Answer:
c. 35.34015106
Step-by-step explanation:
As with many problems of this nature, you only need to get close to be able to choose the correct answer. 22 minutes 45 seconds is just slightly less than 1/2 degree (30 minutes), so the tangent value will be just slightly less than tan(88.5°) ≈ 38. The appropriate choice is 35.34015106.
If you need confirmation, you can find tan(88°) ≈ 29, so you know the answer will be between 29 and 38.
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The above has to do with strategies for choosing answers on multiple-choice problems. Below, we will work the problem.
The angle is (in degrees) ...
88 + 22/60 +45/3600 = 88 + (22·60 +45)/3600 = 88 +1365/3600
≈ 88.3791666... (repeating) . . . . degrees
A calculator tells you the tangent of that is ...
tan(88.3791666...°) ≈ 35.3401510614
Many calculators will round that to 10 digits, as in the answer above. Others can give a value correct to 32 digits. Spreadsheet values will often be correct to 15 or 16 digits.
Answer: $80,000
Step-by-step explanation:
40%___$32,000
100%___X=$80,000
(100*32,000)/40 = 80,000
Answer:

Step-by-step explanation:
We have been given that an arrow is shot straight up from a cliff 58.8 meters above the ground with an initial velocity of 49 meters per second. Let up be the positive direction. Because gravity is the force pulling the arrow down, the initial acceleration of the arrow is −9.8 meters per second squared.
We know that equation of an object's height t seconds after the launch is in form
, where
g = Force of gravity,
= Initial velocity,
= Initial height.
For our given scenario
,
and
. Upon substituting these values in object's height function, we will get:

Therefore, the function for the height of the arrow would be
.
To answer this, you need to make a systems of equations.
25x + 35y = 1450
x + y = 50 ----> y = 50 - x
25x + 35(50-x) = 1450
25x + 1750 - 35x = 1450
25x - 35x + 1750 = 1450
-10x + 1750 = 1450
- 1750 -1750
-10x = -300
x = 30
He played tennis for 30min
you mutliply 65 to 85%/0.85 and you get 55.25cm as your answer