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Novay_Z [31]
3 years ago
6

If a triangle has side lengths of 12,24 and 8 what is the hypotenuse side?

Mathematics
1 answer:
vladimir1956 [14]3 years ago
7 0

Answer:

24.

Step-by-step explanation:

The hypotenuse of a triangle is simply the slanted side of a triangle and it is always the longest side of any triangle.

Mathematically, the hypotenuse of a triangle is calculated using the Pythagorean theorem;

C² = A² + B²

Where;

C is the hypotenuse i.e the longest side.

A is the opposite side of the triangle.

B is the adjacent side of the triangle.

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If a coin is flipped 76 times how many times will it land on heads
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3 years ago
On Monday billy spent 4 1/4 hours studying.On Tuesday he spent another 3 5/9 hours studying what is the combined time he spent s
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Answer:

7\frac{29}{36}\ hours

Step-by-step explanation:

Given:

Time spent on Monday (M) = 4\frac{1}{4}\ hours

Time spent on Tuesday (T) = 3\frac{5}{9}\ hours

Now, the total combined time spent on study is equal to the sum of the times spent on Monday and Tuesday.

So, we need to add both the times to get the combined time spent on studying.

The combined study time is given as:

Total time spent = Time spent on Monday + Time spent on Tuesday

Total\ time=4\frac{1}{4}+3\frac{5}{9}\\\\Total\ time = \frac{4\times 4+1}{4}+\frac{3\times 9+5}{9}\\\\Total\ time = \frac{17}{4}+\frac{32}{9}\\\\\textrm{Taking LCD of 9 and 4 as 36, we get:}\\\\Total\ time = \frac{17\times 9}{4\times 9}+\frac{32\times 4}{9\times 4}\\\\Total\ time = \frac{153}{36}+\frac{128}{36}\\\\\textrm{Since the denominators are same, we add the numerators.}\\\\Total\ time = \frac{153+128}{36}\\\\Total\ time = \frac{281}{36}\ hours

Divide 281 by 36. The quotient is the whole number part, the remainder is the numerator part and the denominator remains the same.

So, on dividing, we get 7 as quotient and 29 as remainder. So, converting to mixed fractions, we get:

Total\ time = 7\frac{29}{36}\ hours

Therefore, the  the combined time he spent studying is 7\frac{29}{36}\ hours

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