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2 years ago

Hellllpppp plsssss just click the picture then you see it

Mathematics

2 answers:

Solnce55 [7]2 years ago

6 0

Answer:

1. 8 + 13 = 13 + 8.

2. 6 + ( 12 + 4) = 6 + ( 4 + 12).

Step-by-step explanation:

aliina [53]2 years ago

4 0

Answer:

The Commutative Property of Addition is changing the order of the numbers to get the sum, but not changing the actual sum itself.

The Associative Property of Addition is the allowance of being able to re-group numbers and still get the same sum, or answer.

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The ratio of legs to dogs in the cat shelter was 4 to 1. If there were 8 cats , then how many cats were there?

andrezito [222]

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Step-by-step explanation:

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1 year ago

Tommy does 15 joules of work to push the pencil over 1 meter. How much force did he use?

AfilCa [17]

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3 years ago

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Serjik [45]

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3 years ago

Read 2 more answers

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:

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

8 0

3 years ago