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kow [346]
4 years ago
15

If the shadow of a tree is 7 m long and the shadow of a person who is 0.9 m tall is 2 m long, how tall is the tree?

Mathematics
2 answers:
NikAS [45]4 years ago
7 0

Answer:

The tree is 3.15 meters tall

Step-by-step explanation:

If the shadow of a tree is 7 m long and the shadow of a person who is 0.9 m tall is 2 m long.

The ratio of height of a person to the shadow is 0.9 / 2

Let x be the height of the tree

We need to make a proportion

height of a person/ shadow = height of the tree / shadow

\frac{0.9}{2} =\frac{x}{7}

Cross multiply the numbers

7 * 0.9 = 2x

6.3 = 2x

Divide by 2 on both sides

x= 3.15

The tree is 3.15 meters tall

Assoli18 [71]4 years ago
4 0
The tree is 3.15m tall.
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Cube 1: 3375 cubed inches, 1350 inches squared.

Cube 2: 512 cubed inches, 384 inches squared.

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Formula for Volume of a Cube:  V=s^3\\ (s - side length)

Formula for Surface Area of a Cube: SA=6s^2 (s- side length)

<h3>For Cube 1:</h3>

The side length's 15 inches.

Find the volume:

V=15^3\\\rightarrow 15*15*15=3375\\\boxed {V=3375}

The volume of cube one is 3375in³.

Find the surface area:

SA=6(15)^2\\\rightarrow 15^2 = 225\\SA = 6 * 225\\\boxed {SA=1350}

The surface area of cube 1 is 1350in².

<h3>For Cube 2:</h3>

The side length's 8 inches.

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V=8^3\\\rightarrow 8*8*8= 512\\\boxed {V=512}

The volume of cube two is 512in³.

Find the surface area:

SA=6(8)^2\\\rightarrow 8^2=64\\SA=6*64\\\boxed {SA=384}

The surface area of cube 2 is 384in².

<em>Brainilest Appreciated. </em>

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