If SU bisects TSV, then TSU = USV
4y + 11 = 6y + 5
6y - 4y = 11 - 5 = 6
y = 6/2 = 3
Therefore, m<TSU = 4(3) + 11 = 12 + 11 = 23
Answer:
A) 
Step-by-step explanation:
The polynomial factored is equal to the area of the algebra tiles. This means the quadratic is

After writing out each tile as a term, combine like terms to simplify. This ia the quadratic.
Answer:
18
Step-by-step explanation:
Answer:
5/√3 inches long.
Step-by-step explanation:
The property is that the lengths of the sides of a 30-60-90 triangle are in the ratio 1:2:√3. Thus if you know that the side opposite the 60 degree angle measures 5 inches then then this is √3 times as long as the side opposite the 30 degree so the side opposite the 30 degree angle is 5/√3 inches long.
Answer:

Step-by-step explanation:
We are asked to find the volume of the cylinder. The formula for calculating a cylinder's volume is:

We know the height of the cylinder is 8 feet. We are given the diameter, the distance from edge to edge through the center. We want to find the radius, the distance from the edge to the center.
The radius is half the diameter.
- r = d/2
- r= 10 ft/2
- r=5 ft
We know both variables (h= 8ft and r=5 ft) and can substitute them into the formula.

Solve the exponent.

Multiply the numbers in parentheses.


The volume of the cylinder is <u>200π cubic feet and choice C is correct.</u>