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katrin2010 [14]
3 years ago
7

Ebony walked at a rate of 3 1/2 miles per hour for 1 1/3 hours. how far did she walk?

Mathematics
2 answers:
Sedaia [141]3 years ago
5 0
Im wondering the same thing i have this question to
Llana [10]3 years ago
5 0

Answer:

She walked 4\frac{2}{3} miles

Step-by-step explanation:

Speed of ebony = 3\frac{1}{2} miles/hour

                           = \frac{7}{2} miles/hour

Time Taken =1\frac{1}{3} hours.

                   =\frac{4}{3} hours.

We are supposed to find how far did she walk i.e. Distance

Formula : Distance = Speed \times Time

Distance = \frac{7}{2} \times \frac{4}{3}

Distance = \frac{14}{3}

Distance = 4\frac{2}{3}

Hence she walked 4\frac{2}{3} miles

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Answer:

The correct answer B) The volumes are equal.

Step-by-step explanation:

The area of a disk of revolution at any x about the x- axis is πy² where y=2x. If we integrate this area on the given range of values of x from x=0 to x=1 , we will get the volume of revolution about the x-axis, which here equals,

\int\limits^1_0 {(pi)y^{2} } \, dx

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Now we have to calculate the volume of revolution about the y-axis. For that we have to first see by drawing the diagram that the area of the CD like disk centered about the y-axis for any y, as we rotate the triangular area given in the question would be pi - pi*x². if we integrate this area over the range of value of y that is from y=0 to y=2 , we will obtain the volume of revolution about the y-axis, which is given by,

\int\limits^2_0 {pi - pix^{2} } \, dy = \int\limits^2_0 {1 - y^{2}/4 } \, dy

If we just evaluate the integral as usual we will get 4pi/3 again(In the second step i have just replaced x with y/2 as given by the equation of the line), which is the same answer we got for the volume of revolution about the x-axis. Which means that the answer B) is correct.

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2 years ago
The area of a rectangular wall of a barn is 140 square feet. Its length is 6 feet longer than twice its width. Find the length a
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Step-by-step explanation:

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3 years ago
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