Answers
Answer:
9. 6.6
10. 6
11. 8.9
Step-by-step explanation:
Pythagorean theorem states that a^2 + b^2 = c^2 where a and b are legs, and c is the hypotenuse (the longest side of the triangle).
For the first one, you're given the leg (3.1 in) and the eg (5.8 in), so you can substitute those into the equation:
a^2 + b^2 = c^2
(3.1)^2 + (5.8)^2 = c^2
Then simplify
9.61 + 33.64 = c^2
43.25 = c^2
To isolate c, take the square root of both sides.
The square root of 43.25 is 6.57647322, but they want you to round it to the nearest tenth, so round it to 6.6
For the second one, you're given one leg length and the hypotenuse.
8^2 + b^2 = 10^2
64 + b^2 = 100
To solve for b, subtract 64 from both sides
b^2 = 36
and take the square root of both sides
b = 6
For the last one, you're given a leg length and the hypotenuse
a^2 + 4.3^2 = 9.9^2
a^2 + 18.49 = 98.01
to isolate a, subtract 18.49 from both sides
a^2 = 79.52
then take the square root of both sides
a = 8.91739872 which rounds to 8.9
Related Questions
Find m and b of y
= mx + b.
1
X
1
3
10.9
5
14.5
7
19.8
10
26.0
15
35.2
y / 6.4
Answers
Answer:
m = 2.25
b = 4.15
Step-by-step explanation:
Let us consider the points (1, 6.4) & (3, 10.9)
Slope (m) = (10.9 - 6.4)/(3 - 1) = 4.5/2 = 2.25
Now, by point slope formula of a line, we have:
[tex] y - y_1 = m(x - x_1) [/tex]
[tex] \therefore y - 6.4 = 2.25(x - 1)[/tex]
[tex] \therefore y - 6.4 = 2.25x - 2.25[/tex]
[tex] \therefore y = 2.25x - 2.25+6.4[/tex]
[tex] \therefore y = 2.25x + 4.15[/tex]
Equating it with y = mx + b, we find:
m = 2.25
b = 4.15
given the points (5,7)and(2,4)
find the equation passing through
these points
Answers
Answer:
y=x+2
Step-by-step explanation:
Im going to start by presuming its a linear equation so the formula is:
y=mx+n so now we just make a simulanious equation:
7=5m+n
4=2m+n
which we subtract to get
3=3m
m=1
then we plug it into the first equation
7=5+n
n=2
so the equation is:
y=x+2
Aftab pays £3.10 per concrete slab. (b) How much will it cost Aftab to buy enough concrete slabs to make the patio?
Answers
To determine how much it will cost Aftab to buy enough concrete slabs to make the patio, you will need to know the size of the patio and how many slabs are needed to cover it. Once you have this information, you can multiply the number of slabs by the cost per slab to find the total cost. For example, if the patio is 10 square meters and requires 20 concrete slabs to cover it, the total cost would be 3.10 * 20 = £62.
How many ounces each of a 63% acid solution and a 33% acid solution must be mixed to produce 100 ounces of a 39% acid solution?
Answers
Answer:
20 ounces of the 63% solution and 80 ounces of the 33% solution.
Step-by-step explanation:
Let x = number of ounces of 63% solution.
Let y = number of ounces of 33% solution.
The total solution to be made is 100 oz.
x + y = 100
x ounces of 63% solution is 0.63x ounces of acid.
y ounces of 33% solution is 0.33y ounces of acid.
100 ounces of 39% solution is 39 ounces of acid
0.63x + 0.33y = 39
The system of equations is
x + y = 100
0.63x + 0.33y = 39
Multiply the both sides of the first equation by -0.33. Then add it to the second equation.
-0.33x - 0.33y = -33
+ 0.63x + 0.33y = 39
---------------------------------
0.3x = 6
x = 6/0.3
x = 20
x + y = 100
20 + y = 100
y = 80
Answer:
20 ounces of the 63% solution and 80 ounces of the 33% solution.
Trace triangle JKL and point P.
Draw the dilation of AJKL
using scale factor 3 and P
as the center of dilation,
Answers
The dilation of triangle JKL, with point P at the origin and scale factor of 3, is graphed on the image shown at the end of the answer.
What is a dilation?A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.
The coordinates of the vertices of the original triangle JKL for this problem are attributed as follows:
J(1,1).K(1,5).L(4,1).The scale factor of the dilation is given as follows:
k = 3.
