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Marrrta [24]
3 years ago
10

Find the difference -3/4 - 15/16 = ? Simplify answer .break it down fully pls

Mathematics
1 answer:
frutty [35]3 years ago
3 0

<em><u>The difference is:</u></em>

\frac{-3}{4} - \frac{15}{16} = \frac{-27}{16}

<em><u>Solution:</u></em>

Given expression is:

\frac{-3}{4} - \frac{15}{16}

We have to find the difference

To find the difference, make the denominators same

<em><u>Find the least common multiple of 4 and 16</u></em>

List all prime factors for each number.

Prime Factorization of 4 is:  2 x 2

Prime Factorization of 16 is:  2 x 2 x 2 x 2

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

2, 2, 2, 2

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 2 = 16

Make the denominators as 16

\rightarrow \frac{-3}{4} - \frac{15}{16} = \frac{-3 \times 4}{4 \times 4} - \frac{15 \times 1}{16 \times 1}\\\\\rightarrow \frac{-3}{4} - \frac{15}{16} = \frac{-12}{16} - \frac{15}{16}\\\\\rightarrow \frac{-3}{4} - \frac{15}{16} = \frac{-12-15}{16}\\\\\rightarrow \frac{-3}{4} - \frac{15}{16} = \frac{-27}{16}

Thus the difference is \frac{-27}{16}

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Answer:

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Step-by-step explanation:

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4 0
3 years ago
You roll a six-sided die twice. What is the probability of rolling an even number and then an odd number?
nlexa [21]

Answer:

C) 1/4

Step-by-step explanation:

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4 years ago
See image, finding the height of a triangle with law of sines
djyliett [7]

Answer:

height of the Eiffel tower ≈ 300.0 m(nearest tenth of a meter)

Step-by-step explanation:

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°.

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angle DTE = 180° - 117° - 31° = 32°

DE = 346.4 m

Side TD can be find using sine law

346.4/sin 32° = TD/sin 31°

cross multiply

346.4 × 0.51503807491  = 0.52991926423TD

178.409189149  = 0.52991926423TD

divide both sides by 0.52991926423

TD = 178.409189149/0.52991926423

TD  =  336.672397461

TD ≈ 336.67 m

The side TD becomes the hypotenuse of the new right angle triangle formed with the height of the Eiffel tower.

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h = 336.67 × 0.89100652418

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3 years ago
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adoni [48]

Answer:

983,040

Step-by-step explanation:

4×5=20

6×32=192

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5 0
2 years ago
Use the result of the previous question and write it
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Answer:

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