Answers
Answer:
x = 1.25, y = 1.75
Step-by-step explanation:
The smaller and larger triangles are similar triangles. (the 2 triangles have the same angles).
We know that the smaller triangle has length 8 for it's bottom side when the larger triangle has length 10. This means the scale factor between the 2 is 10 / 8 which is 1.25. Therefore by multiplying the side lengths of the smaller triangle by 1.25 we get the side lengths of the larger triangle.
5 * 1.25 = 6.25
7 * 1.25 = 8.75
However we don't want the whole side lengths we want x and y, We need to subtract 5 and 7 respectively from the lengths of the larger triangles.
Therefore the lengths must be: 6.25 - 5 = 1.25
and 8.75 - 7 = 1.75
Therefore x and y equal 1.25 and 1.75
Related Questions
Poles are placed 60 m apart along a road 8.4 km how many poles were needed?
Answers
Answer:
140 poles
Step-by-step explanation:
1. Convert to the same unit. Either meters to kilometers or kilometers to meters, so you can complete the computation.
60 m = 0.06 km (divide by 1,000) - see image #12. Divide 0.06 by 8.4 (8.4/0.06 = 140).
3. 140 poles can be placed on the 8.4 km road when separated by 60 m or 0.06 km.
WILL MARK BRAINLIEST!!! PLZ HELP!!!
Answers
Answer:
x = -5.
Step-by-step explanation:
The solutions of the equation is when the two functions intersect. That is at (-5, 5.5), so where x = -5.
Hope this helps!
Answer:
x = -5
Step-by-step explanation:
f(x) = g(x) has more than one solution, because they intersect at two points.
The question asks for one solution of f(x) = g(x).
One point where they intersect is at (-5, 5.5), as shown in the graph.
(x , y)
x = -5, y = 5.5
How many times larger is 5 × 106 than 5 × 102?
PLEASE HELP !
Answers
Divide the largest one by the smallest one : for example, the number 4 is 42=2× larger than the number 2.
Indeed, If you multiply 2 by 42 you'll get 4.
Of course, if a number is n× larger than another, then this other is n× smaller than the first one.
It will of course work with floating point : 0.6×10.6≈0.6×1.6667=1 so 1 is ~1.6667 times larger than 0.6 while 0.6 is ~1.6667 smaller than 1.
plz mark me as the Brainleist plz
Pls help asap. I will give Brainliest. Show ur work. 2 attachments. (; For the fractions, subtract, and make sure the answer is simplified plz. (: Number 16 for the fractions says: 9 - 2 2/3. PLZ HELP ASAP!!!! U SHALL NAME THEE BRAINLIEST!!!! (:
Answers
Answer:
1) 3x + 44
2) 2y - 8
3) x - 6
15) 5 7/8
16) 6 1/3
17) 3 7/9
Step-by-step explanation:
1) 49 + 4 - 5 - 4 + 3x = 3x + 44
2) -y - 5 + y + 2(y) - 3 = 2y - 8
3) 4x - 3 - 3(x + 1) = 4x - 3 - 3x - 3 = x - 6
15) 7 1/4 - 1 3/8 = 7 2/8 - 1 3/8 = 6 10/8 - 1 3/8 = 5 7/8
16) 9 - 2 2/3 = 8 3/3 - 2 2/3 = 6 1/3
17) 10 1/3 - 6 5/9 = 10 3/9 - 6 5/9 = 9 12/9 - 6 5/9 = 3 7/9
Rectangle EFGH is the image of rectangle ABCD after a sequence of transformations. Which statement describes the transformation that occurred?
A. Rectangle ABCD was rotated 90 counterclockwise about the origin followed by dilation with center (0, 0) and a scale factor of 3/4.
B. Rectangle ABCD was translated right 3 units and down 11 units followed by a dilation with center (0, 0) and a scale factor of 1/2.
C. Rectangle ABCD was dilated with center (0, 0) and a scale factor of 1/2 followed by a translation right 3.5 units and down 8 units.
