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Rom4ik [11]
3 years ago
7

A circle has a radius of 6 cm. What is the area of the circle? (Use 3.14 for pi)

Mathematics
1 answer:
vampirchik [111]3 years ago
5 0

Answer:

113.04 cm²

Step-by-step explanation:

area of a circle= πr²

= 3.14 x 6²

=3.14 x 36

= 113.04 cm²

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Determine whether f(x)=5x+1/x and g(x)= x/5x+1 are inverse functions. Explain how you know.
vladimir1956 [14]
A property of inverse functions is that if f(x) = a, g(a) = x

F(x) = (5x+1)/x
G(x) = x/(5x+1)

Plug in x = 3.
F(3) = 16/3
G(16/3) = 16/83. Since it doesn’t equal 3, it’s not an inverse function
4 0
3 years ago
Read 2 more answers
A) Find the distance of line segment PR. Round answer to the nearest tenth. B) Find the distance around the park (perimeter).
juin [17]

Answer:

A. PR = 80.6 yd

B. Perimeter = 190.6 yd

Step-by-step explanation:

A. Distance between P(10, 50) and R(80, 10):

PR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

PR = \sqrt{(80 - 10)^2 + (10 - 50)^2}

PR = \sqrt{(70)^2 + (-40)^2}

PR = \sqrt{4,900 + 1,600}

PR = \sqrt{6,500}

PR = 80.6 yd (nearest tenth)

B. Distance around the park = Perimeter = PR + PQ + QR

PR = 80.6 yd

PQ = |50 - 10| = 40 yd

QR = |80 - 10| = 70 yd

Perimeter = 80.6 + 40 + 70

Perimeter = 190.6 yd

7 0
2 years ago
Find the area. 7 cm 5 cm 5 cm 22 cm 10 cm 20 cm. HELP PLEASE!!!!​
Sever21 [200]

Answer:

770000

Step-by-step explanation:

im not sure

4 0
2 years ago
Help mmmmeeeeeeeeeeeeeeeeeee<br> will give 50 points!!!!
Likurg_2 [28]

For the above graph :

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4 0
3 years ago
Suppose a regular n-gon is inscribed in a circle of radius r. Diagrams are shown for n=6, n=8, and n = 12. n = 6 n=8 n = 12 a a
m_a_m_a [10]

Answer:If an N-gon (polygon with N sides) has perimeter P, then each of the  

N sides has length P/N.  If we connect two adjacent vertices to the  

center, the angle between these two lines is 360/N degrees, or 2*pi/N  

radians.  (Do you understand radian measure well enough to follow me  

this far?)

The two lines I just drew, plus the side of the polygon between them,  

form an isosceles triangle.  Adding the altitude of the isosceles  

triangle makes two right triangles, and we can use one of them to  

derive the equation

 sin(theta/2) =  s/(2R)

where theta is the apex angle (which I said is 2*pi/N radians), R is  

the length of the lines to the center (the radius of the circumscribed  

circle), and s is the length of the side (which I said is P/N).

Putting those values into the equation, we have

 sin(pi/N) = P/(2NR)

so that

 P = 2NR sin(pi/N)

gives the perimeter of the N-gon with circumradius R.

Can we see a connection between this formula and the perimeter of a  

circle?  The perimeter of the circumcircle is 2*pi*R.  As we increase  

N, the perimeter of the polygon should get closer and closer to this  

value.  Comparing the two, we see

 2NR*sin(pi/N) approaches 2*pi*R

 N*sin(pi/N)   approaches pi

You can check this out with a calculator, using big numbers for N such  

as your teacher's N=1000.  If you calculate the sine of an angle in  

degrees rather than radians, the formula will look like

 N*sin(180/N) --> pi

Step-by-step explanation:

6 0
3 years ago
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