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Anarel [89]
3 years ago
7

A solid figure is

Mathematics
1 answer:
Len [333]3 years ago
7 0

Answer: 4 feet.

Step-by-step explanation:

Their is one rectangular prison divided into two.

The volume of the first one is

V1= L X H X W=80.

Volume of the second one is

V2= L X H X W

V2= 6 X H X 5

V2 = 30H

Now from the question, the total volume is 200cubic feet which means V1 + V2 = 200, recall that V1=80 and V2=30H, so we say;

80+30H=200, collecting the like term we have, 30H=200-80.

30H=120, divide both side by 30

30H/30=120/30

H= 4feet.

Height is 4feet.

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Margaret is folding paper flowers for an art project.The number of paper flowers she can make varies dicetly with the amount of
yKpoI14uk [10]

Answer:

  • 168 in 7 hours.

Step-by-step explanation:

<u>We can't multiply.</u>

<u>We got to count up by 12's for each 1/2 hour.</u>

12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168.

<u>Simplified:</u>

  • 24, 48, 72, 96, 120, 144, 168.

<u>Estimate:</u>

  • 12 = 1/2 hour
  • 24 = 1 hour
  • 36 = 1 1/2 hours
  • 48 = 2 hours
  • 60 = 2 1/2 hours
  • 72 = 3 hours
  • 84 = 3 1/2 hours
  • 96 = 4 hours
  • 108 = 4 1/2 hours
  • 120 = 5 hours.
  • 132 = 5 1/2 hours
  • 144 = 6 hours
  • 156 = 6 1/2 hours
  • 168 = 7 hours.

Answer is 168.

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Find the distance between each pair of points.<br> 3) (6, -2), (8, -3)<br> 4) (7,-8), (-8, 2)
castortr0y [4]

Answer:

3) \sqrt{5}

4)5\sqrt{13}

Step-by-step explanation:

distance between two points:

d = \sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1})^{2}}

we have:

3) (6, -2), (8, -3)

x_{1} = 6

y_{1} =-2

x_{2} = 8

y_{2} =-3

so we have:

d =\sqrt{(8-6)^{2}+ (-3-(-2))^{2}}\\\\d =\sqrt{(2)^{2}+ (-1)^{2}}\\\\d = \sqrt{4+ 1}\\\\d=\sqrt{5}

4) (7,-8), (-8, 2)

x_{1} = 7

y_{1} =-8

x_{2} =-8

y_{2} =2

d =\sqrt{(-8-7)^{2}+ (2-(-8))^{2}}\\\\d =\sqrt{(-15)^{2}+ (10)^{2}}\\\\d = \sqrt{225+ 100}\\\\d=\sqrt{325}\\\\d=5\sqrt{13}

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