Answers
Answer:
C. Rectangle ABCD was dilated with center (0, 0) and a scale factor of 1/2 followed by a translation right 3.5 units and down 8 units.
Step-by-step explanation:
See figure for intermediate steps.
The transformed rectangle ABCD was dilated with center (0, 0) and a scale factor of 1/2 followed by a translation right 3.5 units and down 8 units.
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the rectangle be represented as ABCD
Now , the coordinates of the rectangle are
A ( 1 , 9 ) , B ( 1 , 6 ) , C ( 7 , 6 ) and D ( 7 , 9 )
Now , the rectangle is dilated with scale factor of 1/2 , we get
A ( 0.5 , 4.5 ) , B ( 0.5 , 3 ) , C ( 3.5 , 3 ) and D ( 3.5 , 4.5 )
And , the rectangle is translated right 3.5 units and down 8 units.
So , the new coordinates of the rectangle is
E ( 4 , -3.5 ) , F ( 4 , -5 ) , G ( 7 , -5 ) and H ( 7 , -3.5 )
Hence , the transformed rectangle is E ( 4 , -3.5 ) , F ( 4 , -5 ) , G ( 7 , -5 ) and H ( 7 , -3.5 )
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evaluate 2/5g + 3h - 6 when g = 10 and z = 6
Answers
Answer:
16
Step-by-step explanation:
Well first we need to plug in 10 for g and 6 for h.
2/5(10) + 3(6) - 6
4 + 18 - 6
22 - 6
16
Thus,
the answer is 16.
Hipe this helps :)
Answer:
16
Step-by-step explanation:
We are given the expression:
2/5g+ 3h - 6
We know that g=10 and h=6. Therefore, we can substitute 10 and 6 into the expression and solve according to PEMDAS( Parentheses, Exponents, Multiplication, Division, Addition, Subtraction)
2/5(10)+3(6)-6
First, multiply 2/5 and 10
4+ 3(6)-6
Next, multiply 3 and 6
4+18-6
Next, add 4 and 18
22-6
Finally, subtract 6 from 22
16
2/5g + 3h - 6 when g=10 and h= 6 is 16.
An investment counselor calls with a hot stock tip. He believes that if the economy remain strong the investment rules will result In a profit of $30,000. If the economy grows at a moderate pace the investment will result in a profit of $10,000 however if the economy goes into recession the investment will result in a loss of $30,000. You contact and economics who believes there is a 20% probability the economy will remain strong a 70% probability the economy will grow at a moderate pace in a 10% probability the economy will slip into recession. What is the expected profit from this investment?
Answers
Answer: $10,000
Step-by-step explanation:
Given the following :
Profit if economy remains strong = $30,000
Profit if economy grows at moderate pace = $10, 000
Loss if economy goes into recession = $30,000
Probability that economy will remain strong = 20% = 0.2
probability the economy will grow at a moderate pace = 70% = 0.7
probability the economy will slip into recession = 10% = 0.1
Expected value = sum of (x * p(x))
Here expected value equals;
Strong economy profit = $30,000 * 0.2 = $6000
Moderate economy profit = $10,000 * 0.7 = $7000
Loss on Recession = $30,000 * 0.1 = $3000
Expected profit = $(6000 + 7000 - 3000)
Expected profit = $10,000
How much money do winners go home with from the television quiz show Jeopardy? To determine an answer, a random sample of winners was drawn and the amount of money each won was recorded and listed below. Estimate with 96% confidence the mean winning's for all the show's players.
Answers
Step-by-step explanation:
Given:
x = 26214.47
s = 5969.25
n = 15
t = 2.046
The confidence interval is:
CI = x ± t (s / √n)
CI = 26214.47 ± 2.046 (5969.25 / √15)
CI = (23061.06, 29367.88)
Find the coordinates of P so that P partitions the segment AB in the ratio 3:1 if A(0,7) and B(−4,2).
