Answer: 12.20 feet.
Step-by-step explanation:
Observe in the figure attached that a right triangle is formed.
Then, you need to remember the identity:

In this case you can identify that:


Then, to find the length of the wooden board (x), you need to substitute values and solve for x.
Therefore, you get:

The length of the wooden board is: 12.20 feet.
Picture so I am able to solve problem please
Answer:
(x,y) = -1/2 , 3/2
Step-by-step explanation:
Let y = x +2 ----- (1)
y = -3x ------ (2)
Put equal both sides x +2 = -3x
x = -3x -2
x +3x = -2
4x = -2
x = -1/2 Put it in 2nd equation
Y = -3 (-1/2)
y = 3/2
so (x,y) = -1/2 , 3/2
Hope you got it.
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Answer:
Area of circle R = 75π un² or ≈235.5 un²
Step-by-step explanation:
The problem says that m∠TRS = 120º. The total number of degrees in a circle is 360º. 120º is a third of 360º. Therefore, we can prove that the shaded sector is a third of the circle.
The problem then says that the area of the shaded sector is 25π and we have to calculate the area of the entire circle. Since we already know that the shaded sector is a third of the circle, we can simply multiply 25π by 3 in order to calculate the area of t he entire circle.
25π × 3 = 75π.
Area of circle R = 75π un² or ≈235.5 un²