2 years ago

How much of the circle is shaded? Write your answer as a fraction in simplest form

Mathematics

1 answer:

Valentin [98]2 years ago

8 0

Answer:

11/20

Step-by-step explanation:

Finding the common denominator, which is 20, we convert 1/5 into 4/20 and 1/4 into 5/20. Adding those up, the remainder when subtracted from 1, the total, is 11/20.

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Find tan(450-a), If <br><img src="https://tex.z-dn.net/?f=%20%5Ctan%28a%29%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20" id="TexFormula1"

Inessa05 [86]

Answer:

$tan(450-a)=5\sqrt{3}-8$

Step-by-step explanation:

We know that:

$tan(a-b)=\frac{tan(a)-tan(b)}{1+tan(a)tan(b)}$

$tan(450-a)=\frac{tan(450)-tan(a)}{1+tan(450)tan(a)}$

Remember:

450°=360°+60°

and:

$tan(a)=\frac{1}{2}$

Thus:

$tan(450-a)=\frac{tan(60)-tan(a)}{1+tan(60)tan(a)}\\\\$

Then:

$tan(450-a)=5\sqrt{3}-8$

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2 years ago

What is the center and radius of the circle with equation x2 + y2 - 4x + 22y + 61 = 0?

lesantik [10]

Hello,

$x^2+y^2-4x+22y+61=0\\\\
(x^2-4x+4) +(y^2+22y+121)-121-4+61=0\\\\
(x-2)^2+(y+11)^2=64


$

Center is (2,-11) and radius is 8

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3 years ago

The top of a rectangular table has an area of 100 square feet and width of 5 feet. What is the length in feet of the surface

pochemuha

The answer to this is 20. You can find the length by using the formula l=a/w

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