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vova2212 [387]
3 years ago
6

How do you do this question?

Mathematics
2 answers:
beks73 [17]3 years ago
8 0

The length of a circular arc (s) is the product of the circle's radius and the central angle measure in radians.

... s = r·θ

Then the central angle measure in radians is ...

... θ = s/r

For your problem, you have s = 8π/9 and r = 1. Then the central angle AOC is

... ∠AOC = (8π/9)/(1) = 8π/9 . . . . radians

The relationship between radians and degrees is

... 180° = π radians

Multiplying this equation by 8/9 will tell us the degree measure of ∠AOC.

... 8/9×180° = (8/9)×π radians

... ∠AOC = (8/9)·180° = 160°

We know that this is the sum of the two (equal) central angles ∠AOB and ∠BOC, so we have

... 2×∠AOB = 160°

... ∠AOB = 160°/2 = 80°

_____

Here, you know that 8π/9 is the central angle <em>in radians</em> because the ratio of arc length to radius is the angle <em>in radians</em>.

Hitman42 [59]3 years ago
4 0

The central angle corresponding to AOB is half of the 8pi/9 radians mentioned, meaning that the central angle of AOB is 4pi/9.

Converting that to degrees:

4pi/9 180 degrees

-------- * -------------------- = 80 degrees.

1 pi

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zmey [24]

Answer:

60% I hope I help :) have a great day

6 0
3 years ago
10. A video rental store charges a $20 membership fee and $2.50 for each video
Pavel [41]
Y= 2.50(x) + $20 is the linear equation

If 15 videos are rented
Y=2.50(15) + $20
Y= $57.50

67.50 = 2.50(x) + 20
19= x
19 videos were rented in 3 months
8 0
3 years ago
. The Portman's kitchen table is
Scilla [17]

Answer:

Yes

Step-by-step explanation:

The tablecloth is large enough as when you multiply 4×8=32 square feet. Thus meaning a 56 square foot table cloth would be enough.

4×8=32

3 0
3 years ago
Melody used the ratio table at the right to find the number of people served with 15 pounds of ground turkey find her error and
Solnce55 [7]
The first column is the ratio you start with. The next column in the table should be the reduced fraction. To properly reduce a fraction, you divide the same number on the top and bottom of the fraction. Melody instead subtracted 1 in the top and bottom of the fraction to reduce it. She should have divided the top and bottom by 2 to get the second column of 1 pound of turkey and 3 people served.
The final column is designed to be the answer to the initial question of how many people are fed by 15 pounds of ground turkey. Starting with column 2 (the reduced ratio of 1/3), multiply the top by 15 to get 15 pounds of ground turkey. Then do the same to the bottom of the fraction. 3 x 15 = 45 people fed.
So the table should have been
Pounds of turkey    2    1    15
People served        1    3    45
Melody's overriding error was in believing that adding or subtracting numbers to both the top and bottom of a ratio/fraction keep its value the same. Instead, only multiplying or dividing the top and bottom by the same number creates an equivalent fraction.
7 0
3 years ago
Mai bought a television for $330. The tax rate is 8%. What is the total amount she paid for the television?
EastWind [94]
The total amount Mai paid for the television is $356.40
Explanation: 330*1.08=356.4
3 0
3 years ago
Read 2 more answers
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