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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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Restaurant sells 10 tacos for seven dollars or five of the same kind of taco for $3.20 which is the better deal explain how you
nadezda [96]

Answer:

The first deal:10 tacos for $7

Step-by-step explanation:

5 times 3.20 = 16$ and 10 tacos=$7

5 0
3 years ago
On Monday Sophie ran 4 5/6 laps of a running track and on Tuesday she ran 5 3/4
MatroZZZ [7]

Answer:

10  7/12

hope this is right

Step-by-step explanation:

4  5/6 = 29/6 as an improper fraction

5  3/4 = 23/4 as an improper fraction

you times the two denominators together = 24

you times 29 by 4 = 116

you times 23 by 6 = 138

you add 116 and 138 = 254

you put this over 24 =  254/24

simplify this = 127/12

you make this a mixed number = 10 7/12

the answer is 10 7/12

3 0
3 years ago
What is 3/4 of 240 4/5?
OLEGan [10]
180.6 is the answer 240 4/5 is 240.8
240.8/4 is 60.2
60.2 x 3 is your answer
6 0
3 years ago
Question 3 of 8. Step 1 of 1
natali 33 [55]

308 gallons of 7% and 77 gallons of 2% are needed to obtain the desired 385 gallons.

<h3><u>Combination</u></h3>

Since a dairy needs 385 gallons of milk containing 6% butterfat, to determine how many gallons each of milk containing 7% butterfat and milk containing 2% butterfat must be used to obtain the desired 385 gallons, the following calculation must be performed:

  • 385 x 0.06 = 23.1
  • 300 x 0.07 + 85 x 0.02 = 22.7
  • 310 x 0.07 + 75 x 0.02 = 23.2
  • 308 x 0.07 + 77 x 0.02 = 23.1

Therefore, 308 gallons of 7% and 77 gallons of 2% are needed to obtain the desired 385 gallons.

Learn more about combination in brainly.com/question/27339616

#SPJ1

4 0
1 year ago
The functions f and g are defined by these sets if input and output values.
erastovalidia [21]
(x,y)
x=input
y=output
example
we see
g=(1,2)
theefor
g(1)=2


a.
f(4)=1
g(1)=2
g(f(4))=2

b.
g(-2)=4
f(4)=1
f(g(-2))=1

c.
f(3)=5
g(5)=5
f(5)=0
f(g(f(3)))=0
5 0
2 years ago
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