Answer:
1/3y(y + 12) - 12.
Pretty sure it's 1/3y(y + 12) - 12. I'm pretty sure I got it wrong tho.
Answer:
750 ft^3
Step-by-step explanation:
Given that the cones are similar, the first step would be to determine their linear scale factor; That is the ratio of their radii;
The next step is to determine the volume scale factors. Since the linear scale factor is 2.5, the volume scale factor would be;
volume scale factor = (linear scale factor)^3
= 2.5^3 = 125/8
The volume of Cone B will thus be;
volume of Cone A * volume scale factor = 48 * 125/8 = 750 ft^3
Answer: B
If you multiply equation 1 by -5 you get: -10x-y=3.
If you multiply equation 2 by 2 you get: 10x+4y=14
Add the systems together to eliminate x.
The total number of seats in this movie theater is 4224. This is calculated using the sum of an arithmetic series formula.
The question describes an arithmetic sequence where each row in the theater has four more seats than the previous row. The first row has 20 seats and the last row (44th row) has seats. The total number of seats in this theater is therefore the sum of an arithmetic series formula, which is given by:
Where:
So for the number of seats, we have:
So, the total number of seats in the theater is 4224.
#SPJ3
The area would be 144cm^2.
In order to find the area, we need to know the length of the rectangle. We can find that using the perimeter formula.
2l + 2w = P
2l + 2(36) = 80
2l + 72 = 80
2l = 8
l = 4
So now that we know the length is 4, we can find the area using that formula.
A = lw
A = (4)(36)
A = 144
b. 2/7
c.16/30
d.36/75