Coach Jump is standing on a platform watching the football team practice. If the platform is 12 feet high and the quarterback is standing 23 feet from the base of the platform, find the angle of depression from Coach Jump to the quarterback. Round to the nearest degree.

62 degrees.

Step-by-step explanation:

What you will have here is a right triangle. For the vertical put 12 ft and for the horizontal put 23 ft. You are trying to find the angle between the verticle and hypotenuse. This is what tangent is used for since you know the opposite and you know the adjacent lengths.

But since you are trying to find the angle you need to do an inverse tangent (also called arctangent)

ArctanФ = Adj/opposite

ArctanФ = 12/23 = 27.47 degrees. Rounded to the nearest degree is 27 degrees, if it wants rounded up its 28 degrees.

9 sandwiches per hour

step-by-step explanation:

when we have a rate, we want a 1 in the denominator

27/3 = 9

27 sandwiches/ 3 hours = 9 sandwiches/hour

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for