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Citrus2011 [14]
3 years ago
12

A circle has a radius of 14 feet. What is the exact area of the circle and what is the approximate area of the circle and What i

s the appropriate circumference of the circle.
Mathematics
2 answers:
Alenkasestr [34]3 years ago
7 0

Answer:

615.75ft²

Step-by-step explanation:

A=πr²=π·14²≈615.75ft²

ipn [44]3 years ago
3 0

Answer:

Step-by-step explanation:

Exact area of circle = πr² = 196π sq ft

Approximate area of circle = 615 sq ft

Approximate circumference = 2πr = 88 ft

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If on the unit circle C , the distance from P (1, 0) to the point T ( 5/13, 12/13 ) is x , determine the coordinates of the poin
Lorico [155]

Answer:

T' (\frac{5}{13},- \frac{12}{13})

Step-by-step explanation:

See the diagram attached.

This is a unit circle having a radius (r) = 1 unit.

So, the length of the circumference of the circle will be 2πr = 2π units.

Now, the point on the circle at a distance of x along the arc from P is T(\frac{5}{13},\frac{12}{13}).

Therefore, the point on the circle at a distance of 2π - x along the arc from P will be T' (\frac{5}{13},- \frac{12}{13}), where, T' is the image of point T, when reflected over the x-axis. (Answer)

6 0
3 years ago
The range of y = - 32x ^ 2 + 90x + 3
motikmotik

Enter a problem...

Algebra Examples

Popular Problems Algebra Find the Domain and Range y=3/2x^2+4x-9

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values. Use the graph to find the range.

Interval Notation:

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Set-Builder Notation:

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Domain:

(

−

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5 0
2 years ago
Read 2 more answers
What’s the total value of 20 quarters, 40 dimes, 30 nickels, and 15 pennies
Inessa [10]

Answer$10 65 cents

Step-by-step explanation:

20/4= $5 40/10= $4  .05 x 30= $1.50 and add those together to get $10.50 then add the 15 pennies which is $10.65

6 0
3 years ago
Read 2 more answers
Which of the following proportions could be used to find x?
OLga [1]

\frac{x}{2} = \frac{6}{1.5}

The 2 right triangles are similar and so the ratios of corresponding sides are equal

The corresponding sides are x and 2, 6 and 1.5, hence

\frac{x}{2} = \frac{6}{1.5}


5 0
3 years ago
You want to go to graduate school, so you ask your math professor, Dr. Emmy Noether, for a letter of recommendation. You estimat
tresset_1 [31]

Answer:

a) 0.685

b) 0.8175

c) 0.254

Step-by-step explanation:

Let the event that one gets into graduate school be G

The event that one does not get into graduate school is G'

Let the event that one gets a strong recommendation be S

Let the event that one gets a moderately good recommendation be M

Let the event that one gets a weak recommendation be W

P(G|S) = 80% = 0.80

P(G|M) = 60% = 0.60

P(G|W) = 5% = 0.05

P(S) = 0.7

P(M) = 0.2

P(W) = 0.1

These 3 probabilities add up to a 1.0, so, it means these are all the possible outcomes for seeking a recommendation.

a) Probability that you will get into a graduate program = P(G)

P(G) = P(G n S) + P(G n M) + P(G n W)

But the conditional probability P(A|B) is given as

P(A|B) = P(A n B) ÷ P(B)

P(A n B) = P(A|B) × P(B)

Hence,

P(G n S) = P(G|S) × P(S) = 0.80 × 0.70 = 0.56

P(G n M) = P(G|M) × P(M) = 0.6 × 0.2 = 0.12

P(G n W) = P(G|W) × P(W) = 0.1 × 0.05 = 0.005

P(G) = P(G n S) + P(G n M) + P(G n W)

P(G) = 0.56 + 0.12 + 0.005 = 0.685

b) Given that one does receive an offer, probability that you received a strong recommendation?

This probability = P(S|G)

P(S|G) = P(G n S) ÷ P(G) = 0.56 ÷ 0.685 = 0.8175

c) Suppose you didn't receive an offer to attend a graduate program. Given that, what is the probability that you received a moderately good recommendation?

Probability that one doesn't get the offer, given one got a strong recommendation = P(G'|S)

P(G'|S) = 1 - P(G|S) = 1 - 0.80 = 0.20

Probability that one doesn't get job offer, given one got a moderate recommendation = P(G'|M)

P(G'|M) = 1 - P(G|M) = 1 - 0.60 = 0.40

Probability that one doesn't get job offer, given one got a weak recommendation = P(G'|S)

P(G'|W) = 1 - P(G|W) = 1 - 0.05 = 0.95

Total probability that one doesn't get the offer

P(G') = P(G' n S) + P(G' n M) + P(G' n W)

P(G' n S) = P(G'|S) × P(S) = 0.20 × 0.70 = 0.14

P(G' n M) = P(G'|M) × P(M) = 0.40 × 0.20 = 0.08

P(G' n W) = P(G'|W) × P(W) = 0.95 × 0.10 = 0.095

Total probability that one doesn't get the offer

P(G') = P(G' n S) + P(G' n M) + P(G' n W)

= 0.14 + 0.08 + 0.095 = 0.315

Given that one does not receive the job offer, the probability that you received a moderately good recommendation

This probability = P(M|G')

P(M|G') = P(G' n M) ÷ P(G') = 0.08 ÷ 0.315 = 0.254

Hope this Helps!!!

7 0
3 years ago
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