Answer:
32 mph
Step-by-step explanation:
We want to find the patrolman's rate in miles per hour during the shift. Since we want to find miles per hour, we must divide the miles he drove by the number of hours.
rate = miles / hours
He drove 272 miles.
rate = 272 miles / hours
He drove for 8 hours and 30 minutes. There are 60 minutes in 1 hour. One half of 60 is 30. Therefore, we can also say he drove eight and a half, or 8.5 hours.
rate= 272 miles / 8.5 hours
rate = 32 miles / hour
rate= 32 mph
His average rate during the shift was 32 miles per hour.
1-r=-5
add r to both sides so the one side cancels out, then it should be 1=r-5
then you add -5 on each sides (because what you do to one side you must do to the other) and it would then have r on its own side which would give you your answer of r=6. To check 1-6 does equal -5
Answer:
The answer is 90 songs.
Step-by-step explanation:
Let x be the number she has to transfer, then:
x + 150 =2(210 - x)
x + 150 = 420 - 2x
3x = 420 - 150
3x = 270
x = 90
Answer:
Step-by-step explanation:
We want to find sin(θ) and cos(θ) given that tan(θ) = 1/4 and sin(θ) > 0.
First, since tan(θ) and sin(θ) are both positive, cos(θ) must be positive as well.
Recall that tangent is the ratio of the opposite side to the adjacent side.
Therefore, the hypotenuse is:
So, with respect to θ, the opposite side is 1, the adjacent is 4, and the hypotenuse is √17.
Then it follows that:
And that:
