Answer:
(-1,-9) <u>PLEASE MARK BRAINLIEST!!!!!</u>
Step-by-step explanation:
k(-4,-6) , m(-7,-3)
-7+4=-3
-3+6=3
-4+3=-1
-6-3=-9
(-1,-9)
Answer:
Toothbrushes: 100
Floss: 1050
Step-by-step explanation:
to find the number of toothbrushes, you multiply 50*20....to get the floss you multiply 15*70
Find the circumference which is 2*3.14*13 and then usethe central angle formula
Answer:
88 cm
Step-by-step explanation:
The side of the square = 6 cm, so the shorter side of each rectangle = 6 cms.
The area of each rectangle = 36 * 1 1/3
= 36 * 4/3 = 48 cm^2
So the longer side of each rectangle = 48 / 6 = 8 cms
Therefore, the perimeter of the whole figure
= 4( shorter sides ) + 8(longer sides)
= 4*6 + 8*8
= 24 + 64
= 88 cm (answer)
Part a)
Answer: 5*sqrt(2pi)/pi
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Work Shown:
r = sqrt(A/pi)
r = sqrt(50/pi)
r = sqrt(50)/sqrt(pi)
r = (sqrt(50)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(50pi)/pi
r = sqrt(25*2pi)/pi
r = sqrt(25)*sqrt(2pi)/pi
r = 5*sqrt(2pi)/pi
Note: the denominator is technically not able to be rationalized because of the pi there. There is no value we can multiply pi by so that we end up with a rational value. We could try 1/pi, but that will eventually lead back to having pi in the denominator. I think your teacher may have made a typo when s/he wrote "rationalize all denominators"
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Part b)
Answer: 3*sqrt(3pi)/pi
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Work Shown:
r = sqrt(A/pi)
r = sqrt(27/pi)
r = sqrt(27)/sqrt(pi)
r = (sqrt(27)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(27pi)/pi
r = sqrt(9*3pi)/pi
r = sqrt(9)*sqrt(3pi)/pi
r = 3*sqrt(3pi)/pi
Note: the same issue comes up as before in part a)
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Part c)
Answer: sqrt(19pi)/pi
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Work Shown:
r = sqrt(A/pi)
r = sqrt(19/pi)
r = sqrt(19)/sqrt(pi)
r = (sqrt(19)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(19pi)/pi