
=> 15a = 45
=> a = 3
∴ The tenant paid 3 days early.
Situation 3
Jordan pays $ 12.50 for a city bus pass lowering his bus fare to $ 1.50 per ride. In March, Jordan spent $ 39.50 to ride the city How many times did he ride the bus
Let Jordan ride for 'r' time
=> 12.50 + 1.50r = 39.50
=> 1.5r = 27
=> r = 18
∴ Jordan ride the bus 18 times
Situation 4
Jung purchased several video games priced at $ 29.95 and the shipping cost is $ 5.95. His total purchase is $ 185.65
Let Jung buy 'y' number of games
=> 29.95x + 5.95 = 185.65
=> 29.95x = 179.7
=> x = 6
∴ Jung purchased 6 video games.
Situation 5:
Milo is five inches shorter than his brother, Jayce. Milo is 42 inches tall
Let Jayce is 'x' inches and Milo is 'y' inches
=> y = x - 5
=> 42 = x - 5 [ From the data ]
=> x = 37 inches
Therefore,
The equation and solution for given situations are
Situation 1: 1.45x + 3.25 = 9.05; 4 pounds
Situation 2: 850 - 15a = 805; 3 days
Situation 3: 12.50 + 1.50r = 39.50; 18 times
Situation 4: 29.95x + 5.95 = 185.65; 6
Situation 5: y = x - 5; 37 inches
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Camilla picks a marble at random. Without putting the first marble back, she picks a second marble at random. Are thCamilla picks a marble at random. Without putting the first marble back, she picks a second marble at random.
Are these two events dependent or independent?
these two events are dependant because the probability of the second event depends on the probability of the first event