Answer:
87 packages
Step-by-step explanation:
First we need to find the volume of the cone-shaped vase.
The volume of a cone is given by:
V_cone = (1/3) * pi * radius^2 * height
With a radius of 9 cm and a height of 28 cm, we have:
V_cone = (1/3) * pi * 9^2 * 28 = 2375.044 cm3
Each package of sand is a cube with side length of 3 cm, so its volume is:
V_cube = 3^3 = 27 cm3
Now, to know how many packages the artist can use without making the vase overflow, we just need to divide the volume of the cone by the volume of the cube:
V_cone / V_cube = 2375.044 / 27 = 87.9646 packages
So we can use 87 packages (if we use 88 cubes, the vase would overflow)
The length of the shadow is 124.7 in
<u>Explanation:</u>
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Given:
Angle, θ = 30°
Height of the fence, h = 72 in
Length of the shadow, l = ?
Given:
tan 30° = 
Therefore, the length of the shadow is 124.7 in
First you take the area,
4 x 2 = 8 cm
Then you take 72 cm and divide it by 8 cm to get your length
So the answer for the length is 9 cm
The answer is c = .6x + 5
In order to find the equation, note that the price per pound is contingent upon the weight in x. Therefore, we can multiply the two together.
We also need to add the constant, which is 5.
