Answer: 
Step-by-step explanation:
You can use the following formula to calculate the surface area of the right rectangular prism:
Where "w" is the width, "l" is the length, and "h" is the height.
Knowing that this rigth rectangular prism has a length of 8 centimeters, a width of 3 centimeters and a height of 5 centimeters, you can substitute these values into the formula.
Then, the surface of the right rectangular prism is:
![SA = 2[(3cm*8cm) + (8cm*5cm) + (5cm*3cm)]\\\\SA=158cm^2](https://tex.z-dn.net/?f=SA%20%3D%202%5B%283cm%2A8cm%29%20%2B%20%288cm%2A5cm%29%20%2B%20%285cm%2A3cm%29%5D%5C%5C%5C%5CSA%3D158cm%5E2)
Answer:
x = 8
Step-by-step explanation:
11x - 34 and 7x - 2 are vertical angles and congruent, thus
11x - 34 = 7x - 2 ( subtract 7x from both sides )
4x - 34 = - 2 ( add 34 to both sides )
4x = 32 ( divide both sides by 4 )
x = 8
-----------------------
11x - 34 = 11(8) - 34 = 88 - 34 = 54
18y and 11x - 34 are adjacent angles and supplementary , thus
18y + 54 = 180 ( subtract 54 from both sides )
18y = 126 ( divide both sides by 18 )
y = 7
The measure of arc AB is 100°.
Answer:
21 / 143
Step-by-step explanation:
Given that:
Number of Eastern conference reps = 8
Number of western conference rep = 7
Probability of selecting 3 from Eastern reps and 2 from western reps
Probability = required outcome / Total possible outcomes
Total possible outcomes:
selection to be made = 3+ 2 = 5
Total Number of players = 8 +7 = 15
Total possible outcomes
Using combination formula :
nCr = n! / (n-r)!r!
15C5 = 15! / 10!5! = (15 * 14 * 13 * 12 * 11) / (5*4'3*2*1) = 360360 / 120 = 3003
Total possible outcomes = 3003
Required outcome :
8C3 * 7C2
8C3 = 56 ; 7C2 = 21
8C3 * 7C2 = 56 * 21 = 1176
required outcome / Total possible outcomes
= 1176 / 3003
= 21 / 143
Step-by-step explanation:
year 2012 population = 2,254,000*3.5%
= 78.89
each year up to 2020
so 2020 - 2012 =8
78.89*8 = 631
total population at end of 2020 =2,254,000 + 631
= 2,254631
