Simplify. 2 x (3-1) + 3 07 8 O 10 O 11

Mathematics

1 answer:

myrzilka [38]2 years ago

4 0

Answer:

Step-by-step explanation:

2 x (3-1) + 3

Evaluate using PEMDAS

Parenthesis

Exponents

Math and Division ( left to right )

Addition and Subtraction ( left to right )

2 x (3-1) + 3

According to PEMDAS we do the operations inside of the parenthesis first

3 - 1 = 2

We now have: 2 x 2 + 3

Next we do exponents

There are no exponents so let's move on to multiplication and division

There is indeed multiplication so we do it

2 x 2 = 4

We now have: 4 + 3

Finally we do the addition

4 + 3 = 7

The answer is 7

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A regular hexagonal prism has an edge length 12 cm, and height 10 cm. Identify the volume of the prism to the nearest tenth.

Alexeev081 [22]

Check the picture below.

so the volume will simply be the area of the hexagonal face times the height.

$\textit{area of a regular polygon}\\\\ A=\cfrac{1}{4}ns^2\stackrel{\qquad degrees}{\cot\left( \frac{180}{n} \right)}~~ \begin{cases} n=\stackrel{number~of}{sides}\\ s=\stackrel{length~of}{side}\\[-0.5em] \hrulefill\\ n=6\\ s=12 \end{cases}\implies A=\cfrac{1}{4}(6)(12)^2\cot\left( \frac{180}{6} \right) \\\\\\ A=216\cot(30^o)\implies A=216\sqrt{3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the hexagon}}{(216\sqrt{3})}~~\stackrel{height}{(10)}\implies 2160\sqrt{3}~~\approx ~~3741.2~cm^3$