Answer:
The maximum height is 46.64 feet.
Step-by-step explanation:
If we take the derivative of h whit respect to t and equal this to zero we would find the value of t which corresponds to the maximum h.
So, we have the function h(t):

Taking the derivative, we have:

Now, we solve it for t:

Finally, we put this value of t into the original equation.

Therefore, the maximum height is 46.64 feet. All the given options are wrong, the one that comes closest is option A.
I hope it helps you!
As you can see, the diagonal actually creates a right triangle. Not only that, but you’re given two legs. Therefore, you can use the Pythagorean theorem to find the distance. Specifically, 78 (73?) feet and 27 feet.
Plug in for “a” and “b” to find your distance in:
a^2 + b^2 = c^2
sqrt(a^2 + b^2) = c
Plug in and solve
Answer:
if his car-wash job gives him $400 then he should only work 8 hours walking dogs to reach 520. Though it says to earn 'more than $520' so maybe 9hrs?
Step-by-step explanation:
He already has $400, which leave $120. 120 divided by 15 equals 8.