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svp [43]
3 years ago
15

Find the radius of a circle in which the central angle of (pie /4 ) radian determines a sector with an area of 86m^2

Mathematics
1 answer:
LenKa [72]3 years ago
6 0
Area of sector  = 1/2 * r^2 * x   where r = radius and x = angle in radians

86 = 1/2 * r^2 * pi/4

r^2 = 2 * 86 * 4  / pi  =  219

r =  sqrt 219

= 14.80
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How to work -1x-2y=-13 x-2y=11 equation by substitution
Norma-Jean [14]
Well if you're wanting to use substitution, you first have to end up with one term on either side of the equation. Use the second one as it's easiest. 

So: x-2y=11, so find -2y as there is a -2y in the first equation. 
then that becomes -2y=11-x. then sub that into equation 1, and you get:

-x+11-x=-13, which equals to -2x+11=-13, which is -2x=-24, so therefore

x=12. then chuck the x into any of the equations to find what y equals. 

hope this helps!
5 0
3 years ago
What is the median of the data (180,175,163,186,153,194,198,183,187,174,177,196,162,185,174,195,164,152,144,138,125,110)
allsm [11]
Put them in order from smallest to largest
110, 125, 138 , 144, 152,153,162, 163,164, 174, 174, 175, 177,180,183,185, 186,187, 194,195, 196,198

median = (174 + 175 )/2 = 174.5

answer
174.5


8 0
3 years ago
Read 2 more answers
Hello can you please help me posted picture of question
jarptica [38.1K]
4x^6+2x^5-2x+8+2x^8+4x+2=
2x^8+4x^6+2x^5+(4-2)x+10=
2x^8+4x^6+2x^5+2x+10

Answer: Option B: 2x^8+4x^6+2x^5+2x+10
7 0
3 years ago
Richard estimates that he can apply fertilizer to 4,486 square feet of grass in 3/4 hour. How many square feet of grass can Rich
Scrat [10]
( PLEASE GIVE BRAINLIEST) 4,486/1 and 3/4 I would do division and use the butterfly method which gets you 1121.5/3 simplified to 373.83 feet per hour
3 0
3 years ago
I need help finding the answers someone plz help
Harlamova29_29 [7]

Happy New Year from MrBillDoesMath!

Answer:

Proof by ASA congruence postulate. See below

Discussion:

  Fact 1 :     angle A = angle T             (given)

  Fact 2:    The angles on both sides of point X are equal as vertical angles

                 are equal.

From these facts it follows that angle M = angle H (as all plane triangles have 180 degrees). Also  AM = TH  (given) so

   In the left triangle                          In the right triangle

  (angle M, side AM, angle A)  =      (angle H, side TH, angle T)


Hence the triangles have two congruent angles, and congruent sides included between the angles, so they are congruent by  ASA.


Thank you,

MrB

8 0
3 years ago
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