Answer:
It will take 8 hours for the 5 workers to complete the same job.
Step-by-step explanation:
The amount of work done is the same for both crews.
Work = time * workers
Work = 10 * 4
Work = time * 5
Set the two equal
10 * 4 = time * 5
Divide each side of the equation by 5
10*4/5 = time *5/5
8 = time
A 10-foot ladder leans against a wall. It hits the wall 9 feet up. How far is the base of the ladder from the wall? Apply the Pythagorean Theorem to this problem
triangle
side S1 = 9 feet
hypotenuse H = 10 feet
side S2 - X = ?
the Pythagorean Theorem
H x H = S1 x S1 + S2 x S2 = S1 x S1 + X x X
X x X = H x H - S1 x S1 = 10 x 10 - 9 x 9 = 100 - 91 = 9
X x X = 9
X = 3
How far is the base of the ladder from the wall? 3 feet
check:
H x H = S1 x S1 + X x X
10 x 10 = 9 x 9 + 3 x 3
100 = 91 +9 = 100
Answer:
Step-by-step explanation:
8x = 156.16
x= 156.16/8
x = $19.52
Answer:
Step-by-step explanation:
<u>Set inequality as per question:</u>
<u>We know that:</u>
- V = πr²h
- h = 10 cm
- π = 3.14
<u>Substitute and solve for r:</u>
- 2000 ≤ 3.14*10r² ≤ 2500
- 2000 / 31.4 ≤ r² ≤ 2500 / 31.4
- 63.69 ≤ r² ≤ 79.62
- 64 ≤ r² < 81
- r² = 64 ⇒ r = 8 cm is the possible radius