
<u>Step-by-step explanation:</u>
We have ,
,
We know that ![sin\alpha = \frac{Perpendicular}{Hypotenuse} = \frac{Perpendicular}{\sqrt[2]{(Perpendicualr)^{2} + (Base)^{2})} }](https://tex.z-dn.net/?f=sin%5Calpha%20%20%3D%20%5Cfrac%7BPerpendicular%7D%7BHypotenuse%7D%20%3D%20%5Cfrac%7BPerpendicular%7D%7B%5Csqrt%5B2%5D%7B%28Perpendicualr%29%5E%7B2%7D%20%2B%20%28Base%29%5E%7B2%7D%29%7D%20%7D)
Substituting values of P & B , 
Now , 
⇒
×
×2
⇒ 
⇒
⇒
⇒
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!!
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
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We have to prove that the tangent is an odd function.
If the tangent is an odd function, the following condition should be satisfied:

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):

We have arrived to the condition for odd functions, so we have just proved that the tangent function is an odd function.
Answer:
She will deposit $17.
Step-by-step explanation:
So this is really simple.
20% of $85= 0.20•85= 17=$17