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3 years ago

Which angle is not coterminal with 421°

Mathematics

1 answer:

Ainat [17]3 years ago

4 0

-119 degrees is the answer

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9x - 5 = 2x + 8<br><br><br> PLSSSS Help. Algebra 1

drek231 [11]

Step-by-step explanation:

9x - 2x = 8 + 5

7x = 13

x =13÷7

x = 1.8571

approximately = 1.86

I think this is it

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3 years ago

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Can you please help

Xelga [282]

Answer:

Step-by-step explanation:

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3 years ago

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Nadya [2.5K]

its like 17 or 7 each

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3 years ago

A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of t

Makovka662 [10]

Answer:

132.233 ft2

Step-by-step explanation:

Let's call the width of the rectangle 'w' and the length 'x'. So the area of the semicircle is:

$A_1 = \pi*radius^2/2$

$A_1 = \pi*(w/2)^2/2$

$A_1 = \pi/8*w^2$

And the area of the rectangle is:

$A_2 = w*x$

If the perimeter of the window is 41 feet, we have:

$Perimeter = length + 2*width + \pi*radius$

$41 = x + 2*w + \pi*w/2$

$x = 41 - w(2 + \pi/2)$

Now, the equation for the total area of the window is:

$A = A_1 + A_2 = \pi/8*w^2 + w*x$

$A = \pi/8*w^2 + w*(41 - w(2 + \pi/2))$

$A = (\pi/8-2 - \pi/2)*w^2 + 41w = -3.1781w^2 + 41w$

To find the maximum area, we can find the x-coordinate of the vertex of the quadratic equation:

$x\_vertex = -b / 2a = -41 / (-3.1781*2) = 6.45$

So the width that gives us the maximum area of the window is 6.45 feet, and the area will be:

$A = -3.1781w^2 + 41w = -3.1781*(6.45)^2 + 41*6.45 = 132.233\ ft^2$

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3 years ago

Which fraction is equivalent to 1/2? Use the number line to help answer the question

myrzilka [38]

Answer:

4/8

Step-by-step explanation:

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3 years ago