Answer:
226pi
Step-by-step explanation:
2 * pi * 7 *(7+12)
The answer is B, $10,000 is given and is not a variable that can be changed, since there are 150 band students raising money it would be 150x, and the 30,000 is the goal of the fundraiser
Answer:Since the volume of a cylinder formula involves the radius, you can solve for the radius and double it to find the diameter.
Write the formula. Volume=π⋅radius2⋅height.
Substitute the dimensions of the shape into the formula. Use 3.14 as the value for π. 791.28=3.14⋅r2⋅28.
Solve the equation for the variable.
Step-by-step explanation:
2.) dT/dt = -t^2 + 3t
dT = (-t^2 + 3t)dt
T = -t^3/3 + 3t^2/2 + C
at 4:00 AM
80 = -4^3/3 + 3*4^2/2 + C
C = 80 + 4^3/3 - 3*4^2/2
C = 77.33
T = -t^3/3 + 3t^2/2 + 77.33
at 8:00 AM
T = -8^3/3 + 3*8^2/2 + 77.33
T = 2.67 deg
Let's call L the width of the rectangle and W its width. The area of the rectangle is the product between the length and the width, and we are also told that the area is 300 square meters, so we can write

Moreover, we know that the length is 5 meters longer than the width:

We have a system of 2 equations in 2 unknown variables, L and W. If we substitute the second equation into the first one, we get


which has two solutions: W=-20 and W=15. We can discard the negative solution since it does not have physical meaning, and now we can substitute the value of W into the second equation to find L:

<span>Therefore, the rectangle has width 15 meters and length 20 meters.</span>