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tatiyna
3 years ago
15

Which values from the given replacement set make up the solution set of the inequality?

Mathematics
1 answer:
Volgvan3 years ago
4 0

Answer:

B: 8,9,10

Step-by-step explanation:

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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
MrMuchimi

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

8 0
1 year ago
Write an equation of the circle with center (-3, 4) and radius 6.
Sedaia [141]

Answer:

(x+3)²+(y-4)²=36.

Step-by-step explanation:

For this, we need to use the equation of a circle which is:

(x-h)²+(y-k)²= r²

Simply substitute the center values for 'h,k', and the radius for 'r'.

This will give you:

(x+3)²+(y-4)²=36.

3 0
3 years ago
Complete the equation. Round to the nearest hundredth where necessary.
Alexandra [31]

Answer:

D

Step-by-step explanation:

There are 1.61 km in 1 mi.

10 mi × (1.61 km/mi) = 16.1 km

7 0
3 years ago
Need Help With Functions. Screenshot attatched
FinnZ [79.3K]

Answer:

4x² -29x +51

Step-by-step explanation:

Put x-3 where x is in the original function definition, then "simplify". I think you'll find it convenient to rewrite the original function definition first.

... g(x) = 4x² -5x = x(4x -5)

Substituting, we have

... g(x-3) = (x -3)(4(x -3) -5)

... = (x -3)(4x -17) . . . . . simplify right factor

... = 4x² -12x -17x +51

... g(x -3) = 4x² -29x +51

3 0
3 years ago
MATH HELP PLEASE 10 POINTS !
joja [24]
Three times the difference of a number n and 1
7 0
3 years ago
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