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vladimir1956 [14]
3 years ago
14

A rectangular building has a perimeter of 208 meters. It’s area is 2415 square meters. What are the dimensions of the building?

Mathematics
1 answer:
Zepler [3.9K]3 years ago
7 0

Answer:

Step-by-step explanation:

Perimeter of rectangle = 208 m

2*(l + w) = 208  {divide both sides by 2}

l +w = 208/2

l +w = 104

l = 104 - w

Area of rectangle = 2415 square meters

l*w = 2415

Substitute l = 104 - w in the above equation,

(104 - w ) *w = 2415

104w - w² = 2415

0 = 2415 - 104w + w²

w² - 104w + 2415 = 0

Sum = -104

Product  = 2415

Factors = (-69) , (-35)

w² - 35w - 69w + (-69)*(-35) = 0

w(w - 35) - 69(w - 35) = 0

(w -35)(w -69)

w - 35 = 0    ; w  -69 = 0

w = 35    ; w = 69

The dimensions of the building: 35 , 69

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Least to greatest -6.8,|-23/4|,0,-14.4,|-1.9|,5.4
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Answer:

From Least to Greatest: -14.4, -6.8, -23/4, -1.9, 0, 5.4

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Lunch break: In a recent survey of 655 working Americans ages 25-34, the average weekly amount spent on lunch was $43.5
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Using the Empirical Rule, it is found that:

  • a) Approximately 99.7% of the amounts are between $35.26 and $51.88.
  • b) Approximately 95% of the amounts are between $38.03 and $49.11.
  • c) Approximately 68% of the amounts fall between $40.73 and $46.27.

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

The Empirical Rule states that, in a <em>bell-shaped </em>distribution:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of the mean.
  • Approximately 99.7% of the measures are within 3 standard deviations of the mean.

-----------

Item a:

43.5 - 3(2.77) = 35.26

43.5 + 3(2.77) = 51.88

Within <em>3 standard deviations of the mean</em>, thus, approximately 99.7%.

-----------

Item b:

43.5 - 2(2.77) = 38.03

43.5 + 2(2.77) = 49.11

Within 2<em> standard deviations of the mean</em>, thus, approximately 95%.

-----------

Item c:

  • 68% is within 1 standard deviation of the mean, so:

43.5 - 2.77 = 40.73

43.5 + 2.77 = 46.27

Approximately 68% of the amounts fall between $40.73 and $46.27.

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