I believe the amount of income tax the doctor has to pay is $9,127.5
<span>a/b = 3/5 ----- a = (3b)/5
a + b = 136 --- (3b)/5 + b = 136
3b + 5b = 680
8b = 680
b = 85
a = (3b)/5 = (3 * 85)/5 = 51
a = 85 and b = 51</span>
In item# 1, we are only given with the height of the tree a=15 meters and we are asked to solve for the hypotenuse. Since we are not given with angle created between the rope the ground level we will assign it as ∠A = ∅
Solving for the length of the rope, we have
sin A = 15/Length of rope
Length of rope = 15 meters / sin A
In item#2, assuming that it is a right triangle we have:
8 ²= x²+3.5²
x=7.2
The smallest angle:
sin Z =3.5/8
Z = 25.95°
Answer:
c
Step-by-step explanation:
The mean value theorem states that for a continuous and differentiable function on a interval there exists a number c from that interval, that
First we must determine the endpoints:
We find the derivative of the function, f'(c)
Therefore:
Simplify:
Speed is distance/time so
[(d/20)+(d/24)]/2= 24d+20d/24•20•2=44d/20•24•2=22d/20•24=11d/240
