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Alexxx [7]
2 years ago
9

Find the circumference of the larger circle if the area of one of the smaller circles is 48 pi in^2.

Mathematics
2 answers:
Alik [6]2 years ago
8 0

Step-by-step explanation:

Given two circa inscribed side by side inside a big circle, it is notice that the internal two circle are identical and diameter of the one the internal circles is equal to the radius of the big circle

So, we are given the area of one of the small circle, so from their we can find the radius of the small circle.

Area of small circle

A = 48π in²

Area of a circle is given as πr²

A = πr²

48π = πr²

Divide both side by π

48 = r²

Take Square root of both sides

r = √48 = √(16 × 3)

r = 4√3 in

Then, the diameter of the small circle is

d = 2r = 2 × 4√3

d = 8√3

So, the radius of the big circle is

R = d = 8√3

So, we want to find the perimeter of the big circle

The perimeter of a circle is calculated using

Perimeter = 2πr

P = 2πR

P = 2π × 8√3

P = 16π√3 in

So the correct option is C

P = 16√3 π in.

notsponge [240]2 years ago
3 0

Answer:

C. 16√3π in.

Step-by-step explanation:

Circumference of a circle = 2πr where

r is the radius of the circle.

Given the area of one of the smaller circle to be 48π in², we can get the radius of one of the smaller circle.

If A = πr²

48π = πr²

r² = 48

r = √48 in

The radius of one of the smaller circle is √48.

To get the circumference of the larger circle, we need the radius of the larger circle. The radius R of the larger circle will be equivalent to the diameter (2r) of one of the smaller circle.

R = 2r

R = 2√48 inches

Since C = 2πR

C = 2π(2√48)

C = 4√48π in

C = 4(√16×3)π in

C = 4(4√3)π in

C = 16√3π in

Thw circumference of the larger circle is 16√3π in.

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1. Divide the target number of shirts, 12,600 by the company's rate of making the shirts. That is,
                                 number of hours = 12,600 shirts/ (1200 shirts/6 hours)
                                                               = 63 hours
2. Determine the number of workdays for them to complete the shirts by dividing 63 hours by 9 hours/workday. This will give us an answer of 7 workdays. 
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3 years ago
If you know it please tell me it would help a lot
geniusboy [140]
7n \le 21

Divide both sides by 7.

n \le 3

n must be less than or equal to 3. n can be 3 or any number under 3.

For example, n can be 1, 2, 3.
5 0
3 years ago
Enter your answer and show all the steps that you use to solve this problem in the space provided.
rodikova [14]

Answer:

\boxed{f(x) - g(x) = 2x(2x^{2} + x + 1)}

Step-by-step explanation:

f(x) = 9x³ + 2x² - 5x + 4; g(x)=5x³ -7x + 4

Step 1. Calculate the difference between the functions

(a) Write the two functions, one above the other, in decreasing order of exponents.

ƒ(x) = 9x³ + 2x² - 5x + 4

g(x) = 5x³           - 7x + 4

(b) Create a subtraction problem using the two functions

        ƒ(x) =    9x³ + 2x² - 5x + 4

      -g(x) =  <u>-(5x³           - 7x + 4) </u>

ƒ(x) -g(x)=

(c). Subtract terms with the same exponent of x

        ƒ(x)   =    9x³ + 2x² - 5x + 4

      -g(x)  =   <u>-(5x³          -  7x + 4) </u>

ƒ(x) -g(x) =      4x³ + 2x² + 2x

Step 2. Factor the expression

y = 4x³ + 2x² + 2x

Factor 2x from each term

y = 2x(2x² + x + 1)

\boxed{f(x) - g(x) = 2x(2x^{2} + x + 1)}

5 0
2 years ago
Can you draw an isosceles triangle with only one 80 degree angle?
aev [14]

Answer:

The triangle is 50,50 80

Step-by-step explanation:

The three angles of a triangle equal 180 degrees

We only want one 80 degree angle.  That means the other two angles have to be the same, since it is an isosceles triangle.  Call the other angle x

x+x+80 = 180

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Subtract 80 from each side

2x+80-80=180-80

2x =100

Divide by 2

2x/2=100/2

x = 50

Each of the other angles in the triangle would have to equal 50 degrees

The triangle is 50,50 80

6 0
3 years ago
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