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FinnZ [79.3K]
3 years ago
11

The circumference of a circle is 13π ft. What is the area, in square feet? Express your answer in terms of π.

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
5 0

Answer:

\frac{169}{4} \pi square feet

Step-by-step explanation:

Circumference = 2πr

13π = 2πr

\frac{13}{2}=r

Area = πr²

π × \frac{13}{2}² =

\frac{169}{4}π square feet

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olga55 [171]
1) 6/15 or 2/5
2) .4 or 40%

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then 5/17 then 11/25 then 8/29 then 3/14
then 9/31 then 12/32 or 3/8 then 8/30 or 4/15 then 2/19 then 15/32
8 0
3 years ago
There are 8 members on a board of directors. if they must form a subcommittee of 6 members, how many different subcommittees are
Shtirlitz [24]
1. Given a group of n people. There are C(n, r) ways of forming groups of r out of n.

2. Where C(n, r)=\frac{n!}{r!(n-r)!}

3. For example, given {Andy, John, Julia}. We want to pick 2 people to give a gift: we can pick {(Andy, John), (Andy, Julia), (John, Julia)}, so there are 3 ways. So we can list and count.

4. Or we could do this with the formula C(3, 2)=\frac{3!}{2!(1)!}= \frac{3*2*1}{2*1}=3

5. C(8, 6)=\frac{8!}{2!6!}= \frac{8*7*6!}{2*6!}= \frac{8*7}{2}= 4*7=28

So there are C(8,6)=28 ways of chosing 6 out of 8 people to form the subcommittees. <span />
5 0
3 years ago
Ivanna is a software saleswoman. Let y represent her total pay (in dollars). Let x represent the number of copies of History is
artcher [175]

1. For every extra copy, Ivanna sells she gets an additional 120 dollars (+$120) and for every less copy she loses $120 dollars (-$120).

2. Ivanna's total pay is $2,400 if she doesn't sell any copies of History is Fun.

Step-by-step explanation:

Step 1:

y = 2,400 + 120x, where y is Ivanna's total pay and x is the number of copies of history is fun she sells.

To calculate the change is Ivanna's pay we find the difference in pay for two consecutive values of y.

We must calculate y when x is of consecutive values i.e. 1, 2, 3, 4 ...

Step 2:

We calculate the value of y when x = 1, 2 and 3.

When x = 1, y = 2,400 + 120 (1) = 2,400 + 120 = $2,520.

When x = 2, y = 2,400 + 120 (2) = 2,400 + 240 = $2,640.

When x = 3, y = 2,400 + 120 (3) = 2,400 + 360 = $2,760.

Step 3:

To calculate the increase in her pay for a copy, we subtract y when x = 2 from y when x = 3.

(y when x = 3) - (y when x = 2) = $2,760 - $2,640 = $120.

So for every extra copy, Ivanna gets an extra $120.

To calculate the decrease in her pay for a copy, we subtract y when x = 3 from y when x = 2.

(y when x = 2) - (y when x = 3) = $2,640 - $2,760 = -$120.

So for every less copy, Ivanna loses $120.

Step 4:

To calculate her pay when she doesn't sell any copies of history is fun, we substitute the value of x as 0 in y.

When x = 0, y = 2,400 + 120 (0) = $2,400.

So Ivanna earns $2,400 if she doesn't sell any copies of history is fun.

8 0
3 years ago
6000 for 6 years at 81/2 % compounded daily will grow to a) $9.990.02 b)9.060.00 c) 9788.81 d)9991.15
Flura [38]

Answer:

d)9991.15

Step-by-step explanation:

We have a sum of money ($6000) compounded daily at an annual interest rate of 8.5% for 6 years.

If the interest is compound daily, and we take a m=365 days a year (or 365 subperiods m), the daily nominal interest rate is:

i_d=\dfrac{i}{m}=\dfrac{0.085}{365}=0.000232877

Then, we can express the final valueo of $6000 compounded daily at an annual interest rate of 8.5% for 6 years as:

FV=IV\left(1+\dfrac{i}{m}\right)^{n\cdot m}\\\\\\FV=6000(1+0.000232877)^{6\cdot 365}\\\\FV=6000(1.000232877)^{2190}\\\\FV=6000\cdot1.665192322\\\\FV\approx9991.15

4 0
3 years ago
Neeed help ASAP ...........
Travka [436]

THE ANSWER I THINK IS D

4 0
3 years ago
Read 2 more answers
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