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Answer:
rental fee = $6
average cost for 6 hours = $2.50/hour.
Step-by-step explanation:
x + 1.50*6 = 15 where x = the initial rental fee
x + 9 = 15
x = $6
The rental fee is $6.
For 6 hours, the cost per hour works out to 15/6 = $2.50
Answer:
He purchased 125 nails.
Step-by-step explanation:
if each nail cost $0.12 you would take $15 and divide it by $0.12.
Sin^(1/2) x cos x - sin^(5/2) cos x
= sin^(1/2) x cos x - sin(1/2)x sin^2 x cos x
factoring we get:
cos x sin^(1/2) x ( 1 - sin^2 x)
Now 1 - sin^2 x = cos^2 x so we have
cos x sin^(1/2) x * cos^2 x
= cos^3 x sqrt sin x
Answer:
b = 7√3
Step-by-step explanation:
This 30°- 60°- 90° triangle has the proportions:
side opposite of the 30° angle = x
side opposite of the 60° angle = x√3
side opposite of the 90° angle = 2x
____________________________
Given the side opposite of the 30° angle which is 7 units long, this can be thought of as x. Knowing the proportions of the other sides, we can find b knowing that this is the side opposite of the 60° angle which is x√3.
Since x = 7, x√3 = 7√3, and therefore
b = 7√3.
