.6 x 10^-3 (Move the decimal in a multiple of 3 and don't forget it's 6 tenths not the whole number 6) In scientific notation this would be;
(the whole number)6 x 10^-4
Answer:
482 km
63.94 degrees
Step-by-step explanation:
to solve this question we will use the cosine rule. For starters, draw your diagram. From point A, up north is 500km and 060 from there, another 300. If you join the point from the road junction back to the starting point, yoou have a triangle.
Cosine rule states that
C = 
where both A and B are the given distances, 500 and 300 respectively, C is the 3rd distance we're looking for and c is the given angle, 060
solving now, we have
C = 
C = ![\sqrt{250000 + 90000 - [215000 cos(60) }]](https://tex.z-dn.net/?f=%5Csqrt%7B250000%20%2B%2090000%20-%20%5B215000%20%20%20cos%2860%29%20%20%7D%5D)
C = ![\sqrt{340000 - [215000 * 0.5 }]](https://tex.z-dn.net/?f=%5Csqrt%7B340000%20-%20%5B215000%20%2A%200.5%20%20%7D%5D)
C = ![\sqrt{340000 - [107500 }]](https://tex.z-dn.net/?f=%5Csqrt%7B340000%20-%20%5B107500%20%20%7D%5D)
C =
C = 482 km
The bearing can be gotten by using the Sine Rule.
= 
sina/500 = sin60/482
482 sina = 500 sin60
sina = 
sina = 0.8983
a = sin^-1(0.8983)
a = 63.94 degrees
Answer: 1 2/3 Liters
Step-by-step explanation:
The equation is going to be the amount of soda, multiplied by the amount of bottles Keisha has
5/9 x 3/1 (3/1 is equivalent to having 3 or 1+1+1)
We are going to multiple the numbers, numerator by numerator, and denominator by denominator since we do not need to add or subtract
- Numerator= 5x3=15
- Denominator= 9x1=9
Your improper awnser would be 15/9
DO NOT STOP HERE THIS IS NOT THE SIMPLEST FORM
- Create the simplest mixed number
15/9 is equal to 15 divided by 9
we can fit 1 9 in 15 without going over
1 ?/15
15-9=6
1 6/9
6 and 9 are both divisible by 3
6 divided by 3 = 2
9 divided by 3 = 3
1 6/9=1 2/3
- Awnser and add your units
1 2/3 is the simpelest form, this can not be further divided.
1 2/3 Liters of Soda
You can predict that it's odd because the end of the 2 numbers is 1 and 1 x 1 is 1 and one is an odd number. (answer is odd)
Since there is no number in the thousandths place which would make the number in the hundredths place round up or down, we keep the number the same:
314.16
Hope it helps! Good luck. :)