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motikmotik
3 years ago
8

What is the least common denominator (LCD) of 12 and 23?

Mathematics
1 answer:
leva [86]3 years ago
7 0

Answer: none of those, 276...?

Step-by-step explanation:

You need to know the least common denominator (LCD) of 12 and 23 if you want to add or subtract two fractions with 12 and 23 as denominators.

The least common denominator, also called lowest common denominator (LCD), of 12 and 23 is 276.

Here is a math problem example where you need to know the LCD of 12 and 23 to solve:

3/12 + 2/23 = ?

Step 1) Take the LCD and divide each denominator by it as follows:

276/12 = 23

276/23 = 12

Step 2) Multiply each nominator with the respective answers from Step 1:

3 x 23 = 69

2 x 12 = 24

Step 3) Put it all together to solve the problem:

69/276 + 24/276 = 93/276

= 3/12 + 2/23 = 93/276

It's that easy! Once again, the lowest common denominator (LCD) of 12 and 23 is as follows:

276

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Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Maximum capacity of hard drive = 500 GB

Space used up = 58 GB

Size per movie = 8GB

Number of movies = x

1)

[(Number of movies * size per movie) + used up space] should be less than or equal to the maximum capacity to f the drive.

From Elena's inequality, the total space taken up by movies + used up space is greater than total capacity of hard drive.

That is ;

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8 0
3 years ago
Solve the system by the substitution method. Show your work.<br> 2y - x = 5<br> x^2 + y^2 - 25 = 0
Elza [17]
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x = 2y - 5

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6 0
3 years ago
A triangle has side lengths of 10, 11, and 15 . what type of triangle is it?
Trava [24]
Answer: scalene and obtuse

Justification:

You can find the angles using the law of cosine:

c^2 = a^2 + b^2 - 2abcos(γ)

=> cos(γ) = [a^2 + b^2 - c^2] / (2ab)

1) cos(γ) = [10^2 + 11^2 - 15^2] / (2*10*11) = - 0.0181818

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2) cos(α) = [b^2 + c^2 - a^2 ] / 2bc = [11^2 + 15^2 - 10^2] / (2*11*15] = 0.7454545

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=> β = arccos(0.68) ≈ 47.2°

4) Verification: 91° + 41.8° + 47.2° = 180°

5) The triangles with the three different sides are called scalenes (which you can tell with only the measures of the sides).

6) The triangles with one angle greater than 90° are called obtuse.

So, the triangle is scalene and obtuse.
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