She can make 14 spikes maximum
Step-by-step explanation:
The formula of the volume of a cone is V = π r² h, where
∵ 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:
Step-by-step explanation:
<em>m∠</em>2 and <em>m∠</em>1 are congruent by the Corresponding Angles Theorem; we set both expressions equal to each other:
[80 - x]° = [90 - 2x]°
+ x° + x°
______________
80° = [90 - x]°
-90° - 90°
__________
−10° = [−x]°
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