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Delicious77 [7]
4 years ago
9

An open box is to be made from a flat piece of material 19 inches long and 3 inches wide by cutting equal squares of length xxfr

om the corners and folding up the sides. Write the volume VVof the box as a function of xx. Leave it as a product of factors, do not multiply out the factors.
Mathematics
1 answer:
Whitepunk [10]4 years ago
6 0

Answer:

V=x(19-2x)(3-2x)

Step-by-step explanation:

The flat piece of material is 19Inches Long and 3 Inches Wide.

If we cut a square if length x from each corner:

Length if the Box=19-x-x=19-2x

Width if the Box=3-x-x=3-2x

The flap that will be folded up will be the height.

Therefore, Height of the Box= x inches.

Volume of a cuboid=lwh

Therefore the volume of the box will be:

V=x(19-2x)(3-2x)

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The diagram shows a 5 cm x 5 cm x 5 cm cube.
Nitella [24]

Answer:

8.7 cm

Step-by-step explanation:

The question is a 2-two-step Pythagoras theorem. (c^2 = a^2 + b^2)

Consider as such, If I were to draw a diagonal line along the base of the cube what is the length of the diagonal line. To find out that we use the theorem. We can substitute a for 5 and b for 5 as well. So

a^2 +b^2 = c^2

5^2 + 5^2 = c^2

25 + 25 = c^2

√50 = c

Then since the line side of the cube is on a 3d angle we need to do the same process again but now using the imaginary diagonal line that we just calculated and the height (5).

a^2 +b^2 = c^2

√50^2 + 5^2 = c^2

50 + 25 = c^2

√75 = c

c = 8.6602...

<em>when rounded to 1 d.p.</em>

c = 8.7

Line AB is 8.7 cm long.

7 0
4 years ago
Please I need hep, get free brainly :D
padilas [110]

Step-by-step explanation:

<u>Formula:</u>

\boxed{a = 3.14(r)^{2} }

r represents the radius.

The radius is 1/2 of the diameter.

Since 1/2 of 16 is 8, 8 is our radius.

<u>Substitute:</u>

a = 3.14(8)^{2}

<u>Solve:</u>

a = 3.14(64)

a = 200.96in^{2}

6 0
2 years ago
Read 2 more answers
The sum of a number x and 5 equals 14.
Fudgin [204]
Sum means addition so the equation is x+5=14

To get the answer, just do 14-5 and the answer is 9
4 0
4 years ago
Graph y = -1/4x + 6. Please help!!
OverLord2011 [107]

Answer:

6  1/4

Step-by-step explanation:

6 0
3 years ago
Approximately how many degrees are in the measure of an interior angle of a regular seven sided polygon
kramer
The interior angle of a regular polygon is equal to each other since all sides of the polygon are congruent. The formula that expresses the relation of the sides of the polygon and the measurement of the interior angle is (n2)*180/n where n is 7. Each interior angle then measures 128.6 degrees.
3 0
3 years ago
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