Volume ratio = 1331/729 which is the cube of the linear scale factor.
To find the linear scale factor, let find the cubic root of the numerator & the denominator:
∛1331 = ∛11³ = 11
& ∛729 = ∛9³ = 9
So the linear scale is 11/9 ==> then the ratio of their surface area will be:
11²/9² ==> 121/81.
Note, if you have a linear scale, then the surface will be the square othis scale & the volume will be the cube of the linear scale
For this case we have the following function:
Where,
g: number of gallons of gas
M (g): number of miles that Danny's truck travels
We know that the maximum capacity is 20 gallons of gas.
Therefore, the maximum distance the truck can travel is given by:
Thus, the domain of the function is:
The range of the function is:
Answer:
A domain and range that are reasonable for the function are:
D. D: 0 ≤ g ≤ 20
R: 0 ≤ M (g) ≤ 340
Answer:
22 feet
Step-by-step explanation:
Area of circle = pi(r²)
the square root of 121 is 11, so r = 11
d = 2r
d = 22
Answer:
(15,18)
Step-by-step explanation:
write two equations with the information provided.
2x + 3y = 84
x + 4y = 87
use the property of substitution to answer.
x + 4y = 87, x = 87 - 4y
2(87 - 4y) + 3y = 84
174 - 8y + 3y = 84
174 - 84 = 8y - 3y
90 = 5y
90/5 = y
y = 18
Add the value of Y to an original equation. Solve for X
2x + 3(18) = 84
2x + 54 = 84
2x = 84 - 54
2x = 30
x = 30/2
x = 15
Answer:
-1/10
Step-by-step explanation:
We need to get a common denominator of 10
-1/2 *5/5 = -5/10
2/5*2/2 = 4/10
-5/10 +4/10 = -1/10
