The recurring decimal number 9.2424... expressed in mixed number is 
In the given decimal number, 2 is the digit at the tenth place and 4 is the digit at the hundredth place.
The fraction part
in the simplest form is 
The whole number part is 9.
Therefore, the number 9.2424... as a mixed number in the simplest form is 
Answer:
pretty sure its,100
Step-by-step explanation:
Perimeter is
2 • width+ 2•length=
2• (4x-4)+2•(2x+5)=
Distribute multiplication in parentheses
8x-8+4x+10=
Combine like terms
12x+2
Answer:
Part 1) The lateral area of the cone is 
Part 2) The lateral surface area of the cylinder is 
Part 3) The surface area of the crayon is 
Step-by-step explanation:
Part 1) Find the lateral area of the cone
The lateral area of the cone is equal to

we have


substitute


Part 2) Find the lateral surface area of the cylinder
The lateral area of the cylinder is equal to

we have


substitute


Part 3) Find the surface area of the crayon
The surface area of the crayon is equal to the lateral area of the cone, plus the lateral area of the cylinder, plus the top area of the cylinder plus the bottom base of the crayon
<em>Find the area of the bottom base of the crayon</em>
![A=\pi[r2^{2}-r1^{2}]](https://tex.z-dn.net/?f=A%3D%5Cpi%5Br2%5E%7B2%7D-r1%5E%7B2%7D%5D)
where
r2 is the radius of the cylinder
r1 is the radius of the cone
substitute
![A=\pi[1.5^{2}-1^{2}]](https://tex.z-dn.net/?f=A%3D%5Cpi%5B1.5%5E%7B2%7D-1%5E%7B2%7D%5D)

<em>Find the area of the top base of the cylinder</em>

<em>Find the surface area</em>

Answer:
The length of SO is 46 units
Step-by-step explanation:
<em>In a parallelogram, </em><em>diagonals bisect each other,</em><em> which means meet each other in their mid-point</em>
∵ SNOW is a parallelogram
∵ SO and NW are diagonals
∵ SO ∩ NW at point D
→ That means D is the mid-point of SO and NW
∴ D is the mid-point of SO and NW
∵ D is the mid-point of SO
→ That means D divide SO into two equal parts SD and DO
∴ SD = DO
∵ SD = 9x + 5
∵ DO = 13x - 3
→ Equate them
∴ 13x - 3 = 9x + 5
→ Subtract 9x from both sides
∵ 13x - 9x - 3 = 9x - 9x + 5
∴ 4x - 3 = 5
→ Add 3 to both sides
∵ 4x - 3 + 3 = 5 + 3
∴ 4x = 8
→ Divide both sides by 4
∴ x = 2
→ To find the length of SO substitute the value os x in SD and DO
∵ SO = SD + DO
∵ SD = 9(2) + 5 = 18 + 5 = 23
∵ DO = 13(2) - 3 = 26 - 3 = 23
∴ SO = 23 + 23 = 46
∴ The length of SO is 46 units