Answer: use order of operstions
Step-by-step explanation:
When we multiply a whole number with a fraction, we can think of the whole numbers as "over one"...
5 3 5 15
3 * --- = --- * ---- = ----
6 1 6 6
We can further simplify the fraction, by dividing numerator and denominator by 3...
15 15 / 3 5
--- = ------- = ----
6 6 / 3 2
Since this is an improper fraction, we need to turn it into a mixed number...
5 2 + 2 + 1 2 2 1 1 1
---- = -------------- = --- + ---- + --- = 1 + 1 + ---- = 2 --- or 2.5
2 2 2 2 2 2 2
<h3>
Answer: 9</h3>
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Work Shown:
a = unknown = leg #1
b = 12 = leg #2
c = 15 = hypotenuse
Plug those values into the pythagorean theorem and solve for 'a'
a^2 + b^2 = c^2
a^2 + (12)^2 = (15)^2 .... substitution
a^2 + 144 = 225
a^2 = 225 - 144 ... subtracting 144 from both sides
a^2 = 81
a = sqrt(81) .... applying square root to both sides
a = 9