Answer:
Divide the volume by the length of the prism to get the area of the face:
468/13 = 36 square yards.
The area of the face ( triangle) is 1/2 x base x height
Replace with what you have:
36 = 1/2 x 9 x g
Multiply both sides by 2 to remove the 1/2:
72 = 9 x g
Divide both sides by 9 to find g:
g = 72 /9
g = 8 yards.
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Answer:
A. 23.
Step-by-step explanation:
Given:
5 + 2(x + 7)² for x = -4
Substitute in -4 for x in the equation:
5 + 2((-4) + 7)²
5 + 2(3)²
5 + 2(9)
5 + 18 = 23.
Therefore, the correct answer is A. 23.
Answer:
tan(Sin^-1 x/2)= 
Step-by-step explanation:
Let sin^-1 x/2= θ
then sinθ= x/2
on the basis of unit circle, we have a triangle with hypotenuse of length 1, one side of length x/2 and opposite angle of θ.
tan(Sin^-1 x/2) = tanθ
tanθ= sinθ/cosθ
as per trigonometric identities cosθ= √(1-sin^2θ)
tanθ= sinθ/ √(1-sin^2θ)
substituting the value sinθ=x/2 in the above equation
tanθ= 
now substituting the value sin^-1 x/2= θ in above equation
tan(sin^-1 x/2) = 
!