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Whitepunk [10]
4 years ago
6

In a plane, points P and Q are 20 inches apart. If point R is randomly chosen from all the points in the plane that are 20 inche

s from P, what is the probability that R is closer to P than it is to Q?
Mathematics
1 answer:
ale4655 [162]4 years ago
3 0

Answer:

P = \frac{2}{3}

Step-by-step explanation:

All the points in the plane that are 20 inches from P constituing a circle with center in P and with radius 20 inch

We need find the angle in this circle by which the point R is closer to P than it is to Q. The limit situation occurs when the distances from P to R and from R to Q are equals and have the value 20 inches. In this situation the points P, R y Q form a equilater triangle with angles of value 60°.

Thus, the point R is closer to P than it is to Q in 240° of the circle, except 60° above of the line PQ and 60° below the line PQ.

Then the probability is

P= \frac{240}{360} = \frac{2}{3}

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At bike shop x it costs $2.75 per hour plus a $3.00 deposit to rent a bike. at bike shop z it costs $1.75 per hour plus a $7.00
dem82 [27]

Answer:

Multiply the rate per hour by the number of hours (n) and add the deposit.

A)

Bike shop x: c = 2.75n + 3.00

Bike shop z: c = 1.75n + 7.00

B) to find when they will cost the same set the equations equal to each other and solve for n:

2.75n + 3.00 = 1.75n + 7.00

Subtract 3 from each side:

2.75n = 1.75n + 4.00

Subtract 1.75n from both sides:

1.00n = 4.00

Divide both sides by 1:

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6 0
3 years ago
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2/5m−1/3 when m = 3?
maxonik [38]
Answer:
M=15
Explanation:
I’m guessing you meant to write
m/5+3(m-1)/2=2(m-3)
5 0
3 years ago
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Given the sequence -2,-8/3,-10/3,-4,-14/3 find the recursive formula
balu736 [363]

Step-by-step explanation:

-2, -8/3, -10/3, -4, -14/3

Write as multiples of 1/3.

-6/3, -8/3, -10/3, -12/3, -14/3

This is an arithmetic sequence where the first term is -6/3 and the common difference is -2/3.

Therefore, the recursive formula is:

aᵢ₊₁ = aᵢ − 2/3, a₁ = -2

3 0
3 years ago
Please help. I need a 100
Ivenika [448]
I think that is B, C, or. C
6 0
4 years ago
Find the value of x, y and z
tangare [24]

Answer:

Step-by-step explanation:

8x = 9x - 7

-x = -7

x = 7

9(7)-7= 63-7=56

8(7)= 56

13y+7+56=180

13y+63=180

13y=117

y=9

13(9)+7= 117+7= 124

5y-11+56=90

5y+45=90

5y=45

y=9

5(9)-11+9(7)-7= z

45-11+63-7=z

34+56=z

90=z

7 0
3 years ago
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