Answer:
The actual sculpture is 20 feet.
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Step-by-step explanation:
![\frac{2 \: inches}{5 \: feet} = \frac{8 \: inches}{x} \\ \\ \frac{40}{2} = \frac{2x}{2} \\ \\ x = 20](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%20%5C%3A%20inches%7D%7B5%20%5C%3A%20feet%7D%20%20%3D%20%20%5Cfrac%7B8%20%5C%3A%20inches%7D%7Bx%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7B40%7D%7B2%7D%20%20%3D%20%20%5Cfrac%7B2x%7D%7B2%7D%20%20%5C%5C%20%20%5C%5C%20x%20%3D%2020)
Circumference = 2*pi*radius
find the radius using this formula.
then use this formula => area of circle = pi*radius*radius
put the value of the radius that you get with the first formula to find the area
hope it helps you
Answer:
Adjacent. x is 100.
Step-by-step explanation:
5+4/6
Result: 17/3
OR
5+1/2+1/6
5+4/6=17/3
Hope this helps!
Answer:
<em>x = 3</em>
Step-by-step explanation:
<u>Trigonometric Ratios</u>
The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of a right triangle is called the hypotenuse and the other two sides are the legs.
The tangent ratio relates the opposite leg with the adjacent leg. Please note the given side is the opposite leg to 60° and x is the adjacent leg to 60°, thus we apply the tangent ratio:
![\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Ctan%5Ctheta%3D%5Cfrac%7B%5Ctext%7Bopposite%20leg%7D%7D%7B%5Ctext%7Badjacent%20leg%7D%7D)
![\displaystyle \tan 60^\circ=\frac{3\sqrt{3}}{x}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Ctan%2060%5E%5Ccirc%3D%5Cfrac%7B3%5Csqrt%7B3%7D%7D%7Bx%7D)
Solving for x:
![\displaystyle x=\frac{3\sqrt{3}}{\tan 60^\circ}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Cfrac%7B3%5Csqrt%7B3%7D%7D%7B%5Ctan%2060%5E%5Ccirc%7D)
Since:
![\tan 60^\circ=\sqrt{3}:](https://tex.z-dn.net/?f=%5Ctan%2060%5E%5Ccirc%3D%5Csqrt%7B3%7D%3A)
![\displaystyle x=\frac{3\sqrt{3}}{\sqrt{3}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Cfrac%7B3%5Csqrt%7B3%7D%7D%7B%5Csqrt%7B3%7D%7D)
Simplifying:
x = 3