The temperature at noon at a ski resort is 3°F. The temperature drops 8°F by midnight.

Mathematics

1 answer:

zhuklara [117]2 years ago

6 0

Answer:

The answer is negative 5 degrees.

Step-by-step explanation:

You just have to subtract 3 by 8.

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A copy machine makes 24 copies per minute. How long does it take to make 90 copies?

quester [9]

that would be 3 minutes and 45 seconds (:

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2 years ago

What is -5/12 - 4/14 + 6/34

andrew11 [14]

Answer:

4 1/2

Step-by-step explanation:

Look at this expression as given in the original problem; the numbers, properly typewritten, are -5 1/2, - 4 1/4, + 6 3/4.

We want to combine these three numbers into one.

To do this, we need the LCD; it is 4.

Thus, -5 1/2 is rewritten as -5 2/4.

Then we have

-5 2/4 - 4 1/4 + 6 3/4 = -5 -4 + 6 + 2/4 + 1/4 + 3/4.

This simplifies to: +3 + 6/4, or 3 + 1 + 2/4, or

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3 years ago

A Norman window is a window with a semi-circle on top of regular rectangular window. (See the picture.) What should be the dimen

Vikki [24]

Answer:

bottom side (a) = 3.36 ft

lateral side (b) = 4.68 ft

Step-by-step explanation:

We have to maximize the area of the window, subject to a constraint in the perimeter of the window.

If we defined a as the bottom side, and b as the lateral side, we have the area defined as:

$A=A_r+A_c/2=a\cdot b+\dfrac{\pi r^2}{2}=ab+\dfrac{\pi}{2}\left (\dfrac{a}{2}\right)^2=ab+\dfrac{\pi a^2}{8}$

The restriction is that the perimeter have to be 12 ft at most:

$P=(a+2b)+\dfrac{\pi a}{2}=2b+a+(\dfrac{\pi}{2}) a=2b+(1+\dfrac{\pi}{2})a=12$

We can express b in function of a as:

$2b+(1+\dfrac{\pi}{2})a=12\\\\\\2b=12-(1+\dfrac{\pi}{2})a\\\\\\b=6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a$

Then, the area become:

$A=ab+\dfrac{\pi a^2}{8}=a(6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a)+\dfrac{\pi a^2}{8}\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a^2+\dfrac{\pi a^2}{8}\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{4}-\dfrac{\pi}{8}\right)a^2\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{8}\right)a^2$