Answer:
y = 10
x = 64
Step-by-step explanation:
the equations containing y are adjacent angles in a parallelogram, meaning that they are supplementary, so we can create an equation:
5y + 2 + 12y + 8 = 180
solve this to get y = 10
the equation for x would be 2x + 5y + 8 = 180 because these angles are also supplementary
solve this to get x = 64
First we need to find the square footage of her ceiling, since it's a square just multiply the side by the side: 44•44=1936. Now divide the square feet by how many feet each can can paint: 1936/242=8. Jenny would need exactly 8 cans of paint to paint her ceiling :)
Answer:
The unit rate of change is of 
Step-by-step explanation:
We are given a set of points (x,y).
To find the unit rate of change, we take two points, and divide the change in y by the change in x.
Points (4,9) and (8,12)
Change in y: 12 - 9 = 3
Change in x: 8 - 4 = 4
Unit rate of change:
Answer:
- plane: 550 mph
- wind: 50 mph
Step-by-step explanation:
If p and w represent the speeds of the plane and wind, respectively, the speed into the wind is ...
p - w = (3000 mi)/(6 h) = 500 mi/h
And, the speed with the wind is ...
p + w = (3000 mi)/(5 h) = 600 mi/h
Adding these two equations gives us ...
2p = 1100 mi/h
p = 550 mi/h . . . . . . . divide by 2
Then the wind speed is ...
w = 600 mi/h - p = (600 -550) mi/h
w = 50 mi/h
The rate of the plane in still air is 550 mi/h; the rate of the wind is 50 mi/h.
Answer:
- Area of the circle is 254.34 yd²
Step-by-step explanation:
Given:
- Diameter of circle = 18 yd
- π = 3.14
To Find:
Solution:
- Diameter = 18 yd
- Radius = 18/2 = 9 yd
We know that,
Substituting the required values,
<u>Hence,</u>
- <u>Area of the circle is 254.34 yd²</u>
