Answer:
x=4
y=4√5
Step-by-step explanation:
Set up 3 right triangles and mark their respective angles. The largest will have sides (in typical a,b,c[hypotenuse] order) y, z, and 10. The middle 8, x, and y. The smallest x, 2, and z.
Then since they are all similar triangles, using the midde and smaller triangles, set up the proportionin which both A sides when divided are equal to the B sides.
So 8/x = x/2
Cross multiply and get 16=x^2.
The square root of 16 is 4, so x is 4.
Then using the larger and middle triangles, do the same for the A and C sides.
So y/8 = 10/y.
Cross multiply and get 80=y^2.
Find the square root of it, which since it doesn't have a perfect square, you use a calculator or the whatever theorem and get √4*4*5 or simply 4√5.
So x = 4 and y = 4√5
Answer:
100
Step-by-step explanation:
The attached "technology" shows that about 0.8327 of the league will weigh 165 pounds or more. That number is ..
0.8327 × 120 members = 99.92 members ≈ 100 members
About 100 members of the league will weigh 165 pounds or more.
First, simplify. Combine like terms
10x - 3x = 7x
7x + 1 = x + 4
Isolate the x. Subtract x from both sides, and 1 from both sides
7x (-x) + 1 (-1) = x (-x) + 4 (-1)
7x - x = 4 - 1
Simplify
6x = 3
Isolate the x. Divide 6 from both sides
6x/6 = 3/6
x = 1/2
1/2, or 0.5 is your answer for x.
hope this helps
Answer:
H
Step-by-step explanation:
Answer:
18 inches
Step-by-step explanation:
Given: The heights of both cylinders are 48 inches and 32 inches. Diameter of the larger cylinder is 12 inches
To find: diameter of the larger cylinder
Solution:
Height of the larger cylinder (H) = 48 inches
Height of the smaller cylinder (h) = 32 inches
Diameter of the smaller cylinder (d) = 12 inches
Radius of the smaller cylinder (r) = d/2 =12/ 2= 6 inches
As two cylinders are similar, their heights and radii are proportional.

Diameter of the larger cylinder = 2R = 2(9) = 18 inches