Answer:
C. 1 / (a(a - 1))
Step-by-step explanation:
View Image
Just know that:
n! = n(n-1)!
= n(n-1)(n-2)!
= n(n-1)(n-2)(n-3)!
= ...
Answer:
14.25 yd^2
Step-by-step explanation:
The triangle area is given by the formula ...
A = 1/2bh
Here, the base is 10 yd, and the height is 5 yd, so ...
triangle area = (1/2)(10 yd)(5 yd) = (5 yd)^2 = 25 yd^2
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The semicircle is half the area of a circle with radius 5 yd, so its area is ...
semicircle area = (1/2)π(5 yd)^2 = 12.5π yd^2 ≈ 39.25 yd^2
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The shaded region is the difference between these areas:
shaded area = 39.25 yd^2 -25 yd^2 = 14.25 yd^2
So this is a special triangle. The 30-60-90 triangle rule states that if the short leg is y, then the hypotenuse is 2y and the long leg is y√3.
In this case, the short leg is 5√3 since that times √3 makes 15.
Now with the hypotenuse, just multiply 5√3 with 2, and your answer should be 10√3, or C.
Answer:
96ft
Step-by-step explanation:
length=x+2
width=x
x+2*x=288
3x=288
x=96