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Anit [1.1K]
2 years ago
8

A 8 ft tall cardboard box standing next to a man casts a 20 ft shadow. If the man casts a shadow that is 15 ft long, then how ta

ll is he?​
Mathematics
1 answer:
Nataliya [291]2 years ago
7 0

Answer:

The answer is that he would be 27 ft tall

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5m / 2

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How many times bigger is 3.45×10⁹ than 0.5×10⁴
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.Solve the following equations, leaving your answer as a fraction where appropriate: 10(2x + 12) = -7(x + 12) ​
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8 0
2 years ago
Find the ratio of the area of triangle XBY to the area of triangle ABC for the given measurements, if BY = 3, YC = 2
Mazyrski [523]

Answer:

The ratio of the area of triangle XBY to the area of triangle ABC is \frac{9}{25}

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor and the ratio of its areas is equal to the scale factor squared

In this problem

Triangles XBY and ABC are similar, because the corresponding internal angles are congruent

see the attached figure to better understand the problem

step 1

Find the scale factor

Let

z-------> the scale factor

z=\frac{BY}{BC}

we have

BY=3\ units

BC=2+3=5\ units

substitute

z=\frac{3}{5}

step 2

Find the ratio of the area of triangle XBY to the area of triangle ABC

Remember that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

we have

z=\frac{3}{5} -----> scale factor

so

z^{2} =(\frac{3}{5})^{2} =\frac{9}{25}


5 0
3 years ago
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