Answer:
Surface Area: 1008π OR 3166.73
Volume: 4320π OR 13,571.68
Step-by-step explanation:
Surface Area Equation:
2πrh+2πr^2
Work:
2π (12) (30) + 2π12^2
2π(360) + 2π(144)
720π + 288π
1008π OR 3166.73
Volume Equation:
πr^2h
Work:
π12^2 (30)
π144 (30)
4320π OR 13,571.68
Answer:
2094.4yds cubed
Step-by-step explanation:
V=pi*r^2*h/3
V=pi*100*20/3
V≈2094.4
The answer is A) 45°. This is because angles 1 and 5 are vertical angles. Vertical angles are congruent.
Answer:
2np + p²
Step-by-step explanation:
The general formula for the area of a square is A = s², where s = the length of one side of the square. In the case of the smaller square the area would be: n x n = n². Since the side of the larger square is 'p' inches longer, the length of one side is 'n + p'. To find the area of the larger square, we have to take the length x length or (n +p)².
Using FOIL (forward, outside, inside, last):
(n + p)(n+p) = n² + 2np + p²
Since the area of the first triangle is n², we can subtract this amount from the area of the larger square to find out how many square inches greater the larger square area is.
n² + 2np + p² - n² = 2np + p²
