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3 years ago

A circle has a diameter of 12 inches. What is its area in terms of π?

Mathematics

1 answer:

Natalka [10]3 years ago

4 0

Answer:

36π

Step-by-step explanation:

Since you have to use terms of pi you just leave out pi out of the formula

A = πr² so it would be

A = r² Radius is half of diameter so half of 12 = 6

A = 6²

A = 36

Than you add pi

36π

Hope this helped

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The product of two consecutive positive even integers is 440. what are the integers

Natali [406]

1st integer: x
2nd integer: x+2

Multiply them: x(x+2)=440
X^2+2x-440=0
Use the quadratic formula
x=-22 or x=20
Since x must be a positive integer number, x=20.

Answer:
1st: 20.
2nd: 22

Rate High and send a personal message if you want detailed answers on your math questions.

4 0

3 years ago

An aircraft emergency locator transmitter (ELT) is a device designed to transmit a signal in the case of a crash. The ACME Manuf

iren [92.7K]

Answer:

a) P(ACME) = 0.7

b) P(ACME/D) = 0.5976

Step-by-step explanation:

Taking into account that ACME manufacturing company makes 70% of the ELTs, if a locator is randomly selected from the general population, the probability that it was made by ACME manufacturing Company is 0.7. So:

P(ACME) = 0.7

Then, the probability P(ACME/D) that a randomly selected locator was made by ACME given that the locator is defective is calculated as:

P(ACME/D) = P(ACME∩D)/P(D)

Where the probability that a locator is defective is:

P(D) = P(ACME∩D) + P(B. BUNNY∩D) + P(W. E. COYOTE∩D)

So, the probability P(ACME∩D) that a locator was made by ACME and is defective is:

P(ACME∩D) = 0.7*0.035 = 0.0245

Because 0.035 is the rate of defects in ACME

At the same way, P(B. BUNNY∩D) and P(W. E. COYOTE∩D) are equal to:

P(B. BUNNY∩D) = 0.25*0.05 = 0.0125

P(W. E. COYOTE∩D) = 0.05*0.08 = 0.004

Finally, P(D) and P(ACME/D) is equal to:

P(D) = 0.0245 + 0.0125 + 0.004 = 0.041

P(ACME/D) = 0.0245/0.041 = 0.5976

5 0

3 years ago

Quanto fa 2×2? hsbwhannwn

goldenfox [79]

Answer:

$ok, ma \: quando \: 2+2= 1? $

6 0

2 years ago

Read 2 more answers

What is the number below that subtracted 7 from four times it multiplied and equals 1?

Dvinal [7]

Answer:

a.4

Step-by-step explanation:

because

4 0

3 years ago

Mr. Abaya goy P700,000 loan for the expansion of his business payable monthly in 4years. How much os the monthly amortization if

Vaselesa [24]

The monthly amortization is P23,511.63

<h2>Compound interest</h2>

The formula for calculating the compound interest is expressed as:

$A = P(1+r/n)^t$

whrere:

P is the principal = P700,000
r is the rate = 12% = 0.12
t is the time = 4 years
n = 12

Substitute the parameters

$A = 700000(1+0.12/12)^{4(12)}\\
A = 700,000(1.01)^{48}\\
A =1,128,558.25$

Calculate the monthly payment:

Monthly payment = $\frac{1,128,558.25}{48} =23,511.63$

Hence the monthly amortization is P23,511.63

Learn more on compound interest here: brainly.com/question/24924853

8 0

2 years ago