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jok3333 [9.3K]
3 years ago
14

Line segment AB is the diameter of circle C. If the endpoints of the diameter are (3, -4) and (7,2), what are the coordinates of

the center of the circle
Mathematics
1 answer:
dimulka [17.4K]3 years ago
5 0

Answer:

(5, -1)

Step-by-step explanation:

You find the center of both the coordinates. For the x axis: 3+7 = 10. 10/5=2. For the y axis: -4+2=-2. -2/2 = -1. Put them together and get the answer! :)

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A chicken salad recipe calls for 1 8
NARA [144]

Answer: 1.0625\ pounds or \frac{17}{16}\ pounds

Step-by-step explanation:

The complete exercise is: "A chicken salad recipe calls for \frac{1}{8} pound of chicken per serving . How many pounds of chicken are needed to make 8\frac{1}{2}  serving".

You can convert the Mixed number to a Decimal number. Divide the numerator 1 by the denominator 2 and then add the quotient to the Whole number. Then, you get:

8+0.5=8.5

Now divide the numerator 1 by the denominator 8 to write the fraction to a Decimal number. Then:

\frac{1}{8}= 0.125

Let be "x" the amount of pounds are needed to make 8\frac{1}{2}  serving.

Then, you can set up the following proportion:

\frac{1}{0.125}=\frac{8.5}{x}

Solving for "x", you get:

\frac{1}{0.125}=\frac{8.5}{x}\\\\x(\frac{1}{0.125})=8.5\\\\x=8.5*0.125\\\\x=1.0625

or \frac{17}{16}\ pounds

7 0
3 years ago
Katie has a bag of 15 marbles. There are 3 green, 4 blue, and 5 red marbles. The rest of the marbles are yellow. If Katie random
son4ous [18]

Answer:

P(yellow or red)   =8/15

Step-by-step explanation:

There are 15 marbles, 3 green, 4 blue, and 5 red marbles.

3+4+5 = 12

That means there are 15-12 = 3  3 yellow marbles.

3 green,

4 blue

5 red

3 yellow

To find the probability of yellow or red, we add the number of yellow and red marbles together over the total number of marbles

P(yellow or red) = (yellow +red)/ total

                           = (3+5)/ 15

                             =8/15

8 0
3 years ago
Using the number line below, draw a box and whisker plot for the following data: 12,18,18,20,22,22,25,26,30,30,32,32,35,35,38,49
Dmitry_Shevchenko [17]

Answer:

Step-by-step explanation:

Population size: 17

Median: 30

Minimum: 12

Maximum: 49

First quartile: 21

Third quartile: 35

Interquartile Range: 14

Outliers: none

5 0
3 years ago
A helium-filled blimp stays aloft since helium is less dense than regular air, so helium will rise above regular
worty [1.4K]

Answer:

The blimp can carry 70 passengers

Step-by-step explanation:

Lets use the ratio method to solve this problem

∵ 1 cubic meter of helium  can lift about 1.1 kg

∵ A blimp can carry as much as 2 x 10^{5} m³ of helium

By using the ratio method

→  m³         :  kg

→  1            :  1.1

→  2 x 10^{5}   :  x

By using cross multiplication

∴ x × 1 = 1.1 × 2 x 10^{5}

∴ x = 2.2 x 10^{5}

∵ x represents the mass that can carried by the helium

∴  2 x 10^{5} m³ of helium can lift 2.2 x 10^{5} kg

∵ The mass of the blimp is 2.13 x 10^{5} kg

- Subtract the mass of the blimp from the mass that the given

    amount of helium can lift to find the mass of the passengers

∴ The mass of the passengers = 2.2 x 10^{5} - 2.13 x 10^{5}

- Subtract 2.13 from 2.2 ⇒ 2.2 - 2.13 = 0.07

∴ The mass of the passengers = 0.07 x 10^{5}

∵ The average mass of a person with luggage is 10² kg

- Divide the mass of the passengers by the mass of the person

   to find the number of the passengers

∴ The number of passengers = 0.07 x 10^{5} ÷ 10²

- Subtract the exponents of 10 to find the answer

∵ 10^{5} ÷ 10² = 10^{5-2} = 10³

∴ The number of passengers = 0.07 x 10³

∴ The number of passengers = 0.07 × 1000

∴ The number of passengers = 70

The blimp can carry 70 passengers

3 0
3 years ago
A 1010​-sided die is rolled. the​ die's faces are labeled with the numbers 1 through 1010​, and each number is equally likely to
alina1380 [7]
It sounds like the problem should read: "A 10-sided die is rolled. The die's faces are labeled with the numbers 1 through 10, and each number is equally likely to be rolled. Find the probability of rolling an even number. What is the probability of rolling an even number?"

If that is the case, then the answer as a fraction is 1/2 which is 0.5 in decimal form

How did I get this answer? There are 10 values (1, 2, 3, 4, 5, 6, 7, 8, 9, 10). Of that list, five values are even (2, 4, 6, 8, 10). Divide the two values
5/10 = 1/2 = 0.5
8 0
3 years ago
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