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netineya [11]
3 years ago
12

In order for the barge operator to meet his expenses, he has to haul at least 120 tons of freight. How many railroad cars must t

he barge operator haul on each trip to at least break even ?
Mathematics
1 answer:
UNO [17]3 years ago
7 0

Answer:

3

Step-by-step explanation:

An average railroad car has a weight of about 33 tons.

120 tons of freight is equivalent to 120/4 = 3.64 cars

that means that, for the operator to be able to haul 120 tons of freight, he has to haul at least 3 cars to break even.

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Maria want to make a footstool in the shape of a cylinder, as show below. She wants to fill the footstool with foam and cover it
noname [10]

Answer:

She'll need 8143 cubic inches of foam and 1,809.6  square inches of fabric.

Step-by-step explanation:

Assuming you want to know how much foam and fabric she will need...

First the foam... so we need to determine the volume of that footstool.  The Volume of a cylinder is given by:

V = π * r² * h

So, we plug in the numbers:

V = π * 12² * 18 = π * 144 * 18

V = 2,592 π  = 8143 cubic inches.

Now for the fabric... we'll assume Maria wants to cover the side of the stool and the top, but not the bottom.

The side of the stool is basically a rectangle of width of 18 inches and a length of the circumference of the base of the stool.  The circumference is given by: C = 2 π * r of course, so C = 24π = 75.14 inches.

So the lateral surface of the cylinder is:

LS = 18 * 75.14 = 1,357.2 sq inches.

Then we need to calculate the area of the top... which is easy:

A = π * r²  = π * 12²  = 144 π = 452.4 sq inches

So, to cover the lateral side of the footstool and its top, she needs to use:

TA = 1,357.2 + 452.4 = 1,809.6 sq inches of fabric.

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3 years ago
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State the domain of the function
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How much does 7 go into 125
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17 goes into 125 17.857 times
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Find the difference- (ab+3a+7)- (-5ab-2)
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3 0
3 years ago
Angie has a square dog pen with a perimeter of 20 meters. She wants to put a diagonal piece of fencing inside her pen to cut it
Dima020 [189]

Answer: 7.07 miles

Step-by-step explanation:

Hi, to answer this, first, we have to find the length of the square dog pen.

Perimeter of a square = 4 x sides

Replacing with the value given:

20 = 4 s

Solving for s:

20/4=s

Side = 5 meters

Since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (in this case length of the diagonal) and a and b are the other sides.  

Replacing with the values given:  

c^2 = 5^2 + 5^2  

c^2 = 25+25

c^2 = 50

c = √50

c = 7.07 miles  

Feel free to ask for more if needed or if you did not understand something.  

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