6x^2 + 37x - 60 = 6x^2 - 8x + 45x - 60 = 2x(3x - 4) + 15(3x - 4) = (3x - 4)(2x + 15)
Answer:
x = 
Step-by-step explanation:
Given
= x + 7 ( multiply both sides by 2 to clear the fraction )
4x - 1 = 2(x + 7) ← distribute
4x - 1 = 2x + 14 ( subtract 2x from both sides )
2x - 1 = 14 ( add 1 to both sides )
2x = 15 ( divide both sides by 2 )
x = 
Answer:

Step-by-step explanation:
The problem could be simplified as following:
Given:
The radius of a circle O is 26 feet.
Solve for:
The length of arc on circle O that measures 13 radians
Solution:
Step 1: Let's find out the correct formula to apply:
The formula to calculate the length of an arc measuring x radians on a circle with radius r feet is:
L = r*x
Step 2: Let's put the data into formula to work out the length L of arc:
L = 26*13 = 338 (ft)
=> The distance that a horse does on the outer edge travel when the carousel rotates through 13 radians: L = 338 (ft)
Hope this helps!
:)
Answer:
1922.7 cubic inches
Step-by-step explanation:
The volume of a cylinder can be found with this formula:
V=πr^2h
The radius, r, is half the diameter.
So, 12/2=6
r=6 inches
Then, just plug the numbers in.
V=π(6)^2(17)
V=1922.65
Rounding to the nearest tenth:
V=1922.7 cubic inches