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3 years ago

Volume of a sphere, either enter an exact answer in terms of pi or use 22/9 for pi

Mathematics

1 answer:

Alja [10]3 years ago

7 0

22/9 because if you need a number

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In triangle FGH, is an angle bisector of and perpendicular to . In triangle F G H, angle F G H is cut by perpendicular bisector

Amanda [17]

Answer:

x = 8

Step-by-step explanation:

By first drawing a photo, pasted below, you can plot your points. Then use the formula:

a/c = b/d to plan out your equation

3x - 8/x = 16/x

Cross multiply so you then have:

16x = 3x^2 - 8x

24x = 3x^2

8 = x

To check:

3(8) - 8 = 16

24 - 8 = 16

16 = 16

7 0

3 years ago

Read 2 more answers

Lim x-1 x³-2x²+3x-2/(2x^4-3x+1)

UkoKoshka [18]

Since the limit becomes the undetermined form

$\displaystyle \lim_{x\to 1} \dfrac{x^3-2x^2+3x-2}{2x^4-3x+1} \to \dfrac{0}{0}$

it means that both polynomials have a root at $x=1$ . So, we can fact both numerator and denominator:

$x^3-2x^2+3x-2 = (x-1)(x^2-x+2)$

$2x^4-3x+1 = (x-1)(2x^3+2x^2+2x-1)$

So, the fraction becomes

$\dfrac{(x-1)(x^2-x+2)}{(x-1)(2x^3+2x^2+2x-1)} = \dfrac{x^2-x+2}{2x^3+2x^2+2x-1}$

Now, as x approaches 1, you have no problems anymore:

$\displaystyle \lim_{x\to 1} \dfrac{x^2-x+2}{2x^3+2x^2+2x-1} \to \dfrac{2}{5}$

4 0

3 years ago

An artist cuts 4 squares with side length x ft from the corners of a 12 ft-by-18 ft rectangular piece of sheet metal. She bends

Kruka [31]

Answer:

$V=4x^3-60x^2+216x$

Step-by-step explanation:

<u>Volume And Function s</u>

Geometry can usually be joined with algebra to express volumes as a function of some variable. The volume of a parallelepiped of dimensions a,b,c is

$V=abc$

Our problem consists in computing the volume of a box made with some sheet of metal 12 ft by 18 ft. The four corners are cut by a square distance x as shown in the image below .

If the four corners are to be lifted and a box formed, the base of the box will have dimensions (12-2x)(18-2x) and the height will be x. The volume of the box is

$V=x(12-2x)(18-2x)$

Operating and simplifying

$V=4x^3-60x^2+216x$

8 0

3 years ago

LCM of 4/6 and 4/8????

Svet_ta [14]

Answer:

24 is the LCM of 4,6,8. I think thats what your looking for.

Hope this helps!

Step-by-step explanation:

5 0

2 years ago

Write the slope-intercept form of the equation of the line satisfying the given conditions through(3,-3); slope=-4

il63 [147K]

Answer:

y=-4x+9

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=-4(x-3)

y+3=-4(x-3)

y=-4x+12-3

y=-4x+9

7 0

3 years ago