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4 years ago

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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1.A cube has side lengths of 15 inches, what is the surface area and volume of the cube? 2. A cube has side lengths of 8 inches,

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Cube 1: 3375 cubed inches, 1350 inches squared.

Cube 2: 512 cubed inches, 384 inches squared.

Step-by-step explanation:

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)

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.

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

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

The volume of cube two is 512in³.

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<em>Brainilest Appreciated. </em>

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