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11111nata11111 [884]
3 years ago
13

A circle has a radius of 5 in. A central angle that measures 150° cuts off an arc.

Mathematics
1 answer:
marishachu [46]3 years ago
3 0

Answer:

Part 1) The exact value of the arc length is \frac{25}{6}\pi \ in

Part 2) The approximate value of the arc length is 13.1\ in

Step-by-step explanation:

ind the circumference of the circle

The circumference of a circle is equal to

C=2\pi r

we have

r=5\ in

substitute

C=2\pi (5)

C=10\pi\ in

step 2

Find the exact value of the arc length by a central angle of 150 degrees

Remember that the circumference of a circle subtends a central angle of 360 degrees

by proportion

\frac{10\pi}{360} =\frac{x}{150}\\ \\x=10\pi *150/360\\ \\x=\frac{25}{6}\pi \ in

Find the approximate value of the arc length

To find the approximate value, assume

\pi =3.14

substitute

\frac{25}{6}(3.14)=13.1\ in

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16 x 12 = oz

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I hope this helped you understand :)


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Answer:

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Step-by-step explanation:

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Cual es la simplificacion de 66/81
Karo-lina-s [1.5K]

Answer:

Hence the simplification of \dfrac{66}{81} is \dfrac{22}{27}

Step-by-step explanation:

<em>" Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler (usually shorter), </em>

<em>for example</em><em>: Simplification of a fraction to an irreducible fraction ". </em>

Here we are given a fraction as:

\dfrac{66}{81}

As both the numerator and denominator are divisible by a factor of 3 hence we take out the common factor and obtain the reduced fraction which is further irreducible.

As 66=3×22  and 81=3×27

Hence \dfrac{66}{81}=\dfrac{3\times22}{3\times27}=\dfrac{22}{27}

Hence the simplification of \dfrac{66}{81} is \dfrac{22}{27}

8 0
3 years ago
144 flowers in a vase the ratio of yellow to pink flowers is 5 to 6 how many yellow flowers are in the vase
azamat

\frac{5}{11}  \times 144 \: is \: the \: amount \: of \: yellow \: flowers \\  \\  \frac{5}{11}  \times 144 = 65.45 = 65
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