Answers
Answer:
(-3, 3.25)
Step-by-step explanation:
5/8 of the staff are male. 5/12 of the staff works part time at the aquarium.What fraction of the staff is female?
Answers
Answer:
3/8
Step-by-step explanation:
If 5/8 of the staff is male, then 8/8 is the total number of staff.
8/8 - 5/8 = 3/8
3/8 of the staff is female.
Hope this has helped. If the question has more to it, then please specify.
What is the volume of the cone?
What is the volume of the cylinder?
What is the volume of the sphere?
At the craft store discussed above, the clay cone is $12, the clay cylinder is $30, and the clay sphere is $28. Which is the best buy? Explain.
Hint: Which shapes gives you more clay for less money?
Answers
Answer:
[tex]Volume = 1017.36\ in^3[/tex] -- Cone
[tex]Volume = 3052.08\ in^3[/tex] -- Cylinder
[tex]Volume = 3052.08\ in^3[/tex] -- Sphere
Best Buy: Sphere Clay
Step-by-step explanation:
Given
Solid Shapes: Cone, Cylinder, Sphere
Cost of Cone Clay = $12
Cost of Cylinder Clay = $30
Cost of Sphere Clay = $28
Required
Determine the volume of each shape
Which is the best buy
CONECalculating VolumeThe volume of a cone is calculated as thus;
[tex]Volume = \frac{1}{3}\pi r^2h[/tex]
From the attached diagram
Radius, r = 9 inches; Height, h = 12 inches and [tex]\pi = 3.14[/tex]
Substitute these values in the above formula;
[tex]Volume = \frac{1}{3} * 3.14 * 9^2 * 12[/tex]
[tex]Volume = \frac{3052.08}{3}[/tex]
[tex]Volume = 1017.36\ in^3[/tex]
Calculating Volume:Price RatioThe unit cost of the cone is calculated as thus;
[tex]Volume:Price = \frac{Volume}{Total\ Cost}[/tex]
Where
[tex]Volume = 1017.36\ in^3[/tex]
[tex]Total\ Cost = \$12[/tex] (Given)
[tex]Volume:Price = \frac{1017.36\ in^3}{\$ 12}[/tex]
[tex]Volume:Price = 84.78 in^3/\$[/tex]
[tex]Volume:Price = 84.78 in^3:\$1[/tex]
CYLINDERCalculating VolumeThe volume of a cylinder is calculated as thus;
[tex]Volume = \pi r^2h[/tex]
From the attached diagram
Radius, r = 9 inches; Height, h = 12 inches and [tex]\pi = 3.14[/tex]
Substitute these values in the above formula;
[tex]Volume = 3.14 * 9^2 * 12[/tex]
[tex]Volume = 3052.08\ in^3[/tex]
Calculating Volume:Price RatioThe unit cost of the cone is calculated as thus;
[tex]Volume:Price = \frac{Volume}{Total\ Cost}[/tex]
Where
[tex]Volume = 3052.08\ in^3[/tex]
[tex]Total\ Cost = \$30[/tex] (Given)
[tex]Volume:Price = \frac{3052.08\ in^3}{\$ 30}[/tex]
[tex]Volume:Price = 101.736\ in^3/\$[/tex]
[tex]Volume:Price = 101.736\ in^3:\$1[/tex]
SPHERECalculating VolumeThe volume of a sphereis calculated as thus;
[tex]Volume = \frac{4}{3}\pi r^3[/tex]
From the attached diagram
Radius, r = 9 inches; and [tex]\pi = 3.14[/tex]
Substitute these values in the above formula;
[tex]Volume = \frac{4}{3} * 3.14 * 9^3[/tex]
[tex]Volume = \frac{9156.24}{3}[/tex]
[tex]Volume = 3052.08\ in^3[/tex]
Calculating Volume-Price ratioThe unit cost of the cone is calculated as thus;
[tex]Volume:Price = \frac{Volume}{Total\ Cost}[/tex]
Where
[tex]Volume = 3052.08\ in^3[/tex]
[tex]Total\ Cost = \$28[/tex] (Given)
[tex]Volume:Price = \frac{3052.08\ in^3}{\$ 28}[/tex]
[tex]Volume:Price = 109.003\ in^3/\$[/tex]
[tex]Volume:Price = 109.003\ in^3:\$1[/tex]
Comparing the Volume:Price ratio of the three clay;
The best buy is the sphere because it has the highest volume:price ratio.
