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3 years ago

Which fractions have a LCD of 84? A. 3/4, 1/7, 1/6 B. 2/3, 1/6, 1/42 C. 2/27, 1/7, 1/3 D. 2/3, 1/6, 1/7

Mathematics

2 answers:

ExtremeBDS [4]3 years ago

5 0

Answer:

A. $\frac{3}{4} , \frac{1}{7} , \frac{1}{6}$

Step-by-step explanation:

4 × 16 = 84

7 × 12 = 84

6 x 14 = 84

Hope this helps!

Nata [24]3 years ago

4 0

Hope this helped you!

/21 and /84

/28 and /42

/28 and /84

/42 and /84

/84 and /84

Answer:

Any with denominators of which their lowest common multiple is 84; for pairs of fractions these are:

whole numbers and /84

/2 and /84

/3 and /28

/3 and /42

/3 and /84

/4 and /21

/4 and /42

/4 and /84

/6 and /28

/6 and /84

/7 and /12

/7 and /84

/12 and /14

/12 and /21

/12 and /28

/12 and /42

/12 and /84

/14 and /84

/21 and /28

There are further possible fractions when there are three at a time, and so on upwards. With 12 fractions at a time they can all have different denominators, namely:

whole numbers, /2, /3, /4, /6, /7, /12, /14, /21, /28, /42 and /84

Though there are other possibilities with one or more repeated denominators.

With 13 or more fractions, some of them of necessity will have the same denominator since there are only 12 factors of 84, namely: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 & 84.

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The height of the base is 12cm.

The approximate amount of cardboard used to make the candy box is 720 cm².

Given

A candy bar box is in the shape of a triangular prism.

The volume of the box is 1,200 cubic centimeters.

A triangular prism is shown with a base of the triangle labeled 10 cm, sides of the triangles labeled 13 cm, and length of the box equal to 20 cm.

<h3>The volume of the prism;</h3>

The volume of a triangular prism is given by the formula;

$\rm Volume=\dfrac{1}{2} \times length \times width \times height$

Part A: What is the height of the base?

The height of the base is given by;

$\rm Volume=\dfrac{1}{2} \times length \times width \times height\\\\1200=\dfrac{1}{2}\times 20 \times 10 \times Height\\\\Height =\dfrac{1200\times 2}{20 \times 10}\\\\Height =\dfrac{2400}{200}\\\\Height = 12 \ cm$

The height of the base is 12cm.

Part B: What is the approximate amount of cardboard used to make the candy box?

The approximate amount of cardboard used to make the candy box is given by;

$\rm Area = 2 \times length \times width+ length \times width \\\\Area = 2\times 20 \times 10+ 20\times 10\\\\Area = 520+200 \\\\Area = 720$

The approximate amount of cardboard used to make the candy box is 720 cm².

To know more about triangular prism click the link given below.

brainly.com/question/17056191

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