Triangle ABC is similar to triangle DEF solve for r?
1 answer:
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Answer:
Step-by-step explanation:
we know that
The volume of a portable kennel (rectangular prism) is equal to
where
substitute the given values in the formula of volume
Apply distributive property right side
Solve the cubic equation by graphing
using a graphing tool
The solution is x=1.9
see the attached figure
Find the dimensions
substitute the value of x
<u>Red</u>
This is a circle with center (h, k) at (0,0) and radius (r) = 6
Formula: (x - h)² + (y - k)² = r²
Answer: x² + y² = 36
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<u>Blue</u>
This is a circle with center (h, k) at (2,2) and radius (r) = 1
Formula: (x - h)² + (y - k)² = r²
Answer: (x - 2)² + (y - 2)² = 1
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<u>Green:</u>
This is a circle with center (h, k) at (-2,-2) and radius (r) = 1
Formula: (x - h)² + (y - k)² = r²
Answer: (x + 2)² + (y + 2)² = 1
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<u>Purple:</u>
This is an ellipse with center (h, k) at (0,-2) and radius on the x-axis (a) = 3 and radius on the x-axis (b) = 1
Formula:
Answer:
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<u>Black:</u>
This is a parabola with vertex (h, k) at (0,-6) and vertical stretch (a) = -1
Formula: y = a(x - h)² + k
Answer: y = -x² - 6