3 years ago

If the diameter of a circle is 12cm, what is the circumference of the circle?

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

5 0

Answer:

6cm

Step-by-step explanation:

bc diameter is 12cm the radius is 6 and the area is 36

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3 years ago

If tan theta = 10/13 and cos theta > 0 then sin2theta is what ?

svetoff [14.1K]

$sin2\alpha = \frac{260}{269}$

<u>Step-by-step explanation:</u>

We have , $Tan\alpha = \frac{Perpendicular}{Base} = \frac{10}{13}$ ,

We know that $sin\alpha = \frac{Perpendicular}{Hypotenuse} = \frac{Perpendicular}{\sqrt[2]{(Perpendicualr)^{2} + (Base)^{2})} }$

Substituting values of P & B , $sin\alpha = \frac{10}{\sqrt{10^{2} + 13^{2}} } = \frac{10}{\sqrt{269} }$

Now , $sin2\alpha = 2sin\alpha cos\alpha = 2sin\alpha \sqrt{1 - (sin\alpha)^{2} }$

⇒ $sin2\alpha =$ $\frac{10}{\sqrt{269} }$ × $\sqrt{1 - (\frac{10}{\sqrt{269} })^{2} }$ ×2

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⇒ $sin2\alpha = \frac{20}{\sqrt{269} }( \sqrt{\frac{169 }{269} } )$

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⇒ $sin2\alpha = \frac{260}{269}$

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3 years ago

Which of the following rates converts to a unit rate of $12.50 per hour?

Tems11 [23]

I think the answer would be (A.)

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3 years ago

What is the ratio for tan (C)? (Hint: SOHCAHTOA)

Sever21 [200]

Answer:

D. 3/4

Step-by-step explanation:

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$\frac{-1}{4} x^{2}$

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Step-by-step explanation:

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