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alukav5142 [94]
3 years ago
12

This might take forever but I’ll mark u as brainlist!! This is due tomorrow lol

Mathematics
1 answer:
AysviL [449]3 years ago
4 0
The vertex is x and the y intercept is 2
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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

8 0
3 years ago
(45 POINTS AND BRAINLIEST FOR FIRST ANSWER)
dezoksy [38]

Addition: negative four plus negative four plus negative four equals negative twelve

Multiplication: negative four times three equals negative twelve

Division: twelve divided by 3 equals negative four

8 0
3 years ago
Read 2 more answers
Please help me and if I can I’ll help you but please I don’t get it!!
kobusy [5.1K]

Step-by-step explanation:

To solve this problem, let's set up our equation to solve for x (time to travel 13 miles).

\frac{65}{1} =\frac{13}{x}

We use this equation to find x. To solve, we divide 13 by 65 to get our answer.

13 ÷ 65 = 0.2

Our answer: 0.2 hours

4 0
2 years ago
Here is a right-angled triangle.
lilavasa [31]

It is given that, ABC BC =6.5cm CA=6.3cm AB=4.8cm Steps involved in construction Step 1: First draw a line segment AB = 4.8cm using pencil and ruler And mark one end A and other end B Step 2: From the point A draw an cm Step 3: From the point B draw an arc of length 6.5 cm Step point of intersection of these arc as C. Step 5: Join A and C & B and C. Now the triangle ABC is ready with BC =6.5cm CA=6.3cm AB=4.8cm

4 0
2 years ago
What is m∠N?<br> A. 19°<br> B. 68°<br> C. 95°<br> D. 112°
Gennadij [26K]
It would be B. 68

I hope this help!
6 0
2 years ago
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