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fiasKO [112]
3 years ago
10

The diameter of a circle of 255 π is:

Mathematics
1 answer:
melisa1 [442]3 years ago
6 0

Hello from MrBillDoesMath!

Answer:   30


Discussion:

The area of a circle of radius R is given by the formula  

Pi * R^2

We are given that  the area is 225 Pi (Not 255 Pi as stated by the author)

Pi * R^2 = 225 * Pi

Divide both sides by Pi :

R^2 = 225  --->  R = 15

The diameter is twice the radius so the diameter = 30.


Regards, MrB

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2) Multiply<br> (6x+3)(3x2+8x+5)<br> Help, please shore me how to do this!
Brrunno [24]

Answer:

Result :

3 • (2x + 1) • (x + 1) • (3x + 5)

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2".

STEP1

Equation at the end of step 1

(6x + 3) • ((3x2 + 8x) + 5)

STEP2

STEP3

Pulling out like terms

3.1 Pull out like factors :

6x + 3 = 3 • (2x + 1)

Trying to factor by splitting the middle term

3.2 Factoring 3x2 + 8x + 5

The first term is, 3x2 its coefficient is 3 .

The middle term is, +8x its coefficient is 8 .

The last term, "the constant", is +5

Step-1 : Multiply the coefficient of the first term by the constant 3 • 5 = 15

Step-2 : Find two factors of 15 whose sum equals the coefficient of the middle term, which is 8 .

-15 + -1 = -16

-5 + -3 = -8

-3 + -5 = -8

-1 + -15 = -16

1 + 15 = 16

3 + 5 = 8 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 3 and 5

3x2 + 3x + 5x + 5

Step-4 : Add up the first 2 terms, pulling out like factors :

3x • (x+1)

Add up the last 2 terms, pulling out common factors :

5 • (x+1)

Step-5 : Add up the four terms of step 4 :

(3x+5) • (x+1)

Which is the desired factorization

sorry if its too much...

7 0
3 years ago
give an example of a repeating decimal where two digits repeat. explain why your number is a rational number
Mama L [17]
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5 0
3 years ago
The sum of three and seven times a number is -74. What is the number?
Dima020 [189]
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➷ Form an equation with 'x' as the unknown number

7x + 3 = -74

Subtract 3 from both sides:

7x = -77

Divide both sides by 7:

x = -11

The number is -11

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7 0
3 years ago
Read 2 more answers
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Vladimir79 [104]
Refer to the graph shown below. It confirms that points A, B and P are
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Calculate ratio a/b.
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What is the measure of ∠x?
Archy [21]

Answer:

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Step-by-step explanation:

Hi there.

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We know that if this is a straight angle, that x+66=180.

Therefore, m∠x = 114 degrees.

Hope this helps! :^)

5 0
3 years ago
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