Daisy is making solid spikes for her Halloween costume. The spikes are shaped like right circular cones with base radius of 2 in
1 answer:
She can make 14 spikes maximum
Step-by-step explanation:
The formula of the volume of a cone is V = π r² h, where
- r is the radius of its base
- h is its height
∵ The spikes are shaped like right circular cones with base
radius of 2 inches and height of 6 inches
∴ r = 2 inches
∴ h = 6 inches
- Use the formula above to find the volume of each spike
∵ V = (π)(2)²(6)
∴ V ≅ 25.13274 inches³
∵ Daisy has 360 cubic inches of material for making the spikes
- To find the number of spikes she can make divide the volume
of the material by the volume of each spike
∴ The number of spikes = 360 ÷ 25.13274 = 14.324
- The number of spikes must be an integer
∴ The maximum number of spikes she can make is 14
She can make 14 spikes maximum
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Answer:
x = 4 ±
Step-by-step explanation:
Given
(x - 12)(x + 4) = 9 ← expand the left side using FOIL
x² - 8x - 48 = 9 ( ad 48 to both sides )
x² - 8x = 57
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = 57 + 16
(x - 4)² = 73 ( take the square root of both sides )
x - 4 = ± ( add 4 to both sides )
x = 4 ±