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3 years ago

The area of a circle is 25π in². What is the circumference, in inches? Express your answer in terms of \piπ.

Mathematics

2 answers:

Morgarella [4.7K]3 years ago

8 0

Answer:

10π

Step-by-step explanation:

A = πr^2

C = 2πr

$\sqrt{25}$ = 5
5 = r
2 * 5 = 10
C = 10π

Elza [17]3 years ago

6 0

The answer is 10 Pi. Sorry I can’t show work

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7 line tshirt company manufactures t-shirts and sells them online.The company has a model where the cost C, in dollars to make x

bonufazy [111]

Answer:

The company must sell at least 2 shirts to break even.

Step-by-step explanation:

Cost:

The cost is given by the following equation:

$C = \frac{40}{30x+20} + 20 = \frac{4x}{3} + 20$

Revenue:

The revenue is given by the following equation:

$R = 15x$

How many t shirts must the company sell to break even?

Breakeven point is when the revenue is the same as the costs. So

$\frac{4x}{3} + 20 = 15x$

$15x - \frac{4x}{3} = 20$

$\frac{45x}{3} - \frac{4x}{3} = 20$

Multiplying everything by 3

$45x - 4x = 60$

$41x = 60$

$x = \frac{60}{41} = 1,...$

Since you cant make a decimal value of shirts

The company must sell at least 2 shirts to break even.

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7 0

3 years ago

How to solve: a parade traveled 4 miles in 2 hours. how far did tge parade travel per minute?

jek_recluse [69]

There's a really easy way to convert any units to other units.

Right now, we have the fraction (4 miles) / (2 hours).

We want to find a fraction that's exactly equal to that one,
but has the units of (miles/minute) or maybe (feet/minute).

Just take the original fraction, and multiply it by some other
fractions.

Each fraction you multiply it by must have the value of ' 1 ' so
you don't change the value of the original fraction. But it can
have different units, that cancel with other units to eventually
give you the units you want.

(4 miles / 2 hours) times (1 hour / 60 minutes)

The second fraction is equal to ' 1 ', because the top and the bottom
have the same value ... 1 hour is the same thing as 60 minutes.

Multiply the fractions: (4 miles x 1 hour) / (2 hour x 60 minutes)

Now you can cancel 'hour' from the top and the bottom, and you have

   (4 miles x 1) / (2 x 60 minutes)

   = (4 miles) / (120 minutes)

   = (4 / 120) mile/minute = 0.0333... mile / minute .

Let's do it again, go a little farther, and get an answer that
might mean more and feel more like an answer.

   (4 miles) / (2 hours) x (5280 feet / mile) x (1 hour / 60 minutes)

The 2nd and 3rd fractions both have the value of ' 1 ', because
the top is equal to the bottom.

Multiply all three fractions:

   (4 miles x 5280 feet x 1 hour) / (2 hours x 1 mile x 60 minutes)

You can cancel both 'mile' and 'hour' out of the top and bottom,
and look what you have left:

   (4 x 5280 feet x 1) / (2 x 1 x 60 minutes)

= (4 x 5280) / (2 x 60) feet / minutes

= (21,120 / 120) feet/minute =    176 feet per minute

3 0

3 years ago

Read 2 more answers

What is the name of the segment inside the large triangle? (had to ask again because i forgot the answer choices with my choice)

Greeley [361]

The answer is Angle Bisector.
I think this because if it were to be perpendicular the triangle would have to be congruent in SSS theorem or other.
I hope this helps!

3 0

3 years ago

Read 2 more answers

A diagnostic test for a disease is such that it (correctly) detects the disease in 90% of the individuals who actually have the

Ne4ueva [31]

Answer:

0.2177 = 21.77% conditional probability that she does, in fact, have the disease

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Test positive

Event B: Has the disease

Probability of a positive test:

90% of 3%(has the disease).

1 - 0.9 = 0.1 = 10% of 97%(does not have the disease). So

$P(A) = 0.90*0.03 + 0.1*0.97 = 0.124$

Intersection of A and B:

Positive test and has the disease, so 90% of 3%

$P(A \cap B) = 0.9*0.03 = 0.027$

What is the conditional probability that she does, in fact, have the disease

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.027}{0.124} = 0.2177$

0.2177 = 21.77% conditional probability that she does, in fact, have the disease

3 0

3 years ago

Factories 24x^2-41x+12

andriy [413]

Answer:

(3x - 4)(8x - 3)

Step-by-step explanation:

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 24 × 12 and sum = - 41

The required factors are - 32 and - 9

Use these factors to split the x- term

24x² - 32x - 9x + 12 ( factor the first/second and third/fourth terms )

= 8x(3x - 4) - 3(3x - 4) ← factor out (3x - 4) from each term

= (3x - 4)(8x - 3) ← in factored form

5 0

3 years ago