Answer:
11.57 units east, 13.79 units upwards
11.57i + 13.79j
Step-by-step explanation:
V = 18 units at an angle of 50° to the positive x-axis
In component Form, this is how each component is calculated
a = 18cos50° = 11.57 units east
b = 18sin50° = 13.79 units upwards
check if your answer is correct
![\sqrt{11.57^{2} +13.79^{2} } = 18.0](https://tex.z-dn.net/?f=%5Csqrt%7B11.57%5E%7B2%7D%20%2B13.79%5E%7B2%7D%20%7D%20%3D%2018.0)
In vector component form ai + bj = 11.57i + 13.79j
H=(√3)*a/2 = 41.2
So, a=2*41.2/√3=47.6
$200.00 (George gave to the clerk)
-$169.82 (What George spend)
______________
$30.18
George will receive $30.18 from the clerk.
Hope it help!
A percentage is a portion out of 100, and because it is a portion of a whole it can be written as a fraction of an amount (in this case a fraction of 100). You can also rewrite this as a decimal because a fraction is essentially the same thing as a division problem and when you divide a number by 100 you usually get a decimal (if the numerator is smaller than 100 that is), and also because decimals are similar to fractions because they represent parts a whole unit for instance the percentage 72% is equivalent to the fraction 72/100 which is the same as 72 divided by 100 which is the same as the decimal 0.72.
Sorry for the long explanation but I hope this helped!
Answer:
'
![P(Odd) = 0.50\\](https://tex.z-dn.net/?f=P%28Odd%29%20%3D%200.50%5C%5C)
Step-by-step explanation:
Given
![Red = 38](https://tex.z-dn.net/?f=Red%20%3D%2038)
![Blue = 38](https://tex.z-dn.net/?f=Blue%20%3D%2038)
Required (Missing part of the question)
(a) The marble is red. (b) The marble is odd-numbered
Solving (a): Probability of Red.
This is calculated as:
![P(Red) = \frac{Red}{Total}](https://tex.z-dn.net/?f=P%28Red%29%20%3D%20%5Cfrac%7BRed%7D%7BTotal%7D)
![P(Red) = \frac{38}{38+38}](https://tex.z-dn.net/?f=P%28Red%29%20%3D%20%5Cfrac%7B38%7D%7B38%2B38%7D)
![P(Red) = \frac{38}{76}](https://tex.z-dn.net/?f=P%28Red%29%20%3D%20%5Cfrac%7B38%7D%7B76%7D)
![P(Red) = 0.50](https://tex.z-dn.net/?f=P%28Red%29%20%3D%200.50)
Solving (b): Probability of Odd
Since each marble type is numbered 1 to 38, then half of it are odd.
i.e. 19 odd numbered red marbles and 19 odd numbered blue marbles.
So, the probability of odd is:
![P(Odd) = \frac{Odd}{Total}](https://tex.z-dn.net/?f=P%28Odd%29%20%3D%20%5Cfrac%7BOdd%7D%7BTotal%7D)
![P(Odd) = \frac{19+19}{38+38}](https://tex.z-dn.net/?f=P%28Odd%29%20%3D%20%5Cfrac%7B19%2B19%7D%7B38%2B38%7D)
![P(Odd) = \frac{38}{76}](https://tex.z-dn.net/?f=P%28Odd%29%20%3D%20%5Cfrac%7B38%7D%7B76%7D)
![P(Odd) = 0.50\\](https://tex.z-dn.net/?f=P%28Odd%29%20%3D%200.50%5C%5C)