The answer is 142 degrees. Angles m<1 and the 38 degree angle are supplementary angles. Supplementary angles equal 180 degrees so, you would do 38 + m<1 = 180. Since you don’t know angle 1, you would subtract 38 from both sides. Once you do that, you get your answer of 142 degrees.
Answer:
16.3 = 16 
Step-by-step explanation:
0.1 is equivalent to 1/10 or one tenth so 0.3 = 3/10
Answer:
$20500
Step-by-step explanation:
26500-(.12*26500)=23320 For 1 year
23320-(.12*23320)=$20521.60 For 2 years
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
3.45. All you have to do is divide 10.35 by 3.