Answer:
Volume of hemisphere =

Given volume =


So pi is there on both the sides so it will be cut from both LHS and RHS






Therefore value of r=3 inches
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Answer:
3.4
Step-by-step explanation:
3.4 is able to be converted into a fraction so it is rational.
Based on the given figure above, in order for us to find the area of the triangle, we need to find the value of the base first. So in finding the base, we are going to use the Pythagorean theorem. a2 + b2 = c2. Substitute the values.
(9.4)^2 + (23.2)^2 = c2
88.36 + 538.24 = c2
626.6 = c2
c= 25.03
Now that we have the base, let us proceed for the Area.
The formula for area would be A = 1/2 (b)(h)
Plug in the values.
A = 1/2(25.03)(7.9)
A= 1/2(197.74)
A= 98.87
Therefore, the area of figure ABC is 98.87.
Hope this answer helps.
Answer:
Perpendicular: y = 1/5x + 23/5
Parallel: y = -5x - 11
Step-by-step explanation:
Perpendicular:
Take note: Perpendicular lines have the negative, reciprocal slopes:

Parallel:
Take note: Parallel lines have the same slope:

Answer:
$290.
Step-by-step explanation:
We have been given that Rachel Perez rented a car for 3 days at $40.00 per day.

We are also told that she pays $0.20 per mile for renting the car. As she covered a total distance of 500 miles, so cost of renting car foe 500 miles will be:


As Rachel purchased the collision deductible for $10.00 per day to protect herself in case of an accident, so cost of collision deductible for 3 days will be:


She also paid $40 for gasoline to cover 500 miles, so we can find total cost to rent the car for 3 days to cover 500 miles by adding all the expenses.


Therefore, the total cost to rent the car was $290.