All categories

3 years ago

Which one of the following is a true statement about a circle inscribed in a regular polygon?

Mathematics

3 answers:

Setler [38]3 years ago

6 0

I think that B is correct

Whitepunk [10]3 years ago

5 0

Solution :

Given, a circle inscribed in a regular polygon.

From the given different statements,

A. The sides of the polygon are chords of the circle.

B. The sides of the polygon are tangents of the circle.

C. The vertices of the polygon are on the circumference of the circle.

D. The area of the circle is equal to the area of the polygon.

Since, the Circle is inscribed inside the regular polygon, the sides of the polygon must be touching the circle. When we have such an arrangement then those sides must be tangent to the circle. So the sides of the polygon must be a tangent.

Hence, the sides of the polygon are tangents to the circle.

Option B is true and others are false

Serggg [28]3 years ago

5 0

Solution:

Given, a circle inscribed in a regular polygon.

From the given different statements,

A. The sides of the polygon are chords of the circle.

B. The sides of the polygon are tangents of the circle.

C. The vertices of the polygon are on the circumference of the circle.

D. The area of the circle is equal to the area of the polygon.

Hence, the sides of the polygon are tangents to the circle.

Option B is true and others are false

You might be interested in

Which numbers multiply to negative 72 and add to 21?

8_murik_8 [283]

2 IDk funny Haha

Answered by London

7 0

2 years ago

you generate 3 random whole numbers from 1 to 10. Is it unlikely or even impossible that all the numbers could be 10?

gizmo_the_mogwai [7]

It is unlikely but possible to generate the same number 3 times because each number has the same probability of being generated at random.
hope this was helpful.

5 0

3 years ago

Read 2 more answers

Sam earned $450 during winter vacation. He needs to save $180 for a camping trip over spring break. He can spend the remainder o

kherson [118]

$180 taken away from $450 is $220. the rest i'm not quite sure because there wasn't a given price for the music.

3 0

3 years ago

1) A furlong is 1/8 of a mile. What part of a mile is 6 furlongs?

Semmy [17]

Answer:

6/8 of a mile,

Step-by-step explanation:

if one furlong is 1/8 of a mile, the 6 shall be 1/8 added to itself 6 times, therefore it shall be 6/8.

5 0

3 years ago

Read 2 more answers

Jackson goes to the gym 0, 2, or 3 days per week, depending on work demands. The expected value of the number of days per week t

valina [46]

For a probability distribution the expected value is the summation of product of probabilities with their respective data values. Let x be the probability that Jackson goes gym for 2 days and y be the probability that he goes gym for 3 days.

For the given case we have following values and their probabilities:

0 : 0.1

2 : x

3 : y

So the expected value will be = 0(0.1) + 2(x) + 3(y)

Expected value is given to be 2.05. So we can write the equation as:

2x + 3y = 2.05 (Equation 1)

Also for a probability distribution, the sum of probabilities must always equal to 1. So we can set up the second equation as:

0.1 + x + y = 1

x + y = 0.9 (Equation 2)

From Equation 2 we can write the value of x to be x = 0.9 - y. Using this value in equation 1, we get:

2(0.9 - y) + 3y = 2.05

1.8 - 2y + 3y = 2.05

1.8 + y = 2.05

y = 0.25

Using the value of y in equation 2 we get value of x to be 0.65

Therefore we can conclude that:

The probability that Jackson goes to gym for 2 days is 0.65 and the probability that he goes to gym for 3 days is 0.25

6 0

3 years ago

Read 2 more answers