Answer:
The length of the hypotenuse is 5 inches.
Step-by-step explanation:
The formula for finding the hypotenuse is
,
with a and be being the two shorter sides of the triangle, while c is the hypotenuse.
Let's plug in our values for a and b and solve.

16 + 9 = 
25 = 
What is the square root of 25? 5.
The length of the hypotenuse is 5 inches.
Answer:
1448 Pounds per truck
Step-by-step explanation:
Divide 2896 by 2
If you haven't learned long division yet, try breaking up the number and dividing it by 2 like this:
2000/2=1000
800/2=400
90/2=45
6/2=3
Then, add them up and solve from there: 1000+400+45+3=1400+48=1448
Answer:

Step-by-step explanation:
Given

--- First Quadrant
Required
Find tan(A)
The sin of an angle is:

and

By comparison:


So, the Adjacent is:



Collect like terms


Take square roots


The tangent of an angle is:

This gives:

Answer:
NO amount of hour passed between two consecutive times when the water in the tank is at its maximum height
Step-by-step explanation:
Given the water tank level modelled by the function h(t)=8cos(pi t /7)+11.5. At maximum height, the velocity of the water tank is zero
Velocity is the change in distance with respect to time.
V = {d(h(t)}/dt = -8π/7sin(πt/7)
At maximum height, -8π/7sin(πt/7) = 0
-Sin(πt/7) = 0
sin(πt/7) = 0
Taking the arcsin of both sides
arcsin(sin(πt/7)) = arcsin0
πt/7 = 0
t = 0
This shows that NO hour passed between two consecutive times when the water in the tank is at its maximum height