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2 years ago

14

Danica has laid out floor tiles so they form a rectangle with a perimeter of 18 inches. what is the difference between the great

est and least possible areas of the rectangle

1 answer:

Keith_Richards [23]2 years ago

3 0

I believe this is right:
Least: 8 (length) x 1 (width) = 8
Greatest: 5 (length) x 4 (width) = 20
Difference: 20 - 8 = 12

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Flura [38]

we know that

The <u>Triangle Inequality Theorem</u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

so

Let

s------> the length of the third side

$25+s > 35 \\ s > 35-25 \\ s> 10\ cm$

$25+35 > s \\ 60 > s \\ s< 60\ cm$

$10\ cm < s < 60\ cm$

therefore

<u>The answer part a) is</u>

$10\ cm < s < 60\ cm$

we know that

the perimeter of a triangle is the sum of the length sides

In this problem

$P=25+35+s\\P=60+s$

<u>For $s> 10\ cm$ </u>

the perimeter is equal to

$P > 60+10\\ P>70\ cm$

<u>For $s< 60\ cm$ </u>

the perimeter is equal to

$P < 60+60\\ P$

so

$70\ cm < P < 120\ cm$

therefore

<u>the answer part b) is</u>

$70\ cm < P < 120\ cm$

4 0

3 years ago

Read 2 more answers

Ashley brought 7/8 gallon of lemonade to the party. her friends 2/3 drink of it. how many gallons of lemonade did they drink?

Agata [3.3K]

Her friends drink 5/24 gallons of lemonade. (I hope I'm right)

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3 years ago

Suppose you pick a tile out of a bag containing 26 tiles marked with the letters A through Z. What is the probability of picking

Liula [17]

Given that <span>a bag contains 26 tiles marked with the letters A through Z.

The probability of picking a letter from the name JACK is 4 / 26

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Therefore, the probability of picking a letter from the name JACK or from the name BEN iis given by 4 / 26 + 3 / 26 = 7 / 26 </span>

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2 years ago

If an airplane in a 1 in. : 4 ft. scale drawing is 5 in. long, how long is the actual airplane? Use proportions to solve the pro

Lunna [17]

Answer:

20ft

Step-by-step explanation:

20ft is the answer because you would do 4 x 5 = 20, since the scale factor is 1in : 4ft

Hope this helped :)

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2 years ago

To be considered as a menu item for Gloria's new restaurant an item must have scored in the top 15% by the food critics in the a

vladimir1956 [14]

Answer:

Lowest score needed=4.92

Step-by-step explanation:

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For area of 15% we have Z= -1.04

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$Z=\frac{X-\overline{X}}{\sigma }\\\\\therefore X=\sigma Z+\overline{X}\\\\$

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3 0

3 years ago