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3 years ago

Prove that the two circles shown below are similar.

Mathematics

2 answers:

cestrela7 [59]3 years ago

6 0

Answer:

Well we need to find the area of circles B and D

We’ll use the following formula,

$\pi r^2$

The radius of the

is circle is 4 units,

so we plug 4 into $\pi r^2$ .

pi(4)^2

4*4 =16

16 * pi = 50.2654824574

The answer is 50 rounded to the nearest whole number.

The radius is 2,

pi(2)^2

2*2 = 4

pi * 4 = 12.5663706144

Or 13 Rounded to the nearest whole number.

So now we do 50 ÷ 13 = 3.84615384615

Which is about 4 rounded to the nearest whole number.

<em>The two circles are similar just that circle D is multiplied by a scale factor of 4 to get circle B</em>

jolli1 [7]3 years ago

5 0

Answer:

They have a scale factor of 2

They are both the same shape

The big circle has a radius of 4 and the small circle has a radius of 2. You divide the bigger circle by the smaller circle. 4/2=2

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Can someone plz solve 2(2x -5) in distributive property

Reika [66]

Answer:

4x-10

Step-by-step explanation:

Multiply both by 2, 2x times 2 is 4x, and 5 times 2 is 10, so it becomes 4x-10.

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3 years ago

Please answer it correctly and I'll mark it

kirza4 [7]

Answer:

Step-by-step explanation:

1) a very poor question indeed. It has at least two possible solutions

c = 3x + 2 or c = 3(x + 2)

when x = 2

c = 3(2) + 2 = 8 or c = 3(2 + 2) = 12

when x = 5

c = 3(5) + 2 = 17 or c = 3(5 + 2) = 21

y = x + 2

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y = 2 + 2 = 4

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2 years ago

A bag contain 3 black balls and 2 white balls.

Troyanec [42]

Answer:

Step-by-step explanation:

Total number of balls = 3 + 2 = 5

$Probability \ of \ taking \ 2 \ black \ ball \ with \ replacement\\\\ = \frac{3C_1}{5C_1} \times \frac{3C_1}{5C_1} =\frac{3}{5} \times \frac{3}{5} = \frac{9}{25}\\\\$

$Probability \ of \ one \ black \ and \ one\ white \ with \ replacement \\\\= \frac{3C_1}{5C_1} \times \frac{2C_1}{5C_1} = \frac{3}{5} \times \frac{2}{5} = \frac{6}{25}$

Probability of at least one black( means BB or BW or WB)

$=\frac{3}{5} \times \frac{3}{5} + \frac{3}{5} \times \frac{2}{5} + \frac{2}{5} \times \frac{3}{5} \\\\= \frac{9}{25} + \frac{6}{25} + \frac{6}{25}\\\\= \frac{21}{25}$

Probability of at most one black ( means WW or WB or BW)

$=\frac{2}{5} \times \frac{2}{5} + \frac{3}{5} \times \frac{2}{5} \times \frac{2}{5} + \frac{3}{5}\\\\= \frac{4}{25} + \frac{6}{25} + \frac{6}{25}\\\\=\frac{16}{25}$

a) Probability both black without replacement

$=\frac{3}{5} \times \frac{2}{4}\\\\=\frac{6}{20}\\\\=\frac{3}{10}$

b) Probability of one black and one white

$=\frac{3}{5} \times \frac{2}{4}\\\\=\frac{6}{20}\\\\=\frac{3}{10}$

c) Probability of at least one black ( BB or BW or WB)

$=\frac{3}{5} \times \frac{2}{4} + \frac{3}{5} \times \frac{2}{4} + \frac{2}{5} \times \frac{3}{4}\\\\=\frac{6}{20} + \frac{6}{20} + \frac{6}{20} \\\\=\frac{18}{20} \\\\=\frac{9}{10}$

d) Probability of at most one black ( BW or WW or WB)

$=\frac{3}{5} \times \frac{2}{4} + \frac{2}{5} \times \frac{1}{4} + \frac{2}{5} \times \frac{3}{4}\\\\=\frac{6}{20} + \frac{2}{20} + \frac{6}{20} \\\\=\frac{14}{20}\\\\=\frac{7}{10}$

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3 years ago

What is the quotient of 3,744 divide by 16 ? Show your work

Lana71 [14]

Steps 1. Do long division so 16 on out and 3744 on inside 2. Find how many 16s go in 37 only 1 so 16 under 37 add two 0s and and on the outside on the side it's 100. 3. Then u subtract 3700 from 1600 and get 2144 4. Then only one 16 goes in 21 so it's another hundred and then subtract 2144 from 1600 and get 544. 5. Then find how many 16 go into 54 only 3 then add a 0 on the 3 and after subtraction get 480 after that subtract 544 from 480 and get 64 6. four 16 go into 64 and then u get 234 as a answer

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3 years ago

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