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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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Y = mx + b

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3 years ago
Gloria is an artist. She sets a goal to paint 2 paintings every month. The number of paintings Gloria creates depends on the num
BartSMP [9]

Answer:

we get the all equation of given condition  M = 2P+1   &   P=2M+1Step-by-step explanation:

Given that,

Number of painting made by Gloria every month is 2.

Gloria creates depends on the number of paintings p, Gloria paints over m months if she meet her goal.

we have to check all the apply.

According to question,

M is the independent variable and P is dependent variable.

So,   Relation formed by given statement is  M =2P

Case(1):  P is increased by 2 as M is increased by 1.

    Then,                   M+1= 2\times (P+2)

                                  M+1= 2P+2

                                       M = 2P+1

This is Equation of the given case(1).

Again, P is the independent variable and M is dependent variable.

      ∴                         P=2M

Case (2) M is increased by 2 as P increased by 1.

  Then,                P+1=2\times(M+2)

                             P+1=2M+2

                               P=2M+1

Hence,

we get the all equation of given condition  M = 2P+1   &   P=2M+1

4 0
3 years ago
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James has three times as many ties as shirts if he has a total of 64 items how many of each does he have
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Answer:

16 shirts and 48 ties

Step-by-step explanation:

you start with 64 and divide it by 4 i got four cause it says that James had THREE times as many ties as shirts leaving him with leaving him with 3 groups of ties and 1 group of shirts   .  dividing 64 by 4 leaves you with 16 which is the amount of shirts he has and then you would multiply 16 by 3 to get the amount of ties he has.

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What is 3 to the 4th power in standard form
nika2105 [10]

Answer:

81, i think.

Step-by-step explanation:

6 0
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