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Over [174]
3 years ago
12

I need help with this

Mathematics
1 answer:
Softa [21]3 years ago
8 0
Nothing can be done with this question!
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How far can the center of the box be from the end of the table before the board begins to tilt?
Vesnalui [34]

in case of box start being tilt,

box should be half out the table,

<h3>What is COM?</h3>

The Center of Mass of an object or system of objects is a location that is specified in relation to those objects. The Center of Mass of a system is the location where all of its components are on average when they are all weighted in accordance with their masses. The centroid is where basic stiff objects with homogenous density have their centers of mass. Sometimes an object's Center of Mass might not be directly over it. The Center of Mass would be on the Center in the event of a uniform disc, but there would be no material in the case of a ring where the Center of Mass would be on the Center.

The Centre of Mass for intrinsic shapes can be defined as the position where the sum of all of its weighted position vectors of all the parts equals zero.

In this we can use the Center of Mass concept,

As it will leave table when normal is not acting from the table at the center of mass.

So, as in case of box measuring ( x, y, z ) the center of mass from any point of the box is \sqrt{x^{2} +y^{2}+ z^{2}  }

So in case of box start being tilt,

box should be half out the table,

So that COM must be just outside the table

To learn more about Position vector , visit,

brainly.com/question/1563531

#SPJ1

7 0
1 year ago
The product of two fractions that are each between 0 and 1 is also between 0 and 1.
Len [333]

They would be any fraction between 0 and 1.

Example- 1/3 * 1/2 = 1/6 (They all are less than one)

                1/5 * 1/8 = 1/40

5 0
3 years ago
Read 2 more answers
Olivia is making scarves each scarf will have 5 rextangles and 2/5 of the rectangles will be purple .How many purple rectangles
SIZIF [17.4K]
She will need 6 purple rectangles
6 0
3 years ago
An open box is to be made out of a 6-inch by 14-inch piece of cardboard by cutting out squares of equal size from the four corne
lawyer [7]

Answer:

The dimensions of the resulting box that has the largest volume is 1.3 inches x 1.3 inches

Step-by-step explanation:

Card board size is L= 14 inches and

W = 6 inches

Let x be the size of equal squares cut from 4 corners and bent into a box whose size is now;

L = 14 − 2x , W = 6 −2x and h = x inches.

Volume of the box is given as;

V = (14 −2x)(6−2x)x

V =(4x² − 40x + 84)x

= 4x³ − 40x² + 84x.

Now, for the maximum value,

dV/dx =0

Thus,

dv/dx = 12x² - 80x + 84 = 0

Using quadratic formula

x = [-(-80) ± √(-80²) - 4(12 x 84)]/(2 x 12)

x = [80 ± √(6400 - 4032)]/24

x = (80 + 48.66)/24 or (80-48.66)/24

x = 5.36 or 1.31

Looking at the two values, 1.31 would be more appropriate because if we use 5.36,we will get a negative value of the width (W).

Thus, x = 1.31 inches

Let us use the Second Derivative Test to verify that V has a local maximum at x = 1.31.

Thus;

d²v/dx² = 24x - 80 = 24(1.31) - 80 = -48.56

This is less than 0 and therefore, the volume of the box is maximized when a 1.31 inch by 1.3 inch square is cut from the corners of the cardboard sheet.

3 0
3 years ago
If a tax percentage is 8% how much money would something $30 be?
lora16 [44]
<span>If the base rate of Taxation percentage is only 8%, and the item in question that is being taxed costs $30, then the answer of how much the tax will cost ends up being 8% of 30. 8% of 30 is 2.4 so 8% of $30 is $2.40. So the cost of the $30 item, including tax, is $32.40.</span>
6 0
3 years ago
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