2 years ago

How tall with this building be ?

Mathematics

1 answer:

Nastasia [14]2 years ago

3 0

Since the scale factor is 15 you do 15x7 so the building is 105 feet

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The sun shines at a 30° angle to the ground. To the nearest inch, how long is the shadow cast by a 72-in. tall fence post?

tensa zangetsu [6.8K]

The length of the shadow is 124.7 in

Explanation:

Given:

Angle, θ = 30°

Height of the fence, h = 72 in

Length of the shadow, l = ?

Given:

tan 30° = $\frac{perpendicular}{base} = \frac{height of the fence}{length of the shadow}$

$\frac{1}{\sqrt{3} } = \frac{72}{l} \\\\l = 72\sqrt{3} \\\\l = 124.7 in$

Therefore, the length of the shadow is 124.7 in

5 0

2 years ago

What curve passes through the point (1 ,2) and has an arc length on the interval [2,6] given by Integral from 2 to 6 StartRo

Georgia [21]

Answer:

Step-by-step explanation:

Given

Length of curve

$L=\int_{2}^{6}\sqrt{1+64x^{-6}}dx$

Length of curve is given by

$L=\int_{a}^{b}\sqrt{1+\left ( \frac{\mathrm{d} y}{\mathrm{d} x}\right )^2}dx$ over interval a to b

comparing two we get

$\frac{\mathrm{d} y}{\mathrm{d} x}=8x^{-3}$

$dy=8x^{-3}dx$

integrating

$\int dy=\int 8x^{-3}dx$

$y=-4x^{-2}+C$

Curve Passes through (1,2)

$1=-4+C$

$C=5$

curve is

$y+\frac{4}{x^2}=5$

3 0

2 years ago

What is the sum of the negative integers greater than -5

uranmaximum [27]

-10= ( -4)+(-3)+(-2)+(-1)

7 0

2 years ago

1 cup is equal to 8 fluid ounces. How many fluid ounces are in 3 cups, 3 fluid ounces?

Gnesinka [82]

Answer:

If one cup is 8 then 3 cups is 24

Step-by-step explanation:

This can be solved by multiplying:

1*8=8

3*8=24

4 0

2 years ago

Hello, please help thank youu!!

uranmaximum [27]

Answer:

36 $\frac{1}{2}$

Step-by-step explanation:

(5 $\frac{1}{2}$ x 3) + (10 ÷ $\frac{1}{2}$ )

(16 $\frac{1}{2}$ ) + (10 ÷ $\frac{1}{2}$ )

(16 $\frac{1}{2}$ ) + (20)

36 $\frac{1}{2}$

7 0

2 years ago

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