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aliya0001 [1]
3 years ago
8

What is the arc length if theta = 2pi / 3 and the radius is 4cm

Mathematics
1 answer:
omeli [17]3 years ago
3 0
Perimeter = 8*pie
So arc = (32*pie)/3
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mote1985 [20]

Answer:

SSS

Step-by-step explanation:

because the triagles are pretty much the same the one on the left is half of the one on the right

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3 years ago
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Miss has a sheet of wrapping paper 85cm in length and 60 cm in width. She cuts the paper into rectangular pieces of length 20 cm
dalvyx [7]

Answer:

Part a - 25 pieces

Part b - 4 sheets

Step-by-step explanation:

<u>Part a</u>

Think of this in terms of how many "units" can the total paper be cut into. Easiest way to keep track of units is by their area. In other words, take the total area and see how many unit areas fit into it:

Number of units = total area / unit area

N = (85 x 60) / (20 x 10)

N = 5100 / 200

N = 25.5

Therefore the greatest number of pieces the paper can be cut into is 25 units (the 0.5 doesn't count since it's not a full pieces).

<u>Part b</u>

Again, back to units. This time the "total" is 100, and our unit size is 25.5. So:

Number of units = total gifts / gifts per unit

N = 100 / 25.5

N = 3.9

Therefore 4 sheets of wrapping paper will be needed (you need to round the 3.9 up because wrapping paper sheets only come in whole numbers for the purposes of this question).

7 0
3 years ago
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LenKa [72]

Answer:

  • x - 4y = 22

Step-by-step explanation:

<u>Given line:</u>

  • x - 4y = 20

<u>Convert the equation into slope-intercept form:</u>

  • x - 4y = 20
  • 4y = x - 20
  • y = 1/4x - 5

It has a slope of 1/4.

Parallel lines have equal slopes.

<u>Find the parallel line lines that passes through the point (2, - 5):</u>

  • y = 1/4x + b

<u>Substitute x and y values to work out the value of b:</u>

  • - 5 = 1/4*2 + b
  • - 5 = 1/2 + b
  • b = - 5 - 1/2
  • b = - 11/2

<u>The line is:</u>

  • y = 1/4x - 11/2

<u>Covert this into standard form:</u>

  • y = 1/4x - 11/2
  • 4y = x - 22
  • x - 4y = 22

7 0
2 years ago
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Jessie wants to buy three tickets for a concert. she has earned $135 and each tickey costs $50. she borrows the rest of the mone
dybincka [34]

Answer: In explanation

Step-by-step explanation:

1. 135 - 50x

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3. $0

I hope this helped!

3 0
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People travel by bus or by train from hiraddug station on tuesday 420 people travelled by bus from the station the ratio of the
goldenfox [79]

The number of people travelled by train from the station on tuesday is 357.

Let us assume the number of people who travelled by train from the station on tuesday be x. Using the concept of ratio and proportion to solve and calculate x.

Forming the ratio-

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Solving the ratio and proportion for the value of x

x = (420 × 17) ÷ 20

Performing multiplication in numerator

x = 7140 ÷ 20

Performing division on Right Hand Side of the equation

x = 357

Therefore, based on the information, 357 people used to travel.

Learn more about ratio and proportion -

brainly.com/question/12024093

#SPJ4

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