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3 years ago

Simplify the expression (a+2b) - (3a+b)

Mathematics

2 answers:

ValentinkaMS [17]3 years ago

6 0

Answer:

solution,

$(a + 2b) - (3a + b) \\ = a + 2b - 3a - b$

Collect like terms

$= a - 3a + 2b - b \\$

Simplify:

$- 2a + b$

Hope this helps..

good luck on your assignment....

zhuklara [117]3 years ago

3 0

Answer:

-2a+b

Step-by-step explanation:

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$312.5\pi \text{ km}^3\approx 981.75\text{ km}^3$

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We have been given that a series of 3 separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers.

Each of the three tunnels is shaped like a half-cylinder with a radius of 5 meters.

Since we know that volume of a semicircular or a half cylinder is half the volume of a circular cylinder.

$\text{Volume of a semicircular cylinder}=\frac{\pi r^2h}{2}$ , where,

r = Radius of cylinder,

h = height of the cylinder.

Upon substituting our given values in volume formula we will get,

$\text{Volume of a semicircular cylinder}=\frac{\pi (5\text{ km})^2*25\text{ km}}{2}$

$\text{Volume of a semicircular cylinder}=\frac{\pi*25\text{ km}^2*25\text{ km}}{2}$

$\text{Volume of a semicircular cylinder}=\frac{\pi*625\text{ km}^3}{2}$

$\text{Volume of a semicircular cylinder}=\pi*312.5\text{ km}^3$

$\text{Volume of a semicircular cylinder}=981.74770\text{ km}^3$

Therefore, the volume of earth removed to build the three tunnels is $312.5\pi \text{ km}^3\approx 981.75\text{ km}^3$ .

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