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Lesechka [4]
3 years ago
5

The volume of a cone is 47.1 units. What is the height of the cone?

Mathematics
1 answer:
Vikki [24]3 years ago
3 0
Do you have the radius? 
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Determine the intercepts of the line.
andre [41]

Answer:

x-intercepts = (-3/4, 0)

y-intercepts = (0, 3/7)

Step-by-step explanation:

3 0
3 years ago
A wire 6 meters long is cut into two pieces. One piece is bent into a square for a frame for a stained glass ornament, while the
zhenek [66]

Answer:

Used wire in circle  x = 2.64 m

Used in square   L - x = 3.36 m

Total wire used 6 m

Step-by-step explanation:

We have a wire of 6 meters long.

We will cut it a distance x from one end, to get two pieces

x    and   6 - x

We are going to use the piece x  to get the circle then

So Perimetr of a circle is 2π*r    (r is the radius of the circle) then:

x = 2*π*r    ⇒    r = x/2*π

And area would be  A(c) = π* (x/2*π)²   ⇒ A(c) = x²/4π

From 6 - x we will get a square, and as the perimeter is 4 times the side

we have

( 6 - x )/ 4  is the side of the square

And the area is  A(s) = [( 6 - x ) /4]²

Total area as function of x is

A(t)  = A(c) + A(s)

A(x)  =  x²/4π  + [ ( 6  -  x  ) / 4 ]²

A(x)  =   x²/4π  + (36 + x² - 12x) /16

A(x)  = 1 / 16π [ 4x² + 36π + πx² -  12π x ]

Taking drivatives on both sides of the equation we get:

A´(x) = 1/ 16π [8x +2πx - 12π]

A´(x) = 0    ⇒      1/ 16π [8x +2πx - 12π]  = 0

[8x +2πx - 12π]  = 0

8x + 6.28x -  37.68  = 0

14.28x - 37.68 =  0      ⇒  x  = 37.68 /14.28

x = 2.64 m   length of wire used in the circle

Then the length L  for the side of the square is  

(6 - x )/4    ⇒ ( 6 - 2.64 )/ 4   ⇒ 3.36 / 4    

L = 0.84 m   total length of wire used in the square is

3.36 m

And total length of wire used is 6 m

The function is a quadratic  function and "a" coefficient is positive then is open upward parabola there is not a maximun

5 0
3 years ago
devon records 4 hours of reality shows on her dvr she records comedy shows 3/8 of that amount of time. Devon watches all the rea
scZoUnD [109]
Devon records 3/8 of 4 hours for comedy shows, which is 90 mins worth (1 hour and a half).

Please vote my answer brainliest. thanks!
6 0
3 years ago
Read 2 more answers
What is the constant term in the polynomial 2x3 - 8x2 + 5x -28
cricket20 [7]

Answer:

Constant Term

The term in a simplified algebraic expression or equation which contains no variable(s). If there is no such term, the constant term is 0.

 

Example:   –5 is the constant term in p(x) = 2x3 – 4x2 + 9x – 5

 

6 0
2 years ago
HELP!!! Please I need work shown I have no clue how to do this and I need a good answer please and thank you
zheka24 [161]
Factorize x²+7x+12 ===> (x+3)(x+4)

Factorize x²-3x-28 ===> (x-7)(x+4)

4x + 12 can be written====> 4(x+3)

Then the question could be written as follows:

 [(x+3)(x+4) / (x-7)(x+4) ] / 4(x+3) = [(x+3)(x+4) / (x-7)(x+4) ].[4(x+30]
After simplification you get 1 / 4(x-7)



7 0
3 years ago
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