answer is
<span>Triangle PQR is similar to triangle TSR because measure of angle 3 equals measure of angle 4 and measure of angle 1 equals measure of angle 5</span>
<h3>given:</h3>
height= 15 cm
radius= 5
<h3>to find:</h3>
the volume of the cylinder.
<h3>solution:</h3>
![v = \pi {r}^{2} h](https://tex.z-dn.net/?f=v%20%3D%20%5Cpi%20%7Br%7D%5E%7B2%7D%20h)
![v = \pi \times {5}^{2} \times 15](https://tex.z-dn.net/?f=v%20%3D%20%5Cpi%20%5Ctimes%20%20%7B5%7D%5E%7B2%7D%20%20%5Ctimes%2015)
![v = 1178.09725 \: {cm}^{3}](https://tex.z-dn.net/?f=v%20%3D%201178.09725%20%5C%3A%20%20%7Bcm%7D%5E%7B3%7D%20)
Answer:
It will take Sarah 2 1/2 hours to mow 10 lawns
It will take Sarah 1 2/3 hours to clean 10 pools
Step-by-step explanation:
During the summer holidays, Sarah earns pocket money by mowing the lawn. She can mow 6 lawns in 1 1/2 hour and clean a pool in one-sixth of an hour. How long does Sarah take to clean 10 pools and 10 lawns?
Number of lawns : Time to mow lawns = 6 : 1 1/2
= 6 : 3/2
Number of lawns : Time to mow lawns = 10 : x
6 : 3/2 = 10 : x
6 ÷ 3/2 = 10/x
6 * 2/3 = 10/x
12/3 = 10/x
Cross product
12 * x = 3 * 10
12x = 30
x = 30/12
x = 2 6/12
x = 2 1/2 hours
It will take Sarah 2 1/2 hours to mow 10 lawns
Number of pools cleaned : time taken = 1 : 1/6
Number of pools cleaned : time taken = 10 : x
1 : 1/6 = 10 : x
1 ÷ 1/6 = 10/x
1 * 6/1 = 10/x
6 = 10/x
Cross product
6 * x = 10
6x = 10
x = 10/6
x = 1 4/6
x = 1 2/3 hours
It will take Sarah 1 2/3 hours to clean 10 pools
C and D are the same, so its between A and B, which concludes your answer should be B
The location of K(1,-3) after dilated by a scale factor of 1 is K’(1,-3) also