3 years ago

Subtract. 3−(−5)−(−2) Plot the solution on the number line.

Mathematics

1 answer:

Roman55 [17]3 years ago

4 0

Answer:

Step-by-step explanation:

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As you bring all the non-variable numbers over to the right side, it becomes 384 which you then will divide the 32 in x which gives us 12. so x=12

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4 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

Leno4ka [110]

Answer:

Option 4. Perimeter = 30 units

Step-by-step explanation:

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

Perpendicular distance between the bases = 14 units

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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