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faltersainse [42]
3 years ago
9

10 points please answer thx

Mathematics
1 answer:
Ann [662]3 years ago
5 0

Answer:

B

Step-by-step explanation:

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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
The sum of three consecutive odd numbers is 81. Find the numbers.
zimovet [89]

Answer:

The 3 odd, consecutive numbers are 25, 27, and 29.

Step-by-step explanation:

When you add these 3 numbers you will get 81.

25 + 27 = 52

52 + 29 = 81

Therefore, 25 + 27 + 29 = 81

Hope this helps!!

6 0
3 years ago
Read 2 more answers
Please look at picture and help
White raven [17]

The area of the polygon with the given vertices is of 7.5 square units.

<h3>What is the area of a right triangle?</h3>

The area of a right triangle is given by half the multiplication of the lengths of it's sides.

The polygon in this problem is a right triangle with sides 3 and 5, hence the area is given by:

A = 0.5 x 3 x 5 = 7.5 square units.

More can be learned about the area of a right triangle at brainly.com/question/17335144

#SPJ1

5 0
2 years ago
Show that tangent is an odd function.Use the figure in your proof.
svlad2 [7]

We have to prove that the tangent is an odd function.

If the tangent is an odd function, the following condition should be satisfied:

\tan(t)=-\tan(-t)

From the figure we can see that the tangent can be expressed as:

We can start then from tan(t) and will try to arrive to -tan(-t):

\begin{gathered} \tan(t)=\frac{\sin(t)}{cos(t)}=\frac{y}{x} \\ \tan(t)=\frac{-(-y)}{x}=\frac{-\sin(-t)}{\cos(-t)} \\ \tan(t)=-\frac{\sin(-t)}{\cos(-t)} \\ \tan(t)=-\tan(-t) \end{gathered}

We have arrived to the condition for odd functions, so we have just proved that the tangent function is an odd function.

7 0
1 year ago
Eleanor deposits 20% of the money that she earns each week in a savings account. If Eleanor earns $85 each week, how much money
RoseWind [281]

Answer:

She will deposit $17.

Step-by-step explanation:

So this is really simple.

20% of $85= 0.20•85= 17=$17

5 0
3 years ago
Read 2 more answers
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