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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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Find a fraction equivalent to 5/7 whose squared terms add up to 1184.
bogdanovich [222]

The system of equations of two unknowns is formulated and solved.

\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left\{\begin{matrix} \ \ \ \dfrac{x}{y} = \dfrac{5}{7} \\ x^2+y^2 = 1184 \end{matrix}\right. \ \Longrightarrow \ x=\dfrac{5}{7}y  } \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left (\dfrac{5}{7}y \right )^2+y^2=1184\ \Longrightarrow\ 25y^2+49y^2=58016 } \end{gathered}$}

                                                              \large\displaystyle\text{$\begin{gathered}\sf \bf{74y^{2}=58016} \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \  \ \ \ \ y^{2}=784 } \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ \ \ y=\pm\sqrt{784}=\pm28  } \end{gathered}$}

                                                                  \large\displaystyle\text{$\begin{gathered}\sf \bf{ x=\dfrac{5}{7}(\pm 28)=\pm 20  } \end{gathered}$}

The fraction that satisfies the request is \bf{\dfrac{20}{28}} , since in \bf{\dfrac{-20}{-28}} the negative signs are canceled and the first fraction is obtained.

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Answer:

d is correct

Step-by-step explanation:

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Kate Alexander worked 40 hours last week. Her pay rate is $8.50 per hour. Assuming 7.65% social security withholding, how much s
Andrej [43]
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3 years ago
Jenna can clean the gutters at her house in four hours. Her older brother, John, can clean the gutters in three hours, if they w
OlgaM077 [116]

Answer:

1 hour and 42.8 minutes

Step-by-step explanation:

To answer this question let's call t_1 while it takes Jenna to clean the gutters

Let's call t_2 while it takes John to clean the gutters

t_1 = 4 h

t_2 = 3 h

t = total time

g = job = 1 (clean the gutters)

The speed of each one is:

V_1 = \frac{1}{4} g/ h

V_2 = \frac{1}{3} g/h

V = V_1 + V_2 = \frac{g}{t} = \frac{1}{t}

So:

V = V_1 + V_2 = \frac{1}{4} +\frac{1}{3}

\frac{1}{t} = \frac{1}{4} + \frac{1}{3}= \frac{7}{12} g/h

t = \frac{12}{7} h

Then, both together paint \frac{7}{12} of gutters for each hour.

This means that it takes \frac{12}{7}  hours to clean the gutters together

Finally cleaning together takes 1,714 hours or also

1 hour and 42.8 minutes

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