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Aleonysh [2.5K]

3 years ago

7

Select whether the quotient for each fraction division expression is less than one or greater than/ equal to one.

1 answer:

docker41 [41]3 years ago

8 0

(Always be happy) ok.56

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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

⇒ $sin2\alpha = \frac{20}{\sqrt{269} }( \sqrt{\frac{269 - 100}{269} } )$

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

⇒ $sin2\alpha = \frac{260}{\sqrt{269} }( \sqrt{\frac{1}{269} } )$

⇒ $sin2\alpha = \frac{260}{269}$

6 0

3 years ago

Please help will give brainlist!

Yuki888 [10]

Answer:

$b=\frac{1}{6}$

Step-by-step explanation:

In $f(x)=a\cos(b(x-c))+d$ , $b$ represents a constant related to the period of the function. Here's how it's related:

$b=\frac{2\pi}{T}$ , where $T$ is the period of the function.

We're given $T=12\pi$ , so solving for $b$ :

$b=\frac{2\pi}{12\pi}=\boxed{\frac{1}{6}}$

4 0

3 years ago

20 pen cost $1.60 what is the unit rate

Blababa [14]

1.60/20 =0.08

0.08 per pen

3 0

3 years ago

Read 2 more answers

Help plz so close to being done

Natasha2012 [34]

Answer:

20 is the answer I got

8 0

3 years ago

Read 2 more answers

A woman takes 12 equal-sized steps. She walks a total of 10 yards

kiruha [24]

Answer:

Each step is 30 inches

Step-by-step explanation: One yard is 36 inches. 10 yards is 360 inches.

360 divided by 12 is 30.

3 0

3 years ago