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3 years ago

Can someone help me please

Mathematics

1 answer:

balu736 [363]3 years ago

5 0

Answer:

352 ft³
1.98 m³
706.9 in³

Step-by-step explanation:

Use the appropriate volume formula, and fill in the given values.

Rectangular prism

V = LWH

V = (8 ft)(11 ft)(4 ft) = 352 ft³

Right triangular prism

V = 1/2(LWH)

V = 1/2(11 m)(9 m)(0.04 m) = 1.98 m³

Cylinder

V = πr²h

V = π(5 in)²(9 in) = 225π in³ ≈ 706.9 in³

_____

Additional comment

We're a little surprised to see the triangular prism has a dimension of 4 cm when the other dimensions are given in meters. 1 cm = 0.01 m.

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3 years ago

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3 years ago

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3 years ago

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3 years ago

At 3pm, the length of the shadow of a thin vertical pole standing on level ground is the same as the height of the pole. A while

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Answer: The height of the pole is 175.97 ( approx )

Step-by-step explanation:

Let the height of the pole is x cm,

Also, let the angle of elevation of the sun to the pole at 3 pm is $\theta$

Thus, by the question,

$tan\theta = \frac{\text{ The height of the pole}}{\text{ The height of the shadow}}$

$\implies tan\theta = \frac{x}{x}$ ( at 3pm the height of shadow = height of the pole)

$\implies tan\theta = 1$

$\implies \theta = 45^{\circ}$

Again, according to the question,

When the angle of elevation is $(\theta - 12^{\circ})$ ,

The height of shadow = x + 95,

$\implies tan(45-12)^{\circ}=\frac{x}{x+95}$

$\implies tan 33^{\circ}=\frac{x}{x+95}$

$\implies tan 33^{\circ}x + 95\times tan33^{\circ}=x$

$\implies tan 33^{\circ}x - x = - 95\times tan33^{\circ}$

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$x=175.969930202\approx 175.97\text{ cm}$

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3 years ago

Can someone help me please​

Can someone help me please