I need help for these two Im3
1 answer:
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Answer:
The constant of proportionality for the group of boxes is: 25
Step-by-step explanation:
Proportion means that change in one quantity causes change in other quantity. Direct variation means that increase in one quantity causes increase in the other quantity.
Let l be the length and v be the volume
Then according to given statement
V∝l
Removing the proportionality symbol introduces a constant in the equation
Putting V = 325 and l = 13
Hence,
The constant of proportionality for the group of boxes is: 25
Answer:
- 150π ft²
- 10π ft.
Step-by-step explanation:
Area of the sector :
Finding the area given r = 30 ft. and θ = 60° :
⇒ Area = π × (30)² × 60/360
⇒ Area = π × 900/6
⇒ Area = 150π ft²
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Length of the arc :
Finding the arc length given r = 30 ft. and θ = 60° :
⇒ Arc Length = 2 × π × 30 × 60/360
⇒ Arc Length = 60/6 × π
⇒ Arc Length = 10π ft.
F(x) = (x + 1)(x - 2)
f(x) = x(x - 2) + 1(x - 2)
f(x) = x(x) - x(2) + 1(x) - 1(2)
f(x) = x² - 2x + x - 2
f(x) = x² - x - 2
f(x) = x(x - 2) + 1(x - 2)
f(x) = x(x) - x(2) + 1(x) - 1(2)
f(x) = x² - 2x + x - 2
f(x) = x² - x - 2