1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lozanna [386]
3 years ago
6

Part I: Measuring Parts of a Circle

Mathematics
1 answer:
cluponka [151]3 years ago
4 0

Answer:

case a) The approximate circumference of circle is 5.9\ units and the ratio of circumference to Diameter is \frac{C}{D}=2.95

case b) The approximate circumference of circle is 6\ units and the ratio of circumference to Diameter is \frac{C}{D}=3

case c) The approximate circumference of circle is 6.24\ units and the ratio of circumference to Diameter is \frac{C}{D}=3.12

Step-by-step explanation:

we know that

The approximate circumference of each circle, is equal to the perimeter of each inscribed polygon

case A) the figure is an inscribed pentagon

step 1

Find the approximate circumference of circle

The perimeter of the pentagon is equal to

P=5s

where

s=1.18\ units

substitute

P=5(1.18)=5.9\ units

therefore

The approximate circumference of circle is 5.9\ units

step 2

Find the ratio of circumference to Diameter

we know that

The radius is half the diameter so

D=2r=2(1)=2\ units

The ratio is equal to

\frac{C}{D}=5.9/2=2.95

case B) the figure is an inscribed hexagon

step 1

Find the approximate circumference of circle

The perimeter of the hexagon is equal to

P=6s

where

s=1\ units

substitute

P=6(1)=6\ units

therefore

The approximate circumference of circle is 6\ units

step 2

Find the ratio of circumference to Diameter

we know that

The radius is half the diameter so

D=2r=2(1)=2\ units

The ratio is equal to

\frac{C}{D}=6/2=3

case C) the figure is an inscribed dodecahedron

step 1

Find the approximate circumference of circle

The perimeter of the dodecahedron is equal to

P=12s

where

s=0.52\ units

substitute

P=12(0.52)=6.24\ units

therefore

The approximate circumference of circle is 6.24\ units

step 2

Find the ratio of circumference to Diameter

we know that

The radius is half the diameter so

D=2r=2(1)=2\ units

The ratio is equal to

\frac{C}{D}=6.24/2=3.12

<em>Conclusion</em>

We  know that

The exact value of the ratio \frac{C}{D} is equal to

\frac{\pi D}{D}=\pi

The approximate value of the circumference will be closer to the real one when the number of sides of the inscribed polygon is greater

You might be interested in
For f(x) = 2x+1 and g(x)=x*2-7 <br> find (f/g) (x).
Lostsunrise [7]
(f/g)(x) = f(x)/g(x)
So the answer is C
I hope it will help
7 0
2 years ago
A large chocolate shake uses 8/9 of a pint of milk if the medium shake takes 1/7 of the amount of milk the large uses how much d
Dvinal [7]

Answer:

1/2 probaly

Step-by-step explanation:

8 0
3 years ago
What is the range of the function y=cot(x)?
dimulka [17.4K]

Answer:

(−∞,+∞)

Step-by-step explanation:

The cotangent function can take up any values depending on the value of

x

, the independent variable.

And thus, the range

(

−

∞

,

+

∞

)

is justified.

The domain is all real numbers other than integral multiples of

π

where, the function is not defined.

5 0
3 years ago
Read 2 more answers
Help me answer it pelase
Lady bird [3.3K]

Answer:

No

Step-by-step explanation:

9=5(-5)-4

9=-10-4

9=-14

4 0
3 years ago
Marcus asked 10 people at a juggling festival what age they were when they started to juggle
Scrat [10]

Question

Marcus asked 10 people at a juggling festival what age they were when they started to juggle. Which interval contains the median age?

Answer:

See Explanation

Step-by-step explanation:

Given

n = 10

Required

The median interval

The question is incomplete, as the required data is not given.

To solve this question, I will use the following assumed dataset.

Age:17\ 17\ 18\ 20\ 21\ 22\ 22\ 24\ 28\ 28

First, calculate the median position.

Median = \frac{n+1}{2}\ th

Median = \frac{10+1}{2}\ th

Median = 5.5\ th

This implies that the median is the mean of the 5th and 6th data

So, we have the interval to be.

Median = [5th, 6th]

Median=[21,22]

<em>Generally, the median of 10 data set is located at interval 5 to 6</em>

6 0
2 years ago
Other questions:
  • 9. Which of the following is TRUE? ( 5 points) a. For a data set with mean = 25 pounds and Standard Deviation = 2 pounds then 95
    8·1 answer
  • The mean time it takes to walk to the bus stop is 8 minutes (with a standard deviation of 2 minutes) and the mean time it takes
    11·1 answer
  • Y = -2x<br><br> Please help
    15·1 answer
  • X − 0.5(k − 3x) = 1.5x − k In terms of k, what does x equal?
    13·1 answer
  • What is the length of the diagonal (d) is the solid below
    11·1 answer
  • Use the system of equations. Please show your steps and how you solved it!
    5·1 answer
  • The Seniors at three high schools were surveyed about their plans after graduation. The following table shows the responses, cla
    7·1 answer
  • NEED HELP ASAPPPPPPP
    15·1 answer
  • You need a 35% alcohol Solution on hand you have a 270 mL of a 30% alcohol mixture you also have 80% alcohol mixture how much of
    8·1 answer
  • 1.1 Given the linear pattern: 5 ; -2 ; -9 ..... -289
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!