Having the highest volume:price ratio means that with $1, one can get more clay from the sphere compared to other types of clay
Add 1 4/12 +9/12 Convert to a mixed fraction,
Answers
Answer:
2 ¹/12
Step-by-step explanation:
convert 1 4/12 to an improper fraction
(1×12+4)=16/12
16/12+9/12=25/12
convert 25/12 to a mixed fraction
=2 ¹/12
You have $1000 to invest in an account and need to have $2000 in one year. What interest rate would you need to have in order to have this if the amount is compounded weekly? Round your answer to the nearest percent.
Answers
Answer:
[tex]\large \boxed{\sf \ \ 70\% \ \ }[/tex]
Step-by-step explanation:
Hello,
We assume that the year is 52 weeks, and we note r the interest rate we are looking for. The rate is expressed in percent and is annually, meaning that the investment is, after the first week :
[tex]1000\cdot (1+\dfrac{r\%}{52})=1000\cdot (1+\dfrac{r}{5200})[/tex]
For the second week
[tex]1000\cdot (1+\dfrac{r}{5200})^2[/tex]
After 52 weeks
[tex]1000\cdot (1+\dfrac{r}{5200})^{52}[/tex]
and we want to be equal to 2000 so we need to solve:
[tex]1000\cdot (1+\dfrac{r}{5200})^{52}=2000\\\\\text{*** divide by 1000 both sides ***}\\\\(1+\dfrac{r}{5200})^{52}=\dfrac{2000}{1000}=2\\\\\text{*** take the ln **}\\\\52\cdot ln(1+\dfrac{r}{5200})=ln(2)\\\\\text{*** divide by 52 ***}\\\\ln(1+\dfrac{r}{5200})=\dfrac{ln(2)}{52}\\\\\text{*** take the exp ***}\\\\\displaystyle 1+\dfrac{r}{5200}=exp(\dfrac{ln(2)}{52})=2^{(\dfrac{1}{52})}=\sqrt[52]{2}\\\\r = 5200\cdot (\sqrt[52]{2}-1)=69.77875...[/tex]
Rounded to the nearest percent, the solution is 70%.
If you want to double your capital in one year with weekly compounding you need an interest rate of 70% !!
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
4%
Step-by-step explanation:
Convert 2.41 cm2 into mm2 *the 2 means squared
Answers
Answer:
241 mm^2.
Step-by-step explanation:
There are 10 mm in a cm so there are 10*10 = 100 mm^2 in a cm^2.
So the answer is 2.41 * 100 = 241 mm^2.
Answer:
241mm²
Step-by-step explanation:
If 10mm = 1cm,
then 100mm² = 1cm²
2.41 × 100 = 241mm²
PLEASE HELP -The horizontal cross-sectional shapes of the given prism are all congruent.
Answers
Answer:
false!
Step-by-step explanation:
i just answered true and it was false. so false is correct!
The statement that the horizontal cross-sectional shapes of the given prism are all congruent is false.
What are prisms?Prisms are three-dimensional shapes that have its two ends to be parallel and congruent
The given prism is a trapezoidal prism.
For the horizontal sectional shapes given prism to be congruent, the prism must be cut through the middle
Since the prism can be divided at any point, then the given statement is false
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Find the distance between the pair of points:
(-6, -2) and (0, -1).
