In this case, we must use trigonometry to find the value of x:
![tan(\alpha )=\frac{side-opposite-angle}{side-beside-angle} \\tan(70) = \frac{x}{3} \\3*tan(70) = x\\x = 3*tan(70)\\x = 8.24](https://tex.z-dn.net/?f=tan%28%5Calpha%20%29%3D%5Cfrac%7Bside-opposite-angle%7D%7Bside-beside-angle%7D%20%5C%5Ctan%2870%29%20%3D%20%5Cfrac%7Bx%7D%7B3%7D%20%5C%5C3%2Atan%2870%29%20%3D%20x%5C%5Cx%20%3D%203%2Atan%2870%29%5C%5Cx%20%3D%208.24)
Thus the value of x rounded to the nearest tenth is <u>8.2</u>
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Hope that helps!
Answer:
145 yards squared
Step-by-step explanation:
So the area of the base is area of a square with side length of 5 yards ![5*5=25](https://tex.z-dn.net/?f=5%2A5%3D25)
The area of one triangular face base times height divided by two and then simply multiplied by 4 because there are 4 triangular faces.
![(\frac{5*12}{2} )*4 = 120](https://tex.z-dn.net/?f=%28%5Cfrac%7B5%2A12%7D%7B2%7D%20%29%2A4%20%3D%20120)
So the total surface area is
yards squared
There are 12 face cards in a deck, and one you draw the first face card there will be 11 left so:
(12/52)*(11/51)=132/2652=11/221
Answer:
7,854cm^2
Step-by-step explanation:
π50²=2500π
2500π=7853.98