Answer: C. 7.5%
Solve as decimal
0.5*0.15=0.075
Move two decimal points over
0.075 -> 7.5
Change back to percent
7.5%
Answer:

Step-by-step explanation:
This parallelogram contains a right angle. This tells us that the parallelogram is a rectangle.
The diagonals in a parralelogram bisect each other.
The diagonals in a rectangle are congruent.


Answer:
-460
Step-by-step explanation:
I multiply by splitting the numbers into digits. So for the 90, in my head I did 5 × 90, which is 450. Then I did 2 × 5, this is 10. Now I added those up to make 460. Considering the 92 is negative, the answer will also be negative.
d)

Product rule:

Chain and power rules:

Power rule:

Now simplify.


e)

Quotient rule:


Power rule:

Now simplify.



f)

Chain rule:



We can further simplify this to

using the double angle identity for sine.
Answer:
Diameter of the pipe ≈ 6.77 ft
Step-by-step explanation:
Volume of a cylinder = πr²h
Here, r = Radius of the cylindrical pipe
h = Length of the pipe
Volume of the pipe = 900 ft³
Length of the pipe = 25 ft
By substituting the given values in the formula,
900 = π(r)²(25)
r² = 
r = √11.459
r = 3.385
Diameter = 2(radius)
= 2(3.385)
= 6.77 ft