2 years ago

Ann made a scale drawing of a theater. The scale she used was 1 inch : 7 feet. The stage is

Mathematics

1 answer:

hjlf2 years ago

4 0

Answer:

4 in

Step-by-step explanation:

<u>Use ratios and solve:</u>

1 in ÷ 7 ft = x in ÷ 28 ft
x = 28/7 in
x = 4 in

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Answer:

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Step-by-step explanation:

y-y1=m(x-x1)

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$\sf 3.5m$

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3 years ago

A variety pack of snacks contains 4 pretzel bags, 3 popcorn bags and 3 cheddar cracker bags. What is the probability that someon

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Answer:

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2 years ago

Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 450 newtons stretches a sprin

vlada-n [284]

Answer:

The work done is 202.50Nm

Step-by-step explanation:

Given

$F =450N$

$x_1 = 30cm$

$x_2 = 60cm$

Required

The work done

First, we calculate the spring constant (k)

$F = kx_1$

$450N = k *30cm$

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So:

$F = kx_1$

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$W =\int\limits^a_b {F(x)} \, dx$

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$W =\int\limits^{60}_{30} {15x} \, dx$

Rewrite as:

$W =15\int\limits^{60}_{30} {x} \, dx$

Integrate

$W =15 \frac{x^2}{2}|\limits^{60}_{30}$

This gives:

$W =15 *\frac{60^2 - 30^2}{2}$

$W =15 *\frac{2700}{2}$

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