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igor_vitrenko [27]
3 years ago
13

Find the volume of the rectangle 4 2/3cm,9 1/8cm, 2cm

Mathematics
1 answer:
amm18123 years ago
6 0

Answer:

\large\boxed{V=85\dfrac{1}{6}\ cm^3}

Step-by-step explanation:

The formula of a volume of a rectangular prism:

V=lwh

l - length

w - width

h - height

We have

l=4\dfrac{2}{3}\ cm=\dfrac{4\cdot3+2}{3}\ cm=\dfrac{14}{3}\ cm\\\\w=9\dfrac{1}{8}\ cm=\dfrac{9\cdot8+1}{8}\ cm=\dfrac{73}{8}\ cm\\\\h=2\ cm

Substitute:

V=\dfrac{14}{3}\cdot\dfrac{73}{8}\cdot2=\dfrac{7}{3}\cdot\dfrac{73}{2}\cdot1=\dfrac{511}{6}=85\dfrac{1}{6}\ cm^3

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Answer:

C . 63 + 36 = 9(7 + 4)

Step-by-step explanation:

Jenna sold 63 bracelets at one craft fair and 36 bracelets at a second craft fair. Which expression correctly applies the distributive property to show equivalent expressions for the total number of bracelets she sold?

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63 + 36 = 3(21 + 9)

To “distribute” means to divide something or give a share or part of something.

According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

To determine the distributive property to show equivalent expression, find the common factors of 63 and 36

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Common factors of 63 and 36 are 3 and 9

Using 3

3(21 + 12)

Using 9

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3(21 + 12) is not one of the options, therefore, 9(7 + 4) is the answer

Option C gives the distributive property

63 + 36 = 9(7 + 4)

63 + 36 = 63 + 36

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Use trig identities to transform the left side of the equation to the right side.
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<u>Answer and explanation</u>

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