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MAVERICK [17]
1 year ago
5

Determine whether Point A lies on the circle whose center is Point C and whichcontains the Point P. Justify your answer mathemat

ically using a graph of the circle.a. Point A(-5,2); Point C(0,0); Point P(2,-5)

Mathematics
1 answer:
Arada [10]1 year ago
8 0

The Solution:

Given:

Center = (0,0)

Point A = (-5,2) being a point on the circle.

We are required to check if point P = (2,-5) is on the circle.

Solving the given problem graphically, we have:

From the above graph, it is clear that point P(2,-5) is a point on the circle.

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Dalgliesh the detective fancies himself a shrewd judge of human nature. In careful tests it has been discovered that he is right
Dafna11 [192]

Answer:

The probability that Jones is lying is 6/7

Step-by-step explanation:

First we will list out 2 different cases when the outcome is a lie

1.probability that Jones tells lies is = 0.6 and probability that dalgiliesh analyses it correctly is 0.8

So the probability that dagliesh correctly analyses that he is telling lies is 0.8*0.6=0.48

2.Probability that Jones tells truth is 0.4 and if dagliesh analyses it incorrectly (which has a probability of 0.2) the outcome(as analysed by dagiliesh) is a lie

So probability that dagliesh analyses Jones truth as a lie is 0.2*.0.4=0.08

Total probability of outcome being a lie is 0.48+0.08=0.56

But we need the probability of Jones actually saying a lie which is nothing but 0.48/0.56= 6/7

4 0
3 years ago
Coffee company wants to make sure that their coffee is being served at the right temperature. If it is too hot, the customers co
andrey2020 [161]

Answer:

The average temperature of coffee in the sample, which is 70.2.

Step-by-step explanation:

The population is all the costumers. The company has determined that they want the average coffee temperature to be 65 degrees C. So, 65 degrees C is the average of the population.

The sample is the 20 orders. The mean \mu of the sample is 70.2C(That is, the mean of the 20 orders0. So, the correct answer is:

The average temperature of coffee in the sample, which is 70.2.

3 0
3 years ago
Hayden is a manager at a landscaping company. He has two workers to landscape an entire park, Cody and Kaitlyn. Cody can complet
belka [17]
Answer: 3.4 h

Explanation:

1) The basis to solve this kind of problems is that the speed of working together is equal to the sum of the individual speeds.

This is: speed of doing the project together = speed of Cody working alone + speed of Kaitlyin working alone.

2) Speed of Cody

Cody can complete the project in 8 hours => 1 project / 8 h

3) Speed of Kaitlyn

Kaitlyn can complete the project in 6 houres => 1 project / 6 h

4) Speed working together:

1 / 8 + 1 / 6  = [6 + 8] / (6*8  = 14 / 48 = 7 / 24

7/24 is the velocity or working together meaning that they can complete 7 projects in 24 hours.

Then, the time to complete the entire project is the inverse: 24 hours / 7 projects ≈ 3.4 hours / project.Meaning 3.4 hours to complete the project.
7 0
3 years ago
Read 2 more answers
Value of (–3/8) × (+8/15). <br><br> A. 11/15<br> B. 11/23<br> C. –1/5<br> D. –1/3
svet-max [94.6K]

ANSWER

The correct answer is C

EXPLANATION

We want to find the value of

- \frac{3}{8}   \times  \frac{8}{15}

This is the same as:

-  \frac{3}{8}  \times  \frac{8}{3 \times 5}

We cancel out the common factors to get:

-  \frac{1}{1}  \times  \frac{1}{1 \times 5}

We simplify to get:

-  \frac{1}{5}

The correct answer is C

5 0
4 years ago
PLEASE HELP ASAP!! WILL GIVE BRAINIEST + 30 POINTS!!
Goryan [66]

Given rectangle RUTS, the missing reasons that justifies the five statements in the two-column proof are:

  1. Given
  2. Definition of rectangle.
  3. Definition of rectangle.
  4. By SAS Congruence Theorem.
  5. By CPCTC.

<h3>What is a Rectangle?</h3>
  • A rectangle is a quadrilateral.
  • All four angles in a rectangle are right angles.
  • The opposite sides of a rectangle are parallel and congruent to each other.

Therefore, based on what we are given and the definition of a rectangle, we can establish that △URS ≅ △STU by SAS.

Since △URS ≅ △STU, therefore ∠USR = ∠SUT by CPCTC.

In conclusion, given rectangle RUTS, the missing reasons that justifies the five statements in the two-column proof are:

  1. Given
  2. Definition of rectangle.
  3. Definition of rectangle.
  4. By SAS Congruence Theorem.
  5. By CPCTC.

Learn more about properties of rectangle on:

brainly.com/question/2835318

6 0
2 years ago
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