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tankabanditka [31]
2 years ago
13

A circle has a circumference of 6. It has an arc of length 17/3. What is the central angle of the arc, in degrees?

Mathematics
1 answer:
zepelin [54]2 years ago
7 0

Answer:

340 degrees

Step-by-step explanation:

So the key thing here is to notice that we are given the circumference which will allow us to find a value for the radius of the circle and hence the angle subtended by the arc (the central angle).

So the circumference of a circle = 2pi(r)

This means:

6 = 2pi(r)

Which means that

r = 6/2pi or r = 3/pi

Now we can use this value of r to find our angle in conjunction with the value of the arc length. So:

Arc length is defined by: length = θr

Where θ is our angle value.

So lets plug in:

\frac{17}{3} = (angle)\frac{3}{\pi }

Multiply by pi to get:

\frac{17\pi }{3} = 3(angle)

Divide by 3 to get that:

θ = 17pi/9

So if we convert that from radians to degrees we get 340 degrees.

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What is the value of<br><br>-1/2(x-6) when x=2?
matrenka [14]

The answer is 2.

-1/2(2-6)

-1/2(-4)=2

7 0
3 years ago
To find the height of a pole, a surveyor moves 160 feet away from the base of the pole and then, with a transit 6 feet tall, mea
Artyom0805 [142]

Answer:

306.8 feet

Step-by-step explanation:

Refer the attached figure .

A surveyor moves 160 feet away from the base of the pole i.e. ED = 160 m

Referring the image .

AC=ED=160 m

A transit i.e. AE is 6 feet tall.

AE = CD=6 feet

With a transmit the angle of elevation to the top of the pole to be 62° i.e. ∠BAC = 62°

To Find BC , use tigonometric ratio.

Tan\theta = \frac{Perpendicular}{Base}

Tan 62^{\circ}=\frac{BC}{AC}

Tan 62^{\circ}=\frac{BC}{160}

1.88*160=BC

300.8=BC

Now, the height of the pole = BC+CD =300.8+6=306.8 feet

Hence the height of the pole is 306.8 feet

7 0
3 years ago
Simplify 3/5 divided by (4/9) (5 points)
liraira [26]
It would be 27/20 or, simplified, 1 and 7/20
7 0
3 years ago
Which equation can you use to find the value of x?
Vadim26 [7]

Answer:

I would say bottom left

Step-by-step explanation:

It is the most plausible to the equation

5 0
3 years ago
Read 2 more answers
A(1)= -13 <br><br> a(n)= a(n-1)+4 <br><br> Find the 2nd term in the sequence
eimsori [14]

The second term of the arithmetic sequence is:

a₂= -9

<h3>How to find the second term in the sequence?</h3>

Here we have an arithmetic sequence, such the the recursive formula is:

aₙ = aₙ₋₁ + 4

So to get each term, we need to add 4 to the previous one.

We know that the first term is:

a₁ = -13

Then the second term will be:

a₂ = a₁ + 4 = -13 + 4 = -9

Learn more about arithmetic sequences:

brainly.com/question/6561461

#SPJ1

7 0
1 year ago
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