Short answer: r = 8
Remark
The easiest way to do this is to solve the sphere's volume in terms of pi. When you do this, you can equate that to the formula for a cylinder and cancel the pi values.
Step One
Find the volume of the sphere.
<em>Givens</em>
r = 6 cm
<em>Formula</em>
V = (4/3) pi r^3
<em>Sub and Solve</em>
V = 4/3 pi * 6^3
V = 288 * pi
Step two
Find the radius of the cylinder
<em>Givens</em>
V = 288* pi cm^3
h = 4.5 cm
<em>Formula</em>
V = pi r^h
<em>Sub and solve</em>
288 pi cm^3 = pi r^2 * 4.5 Divide both sides by pi
288 cm^3 = 4.5 r^2 Divide both sides by 4.5
388 / 4.5 = r^2
64 = r^2 Take the square root of both sides.
r = square root( 64)
r = 8 <<<<< Answer
Hello!
In trigonometric functions, the amplitude of a trigonometric function is the maximum displacement on the graph of that function. In the case of the sine and cosine functions, this value is the leading coefficient of the function.
If y = A sin x, then the amplitude is |A|.
Amplitude is like the height of a trigonometric function. And in this case, the amplitude of this function 3, and the height is 3.
Therefore, the maximum value is positive 3, and the minimum value is negative 3, so the function that has a maximum y-value of 3 is choice A, y = 3sin(x).
If you would like to solve the system of equations, you can do this using the following steps:
2x + 3y = 40
-2x + 2y = 20
____________
2x + 3y - 2x + 2y = 40 + 20
5y = 60 /5
y = 60/5
y = 12
<span>2x + 3y = 40
</span>2x + 3 * 12 = 40
2x + 36 = 40
2x = 40 - 36
2x = 4
x = 4/2
x = 2
(x, y) = (2, 12)
The correct result would be <span>d. x = 2, y = 12.</span>
1. 3(x+2)
3(3+2)
9+6
=15
2. 3x+2
3(3)+2
9+2
=11
3. they are not equivalent expressions because one equals 15 and one equals 11.
Answer:
990 ft
Step-by-step explanation:
first we covert 1/2 into a decimal which 0.5, then we multiply 0.5 by 11, which equals 5.5. Then we multiply 5.5x15, which equals 82.5. Then we multiply it by 12. 82.5x12= 990 ft