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Ratling [72]
4 years ago
12

A box is created from a sheet of cardboard 20 in. on a side by cutting a square from each corner and folding up the sides. Let x

represent the length of the sides of the squares removed from each corner. Find an expression for the volume of the box in terms of x

Mathematics
1 answer:
Digiron [165]4 years ago
5 0
Assuming the sheet is a square

see diagram
the length will be 20-2x
the width will be 20-2x
and the height will be x

the volume will be (20-2x)(20-2x)(x)

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Please help! I would also like an explanation on how you find the answer if possible.
pentagon [3]

check the picture below.

3 0
3 years ago
A maintenance technician sights the top of a telephone pole at a 25° angle of elevation as shown. Technician Telephone Pole Dete
Bumek [7]

Answer:

x = 375.3

Step-by-step explanation:

Given

See attachment for illustration

Required

Determine the horizontal distance

The horizontal distance is the distance between the technician and the base of the pole.

Represent this with x.

The relationship between x, 175ft and 25 degrees is represented as:

tan(25^{\circ}) = \frac{175}{x} --- i.e. tan formula

Multiply both sides by x

x * tan(25^{\circ}) = \frac{175}{x} * x

x * tan(25^{\circ}) = 175

Make x the subject

x = \frac{175}{tan(25^{\circ})}

x = \frac{175}{0.4663}

x = 375.294874544

x = 375.3 --- approximated

<em>The distance is approximately 375.3ft</em>

7 0
3 years ago
Simplify the expression below as much as possible. PLEASE PLEASE HELP ASPA PLEASE THE PROBLEM IS IN THE PICTURE
evablogger [386]

Answer: 1 + 8i

Step-by-step explanation:

-4i, 4i, and -8i all have their variable in common, therefore -4i + 4i = 0 and 0 + 8i = 8i

6 + -3 - 2 = 1

3 0
4 years ago
How do you know if a table is proportional
alexgriva [62]

Answer:

To see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportional ratios.

3 0
3 years ago
The sum of the angle measures of any triangle is 180 degrees. Suppose that one angle in a triangle has a degree measure of −7x10
katrin [286]
Third Angle = 180- (-70+-8) -----> Third Angle = 102
3 0
3 years ago
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