Answer:
19.6 cubic centimeters
Step-by-step explanation:
The ratio of two similar 3D figures' volumes is equivalent to the ratio of their corresponding lengths (whether it's width, height, length, radius, etc) cubed.
Here, we know the cones are similar, and we know the smaller radius is 2 and the larger radius is 3. Then the ratio of the volume of the smaller one to the volume of the larger one is
.
We also know the actual volume of the larger cone is 66. So, if x is the volume of the smaller cone, we have the proportion:
x / 66 = 8 / 27
Cross-multiply:
27x = 66 * 8 = 528
Divide by 27:
x = 528/27 ≈ 19.6
The answer is thus 19.6 cubic centimeters.
<em>~ an aesthetics lover</em>
Answer:
0.02, 0.2, 2, 20, 200, 2, 2000
Step-by-step explanation:
Because we are just moving the 0 over so basically the furth the 2 is to the right it is less and less but the further left the 2 is it is a greater number
:}
I am assuming that 114114 is actually 114.
Toni: 20 + 0.80/lap
Marcy: 15 + 0.85/lap
Marcy: x laps
Toni: 114x laps
[20 + 0.80(114x)] + [15 + 0.85x] = 257
20 + 91.2x + 15 + 0.85x = 257
92.05x = 257 - 35
92.05x = 222
x = 222/92.05
x = 2.41 laps
Marcy: x = 2.41 laps
Toni: 114x = 114(2.41) = 274.74 laps
20 + 0.80(274.74) = 20 + 219.79 = 239.79 or 240
15 + 0.85(2.41) = 15 + 2.05 = 17.05 or 17
240 + 17 = 257
Answer:
C. y almost-equals 0.59 x + 0.03
Step-by-step explanation:
The linear regression equation is y ≈ 0.594 x + 0.029; r ≈ 0.998.
0.594 must be rounded down to 0.59 (digits finished in 1, 2, 3 and 4 are rounded down)
0.029 must be rounded up to 0.03 (digits finished in 5, 6, 7, 8 and 9 are rounded up)
Answer:
original is 500 and the resale is 750, do 750/500 to get a 1.5, that is the marup when changed to percentage it would be a 50% markup