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2 years ago

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

Mathematics

3 answers:

Setler [38]2 years ago

6 0

I think that B is correct

Whitepunk [10]2 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]2 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

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we believe that 42% of freshmen do not visit their counselors regularly. For this year, you would like to obtain a new sample to

Maksim231197 [3]

Answer:

A sample of 1077 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

42% of freshmen do not visit their counselors regularly.

This means that $\pi = 0.42$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

How large of a sample size is required?

A sample size of n is required, and n is found when M = 0.035. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.035 = 2.327\sqrt{\frac{0.42*0.58}{n}}$

$0.035\sqrt{n} = 2.327\sqrt{0.42*0.58}$

$\sqrt{n} = \frac{2.327\sqrt{0.42*0.58}}{0.035}$

$(\sqrt{n})^2 = (\frac{2.327\sqrt{0.42*0.58}}{0.035})^2$

$n = 1076.8$

Rounding up:

A sample of 1077 is required.

3 0

2 years ago

Lily sells loose tea for $0. 71 per gram. If one gram is equivalent to 0. 035273 ounces, how much does it cost to buy 0. 45 poun

Dominik [7]

Unit conversion is a way of converting some common units into another. The cost of buying 0.45 pounds of Lily's tea is $144.93.

<h3>What is Units conversion?</h3>

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

As it is given that one gram is equivalent to 0.035273 ounces, while 1 pound is equal to 16 ounces. Therefore, if we convert 0.45 pounds to grams,

Pounds to Ounces

$\rm 1\ pound = 16\ ounces\\\\0.45\ pounds = 0.45 \times 16 = 7.2\ ounces$