Finite Math Examples

$6 + (80 \sin (30)) (2) - 16 {(2)}^{2}$

Step 1

Simplify each term.

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Step 1.1

The exact value of $\sin (30)$ is $\frac{1}{2}$ .

$6 + 80 (\frac{1}{2}) \cdot 2 - 16 {(2)}^{2}$

Step 1.2

Cancel the common factor of $2$ .

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Step 1.2.1

Factor $2$ out of $80$ .

$6 + 2 (40) \frac{1}{2} \cdot 2 - 16 {(2)}^{2}$

Step 1.2.2

Cancel the common factor.

$6 + 2 \cdot 40 \frac{1}{2} \cdot 2 - 16 {(2)}^{2}$

Step 1.2.3

Rewrite the expression.

$6 + 40 \cdot 2 - 16 {(2)}^{2}$

$6 + 40 \cdot 2 - 16 {(2)}^{2}$

Step 1.3

Multiply $40$ by $2$ .

$6 + 80 - 16 {(2)}^{2}$

Step 1.4

Raise $2$ to the power of $2$ .

$6 + 80 - 16 \cdot 4$

Step 1.5

Multiply $- 16$ by $4$ .

$6 + 80 - 64$

$6 + 80 - 64$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Add $6$ and $80$ .

$86 - 64$

Step 2.2

Subtract $64$ from $86$ .

$22$

$22$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$