The answer for your question is thirteen
Answer:
The shortest sides is 3x-10
Step-by-step explanation:
This is because if you do the algebra which is 4x+3+2x+8+3x-10=136, x=15. Now that you have 15 you plug it into each sides x value. First, 4x+3= 4*15+3=63
Second, 2x+8=30+8=38
Lastly, 3x-10=45-10=35
So, as you can see here 35 is the lowest value which means the side (3x-10) is the shortest.
Answer:
12
Step-by-step explanation:
Given :
Male Female Total
Registered 60
Non registered 40
Total 20 80
Solution :
N= 100
Formula of expected frequency = 
= expected frequency for the ith row/jth columm.
= total in the ith row
= total in the jth column
N = table grand total.
So, using formula 









![E_{22]=\frac{80 \times 40}{100}](https://tex.z-dn.net/?f=E_%7B22%5D%3D%5Cfrac%7B80%20%5Ctimes%2040%7D%7B100%7D)

Expected frequency table
Male Female Total
Registered 12 48 60
Non registered 8 32 40
Total 20 80
So, the expected frequency for males who are registered voters are 
Answer:
3(4+√2)
Step-by-step explanation:
Here we need to find the perimeter of the given figure. Here the given figure is made from a triangle and a square. The side lenght of the square is 3. We need to find the hypontenuse of the triangle in order to find Perimeter .
<u>•</u><u> </u><u>Using</u><u> </u><u>Pyth</u><u>agoras</u><u> Theorem</u><u> </u><u>:</u><u>-</u><u> </u>
⇒ h² = p² + b²
⇒ h² = 3² + 3²
⇒ h² = 9 + 9
⇒ h² = 18
⇒ h = √[ 9 × 2 ]
⇒ h = 3√2 .
Therefore the perimeter will be ,
⇒ P = 3√2 + 3 + 3 + 3 + 3
⇒ P = 3√2 + 12
⇒ P = 3( 4 + √2)
<h3><u>Hence</u><u> </u><u>the</u><u> </u><u>perim</u><u>eter</u><u> of</u><u> the</u><u> </u><u>figure</u><u> </u><u>is</u><u> </u><u>3</u><u>(</u><u>4</u><u>+</u><u>√</u><u>2</u><u>)</u><u> </u><u>.</u></h3>
Answer:
volume of a cylinder = 401.92cm³
Step-by-step explanation:
to calculate the volume of a cylinder , we will use the formular for finding the volume of a cylinder
volume of a cylinder = πr²h
given that
height of the cylinder = 8cm
radius of the cylinder = 4cm
volume of a cylinder = π × (4cm)² × 8cm
volume of a cylinder = π × 16cm² × 8cm
volume of a cylinder = π128cm³
value of π = 3.14
volume of a cylinder = 3.14 × 128cm³
volume of a cylinder = 401.92cm³