the cylinder has radius 4√3 and hight h. the total surface area of the cylinder is 56π√6. find the exact value of h giving the answer in the form a√2 + b√3 where a and b are both integers.​

Answer:

it'd be F

Step-by-step explanation:

just did it on my acellus

The location of the circumcenter of triangle ABC is at ''Point D.''

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

The triangle ABC is shown in figure.

Now,

We know that;

The circumcenter of the triangle is the point at which the distance between the vertices with the circumcenter is equal to each other.

In figure ABC;

⇒ AD = BD = CD

So, The circumcenter of triangle ABC is at point D.

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Step-by-step explanation:

21. x² - 4x - 5 > 0

→ (x - 5) (x - 1) > 0

{x - 5 > 0

{x + 1 > 0

{x - 5 < 0

{x + 1 < 0

{x > 5

{x > -1

{x < 5

{x < -1

= x < -1 or x > 5

therefore, option A is correct

22). 4p² - 1 ≤ 0

(2p - 1) (2p + 1) ≤ 0

{2p - 1 ≤ 0

{2p + 1 ≥ 0

{2p - 1 ≥ 0

{2p + 1 ≤ 0

{p ≤ 1/2

{p ≥ -1/2

{p ≥ 1/2

{p ≤ -1/2

1/2 ≤ p ≤ 1/2

{p ≥ 1/2

{p ≤ -1/2

-1/2 ≤ p ≤ 1/2

therefore, option A is correct.

23). y < 3x² + 3x - 6

3x² + 3x - 6 = 0

3x² + 6x - 3x - 6 = 0

3x(x +2) - 3(x +2) = 0

(x +2) (3) (-3) = 0

x = -2, 1

this is the correct ans. but their is no option similar to it.

25. x and y are root of

m² - 11m + 18 = 0

hence, x + y = 11

xy = 18

2xy = 36

now, x² + y²

= (x +y)² - 2xy

= (11)² - 36

= 121 - 36

= 85

therefore, option A is correct.

26. x² - 2x - 120

(x -1)² - 1 - 1² = 0

(x -1)² = 1 + 1²

x - 1² = 2

x - 1 = ±√2

1 ± √2

therefore, option A is correct.

hope this answer helps you dear..take care!

Answer:

Step-by-step explanation:

21) x² - 4x - 5 > 0

x² - x + 5x - 5 > 0

x(x - 1) + 5(x - 1) > 0

(x - 1) (x + 5) > 0

x - 1 >0   or  x + 5 > 0

x > 1       or  x > - 5    Ans: D

22)  4p² ≤ 1

p² ≤ 1/4

p ≤ 1/2  or  p ≥ -1/2

-1/2  ≥ p ≤ 1/2

23)y < 3x² + 3x - 6

(1 , -7)

x = 1  and y = -7

-7 < 3*1 + 3*1 - 6

-7 < 3 + 3 - 6

-7 < 0

(1 , -7) satisfies the equation.

Option b

24) 5x² - 7x = 0

a = 5  ; b = -7  ;c = 0

Discriminant = b² - 4ac =  49 - 0 = 0

[tex]x = \dfrac{-b+\sqrt{D}}{2a} \ ; \ \dfrac{-b-\sqrt{D}}{2a}\\\\x = \dfrac{7+\sqrt{49}}{10} ; \dfrac{7-\sqrt{49}}{10}\\\\x = \dfrac{7+7}{10};\dfrac{7-7}{10}\\\\x =\dfrac{14}{10} ; 0\\\\x = \dfrac{7}{5}; 0[/tex]

x = 0 ; x = 7/5  Option a)

25) m² - 11 m + 18 = 0

m² - 2m - 9m + (-9)*(-2) = 0

m(m - 2) - 9(m - 2) = 0

(m - 2)(m - 9) = 0

m = 2 , 9

x = 2 and y =9

x² + y² = 2² + 9² = 4 + 81 = 85   Option a)

26) x² - 2x - 1 = 0

Add the constant 1 to both sides

x² - 2x = 1

Divide the coefficient of x by 2.  2/2 = 1. Now add this 1 to both sides of the equation.

x² - 2x  + 1  = 1+1

x² - 2x + 1 = 2

(x - 1)² = 2

Take square root

x - 1 = ±√2

x  = 1 ± √2    Option a)

Answer:

Step-by-step explanation:

a). When graph w(x) is transformed to r(x) = 4 × w(x), graph of w(x) is vertically  stretched by a scale factor of 4.

Table for the corresponding points will be,

x               w(x)                  r(x)

0                0                  0×4 = 0

15              60               60×4 = 240

30             120             120×4 = 480

45             180             180×4 = 720

b). As discussed in part (a), graph of w(x) will be vertically stretched by a scale factor of 4 to produce the graph of r(x).

c). Since, w(x) = 4x

  and r(x) = 4[w(x)]

  r(x) = 4(4x) = 16x

 r(x) = 16x

Answer:

500

Step-by-step explanation:

Answer:

there is no line parallel to y = -3x + 8 that goes through (5, -7). this point falls on this line

Step-by-step explanation:

[tex]y = - 3x + 8[/tex]

[tex] - 7 = - 3(5) + b \\ - 7 = - 15 + b \\ b = 8[/tex]

The answer is

[tex]y = - 3x + 8[/tex]

Answer:

x^2-x+3

Step-by-step explanation:

(x^3-5x^2+7x-12)÷(x-4)

x^3−5x^2+7x−12

Factors of 12,

1,2,3,4,6,12

Substitute 4 into x. Since the result is 0, x-4 is a factor..

