All categories

3 years ago

The least common denominator of 1/2, 1/6, and 1/9 is:

Mathematics

2 answers:

solmaris [256]3 years ago

4 0

Answer:

Step-by-step explanation:

Find the factors of each denominator

2 = 1*2

6 = 2*3

9 = 3*3

The least common multiple is

2*3*3 = 18

The least common denominator is 18

dezoksy [38]3 years ago

3 0

Answer:

The LCD is 18.

Step-by-step explanation:

2 = 2

6 = 2*3

9 = 3 * 3

The Least Common Multiple = 2 * 3* 3 = 18 (because there is 1 pairs of 2's and 1 pair of 3's in the factors, so only 1 of each appear in the calculation).

You might be interested in

A road has a 10% grade, meaning increasing 1 unit of rise to every 10 units of run.

fenix001 [56]

The grade is the ratio of rise to run, i.e. the slope aka the tangent.

$\tan \theta = \dfrac{1}{10}$

$\theta = \arctan 0.1 \approx 5.711^\circ$

Answer: (a) 6 degrees

For part b, the road is the hypotenuse c of a right triangle whose tangent of the small angle is 1/10. The height h or rise is the side opposite the small angle.

$\sin\theta = \dfrac h c$

$h = c \sin \theta$

We could just take the sine of the angle we got but let's get it from the tangent exactly.

$\cos^2 \theta + \sin ^2 \theta = 1$

Dividing by squared cosine

$1 + \tan ^2 \theta = 1/\cos^2 \theta = 1/(1- \sin^2 \theta)$

$(1- \sin^2 \theta) = 1/(1 + \tan^2 \theta)$

$\sin^2 \theta = 1 - 1/(1 + \tan^2 \theta)$

$\sin^2 \theta = 1 - 1/(1 + (1/10)^2) = 1-1/(101/100) = 1/101$

$h = c \sin \theta = 2 \sqrt{1/101} \approx 0.199$

Answer: (b) Rise of 0.199 km

6 0

3 years ago

Tuition at a community college increased from$55.00 to $62.00 per semester hour what is the % of increase..??

zlopas [31]

To find the percent of increase take the difference of the two divided by the original. (62-55)/55 = .12727272727. So 13% if they want you to round to the nearest percent.

3 0

2 years ago

Pedro is playing a game where he has to roll a fair number cube with faces labeled from 1 to 6. What is the probability that he

Rudiy27

Answer:

50%

Step-by-step explanation:

Hope it helps

3 0

2 years ago

The way a persuasive person is that will attract good business relationships

Grace [21]

Ok......................

5 0

2 years ago

Which ratio is bigger? 6:10 or 8:15

Annette [7]

<h2><u>Answer: 6:10</u></h2>

Step-by-step explanation: 6:10 = 0.6 and 8:15 ≈ 0.53

3 0

2 years ago

Read 2 more answers