Find the value of unknown figure plz tell i will mark as brainliest

1. x

ii. 18

b. -12

2. nth = a + (n - 1)d

ii. k = 103

3. =

4. Volume = 25.025

Step-by-step explanation:

1. Prime factors of 5832 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3

                                       = x

ii. = 18

b. 2 - 3 + 3abc

a = 3, b = 2, c = -1

Thus,

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

= 18 - 12 - 18

= -12

2. The required formula is;

nth = a + (n - 1)d

where: a is the first term, n is the number of terms in the sequence and d is the common difference.

b. kth term = 304, then

304 = -2 + (k - 1) 3

      = -2 + 3k -3

      = 3k - 5

3k = 304 + 5

3k =  309

k =

  = 103

k = 103

3. Comparing <DAB and < EBC;

<DAB ≅ <EBC =

<BEC = (right angle property)

<C =

Thus,

<B + <C + <E = (sum of angles in a triangle)

+ + =

+ 153 =

= 180 - 153

   = 27

=

4. Volume of a cylinder = h

where r is the radius and h is the height of the cylinder.

Diameter = 3.5 m, h = 2.6 m

r =

r = m

So that,

Volume = x x 2.6

             = x x

             = 25

Volume = 25.025

7

step-by-step explanation: