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4 years ago

In a circle with a radius of 6 ft, an arc is intercepted by a central angle of 3π/2 radians.

Mathematics

2 answers:

slamgirl [31]4 years ago

8 0

Answer:

Option 4 - $L=9\pi ft.$

Step-by-step explanation:

Given : In a circle with a radius of 6 ft, an arc is intercepted by a central angle of 3π/2 radians.

To find : What is the length of the arc?

Solution :

Length of an arc is given by:

$L=r\theta$

where r is the radius of the circle, r= 6 ft.

and $\theta$ is the angle in radian, $\theta=\frac{3\pi }{2}$

Substitute the value given in the formula,

$L=r\theta$

$L=6\times \frac{3\pi }{2}$

$L=3\times3\pi$

$L=9\pi$

Therefore, Option 4 is correct.

The arc of length is $L=9\pi ft.$

makkiz [27]4 years ago

5 0

Answer:

9π ft

Step-by-step explanation:

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Simplify this: log√24+ log6

Kitty [74]

simplifying $log\sqrt{24}+log6$ we get $log(12\sqrt{6})$

Step-by-step explanation:

We need to simplify: $log\sqrt{24}+log6$

Solving:

Applying the rule:

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4 years ago

1)If (x-2) is a factor of x2+ 3ax -2a, then find the value of a

liraira [26]

Answer:

x - 2 => x = 2

x² + 3ax - 2a

=> 2² + 3 × a × 2 - 2 × a

=> 4 + 6a - 2a

=> 4 + 4a

=> 4 ( 1 + a )

★ 1 + a = 0

a = -1

5 0

3 years ago

Find the total surface area of this cylinder . Give your answer to 1 decimal place 7cm 15 cm

Leto [7]

Answer:

Step-by-step explanation:

r = 7 cm

h = 15cm

pi = 3.14

Top and bottom (These questions drive you crazy when you don't know if there is both a top and bottom).

Area = 2* pi *r^2 = 2 * 3.14 * 7^2

Area = 2 * 3.14 * 49

Area = 307.72 Don't round this.

Cylinder body

Cylinder body = Circumference * h = 2*pi * r * h

Cylinder body = 2* 3.14 * 7 * 15

Cylinder body = <u> 659.4</u>

<u />

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Rounded 967.1 Answer

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3 years ago

Solve the equation -9v – 9 = -27 for v.

sattari [20]

Answer:

v = -2

Step-by-step explanation:

-9v – 9 = -27

add 9 to each side

-9v – 9+9 = -27+9

-9v = -18

divide by -9

-9v/-9 = -18/-9

v = 2

4 0

3 years ago

Read 2 more answers

If x+y=10 and x-y =6 what is the answer of x cube - y cube fast

AfilCa [17]

Answer:

x+y=10 which means that x=10-y

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10-y-y=6

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x+2=10

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So,

${x}^{3} - y^{3}$

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Hope this helps!

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3 years ago