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aksik [14]
4 years ago
10

Three consectuive integers have a sum of 81

Mathematics
1 answer:
irina [24]4 years ago
8 0
The three consecutive integers are 26, 27, 28

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Ymorist [56]

Answer:

d(10)=20?

Step-by-step explanation:

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3 years ago
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Phoenix [80]

Answer:

19. 1400 ft^2

20. 1680 + 112pi m^3

For 20, a decimal answer would be 2031.86

Step-by-step explanation:

19. Lateral surface area refers to the area without including any horizontal planes(the tops and the bottoms - hence the name lateral). The lateral surface area of this prism is simply 5 equivalent rectangles. Each rectangle has an area of 280(14*20). Thus, the answer is 280*5 = 1400 ft^{2}

20. The volume of a shape such as this(where the horizontal planes are always the same shape) can be calculated by the area of the base times the height. In this case, the area of the base is the semi circle (area of \frac{4*4*\pi}{2}). The area of the rectangle is 15 * 8 = 120. Adding these together gets you 120 + 8pi. Multiplying this by the height of 14 gets you 1680 + 112\pi m^3  

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4 years ago
If m&lt;2 =3x + 14 and m&lt;7 =5x -60 then find the measure of angle 3
r-ruslan [8.4K]

Answer:

∠ 3 = 55°

Step-by-step explanation:

∠ 2 and ∠ 7 are corresponding angles and are congruent, then

5x - 60 = 3x + 14 ( subtract 3x from both sides )

2x - 60 = 14 ( add 60 to both sides )

2x = 74 ( divide both sides by 2 )

x = 37

∠ 2 = 3x + 14 = 3(37) + 14 = 111 + 14 = 125°

∠ 2 and ∠ 3 are adjacent angles on a straight line and sum to 180° , so

125° + ∠ 3 = 180° ( subtract 125° from both sides )

∠ 3 = 55°

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Step-by-step explanation:

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