-0.2k = -15 ( then divide -0.2k on both sides)
The answer is then k= 75
With the information provided in the problem, we can create a right triangle with the ramp as its hypotenuse, and the vertical rise as its opposite side from its angle of elevation.
Let

be the angle of elevation from the car to the end of the ramp. We now know that the hypotenuse of our triangle measures 445 feet, and the opposite side measures 80 feet, so we need a trig function that relates our angle of elevation with the hypotenuse and the opposite side. That function is sine:



We can conclude that the angle of elevation from the car to the end of the ramp is 10.36°.
Answer:
4/25 = 0.16
Step-by-step explanation:
The shortest stick must be between 0 and 5/3. The probability that it is longer than 1 is therefore:
(5/3 − 1) / (5/3 − 0)
(2/3) / (5/3)
2/5
So the probability that both of the shortest sticks are longer than 1 is (2/5)² = 4/25.
Answer:
60 miles
Step-by-step explanation:
In 1 week Zach will run
6* 5 = 30 miles
Multiply this by 2 for 2 weeks
30*2 = 60 miles