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Anuta_ua [19.1K]
2 years ago
5

Circle X has radius r X = 6 units and circumference C X = 12 π units. Circle Y has circumference C Y = 6 units. Which equation i

s true? rY = rX rY = 2πrX rY = rY =
Mathematics
1 answer:
slega [8]2 years ago
6 0

Answer:

ry=\frac{rx}{2\pi }

Step-by-step explanation:

we know that

The circumference of a circle is equal to

C=2\pi r

we have

<em>Circle X</em>

rx=6\ units

Cx=12\pi\ units

<em>Circle Y</em>

Cy=6\ units

Find the radius ry

we know that

Cy=2\pi ry

substitute the value of Cy

6=2\pi ry

ry=\frac{6}{2\pi }

Remember that the value of rx is rx=6\ units

substitute

ry=\frac{rx}{2\pi }

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Please could you explain this step by step I’m really stuck.
allochka39001 [22]

Answer:

x = -2.5
x = 2

Step-by-step explanation:

Hello!

We can remove the denominators by multiplying everything by it.

Solve:

  • \frac{5}{x + 3} + \frac4{x + 2} = 2
  • 5 + \frac{4(x + 3)}{x + 2} = 2(x + 3)
  • 5 + \frac{4x + 12}{x + 2} = 2x + 6
  • 5(x + 2) +4x + 12 = (2x + 6)(x + 2)
  • 5x + 10 + 4x + 12 = 2x^2 + 6x + 4x + 12
  • 9x + 22 = 2x^2 + 10x + 12

Let's make one side equal to 0.

  • 0 = 2x^2 + x - 10

Solve by factoring, and then the zero product property.

  • 0 = 2x^2 + x - 10\\

Multiply 2 and -10. You get -20. Think of two number that multiply to -20, and add to 1. If we think about the standard form of a quadratic, ax^2 + bx + c, think two numbers that equal "ac" and add up to "b".

  • 0 = 2x^2 - 4x + 5x - 10
  • 0 = 2x(x - 2) + 5(x - 2)
  • 0 = (2x + 5)(x - 2)

Using the zero product property, set each factor to 0 and solve for x.

  1. 2x + 5 = 0
    2x = -5
    x = -5/2 = -2.5
  2. x - 2 = 0
    x = 2

The two answers are x = -2.5, and x = 2.

3 0
2 years ago
Read 2 more answers
Consider the triangle.<br> 45°<br> 80°<br> Find the measure of the unknown third angle.
Elina [12.6K]

Answer:

55 \degree

Step-by-step explanation:

Let the unknown angle be x

As the interior angles in a triangle are added up to 180°

x + 45 + 80 = 180 \\ x + 125 = 180 \\ x = 180 - 125 \\ x = 55 \degree

Hope this helps you.

Let me know if you have any other questions:-)

6 0
3 years ago
Read 2 more answers
I need help with this question please
umka21 [38]

Answer:

C. 9

Step-by-step explanation:

area \: of \: square =  {side}^{2} \\  \therefore \:   {side}^{2}  = 81 \\\therefore \:  side =  \sqrt{81}  \\ \therefore \:  side = 9 \: feet

Hence, side length of square = 9 feet.

7 0
3 years ago
Read 2 more answers
3r+(7+8)/(t-3)when r=4, s=3 and t=5
mars1129 [50]

Answer:

19.5

Step-by-step explanation:

3r+(7+8)/(t-3)

3(4)+(15)/(5-3)

12+(15/2)

12+7.5

19.5

6 0
2 years ago
8xy^3*xy ^8 plsssssssssssssssssssss help
Sindrei [870]

Answer:

x • (x^3 - 3x^2y + 3xy^2 + 7y^3)

Step-by-step explanation:

(8x • (y^3)) +  x • (x - y)^3

2^3xy^3 +  x • (x - y)^3

Evaluate :  (x-y)^3   =   x^3-3x^2y+3xy^2-y^3

Pull out like factors :

x^4 - 3x^3y + 3x^2y^2 + 7xy^3  =

x • (x^3 - 3x^2y + 3xy^2 + 7y^3)

x^3 - 3x^2y + 3xy^2 + 7y^3 is not a perfect cube

4 0
2 years ago
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