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Ad libitum [116K]
1 year ago
15

The perimeter of the rectangle below is 84 units. Find the length of side VW.

Mathematics
1 answer:
Anestetic [448]1 year ago
8 0

Answer:

18.

Step-by-step explanation:

1) formula of the perimeter given in the condition is:

p=2(VW+XV) or p=2(VY+XY).

Note, VW=XY and XV=VY;

2) if to substitute p=84, VW=2z+2 and XV=3z into the formula above, then

2(2z+2+3z)=84, ⇔ 5z+2=42; ⇒ z=8.

3) if z=8, then VW=2z+2=2*8+2=18.

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Expanded form of 680,705
denis23 [38]

\huge\boxed{600,000 + 80,000 + 700 + 5}

To find expanded form, we need to split up the digits. When you do that, you take one digit and cut off everything to the left of it, then make everything to the right zeros.

600,000 + 80,000 + 0 + 700 + 0 + 5

We don't need to keep the zeros.

\boxed{600,000 + 80,000 + 700 + 5}

We can check this by adding the numbers back up to get 680,705.

680,000 + 700 + 5

680,700 + 5

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3 years ago
The pentagonal prism has a perpendicular distance of 14 units between the bases. The volume of the prism is 840 cubic units. Wha
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Answer:

Option 4. Perimeter = 30 units

Step-by-step explanation:

Since the volume of a pentagonal prism is 840 cubic units.

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We know volume of a pentagonal prism = Area of base × distance between the bases

840 = Area × 14

Area = 840/14 = 60 square units

Now area of a pentagon

A=\frac{a^{2}}{4}\times\sqrt{5(5+2\sqrt{5})}

1.72a^{2}=60

a^{2}=\frac{60}{1.72}=34.90

a=\sqrt{34.9}=5.91

Therefore perimeter of the pentagon = 5×a = 5×5.91 = 29.54 ≈ 30 units

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3 years ago
How many times can 3 go into 84
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