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olya-2409 [2.1K]
4 years ago
14

What is the length of an arc defined by a 60 degree central angle in a circle with a radius of 5 in.?

Mathematics
1 answer:
Natali [406]4 years ago
3 0

Answer:

5.24 in

Step-by-step explanation:

The arc length is calculated as

arc = circumference × fraction of circle

     = 2πr × \frac{60}{360}

     = 2π × 5 × \frac{1}{6}

     = \frac{10\pi }{6} ≈ 5.24 in (2 dec. places )

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Solve.<br><br><br> −0.65p − 4 = 0.35p<br><br><br> The solution is p =
Nuetrik [128]

Answer:

Step-by-step explanation:

Solution,

p=-4

If you found my answer useful then please mark me brainliest.

6 0
3 years ago
50 POINTS PLEASE HELP AND EXPLAIN YOUR ANSWER
Afina-wow [57]

Answer:

your option is correct

Step-by-step explanation:

To be two triangles congruent we have the following

  • Side-Side-Side
  • Side-Angle-Side
  • Angle-Side-Angle

option 2, and 3 give angles, but to work they have to be between the two sides, so those options can't be

so the only one is option 1

option  4 is when the triangles can't be congruent

3 0
3 years ago
If you invest $500 at 3% compounded monthly for 2 years, how much interest you do earn? Show work.
Elodia [21]

Answer:

  $30.88

Step-by-step explanation:

The account value is given by ...

  A = P(1 +r/n)^(nt)

where P is the principal invested, r is the annual interest rate, t is the number of years, n is the number of times interest is compounded per year.

The amount of interest earned is the account value less the initial investment:

  I = A - P = P(1 +r/n)^(nt) -P  = P((1 +r/n)^(nt) -1)

Filling in the given values, we get ...

  I = 500((1 +.03/12)^(12·2) -1) = 500(1.0025^24 -1) ≈ $30.88

The amount of interest earned is $30.88.

4 0
3 years ago
A state university charges $8,129 per year for tuition, $7,996 for room and board, $1,150 for books, and $810 for student activi
torisob [31]

Answer:

$10,089

Step-by-step explanation:

Add all numbers except for the room and board since student is choosing to live at home.

8 0
3 years ago
Preston started the summer owing $15 to his brother and $20 to his sister. He earned $75 mowing lawns, and paid his brother and
joja [24]

Answer:

$75 - $15 - $20 = $40

Step-by-step explanation:

Given that:

Money owed by Preston to his brother = $15

Money owed by Preston to his sister = $20

Total money earned by Preston = $75

Now, the money is paid back that he owed to his sister and brother.

To find:

The expression to represent the amount of money left with Preston after clearing all his dues?

Solution:

Once Preston pays back the money that he owed to his brother and sister, he will not have all $75 left with him.

He will have lesser amount of money.

Money left with Preston = Total money earned by Preston - Money owed to brother - Money owed to sister

Putting the values given as per the question statement, we get:

Money left with Preston = $75 - $15 - $20 = $40

Therefore, the expression to represent the amount of money left with Preston =<em> $75 - $15 - $20 = $40</em>

8 0
3 years ago
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