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Afina-wow [57]
2 years ago
14

The ratio of the lengths of corresponding sides of similar triangles is 3/8. What is the ratio (smaller to larger) of the areas?

​
Mathematics
1 answer:
svlad2 [7]2 years ago
4 0

Answer:

  9/64

Step-by-step explanation:

For similar triangles, the ratio of areas is the square of the ratio of corresponding sides.

__

The ratio of areas is (3/8)² = 9/64.

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The slope of the line is -3. Use the coordinates of the labeled point to find the point-slope equation of the line.
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m =  \dfrac{Y_2 - Y_1}{X_2-X_1}

-3 =  \dfrac{y + 7}{x - 5}

y + 7= -3(x - 5)

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3 years ago
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elixir [45]

Answer:

160 in ^2

Step-by-step explanation:

First we need to find the area of each shape and add them together

1. Triangles:

The formula for a triangle is (base x height)/2, so we can replace them as (5 * 4)/2 * 2( Because there are two triangles), so therefore the two triangles will add up to 20 inches

2. The Rectangles

<u>The Big Rectangle:</u>

The big rectangle is just <em>l x w </em> or 5 * 20 which is 100

<u>The small rectangle:</u>

To find the width of the small rectangle you have to do 20 - (5 + 5) because we are not including the triangles. 20 - (5 +  5) = 10, so that would be 10 * 4 = 40.

3.Add them together

20 + 100 + 40 = 160 inches ^2

Hope this helps!!!

4 0
3 years ago
Need help failing math
faust18 [17]

Answer:

6,-9

Step by step explaination

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<em><u>use</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>formula</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>transform</u></em><em><u>ation</u></em><em><u> </u></em><em><u>by</u></em><em><u> </u></em><em><u>adding</u></em><em><u> </u></em><em><u>2</u></em><em><u> </u></em>

8 0
2 years ago
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Complete the inequality. 9% ___ 0.4
Alex73 [517]
9% is less than 0.4. 0.4 is really 4/10 which is 40% 40 is greater than 9 therefore 9% is less than 0.4! So your answer is 9%<0.4! I hope this helped!
3 0
3 years ago
Find the equation of a line that is perpendicular to 4x+6y=1 and that has a greater intercept to the line 2x+3y=18
enot [183]

Answer:

2y - 3x = -15

Step-by-step explanation:

Slope of the line 4x + 6y = 1 is as shown below;

Rewrite in slope intercept form;

6y = -4x+1

y = -4x/6 + 1/6

y = -2x/3 + 1/6

mx = -2/3x

m = -2/3

The slope of the line perpendicular M = -1/(-2/3)

M = 3/2

Get the x and y intercept of 2x+3y = 18

x intercept occurs when y  = 0

2x + 0 = 18

x= 18/2

x = 9

y intercept occurs when x  = 0

0 + 3y = 18

3y= 18

y = 18/3

y = 6

The line passes through the point (9,6)

Write the equation in point slope form

y - y0 = m(x-x0)

y - 6  = 3/2(x-9)

2(y-6) = 3(x-9)

2y - 12 = 3x - 27

2y - 3x = -27 + 12

2y - 3x = -15

This gives the required equation

8 0
3 years ago
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