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sergey [27]
3 years ago
5

A circle has a circumference of 50.24 units. What is the radius of the circle?

Mathematics
1 answer:
trapecia [35]3 years ago
4 0

Answer:

8 units

Step-by-step explanation:

The circumference of a circle is given by

C = 2*pi*r

50.24 = 2 * 3.14 *r

50.24 = 6.28 r

Divide each side by 6.28

50.24/6.28 = 6.28r/6.28

8 =r

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a positive number is 5 times less than another positive number. Six times the lesser number plus 3 times the greater is 3. Find
IgorLugansk [536]
<h2>Greetings!</h2>

Answer:

One number is \frac{5}{7} and the other number is \frac{1}{7}

Step-by-step explanation:

Let x be the smaller number and y be the bigger number.

x = x

y = 5x

6x + 3y = 3

6x + (3 * 5x) = 3

6x + 15x = 3

(÷3)

2x + 5x = 1

7x = 1

x = \frac{1}{7}

6x + 3y = 3

6(\frac{1}{7}) + 3y = 3

\frac{6}{7} + 3y = 3

3y = 3 - \frac{6}{7}

3y = \frac{15}{7}

Divide both sides by 3 to get 1y:

y = \frac{5}{7}

So one number is \frac{5}{7} and the other number is \frac{1}{7}


<h2>Hope this helps!</h2>
5 0
3 years ago
Question 6
marin [14]

Answer:

18 miles per hour is an outlier

the outlier decreases the mean speed

Step-by-step explanation:

the low number of 18 is way different from the other numbers being in the 30's and 40's

this 18 will bring the mean of all the numbers own because it is a smaller number.

8 0
3 years ago
Complete the square to transform the quadratic equation into the form
faltersainse [42]

The square of a binomial is written like

(x\pm a)^2 = x^2\pm 2ax + a^2

In your case, you have 2ax=-8x, which implies a=-4

So, we want to write

(x-4)^2 = x^2-8x+16

But our left hand side is

x^2-8x-10

If we add 26 to both sides, we have

x^2 - 8x - 10 +26 = 18+26 \iff x^2-8x+16=44 \iff (x-4)^2=44

7 0
3 years ago
The ratio (by volume) of salt and sugar in a certain mixture is 4 to 8. If the total volume of the solution is 300 cubic feet, w
Tatiana [17]
You will use the ratio 4:8 to create a part to part to whole ratio.

First simplify 4:8 to 1:2, then make it 1:2:3 (Salt:Sugar:Total).

Use this to find the volume of sugar.  2 sugars for every 3 total would be equivalent to 200 cubic feet of sugar for every 300 total cubic feet.
8 0
3 years ago
HELP WILL GIVE BRANLIEST!
Natali5045456 [20]

Answer:

Since it is vertical angles, 4x - 12 = 88.

Answer is 25

Step-by-step explanation:

88 + 12 = 100

100 / 4 = 25

6 0
3 years ago
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