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2 years ago

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Circle A is shown. Line segments C A and T A are radii. The length of T A is 11. Major angle C A T is 217 degrees. Segment C A T

of the minor angle is shaded. Use the diagram to answer the questions. What is the area of the circle in terms of pi? π units² What is the measure of the central angle of the shaded sector? ° What is the area of the shaded sector rounded to the nearest whole number? units²

2 answers:

tigry1 [53]2 years ago

4 0

Answer:

1.) 121

2.) 143

3.) 151

11111nata11111 [884]2 years ago

3 0

Answer:

121, 143 ,and 151

Step-by-step explanation:

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Suppose the area of a circle is 254.4696 square inches. Whats the radius of the circle? Use pie=3.1416. A. 18 in B. 81 in. C. 9

andrezito [222]

Answer:

radius = 9 inches

Step-by-step explanation:

$Area = \pi r^{2}$

r = radius

Area = 254.4696 square inches

so we have:

$r^{2} = \frac{A}{\pi} \\\\r = \sqrt{\frac{A}{\pi}} \\\\r = \sqrt{\frac{254.4696}{3.1416}} \\\\r = \sqrt{81}$

so we have: r = 9 inches

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2 years ago

The population of a town can be modeled by the regression equation y = 20,000(1.03x). Which is the best prediction for the popul

bixtya [17]

Answer:

The best prediction for the population in year 25 is $41,876\ people$

Step-by-step explanation:

we have a exponential function of the form

$y=a(b^{x})$

where

a is the initial value

b is the base

In this problem

$a=20,000\ people$

$b=1.03$

$b=1+r$

$r=b-1=1.03-1=0.03$

$r=3\%$

so

$y=20,000(1.03^{x})$

For $x=25\ years$

substitute

$y=20,000(1.03^{25})$

$y=41,875.56\ people$

Round up

$y=41,876\ people$

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2 years ago

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Suppose that a new company has five employees: Zamora, Agraharam, Smith, Chou, and Macintyre. Each employee will assume one of s

Sliva [168]

Answer:

Step-by-step explanation:

Before constructing bipartite graph, we need to have the responsibilities of each person sorted out first. I listed it in dash form for easy reading

Zamora

- planning,

- sales, marketing

- industry relations

Agraharam:

- planning

- development

Smith

- publicity,

- sales,

- industry relations

Chou

- planning,

- sales,

- industry relations

Macintyre

- planning,

- publicity,

- sales,

- industry relations

After we are done with that, we can start constructing the bipartite graph by making two column or two rows of group, one is for the person and the other is for responsibilities.

Later, we start match up each person to the responsibilities that assigned to them.

I attached the bipartite graph for this question as well.

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2 years ago

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The number of books borrowed from a library each week follows a normal distribution. When a sample is taken for several weeks, t

dexar [7]

Answer:

2.28%

Step-by-step explanation:

Let X be the number of books borrowed from a library each week

Given that X is normal with mean = 190 and std dev = 30

Thus Z score would be

Z= $\frac{x-190}{30}$

Required probability or chance = P(X>250)

=P( $z>\frac{250-190}{30}$

=P(Z>2)

=0.5-0.4772

=0.0228

=2.28%

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2 years ago

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At the county fair, the operator of a game guesses a contestant’s weight. For each pound the operator’s guess differs from the c

BartSMP [9]

Answer: $| x - \frac{15}{3} | = 120$ or $\frac{1}{3}| 3 x - 15|= 120$ or $| 3x - 15| = 360$ or $| x - 5 | = 120$

Step-by-step explanation:

Since, According to the question,

For each pound the operator’s guess differs from the contestant’s weight, the contestant will receive $3.

And, If a contestant weighing x pounds received $15

Then the guessed weight of contestant = $| x - \frac{15}{3} |$

But, Again according to the question,

The guessed weight is 120 pounds,

Thus, $| x - \frac{15}{3}|= 120$

⇒ $\frac{1}{3}| 3 x - 15|= 120$

⇒ $| 3x - 15|= 3\times 120$ (by multiplying 3 on both sides)

⇒ $| 3x - 15|= 360$

⇒ $3| x - 5|= 360$

⇒ $| x - 5|= 120$ ( On dividing both sides by 3 )

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2 years ago

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