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2 years ago

What is the ratio of the circumference for two circles with areas of 6pi m^2 and 150 pi m^2

Mathematics

1 answer:

Vlada [557]2 years ago

5 0

Ratio is sqrt(6pi) : sqrt(150pi)
= 4.3416:21.7080

= 1:5

B

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Match each system of equations to its solution represented by an augmented matrix.

SCORPION-xisa [38]

Answer:

Step-by-step explanation:

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2 years ago

If A(3,4) and B(10,4) are the end points of a diameter of circle "O", what is the area of the circle O

ikadub [295]

Answer:

$\large\boxed{\dfrac{49\pi}{4}}$

Step-by-step explanation:

The formula of an area of a circle:

$A=\pi r^2$

r - radius

We have the endpoints of a diameter of a circle.

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the coordinates of the given points A(3, 4) and B(10, 4):

$d=\sqrt{(10-3)^2+(4-4)^2}=\sqrt{7^2+0^2}=\sqrt{7^2}=7$

Therefore we have the length of the diameter: d = 7

We know: d = 2r. Therefore

$r=\dfrac{7}{2}$

Substitute to the formula of an area:

$A=\pi\left(\dfrac{7}{2}\right)^2=\dfrac{49\pi}{4}$

There is no such answer in the answers to choose.

Apparently you have some error in the coordinates of the endpoints.

8 0

2 years ago

Find the mean and median of these data: 2, 5, 13, 15, 19, 21.

Maru [420]

The Arithmetic Mean and Median of the given set of data ( 2, 5, 13, 15, 19, 21 ) are 12.5 and 14 respectively.

<h3>What is Arithmetic mean?</h3>

Arithmetic mean is simply the average of a given set numbers. It is determined by dividing the sum of a given set number by their number of appearance.

Mean = Sum total of the number ÷ n

Where n is number of numbers

Median is the middle number in the data set.

Given the sets;

2, 5, 13, 15, 19, 21

n = 6

Mean = Sum total of the number ÷ n

Mean = (2 + 5 + 13 + 15 + 19 + 21) ÷ 6

Mean = 75 ÷ 6

Mean = 12.5

Median is the middle number in the data set.

Median = ( 13 + 15 ) ÷ 2

Median = 14

Therefore, the Arithmetic Mean and Median of the given set of data ( 2, 5, 13, 15, 19, 21 ) are 12.5 and 14 respectively.

Learn more about arithmetic mean here: brainly.com/question/13000783

#SPJ1

3 0

1 year ago

If 120% is £48, what is 100%

NeX [460]

120% = 120/100 = 1.2

48/1.2 = 40

Answer: 40.

4 0

2 years ago

I can't figure out how to do this question. simplify the imaginary number in the picture above please

Alona [7]

Answer:

-i(6/7)√2

Step-by-step explanation:

$\displaystyle -\sqrt{-\frac{72}{49}}=-\sqrt{-1}\sqrt{\frac{36}{49}}\sqrt{2}\\\\=-i\frac{6}{7}\sqrt{2}$

3 0

3 years ago