Answer:It's D
Step-by-step explanation:
1 times 12 equals 12
2 times 12 equals 24
3 times 12 equals 36
Answer:
Step-by-step explanation:
Given
Required
Solve for x
Since B is in between both points, then:
This gives
Divide by 3
Answer:
Step-by-step explanation:
Let he speed of the boat on the lake is x.
<u>Considering the speed of the current it will take him:</u>
- 22.5/(x + 6) + 22.5/(x - 6) = 9
- 2.5 / (x + 6) + 2.5 / (x - 6) = 1
- 2.5(x - 6 + x + 6) = (x + 6)(x - 6)
- 2.5*2x = x² - 36
- x² - 5x - 36 = 0
- x = (5 ± √(5² + 4*36))/2 = (5 ± 13) / 2
- x = (5 + 13)/2 = 9 mph (negative root is discarded as the speed should be positive)
Answer:
A. n = 5
Step-by-step explanation:
S = n² + n
When S = 30:
n² + n = 30
Subtract 30 from both sides: n² + n - 30 = 0
Factorize: (n - 5)(n + 6) = 0
Therefore n = 5 or -6
As n > 2, then n = 5 only
Answer:
Height = 8 meters
Step-by-step explanation:
Given that
The volume V = 209 cubic meters Diameter = 10 meters
Radius r = 5 metres
How tall is the shed? The question is looking for the height of the cone
Using the formula for volume of a cone.
V = 1/3πr^2h
Where π = 3.14
209 = 1/3 × 3.14 × 5^2 ×h
209 = 3.14/3 × 25h
209 = 78.5h/3
h = 7.99 meters
h = 8 meters
Therefore, the shed is 8 meters tall.
