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s2008m [1.1K]
3 years ago
7

The perimeter of a rectangle is 160 feet. If the length of the rectangle is 28 feet more than the width, what are the dimensions

of the rectangle?
Mathematics
1 answer:
Marat540 [252]3 years ago
8 0

Answer:

width = 26 ft

length = 54 ft

Step-by-step explanation:

perimeter = 160 ft

width = x

length = x + 28

Perimeter = 2(width) + 2(length)

2x + 2(x + 28) = 160 \\ 2x + 2x + 56 = 16 0\\ 4x = 160 - 56 \\ x =  \frac{104}{4}  \\ x = 26

width = x = 26

length = x + 28 = 26 + 28 = 54

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Answer:

Each of the three friends will get one-sixth of the Thomas's enitre marble collection.

Step-by-step explanation:

Fraction of the total marble collection brought by Thomas = \frac{1}{2}

Now, Thomas divides these marbles equally among his three friends. So, each of the three friends will get one-third of the total marble collection brought by Thomas.

Fraction of total marble collection got by each friend = \frac{1}{3} \;of\;fraction\;of\;total\;marble\;collection\;brought\;by\;Thomas

= \frac{1}{3}\times\frac{1}{2}=\frac{1}{6}

∴ Each of the three friends of Thomas will get one-sixth of his entire collection of marbles.

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Choice 1: Angela and Kellie went to lunch. Their bill before tax was $20.00. Tax is 8%. How much tax should
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4 0
3 years ago
WHICH INEQUILITY IS EQUIVALENT TO X-4<9
frez [133]

-------------------------------------------------------------------------------------------------------------

Answer:  \textsf{x} < \textsf{13}

-------------------------------------------------------------------------------------------------------------

Given:  \textsf{x - 4} < \textsf{9}

Find: \textsf{The simplified inequality}

Solution:  In order to simplify the inequality we can simply add 4 to both sides which would isolate x.

<u>Add 4 to both sides</u>

  • \textsf{x - 4 + 4} < \textsf{9 + 4}
  • \textsf{x} < \textsf{9 + 4}
  • \textsf{x} < \textsf{13}

Therefore, an inequality that would be equivalent to the one that was provided in the problem statement is x < 13.

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The two rectangular prisms are similar. What is the volume of the larger rectangular prism? 240 cm³ 540 cm³ 1620 cm³ 3240 cm³ A
Andreas93 [3]

Volume of a figure is measure of the space it occupies. The volume of the larger rectangular prism is given as: Option C: 1620 cm³

<h3>How to calculate volume of a rectangular prism?</h3>

If a rectangular prism has dimensions <u>a</u> unit, <u>b</u> unit, and <u>c</u> units, then its volume is given as

V = a \times b \times c \: \rm unit^3

<h3>What are similar figures?</h3>

They are scaled. It means, if two figures are similar, then we can get one figure from another by multiplying some constant value(same for one pair of similar figure) to its dimensions.

For example,

if for given case, one rectangular prism has got dimensions a, b, and c centimetres, then

the second rectangular prism, which is similar, let the scale factor is 'd',t then second prism's dimensions will be a x d units, b x d units, and  c x d units.

For first prism(smaller), its one side is given to be 5 cm, let its other two sides be 'b' cm, and 'c' cm, then,

60 \: \rm cm^3 = 5\times b\times c \\\\b\times c = \dfrac{60}{5} = 12

Now, the larger prism has 15 cm corresponding side, thus, scale factor was 3 (since 15 is 3 times 5).

Thus, its dimensions would be 15, 3 x b, 3 x c

Thus, its volume would be

15 \times 3 \times b \times 3 \times c = 135 \times  b\times c = 135 \times 12 = 1620 \: \rm cm^3

Thus,

The volume of the larger rectangular prism is given as: Option C: 1620 cm³

Learn more about volume of rectangular prism here:

brainly.com/question/21308574

5 0
3 years ago
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