The triangle with the given coordinates X(6,1) Y(-2,-3) Z(0,3) is an isosceles triangle.
The given coordinates are X(6,1) Y(-2,-3) Z(0,3).
<h3>What are coordinates?</h3>
A coordinate system is a system in geometry that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold, such as Euclidean space, in a unique way.
We know that, Distance formula 
Now, 
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Hence, the triangle with the given coordinates X(6,1) Y(-2,-3) Z(0,3) is an isosceles triangle.
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We know that
[volume of a cone]=pi*r²*h/3
h=70 cm
r=15 cm
[volume of a cone]=pi*15²*70/3----------> 16485 cm³
if <span>Cathy uses 500 cm</span>³ of honey----------------> 1 day
<span>16485 cm</span>³--------------------------------------> X
<span>X=16485/500-----------> 32.97 days
the answer is 33 days </span>
I believe the correct answer is the third answer.
Hope this helps! :)
Answer
Step-by-step explanation:
- The number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists
- Let x represent the number of cyclists.
- Since, the activists receive $60 per cyclist entry and $15,000 in donations, hence:
- Revenue = 60x + 15000
- Also, the cost of the race is $18 per entry, hence:
- Cost = 18x
- They need to raise at least $57,000, hence:
- Profit ≥ 57000
- Revenue - Cost ≥ 57000
- (60x + 15000) - 18x ≥ 57000
- 42x ≥ 42000
- x ≥ 1000
- Therefore the number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists
