Answer:
# of laps < 28, the number of laps will be less than 28.
1 lap = 4 minutes
28 laps = 112 minutes
Because we want less than 28 laps,
27 laps = 108 minutes
She can run any amount of laps less than 28.
Answer:
f(2) = 9(2) and f(0) = g(0)
Step-by-step explanation:
As in the expression f(x) = g(x), the values in parentheses need to be the same for both f( ) and g( ). That is only the case for the first answer choice.
Answer:
272 cm²
Step-by-step explanation:
Step 1
We have to find the scale factor
When given the volume of two solids, the formula for the scale factor is
V1/V2 = (Scale factor)³
The volume of Pyramid A is 704 cm³ and the volume of Pyramid B is 297 cm³
V1 = Pyramid A
V2 = Pyramid B
704/297 = (scale factor)³
We simplify the left hand side to simplest fraction
The greatest common factor of 704 and 297 = 11
704÷11/297÷11 = (scale factor)³
64/27 = (scale factor)³
We cube root both sides
cube root(scale factor)³ = cube root (64/27)
scale factor = (4/3)
Step 2
(Scale factor)² = S1/S2
S1 = Surface area of Pyramid A =?
S2 = Surface area of Pyramid B = 153 cm²
Hence,
(4/3)² = S1/153
16/9 = S1/153
Cross Multiply
S1 × 9 = 16 × 153
S1 = 16 × 153/9
S1 = 272 cm²
Therefore, the Surface Area of Pyramid A = 272 cm²
Answer:
If I am doing this correctly it should be 58
Step-by-step explanation:
VF=36 so VN/FN = 13
EI = 42 so EN/IN = 21
EF = 24 so VI = 24 (Parallel)
13 + 21 + 24 = 58
14,000 because 494 would round down since it is not above 500.