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3 years ago

A circle has a circumference of 22 cm. What is the diameter, area, and radius. Round to the nearest tenth.

1 answer:

5 0

The circumference is 22
Circumference = 2πr
22 = 2πr
It's the same thing as π*diameter
22 = πd
divide both sides by π to isolate d
d, or the diameter, equals 7.0028175 cm, or approx. 7 cm
the radius is half of the diameter so it is 3.50140875, or approx. 3.5 cm
the area of the circle is
A = π r²
A = π (3.5)²
A = π (12.25)
A = 38.4845
The area equals approximately 38.5 cm^2.

Hope this helps!

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Nathan usually drinks 36 ounces of water per day. He reads that he should drink 64 ounces per day. If he starts drinking 64 ounc

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3 years ago

(a^3+14a^2+33a-20)\(a+4)

Oksi-84 [34.3K]

Perhaps you meant (a^3+14a^2+33a-20) / (a+4), for division by (a+4).

Do you know synthetic division? If so, that'd be a great way to accomplish this division. Assume that (a+4) is a factor of a^3+14a^2+33a-20; then assume that -4 is the corresponding root of a^3+14a^2+33a-20.

Perform synth. div. If there is no remainder, then you'll know that (a+4) is a factor and will also have the quoitient.

-4 / 1 14 33 -20
___ -4_-40 28___________
1 10 -7 8

Here the remainder is not zero; it's 8. However, we now know that the quotient is 1a^2 + 10a - 7 with a remainder of 8.

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3 years ago

A board game for $29.95 at 8% sales tax

son4ous [18]

$27.55

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3 years ago

Read 2 more answers

A real estate agent is showing homes to a prospective buyer. There are ten homes in the desired price range listed in the area.

Citrus2011 [14]

Answer:

0.48% probability that all four are new

Step-by-step explanation:

The homes are chosen "without replacement", which means that after a home is visited, it is not elegible to be visited again. So we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

Total of 10 homes, so N = 10.

We want 4 new, so x = 4.

In total, there are 4 new, so k = 4.

Sample of four homes, so n = 4.

Then

$P(X = 4) = h(4,10,4,4) = \frac{C_{4,4}*C_{6,0}}{C_{10,4}} = 0.0048$

0.48% probability that all four are new

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3 years ago