Answer:
Volume of the cylinder = 
Step-by-step explanation:
Height of the Cylinder(h)=5 units
Radius(r)=2 units
Volume of a cylinder=
Putting the values in the formula;
Volume of the cylinder 
As, 
Volume of the cylinder= 
The Volume of the cylinder is
Answer:
Step-by-step explanation:
we know that
The formula to find the sum is equal to
where
a1 is the first term
an is the last term
n is the number of terms
In this problem we have
substitute the values in the formula
Answer:
He should buy lights that are 2088 inches long
Step-by-step explanation:
Craig has a rectangle wooden deck that measures 799 inches by 245 inches.
Let us say the length, L, is 799 inches and the breadth, B, is 245 inches.
He wants to put a string of lights around the deck.
This means that he needs to buy the length of lights that would be equal to the perimeter of the rectangular deck.
The perimeter of a rectangle is given as:
P = 2(L + B)
Hence, the length of lights he should buy is:
P = 2(799 + 245) = 2(1044)
P = 2088 inches
He should buy lights that are 2088 inches long.
Answer:
C. 16
Step-by-step explanation:
First of all, these two angles are corresponding angles, which means that they equal each other. So, the equation here would be: 2x+18= 4x-14.
Step 1- Move the variables to one side.
2x+18= 4x-14
-2x -2x
18= 2x-14
Step 2- Add 14 to both sides of the equation.
18= 2x-14
+14 +14
32= 2x
Step 3- Divide 2 to both sides of the equation to isolate the variable.
<u>32</u>=<u> 2x</u>
2 2
x= 16
Rewrite the limit as
Then both numerator and denominator approach infinity (with different signs, but that's not important). Applying L'Hopital's rule, we get
