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suter [353]
1 year ago
8

A rectangular parking lot has a perimeter of 232 feet. The length of the parking lot is 36 feet less than with. Find the length

and width
Mathematics
1 answer:
Ainat [17]1 year ago
7 0

Answer:

Length: 80 feet

Width: 36 feet

Step-by-step explanation:

232/2 = 116

116-36 = 80

(i.e. 80+80+36+36=232)

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Which expression is equivalent to 144 Superscript three-halves? 216 1,728 RootIndex 3 StartRoot 12 EndRoot RootIndex 3 StartRoot
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Question:

Which expression is equivalent to 144^(3/2)

Answer:

1728

Step-by-step explanation:

The options are not well presented. However, this is the solution to the question.

Given:

144^(3/2)

Required:

Find Equivalent.

We start my making use of the following law of logarithm.

A^(m/n) = (A^m)^1/n

So,

144^(3/2) = (144³)^½

Another law of indices is that

A^½ = √A

So,

144^(3/2) = (144³)^½ = √(144³)

144³ can be expanded as 144 * 144 * 144.

This gives

144^(3/2) = √(144 * 144 * 144)

The square root can then be splitted to

144^(3/2) = √144 * √144 * √144

144^(3/2) = 12 * 12 * 12

144^(3/2) = 1728.

Hence, the equivalent of 144^(3/2) is 1728

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Step-by-step explanation:

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