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Talja [164]
3 years ago
5

The art class is making wind chimes out of tin cans. Each can is 4.5 inches tall with radius of 1.5 inches. The students have to

paint the outside portions of the cans. What is the lateral area for one of the tin cans?
Use 3.14 for π.


Question 5 options:



42.39 in2



21.195 in2



49.455 in2



67.5 in2
Mathematics
2 answers:
MatroZZZ [7]3 years ago
5 0
42.39 inches squared, or the first option

A can is shaped like a cylinder. So, to find the lateral area of the tin can we must follow the lateral area formula for a cylinder, or 2 • π • radius • height

You can simply substitute the values from here.

The question wants you to use 3.14 instead of π, so the formula becomes 2 • 3.14 • radius • height

The can's radius is 1.5 inches and its height is 4.5 inches, so the formula becomes 2 • 3.14 • 1.5 • 4.5

Now we just solve: 2 • 3.14 • 1.5 • 4.5 = 42.39, so the lateral area is 42.39 inches squared.
kirza4 [7]3 years ago
5 0

i took the quiz and got the first answer correct

it's 42.39, hope this helped!

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Answer:

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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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Step-by-step explanation:

Picture is missing: find it in attachment.

The area of a triangle is given by

A=\frac{1}{2}bh

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For triangle ABE, we know that

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Learn more about area of figures:

brainly.com/question/4599754

brainly.com/question/3456442

brainly.com/question/6564657

#LearnwithBrainly

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