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1 year ago

How to solve this questions

Mathematics

1 answer:

Lapatulllka [165]1 year ago

6 0

Answerno idea

Step-by-step explanation:

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The perimeter of a rectangular baking sheet is 58 inches and its area is 201.25 in.2. What are the length and width of the bakin

anzhelika [568]

Answer:

$Length=17.5\ in\\\\Width=11.5\ in$

Step-by-step explanation:

The formula for calculate the Area of a rectangle is:

$A=lw$

Where "l" is the lenght and "w" is the width.

And the formula for calculate the peimeter of a rectangle is:

$P=2l+2w$

Where "l" is the lenght and "w" is the width.

We know that the perimeter of the rectangular baking sheet is 58 inches and its area is 201.25 in². Then:

$A=201.25\ in^2\\\\P=58\ in$

<u>The steps are:</u>

1. Solve for the "l" from the formula $A=lw$ :

$A=lw\\\\l=\frac{A}{w}\\\\\l=\frac{201.25}{w}$

2. Substitute $l=\frac{201.25}{w}$ into the formula $P=2l+2w$ and solve for "w":

$58=2(\frac{201.25}{w})+2w\\\\58=\frac{402.5}{w}+2w\\\\58=\frac{402.5+2w^2}{w}\\\\58w=402.5+2w^2\\\\2w^2-58w+402.5=0$

Applying the Quadratic formula $x=\frac{-b\±\sqrt{b^2-4ac}}{2a}$ , we get:

$x=w=\frac{-(-58)\±\sqrt{(-58)^2-4(2)(402.5)}}{2(2)}\\\\w_1=17.5\\\\w_2=11.5$

3. Substitute $w_1=17.5$ into $l=\frac{201.25}{w}$ :

$l=\frac{201.25}{17.5}=11.5$

4. Substitute $w_2=11.5$ into $l=\frac{201.25}{w}$ :

$l=\frac{201.25}{11.5}=17.5$

Therefore, since the value of the lenght of a rectangle must be greater that the value of the width, we can conclude that the lenght and the width of the rectangular baking sheet are:

$l=17.5\ in\\\\w=11.5\ in$

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2 years ago

How to use exponents

Ira Lisetskai [31]

5
2 = 32

Exponents are like a simplified or easier version of multiplying
2*2*2*2*2

People use exponents in real life. For an example, they use it for finding cubic feet ,square feet, or area of something or an object.

Sorry if I am bad at explaining this or if I confused you

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3 years ago

John purchased a carr in 1961 for $12,000. Experts estimate that its value will increase by 5% per year. How much will be the co

dexar [7]

Answer:

Step-by-step explanation:

I'm super lazy rn and it doesn't need explanation

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2 years ago

K(x) = 6x + 100<br> k(-5) =

algol13

Answer:

Step-by-step explanation:

Plug the -5 into the x symbol shown in the equation since -5 replaces x:

6(-5) + 100 = 70

DONE!!

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2 years ago

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What is the probability that out of 65 lambs born on Wooly Farm, at least 32

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It’s probably choice c

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2 years ago