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
-----------------------
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
-----------------------
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
Answer:
Solution
x = 90
Step-by-step explanation:
Combine multiplied terms into a single fraction
4
9
+
1
5
⋅
=
5
8
\frac{4}{9}x+\frac{1}{5} \cdot x=58
94x+51⋅x=58
4
9
+
1
5
⋅
=
5
8
\frac{4x}{9}+\frac{1}{5} \cdot x=58
94x+51⋅x=58
2
Combine multiplied terms into a single fraction
3
Multiply by 1
Answer:
Yes
Step-by-step explanation:
In the equation, -1.3 is the y-intercept. The y-intercept always has a x value of 0. On the point (0,-1.3), it matches the y-intercept and is therefore part of the function/equation.
Hope this helps :)
Answer: 16 points
Step-by-step explanation:
12+4=16 You have to add 4 points to the 12 points he got on the second game because in the problem it says that the second game had 4 fewer points then the first.
