Answer this math problem

The area of the cylinder is a function of its height (h) and radius, ([tex]\mathbf{4\sqrt 3}[/tex])

The exact value of h is: [tex]\mathbf{7\sqrt 2- 4\sqrt 3}[/tex]

The given parameters are:

[tex]\mathbf{Area =56\pi\sqrt 6}[/tex]

[tex]\mathbf{r=4\sqrt 3}[/tex]

The surface area of a cylinder is calculated as:

[tex]\mathbf{Area = 2\pi rh + 2\pi r^2}[/tex]

Substitute values for Area

[tex]\mathbf{56\pi\sqrt 6= 2\pi rh + 2\pi r^2}[/tex]

Divide through by pi

[tex]\mathbf{56\sqrt 6= 2 rh + 2r^2}[/tex]

Substitute value for r

[tex]\mathbf{56\sqrt 6= 2 (4\sqrt 3)h + 2(4\sqrt 3)^2}[/tex]

[tex]\mathbf{56\sqrt 6= 8h\sqrt 3 + 2\times 48}[/tex]

[tex]\mathbf{56\sqrt 6= 8h\sqrt 3 + 96}[/tex]

Collect like terms

[tex]\mathbf{8h\sqrt 3 = 56\sqrt 6- 96}[/tex]

Make h the subject

[tex]\mathbf{h = \frac{56\sqrt 6}{8\sqrt 3}- \frac{96}{8\sqrt 3}}[/tex]

[tex]\mathbf{h = 7\sqrt 2- \frac{12}{\sqrt 3}}[/tex]

Rationalize

[tex]\mathbf{h = 7\sqrt 2- \frac{12\sqrt 3}{3}}[/tex]

[tex]\mathbf{h = 7\sqrt 2- 4\sqrt 3}[/tex]

Hence, the exact value of h is: [tex]\mathbf{7\sqrt 2- 4\sqrt 3}[/tex]

Read more about surface areas t:

https://brainly.com/question/25131428

Answer:

2

Step-by-step explanation:

because the tree you must have more red balls than blue

For your question you can try option #3

Rewrite the equation as

2lw+2lh+2wh=a.2lw+2lh+2wh=a

Subtract

2lh

from both sides of the equation.

2lw+2wh=a−2lh

Factor

2w out of 2lw+2wh.

2w(|+h)=w−2lh

Divide each term by

2(l+h)

and simplify.

.w=a−2lh2(l+h)

Answer:

A = (-6, 4)

B = (2,2)

C =  (-2, 2)

Step-by-step explanation:

If a coordinate (x, y) is dilated by a factor of k, the resulting coordinate will be expressed as (kx, ky). Note that each coordinate is multiplied by the scale factor  Given the coordinates (-3,2),(1,1)(-1,-1), if they are dilated by a factor of 2, the resulting coordinate will be;

A = (2(-3), 2(2)) = (-6, 4)

B = (2(1),2(1)) =(2,2)

C = (2(-1), 2(-1)) = (-2, 2)

Answer:

100 mins/ 1 hour 40 mins

Step-by-step explanation:

if 5 hens are known to lay 5 eggs then each hen lays 1 egg a minute

so multiply 1 by 100

and 100 time 1 equals 100

Answer:

74 + 43[tex]\sqrt{3}[/tex]

Step-by-step explanation:

For this problem, let's say side x is 2 + [tex]5\sqrt{3}[/tex] and side y is 7 + [tex]4\sqrt{3}[/tex].

To find the area of a rectangle, you need to multiply both height and width, and in this case, x and y.

(x)(y) = 14 + 8[tex]\sqrt{3}[/tex] + 35[tex]\sqrt{3}[/tex] + 60

= 74 + 43[tex]\sqrt{3}[/tex]

Answer:

3/17

Step-by-step explanation:

-2x + 3(-5x + 1)

-2x -15x +3

-17x + 3

17x = 3

x = 3/17

Answer:

It is not in the players favor because there is a 4/13 chance that the player will win money. That"s not even 50%. So its up to the player if they want to take that risk but its a 0.3% chance that the player will win money.