Meaning that each coordinate of each vertex of the triangle will be multiplied by 3, thus obtaining the coordinates of the vertices of the image of triangle JKL after the dilation, as follows:
J'(3,3).K'(3,15).L'(12,3).More can be learned about dilation at brainly.com/question/3457976
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Find the value of x
144 (x-36)
Answers
Answer:
it answer is 180
Step-by-step explanation:
plz mark me as brainlist
Answer:
[tex]\huge\boxed{\fcolorbox{green}{violet}{Answer}}[/tex]
[tex]144(x - 36) \\ = 144 \times x - 144 \times 36 \\ = 144x - 5184 \\ x = \frac{5184}{144} \\ x = 36[/tex]
What are the dimensions of this shape in terms of the dimensions of the circle?
Answers
The diameter or radius of the circle is the dimension of a circle.
What is a circle?The circular line is drawn equidistant from the center point of a circle, which is a two-dimensional geometry object on a plane.
A geometrical rule states that the dimension of an object with n dimensions is n+1. For instance, a square is made up of line segments that are 1d and a cube is built up of squares that are 2d. The circle is therefore 2d or two-dimensional space since it is made up of 1d diameters.
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Answer:
The length of the parallelogram is half of the circumference of the circle, and its height is equal to the radius of the circle.
Step-by-step explanation:
5. Jackson purchased a pack of game cards that was on sale for 22% off. The sales tax in his county is 6%. Let y represent the original price of the cards. Write an expression that can be used to determine the final cost of the cards.
Answers
The decimal value is exact without any rounding.
==========================================================
Explanation:
If Jackson saves 22%, then he pays the remaining 100% - 22% = 78%, which leads to the decimal value 0.78
An increase of 6% leads to 100%+6% = 106% and that converts to 1.06
Multiply those decimal values: 0.78*1.06 = 0.8268; this trick is useful to chain together multiple discounts and/or tax increases.
Therefore, the final cost expression is 0.8268y where the variable y is the original price before the discount and taxes.
---------
Extra info:
The expression 0.8268y tells us that Jackson is paying 82.68% of the original price. Note how 100% - 82.68% = 17.32%
This means Jackson is getting a real discount of 17.32% after the taxes have been considered.
What is the area of the triangle? 20 16 12 heh sorry !!!!!!
Answers
Answer:
96 units^2
Step-by-step explanation:
The formula for the area of a triangle: b*h/2
b= 12
h= 16
Work:
12*16/2
192/2
96 uints^2
Answer:
[tex] {96} \: cm[/tex]^{2}Step-by-step explanation:
Hope it is helpful...A researcher found the average cost of one and two-bedroom apartments for different cities and graphed the data in a scatter plot, with costs of one-bedroom apartments along the x-axis. The variables have a strong linear correlation and the equation for the regression line is yˆ=1.182x+19.096 .
Based on the equation, what should the researcher expect for the average cost of a two-bedroom apartment in a city where the average cost of a one-bedroom apartment is $815?
Answers
Answer:
About $982.
Step-by-step explanation:
The average cost is:
[tex]y = 1.182x + 19.096[/tex]
When the cost of a one-bedroom apartment is 815, we have [tex]x = 815[/tex], so we should expect the cost to be:
[tex]y = 1.182(815) + 19.066 = 982.4[/tex]
So:
About $982.
The diagram shows a triangle.
13.4 cm
1
7.6 cm
Work out the area of the triangle.
Answers
Answer:
50.92
Step-by-step explanation:
13.4 x 1 x 7.6=101.84
101.84÷2=50.92
I think that might be it but if I am wrong I am sorry that is just what I learned
Answer:
31.0
Step-by-step explanation:
13.4
+17.6
=====
31.0
The temperature today will be 2 times lower than last year's temperature on the same day. What will today's temperature be if it was -8.2° last year?
Answers
Answer:
Two times lower than last year's temperature
Let today's Temperature be x
x/2 = -8.2°
x = -8.2°*2
x = -16.4°✓Solve each equation for both variables help please
Answers
Answer:
x=2 y= -1
Step-by-step explanation:
Took me 5 minutes to write steps and unfortunately it disappeared. I am so sorry. But the answer is correct
-50 POINTS- Already asked 3 times someone help pls. Don’t guess either.
Answers
Answer:
To find the coordinates of the point on the x-axis that is reflected over the x-axis from the point P, you can use the formula (x, -y). In this case, the x-coordinate of point P is 4, so the x-coordinate of the reflected point will also be 4. The y-coordinate of point P is 7, so the y-coordinate of the reflected point will be -7. Therefore, the coordinates of the reflected point are (4, -7).
