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riadik2000 [5.3K]
3 years ago
8

Convert 3.92 into a mixed number in simplest form

Mathematics
1 answer:
Xelga [282]3 years ago
3 0
3.92 = 3 + 92/100
= 3 + 23/25 (when writing as a mixed number you would take out the + but I've just included it for clarity)
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Which type of transformation is shown in the graph
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Answer:

C. Translation

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HELPPPP ME PLZZZZ!!!!!!
mihalych1998 [28]
<h3>Answers:</h3>

14.  Each leg is   21\sqrt{2}  units long.

15 (a). The longer leg is 7\sqrt{3}  units long

15 (b). The hypotenuse is 14 units long

=====================================================

Explanations:

For a 45 degree right triangle, aka 45-45-90 triangle, the hypotenuse is equal to sqrt(2) times the short leg. Algebraically we can say

y = x\sqrt{2} where x is the leg and y is the hypotenuse

Let's solve for x

y = x\sqrt{2}\\\\x\sqrt{2} = y\\\\x = \frac{y}{\sqrt{2}}\\\\x = \frac{y\sqrt{2}}{\sqrt{2}*\sqrt{2}} \ \text{rationalizing denominator}\\\\x = \frac{y\sqrt{2}}{2}\\\\

Now plug in the given hypotenuse y = 42, this leads to,

x = \frac{y\sqrt{2}}{2}\\\\x = \frac{42\sqrt{2}}{2}\\\\x = \frac{42}{2}\sqrt{2}\\\\x = 21\sqrt{2}\\\\

---------------------------

For a 30-60-90 triangle, the hypotenuse is double that of the short leg. So the hypotenuse is 2*7 = 14.

The longer leg is equal to sqrt(3) times the short leg. The longer leg is 7\sqrt{3}

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