4^3−5×4^2+7×4−12=0

x-4

        x^2      -x             3

x-4 |  x^3   -5x^2 7x    -12

        x^3   -4x

                -x^2   7x  -12

                -x^2   4x

                          3x  -12

                          3x  -12

x^2−x+3

(x^2−x+3)(x−4)

        x−4

(x^2−x+3)

Answer = x^2-x+3

Hopes this helps

Answer:

A) true

B) true

C) true

hope that helps :)

Answer:

Yes that is correct you got keep up good work

Answer:

y int (0, 13)

x int (-13/6,0)

just make the x = 0 and solve to get y

same with the x make y =0 and solve

Answer:

C= 30

Step-by-step explanation:

bro i read it wrong that's my bad hold on ill get the right one rq

Answer:

A. 72

Step-by-step explanation:

367.2 -> 367

294.8 -> 295

367

- 295

____

072

if you weren't estimating you would get B because you wouldn't round the numbers.

since the question says to round and then estimate, the answer should be A.

Step-by-step explanation:

oh, come on, just multiplication.

7.5×10⁴ years is 7.5×10000 =75000 years.

0.005 inches per year for 75000 years means

0.005 × 75000 = 5 × 75 = 375 inches.

Answer:

C maybe i dunno but gl

Answer:

A

Step-by-step explanation:

Given a function f(x) where the first derivative with respect to x evaluated in two equals

f'(2)=1/2

The slope of the tangent line is

mt=1/2

Therefore, the slope of the normal line is

mn=-1/(1/2)

mn=-2

Evaluating the given point in the general form

y-y1=m(x-x1)

y-(-1)=-2(x-2)

y+1=-2x+4

y=-2x+3

Answer:

[tex]f(x) = 3 \: \: \: \: for \: \: \: \: - 6 < x < 1 \\ f(x) = - x \: \: \: \: for \: \: \: \: 1 < x < 6[/tex]

The dimensions of the rectangle are 150 m and 75 m respectively.

Let x be the length of the rectangular area and y be the width of the rectangular area.

Its area A = xy

Given that its area is 11,000 m², xy = 11000 m² (1)

Also, since the bounding side of the building is 150 m long and the fencing is 300 m, the perimeter of the rectangular area is P = 150 m + 300 m = 450 m.

Also, the perimeter of the rectangular area is P = 2(x + y)

Since P = 450 m

2(x + y) = 450 m

x + y = 225 m (2)

Since the bounding side of the building represents one dimension of the rectangle, x = 150 m.

Substituting x into (2), we get the other dimension

x + y = 225

150 + y = 225

y = 225 m - 150 m

y = 75 m

So, the dimensions of the rectangle are 150 m and 75 m respectively.

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Answer:

y=4x

Step-by-step explanation:

Step-by-step explanation:

264537270.28

ok..... oddly..

Linear equations are represented by straight line.

The required graph is graph (a).

The given parameters are:

[tex]\mathbf{Rate =15}[/tex]

Let x represents the number of weeks, and y represents the number of words in week x.

So, we have:

[tex]\mathbf{y = Rate \times x}[/tex]

Substitute 15 for Rate

[tex]\mathbf{y = 15\times x}[/tex]

[tex]\mathbf{y = 15x}[/tex]

The above equation means that:

[tex]\mathbf{(x,y) = (0,0)(1,15),(2,30)....}[/tex]

The graph that represents the above ordered pair is graph (a).

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Answer:

im lost

Step-by-step explanation:

;;..

hello again!

you can calculate the distance between A and B by subtracting

distance = B-A=0.5m-(-1.5)m=2m

Answer:

2/15 or 0.13

Step-by-step explanation:

first you multiply 2/3 and 1/5 which gets you 2/15

Answer:

Multimedia Specialist

Step-by-step explanation:  

Had a question like this before

Hello there!

-8+r>-8

Move all the numbers to the right:

r>-8+8

r>0

Hope it helps!

~Just a joyful teen

[tex]GraceRosalia[/tex]

Answer:

The answer would be 7 I hope this helps! : )

Answer:

it's 2

Step-by-step explanation:

if we solve 3×2×1/3

then we will get 2 .

If we give 1 g/kg  of mannitol, it then follows that Balto needs to receive 35g  of  mannitol.

Percent is one of the ways of expression the concentration of a solute in a solvent. In this case, the concentration of the mannitol is 20%. This implies that there are 20 g of mannitol in 100 g of solution.

Thus, If we give 1 g/kg  of mannitol, it then follows that Balto needs to receive 35g  of  mannitol.

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