Substitute 
and 
. Then the integral transforms to
Apply the power rule.
Now put the result back in terms of 
.
Answer:
<AED = 60
Step-by-step explanation:
Since triangle ADE is similar to triangle ABC
Angle ADE equals angle ADC
The angles of a triangle add to 180 degrees
<A + <ADE + <AED = 180
36 + 84+ <AED = 180
Combine like terms
120 + <AED = 180
Subtract 120 from each side
120-120 +<AED = 180-120
<AED = 60
Answer:
The change in the car's distance is 8 feet
Step-by-step explanation:
* Lets explain how to solve the problem
- A car is driving away from a crosswalk
- The distance d (in feet) of the car from the crosswalk t seconds
since the car started moving is given by the formula d = t² + 3.5
- The time increasing from 1 second to 3 seconds
- We need to now the change of the car's distance from the crosswalk
∵ The equation of the distance is d = t² + 3.5
∵ The time is 1 second
∴ d = (1)² + 3.5
∴ d = 1 + 3.5 = 4.5 feet
∵ The time is 3 seconds
∴ d = (3)² + 3.5
∴ d = 9 + 3.5 = 12.5 feet
∵ The change of the distance = d of 3 sec - d of 1 sec
∵ d of 3 sec = 12.5 feet
∵ d of 1 sec = 4.5 feet
∴ The change of the distance = 12.5 - 4.5 = 8 feet
∴ The change in the car's distance is 8 feet
The answer is b because the square root of 7 is 2.6.
