Suppose y varies directly with x. Write a direct variation equation that relates x and y. y=7 1/2 when x=3
1 answer:
Answer:
y/x = 2.5
Step-by-step explanation:
y ∝ x
change ∝ to = by adding constant k or c
y = kx
Divide both sides by x
y/x = k, also k = y/x
Input the values
k = (7 1/2)/3. Change 7 1/2 to improper fraction to give 15/2
k = (15/2)/3
k = ÷ 3
Change the division sign to multiplication which will change 3 to its inverse(1/3)
k = ×
k =
Divide the numerator and denominator by 3 to get 5/2
k = 5/2
From y/x = k,input k into the eqn
y/x = 5/2
y/x = 2.5
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Answer:
The space that the package would occupy is 45 cubic feet.
Step-by-step explanation:
The space that the package occupies is the volume of the cylinder. The volume of an object is the 3 dimensional capacity of the object.
Volume of a cylinder = h
where: r is the radius and h is the height of the cylinder.
Given that; h = 5 feet and r = 3 feet.
The required volume = ×
× 5
= × 9 × 5
= 45 cubic feet
The space that the package would occupy is 45 cubic feet.
I attached an image with the complete question.
Answer:
volume of attic = 1526.04 ft³
Explanation:
Volume of cone can be calculated using the following rule:
Volume =
* area of base * height
Volume = * π * radius² * height
We are given that:
π = 3.14
radius = 18/2 = 9 ft
height = 18 ft
Substitute in the equation to get the volume as follows:
Volume = * 3.14 * (9)^2 * (18) = 1526.04 ft³
Hope this helps :)
Answer:
volume of attic = 1526.04 ft³
Explanation:
Volume of cone can be calculated using the following rule:
Volume =
Volume =
We are given that:
π = 3.14
radius = 18/2 = 9 ft
height = 18 ft
Substitute in the equation to get the volume as follows:
Volume =
Hope this helps :)