Answer:
x = 29
Angle A = 46.4°
Angle B = 43.6°
Step-by-step explanation:
Since it is a right angle triangle, we can find x from pythagoras theorem;
x = √(20² + 21²)
x = √(400 + 441)
x = √841
x = 29
Using trigonometric ratios we can find angles A and B.
Opposite is 20
Adjacent is 21
Thus; opp/adj = tan B
20/21 = tan B
B = tan^(-1) 0.9524
B = 43.6°
Sum of angles in a triangle is 180°. Thus;
A = 180 - (90 + 43.6)
A = 46.4°
Answer:7
Step-by-step explanation:
6p-4+7p+3=90
13p-1=90
13p=91
p=7
Answer:
The maximum height of the volleyball is 12.25 feet.
Step-by-step explanation:
The height of the volleyball, h(t), is modeled by this equation, where t represents the time, in seconds, after that ball was set :
....(1)
The volleyball reaches its maximum height after 0.625 seconds.
For maximum height,
Put 
Now put t = 0.625 in equation (1)

So, the maximum height of the volleyball is 12.25 feet.
2 hours = 120 minutes. Divide 120 by 2, which is 40. So she has 40 minutes for each assignment