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3 years ago

Test picture below Amos if you'll just help me the hell out kamronice

Mathematics

1 answer:

WARRIOR [948]3 years ago

8 0

Answer:

C) 1/-3

Step-by-step explanation:

I think (if not then 1/3)

Hope this helps

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Yuma needs a singer. Singer A is offering her services for an initial $75 in addition to $35 per hour. Singer B is offering his

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5 hours

Step-by-step explantioon:

35x+75=20x+150

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15x=75

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3 years ago

Phillip wanted to leave a 15% tip. He thought to himself that 15% = 10% plus half of 10%. Which of the following equations will

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3 years ago

Read 2 more answers

Tell whether the angles are complementary or supplementary. Then find the value of x.

Margaret [11]

Answer: Complementary angles. x = 60

How I got it.

x - 30 + x = 90

then solve for x

Hope this helps!

5 0

3 years ago

What is the solution f/4 = 12/5

Ede4ka [16]

Answer:

f = 48/5

Step-by-step explanation:

5f = 12 * 4

5f = 48

f = 48/5

7 0

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:

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

To maximize the area, we derive and equal to zero:

$\dfrac{dA}{da}=6-2\left(\dfrac{1}{2}+\dfrac{\pi}{8}\right )a=0\\\\\\6-(1-\pi/4)a=0\\\\a=\dfrac{6}{(1+\pi/4)}\approx6/1.78\approx 3.36$

Then, b is:

$b=6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a\\\\\\b=6-0.393*3.36=6-1.32\\\\b=4.68$

3 0

3 years ago

Test picture below Amos if you'll just help me the hell out kamronice​

Test picture below Amos if you'll just help me the hell out kamronice