Distance = ✓
Answers
Answer:
The answer is
√37 unitsStep-by-step explanation:
The distance between two points is found by using the formula
[tex] \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } [/tex]
Where (x1 , y1) and ( x2 , y2) are the points
The distance between (-6, -2) and (0, -1) is
[tex] \sqrt{ {( - 6 - 0)}^{2} + {( - 2 + 1)}^{2} } \\ \\ = \sqrt{ {( - 6})^{2} + {( - 1)}^{2} } \\ \\ = \sqrt{36 + 1} \\ \\ = \sqrt{37} \: units[/tex]
Hope this helps you
Answer: √37 units
hope that helped!
Which ordered pair is in the solution set of the system of linear inequalities?
y > Three-halvesx – 1
y < Three-halvesx – 1
On a coordinate plane, 2 dashed straight lines are shown. The first line has a positive slope and goes through (0, negative 1) and (2, 2). Everything to the right of the line is shaded. The second line has a positive slope and goes through (0, negative 1) and (2, 2). Everything to the left of the line is shaded.
(–5, 2)
(2, 2)
(5, 2)
no solution
Answers
Answer: No solution
Step-by-step explanation: If you are doing the Unit Test on edge2020 then D No solution is the answer.
Answer:
the answer is no "solution"
Unit Test on Edge 2023
what is the ratio of the volumes of two similar spheres, given that the ratio of their radii is 5:9?
PLEASE NEED ANSWERS
Answers
Answer:
125 : 729
Step-by-step explanation:
Given the ratio of the radii of 2 similar spheres = a : b , then
ratio of volumes = a³ : b³
Here the ratio of radii = 5 : 9 , thus
ratio of volumes = 5³ : 9³ = 125 : 729
For the following system, use the second equation to make a substitution for y in the first equation. 3x + y = 1 y + 4 = 5x What is the resulting equation? 1. 3x + 5x - 4 = 1 2. 3x + 4 - 5x = 1 3. 3x + 5x + 4 = 1
Answers
Answer:
The answer is A.
Step-by-step explanation:
So we have the two equations:
[tex]3x+y=1\\y+4=5x[/tex]
To make a substitution of the second equation into the first equation, we need to isolate the y variable in the second equation. Thus:
[tex]y+4=5x\\y=5x-4[/tex]
Now, we can substitute this into the first equation. Therefore:
[tex]3x+y=1\\3x+(5x-4)=1\\3x+5x-4=1[/tex]
Which is a true statement about an isosceles right triangle? A: Each leg is √3 times as long as the hypotenuse. B: The hypotenuse is √3 times as long as either leg. C: The hypotenuse is √2 times as long as either leg. D: Each leg is √2 times as long as the hypotenuse.
Answers
Answer:
C. The hypotenuse is [tex]\sqrt{2}[/tex] times as long as either leg.
Step-by-step explanation:
The hypotenuse is square root 2 times as long as the sides is a true statement.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
We have to find the true statement about an isosceles right triangle.
Let us use pythagoras theorem to find this
h²=a²+b²
In this case since its an isosceles right triangle, a and b most be the same.
Let's say that the measure of the sides that are equal is x and the hypotenuse is h.
Pythagoras tells us the following:
h²=x²+x²
h²=2x²
Take square root on both sides
h=√2x
Hence, the hypotenuse is square root 2 times as long as the sides
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if the pattern continued,what value of y would be associated with x=6? y=
Answers
Answer: the answer would be 24
Step-by-step explanation: just did the assignment
Answer:
24
Step-by-step explanation:
Just got it right on edge 2020
Lyla i am not cheating Guys please helps.
Answers
Answer:
C. 6√5
Step-by-step explanation:
√20 +√80= √4*5 + √16*5 = 2√5 + 4√5 = 6√5
Please answer this in two minutes
Answers
Answer:
[tex] csc (R) = \frac{13}{12} [/tex]
Step-by-step explanation:
Formula for any given angle (Ѳ) is given as csc Ѳ = length of hypotenuse side//length of opposite side. It is the inverse of sin Ѳ.
