Answer:
333 in^3
Step-by-step explanation:
Circumference = pi *d
27 = pi*d
Replacing d with 2*r ( 2 times the radius)
27 = pi * 2 * r
Divide each side by 2
27/2 = pi *r
13.5 = pi *r
Divide by pi
13.5/ pi = r
We want to find the volume of a sphere
V = 4/3 pi * r^3
V = 4/3 pi (13.5/pi)^3
= 4/3 pi * (13.5)^3 / (pi^3)
4/3 pi/pi^3 * (13.5)^3
4/3 * 1/ pi^2 *2460.375
3280.5 / pi^2
Let pi be approximated by 3.14
380.5/(3.14)^2
332.7214086 in^3
To the nearest in^3
333 in^3
Answer:
9(x + 3)
Step-by-step explanation:
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Answer:
Choice C: Lauren is faster than Kevin, slower than Jeremy.
Step-by-step explanation:
Ok, so it directly says that Jeremy is going at y=12x, or 12 miles per hour. To find how fast Kevin is riding, take two points of the table and use the slope formula to get the speed(.
Slope Formula: (y2-y1) / (x2-x1)
So lets take the table plots (2, 22) and (4, 33) to do this.
(y2-y1) / (x2-x1)
(33-22) / (4-2)
(11) / (2)
The speed of Kevin is 5.5 miles by hour.
Then, it asks for how fast Lauren is going, saying she is twice as fast as Kevin. Therefore, simply do:
5.5 * 2 = 11 miles per hour
To get the third biker's speed.
Now, with all of the speeds of the bikers, we can now compare them. Here's a listing of their speeds to make things easier to compare:
Jeremy: 12 mph
Kevin: 5.5 mph
Lauren: 11 mph
From this, we can see that Lauren is the second fastest. She is slower than Jeremy but faster than Kevin. Therefore, the correct answer choice is C.
I put the transversal line and the 2 parallel lines.
Also I added what the other angle right next to it.
Answer:
Step-by-step explanation:
Maybe this is roughly what you need
