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3 years ago

In circle C the measure of arc AB=72. Find the measure of angle BCD

Mathematics

2 answers:

Olenka [21]3 years ago

8 0

Answer:

When we have a circle of radius R, we have that the total perimeter of the circle is equal to:

P = 2*pi*R

Now, if we have an arc, this is only a section of the total perimeter, the measure of the arc is equal to:

A = (θ/2*pi)*2*pi*R = θ*R

You can see that when θ = 2*pi, the term in the left is equal to 1 and we have the complete perimeter.

Now, we have that the measure of the arc AB = 72, then we can find the angle as:

A = 72 = θ*R

then we solve this for theta:

72/R = θ

Where you can see that as bigger is the radius of the circle, smaller is the value of theta.

Remember that this equation works with angles in radians.

nydimaria [60]3 years ago

3 0

Answer:

108

Step-by-step explanation:

the answer would be 108. 72+108=180, and the circumference of a circle is 360. the other half equals 180, so 180+180=360.

Sorry if i'm bad at explaining...

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Challenge A large university accepts 40% of the students who apply. Of the students the university accepts, 35% actually enroll.

Shkiper50 [21]

Answer:

2800 students would actually enroll.

Step-by-step explanation:

Of the 20,000 students who apply to a university, 40% are accepted.

It means:

20,000 × 40% = 20,000 × 40/100 = 8000 students are accepted

Of these, 35% enroll.

8000 × 35% = 8000 × 35/100 = 2800 students enroll

Therefore, 2800 students would actually enroll.

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3 years ago

You are investing $4000 with a 2.5% nominal interest; compare what happens if the interest is compounded annually, quarterly, or

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3 years ago

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.26 millimeters and a standard deviat

Molodets [167]

Answer:

Top 10%: 5.35 millimeters

Bottom 10%: 5.17 millimeters

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 5.26, \sigma = 0.07$

Top 10%

X when Z has a pvalue of 1-0.1 = 0.9. So X when Z = 1.28.

$Z = \frac{X - \mu}{\sigma}$

$1.28 = \frac{X - 5.26}{0.07}$

$X - 5.26 = 1.28*0.07$

$X = 5.35$

Bottom 10%

X when Z has a pvalue of 0.1. So X when Z = -1.28

$Z = \frac{X - \mu}{\sigma}$

$-1.28 = \frac{X - 5.26}{0.07}$

$X - 5.26 = -1.28*0.07$

$X = 5.17$

5 0

3 years ago

Help.It have answer choices

amm1812

The answer is Impossible

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3 years ago

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Let t represent the # of hours required for the west-east flight.
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3 years ago