Using four different numerators, write an equation in which four fractions, when added, have a sum of 1.

PQ is a tangent segment of a circle with radius 9 in. Q lies on the circle, and PQ = 13 in. Find the distance from P to the circ

lara [203]

<h3>Answer:</h3>

6.8 inches

<h3>Explanation:</h3>

The shortest distance from P to the circle is along the line between P and the center of the circle. That line is the hypotenuse of the right triangle whose legs are PQ and QC (where C is the circle center).

The Pythagorean theorem tells you

... PC² = PQ² +QC²

... PC² = 13² +9² = 250

... PC = √250 = 5√10 ≈ 15.8114 . . . . inches

The distance from P to the circle is 9 in less than this, so is

... 15.8114 - 9 = 6.8114 ≈ 6.8 . . . . inches

8 0

3 years ago

25 pointssss !!!!!!!!!

Reptile [31]

Answer:

Dion needs to add 10% of the solution

4 0

3 years ago

Which set of ordered pairs could represent a function? (2, 3), (2, 2), (2, 4), (2, 9), (2, –2) (1, 5), (2, 6), (1, 6), (4, 5), (

Ratling [72]

Given:

The set of ordered pairs in the options:

(a) (2, 3), (2, 2), (2, 4), (2, 9), (2, –2)

(b) (1, 5), (2, 6), (1, 6), (4, 5), (1, 4)

(c) (1, 0), (2, 0), (1, 3), (4, 3), (5, 7)

(d) (5, 1), (7, 3), (9, 5), (11, 7), (13, 9)

To find:

The set of ordered pairs that could represent a function.

Solution:

A set of ordered pairs represent a function, if there exist unique output (y-value) for each input (x-value).

In option (a) we have, five output values y=3,2,4,9,-2 for single input x=2. So, it is not a function.

In option (b) we have, three output values y=5,6,4 for single input x=1. So, it is not a function.

In option (c) we have, two output values y=0,3 for single input x=1. So, it is not a function.

In option (d), all inputs has unique output.

Therefore, the correct option is (d).

4 0

3 years ago

Read 2 more answers

Based on the records for the past several seasons, a sports fan believes the probability the red team wins is 0.30. The fan als

ki77a [65]

Answer:

The red team is expected to win 6 fewer games than the blue team

Step-by-step explanation:

In this question, we are concerned with calculating the number of games the red team is expected to win less than what the blue team will win, given the probability of wining of each of the teams and the total number of games

To calculate the total number of games each team is expected to win, what we do is to multiply the probability of wining of each of the teams by the total number of games

For the red team , the probability of wining P(r) = 0.3

The total number of games expected to be won is mathematically equal to 0.3 × 120 = 36 games

For the blue team , the probability of wining P(b) = 0.35

The total number of games expected to be won is mathematically equal to 0.35 × 120 = 42 games

The number of games fewer that the red team is expected to win = number of games expected to be won by the blue team - number of games expected to be won by the red team = 42 games - 36 games = 6 games

6 0

4 years ago

MARK AS BRAINLIEST!!

Papessa [141]

Answer:

42 = the number of hats Paula can knit from one yard of yarn

Step-by-step explanation:

The way this problem is written, the constant 42 is the multiplier of yards to get hats. That is, it has units of hats per yard, so represents the number of hats that can be knit from 1 yard of yarn.

_____

<em>Comment on the problem</em>

It seems more likely that the proportion should be written as ...

y = 42h

or

h = y/42

Then the constant would be the number of yards of yarn required for each hat.

6 0

3 years ago