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Ksenya-84 [330]
3 years ago
8

Please help me . With explanation:)

Mathematics
1 answer:
zhuklara [117]3 years ago
6 0
<h3>Answer:  35</h3>

===============================================================

Explanation:

To start off, we'll find the circumference of the full circle. We'll ignore the black and yellow sectors.

C = 2*pi*r

C = 2*pi*7

C = 14pi

This is the exact distance around the full circle in terms of pi

However, we don't want the the full circular perimeter. Instead, we only want the portions that are along the black sectors. The yellow sectors have central angle 24 degrees each. This takes up 3*24 = 72 degrees overall because the three regions have equal area and equal central angle.

Subtract that from 360:

360-72 = 288

The yellow regions take up 72 degrees while the remaining black sectors take up a combined 288 degrees.

------------------------------

Why is 288 useful? Because it helps set up the fraction 288/360 to represent the portion of the perimeter that we care about.

(288/360)*14pi = 35.1858 mm approximately

This rounds to 35 mm

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Write the percent as a fraction 77.5%
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77.5%

Change to decimal:-

77.5 ÷ 100 = 0.775

775/1000

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77.5% = 31/40
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3 years ago
They building in the city has a rectangular base. The length of the base measures 60 ft less than twice the width. The perimeter
wariber [46]

Answer: the length of the base is 290ft

The width of the base is 175 ft

Step-by-step explanation:

The base of the building is rectangular in shape.

Let L represent the length of the base of the building.

Let W represent the width of the base of the building.

The length of the base measures 60 ft less than twice the width. This means that

L = 2W - 60 - - - - - - - - -1

The perimeter of a rectangle is expressed as 2(length + width).

The perimeter of this base is 930ft. It means that

2(L + W) = 930

L + W = 930/2 = 465- - - - - - 2

Substituting equation 1 into equation 2 , it becomes

2W - 60 + W = 465

3W = 465 + 60 = 525

W = 525/3 = 175

L = 465 - W = 465 - 175

L = 290

4 0
3 years ago
100 points! Mhanifa can you please help? Look at the picture attached. I will mark brainliest!
dimulka [17.4K]

Answer:

1 and 2.

Midpoints calculated, plotted and connected to make the triangle DEF, see the attached.

  • D= (-2, 2), E = (-1, -2), F = (-4, -1)

3.

As per definition, midsegment is parallel to a side.

Parallel lines have same slope.

<u>Find slopes of FD and CB and compare. </u>

  • m(FD) = (2 - (-1))/(-2 -(-4)) = 3/2
  • m(CB) = (1 - (-5))/(1 - (-3)) = 6/4 = 3/2
  • As we see the slopes are same

<u>Find the slopes of FE and AB and compare.</u>

  • m(FE) = (-2 - (- 1))/(-1 - (-4)) = -1/3
  • m(AB) = (1 - 3)/(1 - (-5)) = -2/6 = -1/3
  • Slopes are same

<u>Find the slopes of DE and AC and compare.</u>

  • m(DE) = (-2 - 2)/(-1 - (-2)) = -4/1 = -4
  • m(AC) = (-5 - 3)/(-3 - (-5)) = -8/2 = -4
  • Slopes are same

4.

As per definition, midsegment is half the parallel side.

<u>We'll show that FD = 1/2CB</u>

  • FD = \sqrt{(2+1)^2+(-2+4)^2} = \sqrt{3^2+2^2} = \sqrt{13}
  • CB = \sqrt{(1 + 5)^2+(1+3)^2} = \sqrt{6^2+4^2} = 2\sqrt{13}
  • As we see FD = 1/2CB

<u>FE = 1/2AB</u>

  • FE = \sqrt{(-4+1)^2+(-1+2)^2} = \sqrt{3^2+1^2} = \sqrt{10}
  • AB = \sqrt{(-5 -1)^2+(3-1)^2} = \sqrt{6^2+2^2} = 2\sqrt{10}
  • As we see FE = 1/2AB

<u>DE = 1/2AC</u>

  • DE = \sqrt{(-2+1)^2+(2+2)^2} = \sqrt{1^2+4^2} = \sqrt{17}
  • AC = \sqrt{(-5 +3)^2+(3+5)^2} = \sqrt{2^2+8^2} = 2\sqrt{17}
  • As we see DE = 1/2AC

3 0
3 years ago
Read 2 more answers
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Answer:

6 Hours

Step-by-step explanation:

17,100 - 6,300= 10,800

10,800/1,800 = 6

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