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dexar [7]
1 year ago
14

A sector of a circle has a central angle of 100 degrees. If the area of the sector is 50pi, what is the radius of the circle

Mathematics
1 answer:
MrMuchimi1 year ago
8 0

The radius of the circle having the area of the sector 50π, and the central angle of the radius as 100° is <u>6√5 units</u>.

An area of a circle with two radii and an arc is referred to as a sector. The minor sector, which is the smaller section of the circle, and the major sector, which is the bigger component of the circle, are the two sectors that make up a circle.

Area of a Sector of a Circle = (θ/360°) πr², where r is the radius of the circle and θ is the sector angle, in degrees, that the arc at the center subtends.

In the question, we are asked to find the radius of the circle in which a sector has a central angle of 100° and the area of the sector is 50π.

From the given information, the area of the sector = 50π, the central angle, θ = 100°, and the radius r is unknown.

Substituting the known values in the formula Area of a Sector of a Circle = (θ/360°) πr², we get:

50π = (100°/360°) πr²,

or, r² = 50*360°/100° = 180,

or, r = √180 = 6√5.

Thus, the radius of the circle having the area of the sector 50π, and the central angle of the radius as 100° is <u>6√5 units</u>.

Learn more about the area of a sector at

brainly.com/question/22972014

#SPJ4

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castortr0y [4]

Answer:

y = 4; g(7) = 4

Step-by-step explanation:

The meaning of g(7) is wherever you see an x in g(x) you put a 7. In this case you are being told that x = 7

So go to 7 on the x axis, go up until you hit the blue line which is g(x) and then read what it says on the y axis. It shows 4 and that is your answer.

6 0
3 years ago
Jessica picked oranges for 2 days during school vacation. She was paid $0.45 per basket for the first 100 baskets picked each da
Mama L [17]

Answer:

$91.75

Step-by-step explanation:

Jessica is paid:

  • $0.45 per basket for the first 100 baskets picked;
  • $0.50 per basket for all baskets over 100 picked.

1st day:

Jessica picked 65 baskets of oranges (less than 100)

Jessica is paid 65\cdot \$0.45=\$29.25

2nd day:

Jessica picked 135 baskets of oranges (35 more than 100)

Jessica is paid 100\cdot \$0.45+35\cdot \$0.50=\$45+\$17.50=\$62.50

Altogether Jessica is paid

\$29.25+\$62.50=\$91.75

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3 years ago
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AleksAgata [21]
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3 years ago
Setting:
nata0808 [166]
A. Mr. Kent interviewed the 54 students as they are going to leave the school, it is not considered to be a random sample. It is because a random sample is when a set is taken from a population. Mr. Kent interviewed the 54 who are going to leave, meaning, he didn't take a set out of that 54, he took all of them. So it is not a random sample.

b. The question that Mr. Kent asked is considered to be a leading question, so it does not seem biased.

c. If there are 54 respondents.
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= giving an answer of 0.0555
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= The percent of responses that says 'no' is 5.6%

6 0
3 years ago
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