In the right triangle given above, the opposite length = 24, while the length of the hypotenuse = 26
Thus,
[tex] csc (R) = \frac{hypotenuse}{opposite} [/tex]
[tex] csc (R) = \frac{26}{24} [/tex]
[tex] csc (R) = \frac{26}{24} [/tex]
[tex] csc (R) = \frac{13}{12} [/tex]
What is 30% of 80? show two strategies for solving this problem
by both directly multiplying 0.3(80) AND setting up equivalent ratios and solving with cross products
30/100= x/80. You
must show all of your work!
Answers
Answer:
24
Step-by-step explanation:
30/100=x/80
cross multiply:
100x=2400
divide by 100:
x=24
Not quite sure how you want me to explain the other way step by step... Hope this helps!
80*.3=24
Todd bought a jet ski through a interwar free payment plan. The ski was $2000 and his payments were $250 each. What percent of the total cost are the payments?
Answers
Answer:
12.5%
Step-by-step explanation:
The price for the ski = $2000
The payments made each = $250
percentage of the total cost that the payment is = ?
The percentage will be calculated as
the ratio of the payments made to the price of ski times 100%
250/2000 x 100%
==> 0.125 x 100% = 12.5%
Prove that a rectangle has congruent diagonals. Be sure to create and name the appropriate geometric figures.
Answers
Answer:
The first way to prove that the diagonals of a rectangle are congruent is to show that triangle ABC is congruent to triangle DCB
Here is what is given: Rectangle ABCD
Here is what you need to prove: segment AC ≅ segment BD
Since ABCD is a rectangle, it is also a parallelogram.
Since ABCD is a parallelogram, segment AB ≅ segment DC because opposite sides of a parallelogram are congruent.
Please help i will mark brainliest
Answers
Answer:
See below.
Step-by-step explanation:
To find the equation, we need to find the slope and the y-intercept. Afterwards, we can put the numbers into the slope-intercept form:
[tex]y=mx+b[/tex]
From the graph, we can see that the line crosses the y-intercept at y=-6. Thus, the y-intercept (b) is -6.
Now we need to find the slope. Pick any two points where the line crosses. I'm going to pick (0,-6) and (4,-7).
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-7-(-6)}{4-0}= -1/4[/tex]
Therefore, the equation of the line would be:
[tex]y=mx+b\\y=-1/4x-6[/tex]
Determine the equation for the total cost of snow tubing, the rest of the chart:
8 . 20
10 . 25
PLEASE HELP ASAP!!! *grade 9 work* best answer gets brainliest :)
Answers
Step-by-step explanation:
Notice how you get the same value each time when you divide the cost by the number of downhill rides
5/2 = 2.5 10/4 = 2.5 15/6 = 2.5Moreover when the downhill rides grow by 2 the total cost grows by 5
so we can state :
n+2 ⇒c+50+2 ⇒ 0+5 0+6 ⇒0+ (3*3)To complet the chart we can use the proportionaliyu relation:
2⇒520⇒ Cc = [tex]\frac{20*5}{2}[/tex]= 50so 20 goes with 50
same method:
2⇒525⇒ C C = [tex]\frac{25*5}{2}[/tex] =62.5so 25 goes with 62.5
which real life object is an example of a parabolic arc? a. objects being thrown straight into the air b. floating clouds c. the way light is focused in a flashlight d. the way a processor works in a computer e. the angle of the roof on a house f. how light is bent in eye glasses g. the heat of pavement in the summer
Answers
Answer:
A, E, F, G
Step-by-step explanation:
The picture below represents a parabolic arc.
An example can be an object being thrown up in the air then then coming back down.
The figure above shows a right-angled triangle OAB. AOC is a minor sector enclosed in the triangle. If OA = 7 cm, AB = 6 cm, calculate the area and perimeter of the shaded region.
Answers
Answer:
La respuesta es 7+6 ó 6+7 que es 13