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2 years ago

Select the correct answer from each drop-down menu.

Mathematics

1 answer:

Natali5045456 [20]2 years ago

4 0

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Answer: $\textsf{Option A, 13}$

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Given: $\textsf{Side length = 9 units}$

Find: $\textsf{Diagonal length}$

Solution: The diagonal length can be easily determined using an equation which uses the side length of a square multiplied by the square root of 2. All we need to do is plug in the values and simplify the expression.

Plug in the values

$\textsf{Diagonal = Side length} * \sqrt{2}$

$\textsf{Diagonal = 9 units} * \sqrt{2}$

Simplify the expression

$\textsf{Diagonal = 9 units * 1.4142}$

$\textsf{Diagonal = 12.73 units}$

Looking at the answer options that have been provided, the option that best fits our scenario is option A, 13.

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For division of mixed numbers, it often works well to first convert them to improper fractions. Then the division proceeds in the usual way: "invert and multiply", or "dot, swap."

$1\dfrac{2}{3}\div2\dfrac{3}{5}=\dfrac{5}{3}\div\dfrac{13}{5}=\dfrac{5}{3}\cdot\dfrac{5}{13}\\\\=\dfrac{5\cdot5}{3\cdot13}=\boxed{\dfrac{25}{39}}$

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Additional comment

Your graphing calculator can do this, too.

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