Answer: y = -3
<u>Step-by-step explanation:</u>
-8x - 5y = -1
<u>+8x </u> <u>+8x </u>
-5y = 8x - 1
<u> ÷-5 </u> <u> ÷-5</u> <u>÷-5</u>
y = 
y(2) = 
= 
= 
= -3
In a parallogram the two angles on the same side ( Angle T and Angle C) equal 180 degrees
So we have 8x +29 + 2x +11 = 180
combine the like terms:
10x + 40 = 180
Subtract 40 from each side:
10x = 140
Divide each side by 10:
X = 140 /10
X = 14
Now we have X, replace X into the equation for angle C
2(14) +11 = 28 + 11 = 39 degrees
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>
Answer:
4.908
Step-by-step explanation:
Expanded Notation Form:
4
+ 0.9
+ 0.00
+ 0.008
Expanded Factors Form:
4 × 1
+ 9 × 0.1
+ 0 × 0.01
+ 8 × 0.001
Expanded Exponential Form:
4 × 100
+ 9 × 10-1
+ 0 × 10-2
+ 8 × 10-3
Word Form:
four and nine hundred eight thousandths