Answer:
165
Step-by-step explanation:
First, m<UTS=m<UTV+m<VTS by Angle Addition Postulate. Then, you substitute all the values that you provided for the angles. 15x+15=x+15+140. You then solve for x.
15x+15=x+155
14x=140
x=10
You then plug back in 10 for X in the value of m<UTS. 15(10)+15=165
If you would like to know the length of each side of the patio, you can calculate this using the following steps:
an area ... 200 square feet
a ... the length of one side
area = a * a = a^2
200 = a^2
a = sqrt(200)
a = 14.14 feet
The correct result would be 14.14 feet.
Volume of a ball = 4/3 x PI x r^3
r = half the diameter.
Volume of 1 ball = 4/3 x PI x 2^3 = 33.5 cubic inches.
Multiply the volume of 1 ball by total balls:
33.5 x 4 = 134 cubic inches.
Answer:
B, the one with the line and shaded the top on the right side. (The one that goes to 7 on the x axis).
Step-by-step explanation:
First I find which graph as y -intercept of -3, which is all of them.
Next, I find with graph has a slope of 1/3. (rise 1 run 3). Only B and D has a slope of 1/3 (The ones that has a less steep graph. )
Then, I use the coordinate (0,0) to see which side the graph shades. I plug it into the inequality. (0)≥1/3(0)-3. Solve. Is 0 greater than -3. YES! so we shade the part where (0,0) is shaded which is B.
(4) is the y-intercept in the equation, and is where you plot it on the y-axis. (-3) is your slope. If you were to graph it, here is the link to how it looks like.
