If two triangles are similar then the
corresponding sides are in proportion. Thus,
AB / AU = BC / UV = AC / AV
AB / (20x+108) = 703 / 444
Where AB is equivalent to:
AB = AU + UB
AB = 20x + 108 + 273
AB = 20x + 381
Therefore going back to the first equation:
(20x + 381) / (20x + 108)
= 703/444
444 (20x + 381) = 703 (20x + 108)
8880x + 169164 = 14060x + 75924
14060x - 8880x = 169164 – 75924
5180 x = 93240
x = 93240 / 5180
<span>x = 18</span>
So..Volume of a cylinder = pi(r)^2 x Height
The first can has a radius of 1.75 (3.5/2) and a height of 1.25 inches..put that in the formula and you'll get the volume of the first cylinder ~ 12.02
Do the same thing with the second cylinder and you'll get ~5.65 as the volume.
Now calculate the difference between the two by simply subtracting the two volumes and the difference would approximately be 6.37
hope this helps! :)
Answer:
8 feet
Step-by-step explanation:
First, draw a picture. The pole is 22 feet tall. Katherine is 5.5 feet tall. She is 24 feet from the pole. The light from the top of the pole to the tip of her shadow forms two similar right triangles. The length of her shadow is x.
Now use similar triangles to write a proportion:
22 / (24 + x) = 5.5 / x
Cross multiply:
22x = 5.5 (24 + x)
Distribute:
22x = 132 + 5.5x
Combine like terms:
16.5x = 132
Divide:
x = 8
The shadow is 8 feet long.
If the CPI for 1989 was 124, the rate of the inflation between the base period and 1989 was 24%!
Answer:
13x+2+5x-7+3x-4=180
13x+5x+3x=180-2+7+4
21x/21=189/21
X=9
Please put the degrees sign there
Step-by-step explanation:
