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kotegsom [21]
3 years ago
5

A building in a city has a rectangular base. The length of the base measures 65 ft less than twice the width. The perimeter of t

his base is 770 ft. What are the dimensions
of the base?
Mathematics
1 answer:
Reika [66]3 years ago
8 0

Answer:

  • 235 ft long
  • 150 ft wide

Step-by-step explanation:

In order to find two unknown values, length and width of a rectangle, you must have two independent relations between those values. One relation is given in the problem statement:

  L = 2W -65 . . . . . length is 65 ft less than twice the width

Another relation is given by the formula for the perimeter of a rectangle:

  P = 2(L +W) . . . . with P = 770 given in the problem statement

__

Using the first relation for L, we can substitute into the relation for perimeter to get ...

  770 = 2((2W -65) +W)

  770 = 6W -130 . . . . . . . . simplify

  900 = 6W . . . . . . . . . add 130 to both sides

  150 = W . . . . . . . . divide both sides by 6

  L = 2(150) -65 = 235 . . . . . use the equation for L to find the length

The base is 235 feet long and 150 feet wide.

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Answer:

The third side is 5.7 centimeters.

Step-by-step explanation:

The hypothenuse is the largest side of a right triangle. So in this question, we know that the hypothenuse is 7.

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Applying Pythagoras' Theorem:

x^{2} + 4^{2} = 7^{2}

x^{2} = 49 - 16

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Step-by-step explanation:


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What would be the slope intercept form?​
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3 years ago
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Samuel and Jason spent 3/4 of their combined earnings from 100 by gift. How much do they spend? Is there enough left over from W
-Dominant- [34]

They spend $5.88 on a gift, but there is not enough money left over to spend $3.25 on a card, if Samuel and Jason spent 3/4 of their combined earnings from 100 by gift.

<h3>Define equation.</h3>

A formula that expresses the connection between two expressions on each side of a sign is called equation. Typically, it has a single variable and an equal sign. Like this: 2x - 4 Equals 2.

Given,

Samuel and Jason spent 3/4 of their combined earnings from 100 by gift.

Samuel and Jason's profits as of Wednesday are as follows:

Earnings for Samuel:

12.5 x 40  

$5.

Earnings for Jason are

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The total revenue for Wednesday is:

Samuel's and Jason's combined incomes are equal.

Earnings totaled

$5 + $2.84 = $7.84

The money that was spent is:

Total income multiplied by 34 equals spent income.

Earnings spent = 7.84 x 1/4

Earnings spent =  $5.88

The remainder is:

Equation

Leftover = Total Earnings - Spent Earnings

7.84 - 5.88 =  $1.96 in leftovers.

They spend $5.88 on a gift, but there is not enough money left over to spend $3.25 on a card.

To learn more about equation, visit:

brainly.com/question/2420339

#SPJ1

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Answer:

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