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erica [24]
3 years ago
7

PLEASE HELP!

Mathematics
1 answer:
notka56 [123]3 years ago
4 0
The arc length is:
 S = R * theta
 Where,
 R: Radio
 Theta: central angle
 Substituting values we have:
 Circle A:
 Sa = Ra * (140/360) * 2π
 Circle B:
 Sb = Rb * (140/360) * 2π
 The relationship of arcs is:
 Sa / Sb = (Ra * (140/360) * 2π) / (Rb * (140/360) * 2π)
 Rewriting:
 Sa / Sb = (Ra / Rb)
 Substituting values:
 (3 / 4π) / Sb = 2/3
 Clearing Sb
 Sb = (3/2) (3 / 4π)
 Sb = (9 / 8π)
 Answer:
 
The length of the intercepted arc for circle B is:
 
Sb = (9 / 8π)
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Can someone please help me you have to explain your answer plzzz help<br> ?!?!?!?!?!
igor_vitrenko [27]

Answer:

<h3>Question 1</h3>
  • Let number of adult tickets - x, student tickets - y

<u>Required equations:</u>

  • x + y = 8
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<u>Solve by substitution x = 8 - y</u>

  • 7.25(8 - y) + 5.50y = 52.75
  • 58 - 7.25y + 5.50y = 52.75
  • 1.75y = 5.25
  • y = 5.25/1.75
  • y = 3

<u>Find x:</u>

  • x = 8 - 3 = 5

Answer: 5 adults and 3 students

<h3>Question 2</h3>
  • Pair of gloves costs- x, hats cost- y

<u>Equations:</u>

  • 2x + 4y = 43
  • 2x + 2y = 30

<u>Solve by elimination, subtract the equations:</u>

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  • 2y = 13
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Answer: Gloves cost $8.5, hats cost $6.5

6 0
2 years ago
Five rectangles are arranged from the least to the greatest area and named A, B, C, D, and E in order of increasing area. All di
Hatshy [7]

Given that median area is 15 square units.

Hence rectangle C in the middle has 15 square units.

Its dimensions can be width= 5 and length = 3

SInce B is smaller than C and has the same length, B has lengh of 3 with area = 9 sq units.

D has the same perimeter = 16 units.  Since D is a square, side of D = 4 units.

Now D and E have the same length.  Hence length of E = 4 units.

Width of E = width of C = 5 units.Thus makes the area of E as 20 sq units.

Rectangle A has length =3 and width can be less than 3 since area is smaller than B.

so A has length= 3 width = 2 with area = 6 sq units.

8 0
3 years ago
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stepan [7]
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5 0
3 years ago
A line segment has the endpoints C(4,9) and D(8,7). Find the coordinates of its midpoint M
babunello [35]

Answer:

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Step-by-step explanation:

To the find the midpoint of a segment you add the x values, then divide by 2, then add the y values and divide by 2. M = (\frac{x_{1} +x_{2} }{2}, \frac{y_{1} +y_{2} }{y} ). Therefore, you would do ((4+8)/2, (9+7)/2). So, you're answer is (12/2, 16/2), which equals      (6, 8)

8 0
3 years ago
The volume of a prism is 8000 mm3. What is the volume of this prism, measured in cm3?
Tema [17]
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1meter=100centimeter
1000milimeter=100centimeter
1cm=10mm
1cm^3=1000mm^3
8000mm^3 * 1cm^3/(1000mm^3) = 8 cm^3
hopes this gains.
7 0
3 years ago
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