How do you undo addition
How do you undo subtraction
How do you undo multiplication
How do you undo division?
Answers
Answer:
To undo addition, you need to subtractto Undo subtraction, you need to addto undo multiplication, you need to divideto undo division, you need to multiplyBasically perform the opposite operation in order to undo a given operation
Step-by-step explanation:
Can y’all help me on question 24?!
Answers
24. 523.78
25. 6.3
Can y’all help me on question 11?!
Answers
Answer:
B and D
Step-by-step explanation:
B.
5 x 9 + 7 = 52
45 + 7 = 52
52 = 52
D.
6 x 9 + 4 = 58
54 + 4 = 58
58 = 58
r
Assignment
and
A rectangular patio is 10.2 mlong
6.8 m wide
a calculate the area of the patio
If hes cost # 3500
the cost of thing the patio
c If the cost of labour is at 1300 /m2.
Calculate the amount paid for the
per m2, calculate
patio
Answers
Answer:
a) 69.36 square meters
b) 242,760 cost of tiles
c) 332,928 total paid for patio
Step-by-step explanation:
A rectangular patio is 10.2 m long 6.8 m wide
a) calculate the area of the patio
b) If tiles cost # 3500/m^2, calculate the cost of tiling the patio
c) If the cost of labour is 1300 /m2.
Calculate the amount paid for the patio
---------------------------------------------------
Area of the patio is length x width:
10.2 x 6.8 = 69.36 square meters
---------------------------------------------------
Tile cost = area x cost of tiles/square meter :
69.36 x 3500 = 242,760
---------------------------------------------------
Labour cost = area x cost of labour/square meter:
69.36 x 1300 = 90,168
----------------------------------------------
Total paid for the patio = cost of tiles + cost of labour
= 242,760 + 90,168 = 332,928
simplify -1.5 (-3.6 +2)
Answers
Answer:
2.4
Step-by-step explanation:
Add -3.6 and 2 inside the bracket. Then multiply the result by -1.5.
[tex]-3.6 + 2 = -1.6\\-1.5(-1.6) = 2.4[/tex]
Note: Two negatives make a positive.
Step-by-step explanation:
(-1 5x-3.6)+(-1.5x2)
=5.4+-3
=5.4-3
=2.4
A quadratic polynomial which has zeros at -7 and 5. ?
Answers
Answer:
x^2 + 2x - 35
Step-by-step explanation:
Sum of zeros
= - 7 + 5
= - 2
Product of zeros
= - 7 x 5
= - 35
x^2 - ( sum of zeros )x + product of zeros
= x^2 - ( - 2 ) x + ( - 35 )
= x^2 + 2x - 35
The Quadratic polynomial is x^2 + 2x - 35.
Helpp!!! Im stuck on this question!!!
Answers
for an inequality graph, if the line is dashed, that means that the border line is not part of the shaded region, so any points on it are not a solution of it, any points inside the shaded region or "true" region are solutions to it, only if the border line is solid then the border is part of the "true" region, Check the picture below.
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Answers
Answer:
.
<_>
.
()_()
.
Step-by-step explanation:
Predict a ranking for the speed of sound in four different substances: steel, 25°C air, 50°C air, and water. Use the kinetic theory of matter to defend your predictions.
Answers
Based on the principles of kinetic theory, the speed of sound in matter is determined by the mean free paths of the molecules that make up the matter and the properties of the material itself.
What is speed?Velocity is the speed at which an object moves or changes position over a period of time. It is usually measured in units such as meters/second, miles/hour, kilometers/hour. It is an important factor in the movement of objects and the movement of sound, light and other forms of energy. Speed is also an important factor in transport safety, as it affects how long it takes a vehicle to stop and how far it must travel to stop safely.
Predict the ranking of sound speeds for four different materials.
Steel, 25°C air, 50°C air and water. Use the theory of motion of matter to protect your predictions.
Therefore, the speed of sound varies greatly depending on the material. Below is the ranking of the speed of sound for the four substances listed. From fastest to slowest:
1. 25°C Air: The speed of sound in warm air at 25°C is the fastest of the four substances, and because air is made up of both light and heavy molecules, it can travel quickly. The speed of sound in warm air at 25 °C is about 343 m/s.
