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3 years ago

The workers leave the lights on in the break room for stretches of about 3 hours.

Mathematics

1 answer:

Pie3 years ago

4 0

Answer:

Halogen

Step-by-step explanation:

Halogen is a little more efficent but not as efficient as LED lighting.

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3 years ago

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Find the volume of the sphere.

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Step-by-step explanation:

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3 years ago

A lion paced up and down the ridge 10 times. The ridge is 5 ft. 3 in. long. How far did the lion travel? (12 in.=1 ft.)

Setler79 [48]

Answer:

105 ft.

Step-by-step explanation:

5 x 12 = 60

So 5 feet is 60 inches.

60 + 3 = 63

That makes the ridge 63 inches long.

When the lion went up the ridge, it traveled 63 inches.

When the lion went back down the ridge, it traveled another 63 inches, totaling 126 inches.

The lion did this 10 times.

126 x 10 = 1260

Divide 1260 by 12 to find the measurement in feet.

1260 ÷ 12 = 105

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3 years ago

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3 years ago

a circle is inscribed in a square. the circumference of the circle is increading at a constant rate of 6 inches per second. As t

Burka [1]

Answer:

The rate at which Perimeter of the square is increasing is $\frac{24}{\pi} \ in/secs$ .

Step-by-step explanation:

Given:

Circumference of the circle = $2\pi r$

Rate of change of in circumference = 6 in/secs

We need to find the rate at which the perimeter of the square is increasing

Solution:

Now we know that;

$\frac{d(2\pi r)}{dt} =6\\\\2\pi\frac{dr}{dt}=6\\\\\frac{dr}{dt}=\frac{6}{2\pi}\\\\\frac{dr}{dt}=\frac{3}{\pi}$

Now we know that;

side of the square= diameter of the circle

side of the square = $2r$

Now Perimeter of the square is given by 4 times length of the side.

$P=4\times 2r =8r$

Now we need to find the rate at which Perimeter is increasing so we will find the derivative of perimeter.

$\frac{dP}{dt}= \frac{d(8r)}{dt}\\\\\frac{dP}{dt}= 8\times\frac{dr}{dt}$

But $\frac{dr}{dt} =\frac{3}{\pi}$

So we get;

$\frac{dP}{dt}= 8\times\frac{3}{\pi}\\\\\frac{dP}{dt}= \frac{24}{\pi}\ in/sec$

Hence The rate at which Perimeter of the square is increasing is $\frac{24}{\pi} \ in/secs$ .

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4 years ago