Answer:
1/20 or 0.05
Step-by-step explanation:
Assuming that all five posters are different, the number of ways to randomly place those posters is given by:

If we want the largest to be in the center and the next largest to be on its left, two poster will have a set position and only three could be randomized:

Therefore, the probability is:

The probability is 1/20 or 0.05.
Answer:
<h2>Width = 7.6 ft.</h2><h2>Length = 12.7 ft.</h2>
Step-by-step explanation:
Perimeter of a rectangle (P) = 2L + 2W
where
P = 40.6 ft.
L = 2W-2.5
plugin values into the formula:
40.6 = 2(2W-2.5) + 2W
40.6 = 4W - 5 + 2W
40.6 + 5 = 6W
W = 45.6 / 6
W = 7.6 ft.
L = 2W-2.5
L = 2(7.6) - 2.5
L = 12.7 ft.
proof:
P = 2(12.7) + 2(7.6)
P = 40.6 ft.
Answer:
B. 8.6 cm
Step-by-step explanation:
⅓*πr²h = Volume formula of a cone (V)
Volume of cone (V) = 225 cm³
diameter of cone (d) = 10 cm
radius of cone (r) = ½(10) = 5 cm
height (h) = ?
Plug in the values into the equation and solve for h
⅓ × π × 5² × h = 225
⅓ × π × 25 × h = 225
(25π × h)/3 = 225
Multiply both sides by 3
(25π × h)/3 × 3 = 225 × 3
25π × h = 675
Divide both sides by 25π
h = 675/25π
h ≈ 8.6 cm (nearest tenth)