2. 50°C air: The speed of sound in air at 50°C is slower than in air at 25°C. This is because molecules in warm air spread out more and move more slowly. The speed of sound in air at 50 °C is approximately 331 m/s.
3. Water: Water molecules are denser and move slower, so the speed of sound in water is slower than in air. The speed of sound in water is approximately 1,482 m/s.
4. Steel: The speed of sound in steel is the slowest of the four substances. This is because steel is composed of heavier molecules that move slower than those in air and water.
Overall, the order of sound velocities for the four materials is air at 25°C, air at 50°C, water, and steel. This classification is based on the principle of kinetics that the speed of sound in a material is determined by the mean free paths of the molecules that make up the material and the properties of the material itself.
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Math- algebra 1 - please help
Answers
For both pizzas A and B to cost the same, there must be 5 toppings. Equations can be categorized as identities or conditional equations.
what is equation ?The number is said to be in its simplest form when divided into its smallest equivalent fraction. What should be done to find the most basic form. Look for common factors in the numerator and denominator. Verify a fractional integer to verify if it qualifies as a prime number. A statement having two equilateral triangles and an equivalent sign in the middle is called an equation in mathematics. The general form of any equation contains the degrees of all the variables in descending order. The conventional form of a linear model is an x + b = 0. The general form of a linear equation with two variables is an x + b y + c = 0. (or something similar). Equations can be categorized as identities or conditional equations. An identity holds true regardless of the value given to the variables.
given
number of toppings be x
number of toppings for pizza A = $10 + x*$1.5
number of toppings for pizza B = $12.5 + x*$1
10 +1.5x = 12.5 + x
10 -12.5 = x- 1.5x
-2.5 = - 0.5x
x = 5
For both pizzas A and B to cost the same, there must be 5 toppings.
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My new year's resolution using mathematics word essay 200 words
Answers
To achieve this goal, I plan to set aside time each week to practice and study math. I will start by reviewing basic concepts and then move on to more advanced topics. I will also try to find real-life situations where I can apply my mathematical knowledge, such as budgeting and calculating distances and speeds.
In addition to self-study, I plan to seek out opportunities to learn from others. This might involve taking a math class at a local college or finding a tutor to help me with specific concepts that I struggle with.
I am confident that with dedication and hard work, I can make significant progress in my mathematical abilities. By the end of the year, I hope to have a stronger foundation in math that will benefit me in both my personal and professional endeavors.
This Venn diagram has three regions. In which region does any rectangle belong? A B C
Answers
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
(5x3)+(nx4)=5(3+4) write each missing number.
Answers
Answer:
5
Step-by-step explanation:
5 x 3 = 15
n x 4 = 4n
3 + 4 = 7
(5 x 3) + (n x 4) = 5(3 + 4)
15 + 4n = 5*7
15 + 4n = 35
4n = 35 - 15
4n = 20
n = 20/4
n = 5
Hence, the value of missing number (n) is 5.
What is the solution to the linear equation?
+pag+
O p = 1
O p = 2
o p= 8
O p = 10
Answers
The solution of the equation will be 1. Then the correct option is A.
What is the solution to the equation?In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.
The equation is given below.
2/5 + p = 4/5p + 3/5
Simplify the equation for p, then we have
2/5 + p = 4/5p + 3/5
p - 4/5p = 3/5 - 2/5
1/5 p = 1/5
p = 1
The solution of the equation will be 1. Then the correct option is A.
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Find 45% of 60???????
Answers
Answer:
27
Step-by-step explanation:
To find 45% of 60, you can multiply 60 by 0.45
60 x 0.45 = 27
45% of 60 is 27.
Help I don’t know how to do this
Answers
Answer:
[see below]
Step-by-step explanation:
[tex]3*2^t[/tex]
When 't' is 1:
[tex]3*2^1\\\\3*2\\\\\boxed{6}[/tex]
When 't' is 4:
[tex]3*2^4\\\\3*16\\\\\boxed{48}[/tex]
Hope this helps.
Answer:
Step-by-step explanation:
3 time 2 with the power of t
You see the given values, 1 and 4?
All you need to do is replace those values with 1 and 4.
3 x 2 with the power of 1.
2 times the power of one is just 2 because you aren't multiplying it with another 2.
So, 3 times 2 is 6.
3 x 2 with the power of 4
2 x 2 x 2 x 2 = 16
It's not 2 times 4; it's 2 times the power of 4-- which means we multiply the number by itself depending on the given value we're given.
I hope this helps!