Hope this helps :)

9514 1404 393

Answer:

Step-by-step explanation:

Ms. Liu will have to pay 8p for p bags of popcorn, and 3w for w bottles of water. The amount she will have left will be these amounts subtracted from $40.

  40 -8p -3w . . . . represents the money remaining

For p=3 and w=4, this evaluates to ...

  40 -8(3) -3(4) = 40 -24 -12 = 4

Ms. Liu will have $4 left after her purchase.

Answer:

4736

Step-by-step explanation:

1) 100 divided by 5 is 20

2) 20 times 3 is 60

3) 60 times 79 is 4740

4) 4740 subtract from 4 is 4736

5) Answer is 4736

Answer:

4736

Step-by-step explanation:

5*20 = 100

20*3 = 60

60*79 = 4740

4740 - 4 = 4736

Answer:

11

Step-by-step explanation:

17-6=11

big brain

Answer:

11

Step-by-step explanation:

17-11=6 the smallest number is 11

Answer:

just put the 25 into the equation, and you get the M, as the money she earn

2.5(25) + 12 = 74.5 that is the amount she earns

Answer: 74.5

Step-by-step explanation:

M = money = ?

f = faces she paint = 25 faces

M = 2.50(f) + 12 —> ? = 2.50(25) + 12 = 74.5

Answer:

73,000

Step-by-step explanation:

if the hundred is smaller than 500, you round down, if it's larger then round up :)

Answer:

7/128

Step-by-step explanation:

nothing yw listen to your teacher

Step-by-step explanation: It already tells you three of the coordinates. From plotting those, just create a vertical line from (0, -7) up that is equal to 16 and connect that coordinate with (8, 0).

Answer:

x=25

Step-by-step explanation:

Answer:

2b. R line is lower.

2c. It is lower because the y-intercept is negative.

Answer: ill take one for you john

Step-by-step explanation:

Answer:

F(x)=(x+6)^2

Step-by-step explanation:

Hope this helps!

Answer:

1. Triangle XYZ undergoes a translation.

2. Triangle X'Y'Z' undergoes a reflection across the x-axis

Answer: This is a trig relationship from one of our special triangles, the 30-60-90 triangle.

Tan x = the opposite side of angle x divided by the adjacent side of angle x

The tangent is √3 when x = 60° or π/3

However, in this problem the value of the tangent is negative. In which of the four quadrants is the tangent function negative?

This function is negative in the second and fourth quadrants or when x = 120 and 300 degrees (or 2pi/3 and 5pi/3)

***I am assuming that the negative sign should be outside of the square root sign***

Answer:

what is it what math

Step-by-step explanation:

um what kind of math is this high school primary school

Answer:

[tex]7x + 2 = 8x + 5 \\ collecting \: like \: terms \: \\ 7x - 8x = 5 - 2 \\ - 1x = 3[/tex]

(ecuacion primer grado para hoy. ). what does this mean..

Answer:

Recopilar términos semejantes

Answer:

Simplify the expression.

Exact Form:

111129715061983798933/3

Decimal Form:

3.70432383⋅10^19

Step-by-step explanation:

Answer:

exact form is 111129715061983798933/3

decimal form 3.70432383*10^19

Step-by-step explanation:

Answer:

Step-by-step explanation:

Under steady state condition heat released to the room=heat dissipated out of the room Let θ be the temperature of heater Then

θ−20=α[20−(−20)] .(i)

and θ−10=α[10−(−40)] .(ii) Solving Eqs. (i) and (ii) we get

we get

θ=60∘C

Answer:

Step-by-step explanation:

We observe the pattern:

It can be put as:

or

The nth term is going to be:

The sum of the 31 terms will be:

or

Use the formula for sum of the first n squares:

The sum N equals:

And the value of N/31 is:

Answer:

3y^5

Step-by-step explanation: