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3 years ago

In the figure, which of the following edges is skew to edge AD?

1 answer:

7 0

Skew lines are two lines that do not intersect and are not parallel. Two lines that both lie in the same plane must either cross each other or be parallel, so skew lines can exist only in three or more dimensions. Two lines are skew if and only if they are not coplanar.

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The sum of five times h and twice g is equal to 23

PilotLPTM [1.2K]

Five times h is 5h
Twice g is 2g
So...

5h+2g=23

8 0

4 years ago

A science museum has a spherical model of the earth with a diameter of 6.5 m. What is the volume of the model? Use 3.14 for and

natka813 [3]

radius = diameter/2

radius = 6.5/2 = $\frac{13}{4}$ m

volume $= \frac{4}{3}$ x $\pi$ x (radius)³

$= \frac{4}{3}$ x $\pi$ x $( \frac{13}{4})^3$

$= \frac{4}{3}$ x $\pi$ x $\frac{2197}{64}$

$= \frac{2197}{64}$

= 144 cubic meters

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

How do you Simplify 16/12

vlada-n [284]

You need to find a common factor that both the numerator and denominator have. 16 and 12 have common divisible factors of 2 and 4(excluding 1, because 1 is self-defined but doesn't simplify values at all).

We use the highest factor, in this case, 4.

Divide 16 by 4 and 12 by 4.

16/4 = 4
12/4 = 3

We put 4 in place of the numerator and 3 in place of the denominator.

$\frac{4}{3}$

4 0

3 years ago

Read 2 more answers

What is the factorization of the trinomial below? 3x3 + 6x2 - 24x

Allisa [31]

3x^3 + 6x^2 - 24x

= 3x(x^2 + 2x - 8)

= 3x(x + 4)(x - 2)

Hope it helps.

8 0

3 years ago

Read 2 more answers