Answer:
- cylinder — 90π in³
- pyramid — 37 1/3 in³
- cone — 12.5π in³
Step-by-step explanation:
The volume of a cylinder is given by ...
V = Bh . . . . . where B is the base area and h is the height
The volume of a pyramid or cone is given by ...
V = (1/3)Bh . . . . . where B is the base area and h is the height
The area of a square of side length s is ...
A = s²
The area of a circle of radius r is ...
A = πr²
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Using these formulas, the volumes of these objects are ...
cylinder: (9π in²)(10 in) = 90π in³
square pyramid: (1/3)(4 in)²(7 in) = 37 1/3 in³
cone: (1/3)(π(2.5 in)²)(6 in) = 12.5π in³ . . . . slightly larger than the pyramid
Answer:
"changes the period to pi"
Step-by-step explanation:
f(t) = Sin(t),
Here, t is the period, by definition.
Multiply t by a number that is GREATER THAN 1, makes the period shorter and compressed.
Multiplying t by a number that is between 0 and 1 makes the period expanded.
For the first, if we multiply the period by a, the period becomes 
Since the problem tells us to multiply by 2, we know the period becomes compressed and becomes :

Third answer choice is right.
76 degrees. Angle y is supplementary to angle “2x+20”.
I hope this helps you
Area=length.width
343=l.w
7.7.7=l.w
l=49
w=7
Perimeter=2 (49+7)
Perimeter=2.56
Perimeter=112
Answer:
![r= [(\frac{A}{2500}) ^\frac{1}{2} -1]](https://tex.z-dn.net/?f=r%3D%20%5B%28%5Cfrac%7BA%7D%7B2500%7D%29%20%5E%5Cfrac%7B1%7D%7B2%7D%20-1%5D)
Step-by-step explanation:
Given data
Principal = $2500
time t= 2 years
Required
the rate r
Given the expression for the balance 2500(1+r)^2
Hence

we can make r subject of formula
![r= [(\frac{A}{P}) ^\frac{1}{t} -1]](https://tex.z-dn.net/?f=r%3D%20%5B%28%5Cfrac%7BA%7D%7BP%7D%29%20%5E%5Cfrac%7B1%7D%7Bt%7D%20-1%5D)
![r= [(\frac{A}{2500}) ^\frac{1}{2} -1]](https://tex.z-dn.net/?f=r%3D%20%5B%28%5Cfrac%7BA%7D%7B2500%7D%29%20%5E%5Cfrac%7B1%7D%7B2%7D%20-1%5D)
Hence, for any value of A, we can find the rate using the expression above