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pashok25 [27]
3 years ago
6

Michelle found the area of a circle as 78.5 〖in〗^2. She used 3.14 for π. What is the radius of the circle? Explain how you found

your answer.
Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
5 0

Answer:

r = 5 inches

Step-by-step explanation:

Area of circle, A=78.5\ in^2

It is required to find the radius of the circle. The area of a circle is given by the formula :

A=\pi r^2

r is radius of the circle

r=\sqrt{\dfrac{A}{\pi}} \\\\r=\sqrt{\dfrac{78.5}{3.14}} \\\\r=5\ \text{inch}

So, the radius of the circle is 5 inches.

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The radius of circle A is three feet less than twice the diameter of circle B. If the sun mmm of the diameters of both circles i
yanalaym [24]

Answer:

Area of Circle A = 1133.54

Circumference of Circle A= 119.32

Step-by-step explanation:

Given: Sum of both circle diameters= 49 feet.

           Circle A radius= Three feet less than twice the diameter of circle B.

Lets assume diameter of Circle B is "x"

∴ Circle A radius (r)= (2x-3)

We know, the diameter of circle is 2r

Diameter of Circle A is 2\times (2x-3)

Next as given sum of both circle diameter is 49 feet.

∴ 2(2x-3)+x= 49\ feet

distributing 2 with 2x and -3

⇒ 4x-6+x= 49

⇒5x-6= 49

Adding both side by 6

⇒5x=55

Cross multiplying both side.

⇒x=\frac{55}{5} = 11

∴ Diameter of circle B is 11 feet.

Next, subtituting the value of x to get the value of radius for Circle A.

Radius of circle A= (2x-3)

⇒ Radius of circle A= (2\times 11-3)= 22-3

∴ Radius of circle A= 19 feet.

Area of circle= \pi r^{2}

Taking π= 3.14

Area of circle A= 3.14\times 19^{2} = 3.14\times 361

∴ Area of circle A= 1133.54

Circumference of circle= 2πr

Circumference of Circle A= 2\times 3.14\times 19= 119.32

∴ Circumference of Circle A= 119.32

3 0
3 years ago
Read 2 more answers
(1)Kamlesh brought a juice bottle of 5 litres. He drank 214 litres
Ainat [17]

Answer:

I think there is a typing error it should be 214 ml

Step-by-step explanation:

1 litre = 1000 ml

5 litre= 5000ml

5000- 214= 4786

hope it helps :)

5 0
3 years ago
Which graph shows the axis of symmetry for the function f(x) = (x – 2)2 + 1? On a coordinate plane, a vertical dashed line at (n
Deffense [45]

The axis of symmetry of f(x) is:

On a coordinate plane, a vertical dashed line at (2, 0) is parallel to

the y-axis ⇒ 2nd answer

Step-by-step explanation:

The vertex form of a quadratic function is f(x) = a(x - h)² + k, where

  • (h , k) are the coordinates of its vertex point
  • The axis of symmetry of it is a vertical line passes through (h , 0)
  • The minimum value of the function is y = k at x = h

∵ f(x) = a(x - h)² + k

∵ f(x) = (x - 2)² + 1

∴ a = 1 , h = 2 , k = 1

∵ The axis of symmetry of f(x) is a vertical line passes through (h , 0)

∴ The axis of symmetry of f(x) is a vertical line passes through (2 , 0)

∵ Any vertical line is parallel to y-axis

∴ The axis of symmetry of f(x) is a vertical line parallel to y-axis and

   passes through (2 , 0)

The axis of symmetry of f(x) is:

On a coordinate plane, a vertical dashed line at (2, 0) is parallel to

the y-axis

   

Learn more:

You can learn more about quadratic function in brainly.com/question/9390381

#LearnwithBrainly

6 0
3 years ago
Read 2 more answers
Erica solved the equation −5x − 25 = 78; her work is shown below. Identify the error and where it was made. (5 points) −5x − 25
Fofino [41]

Answer:

x = -20.6

Step-by-step explanation:

Step 1: −5x − 25 − 25 = 78 − 25

Should be

Step 1: -5x-25+25=78+25

Step 2: -5x=103

Step 3: Divide both sides by -5: x = -20.6

5 0
3 years ago
49/10 as a mixed number
anastassius [24]
4 9/10 is your answer because you first have to divide the numerator by the denominator. this will give you 4, with a remainder of 9. The mix number can be created by using the 4 as the whole number, the 9 as the numerator and the 10 as a denominator. So, 49/10 = 4 9/10. Hope this works!
5 0
3 years ago
Read 2 more answers
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