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:
11
Step-by-step explanation:
15-4 = x
15-4 = 11
x = 11
to isolate x, you move 4 to the other side and it becomes 15-4 = x
The translation of the question given is
A line that passes through the points A (2,1) and B (6,3) and another line passes through A and through the point (0, y). What is y worth, if both lines are perpendicular?
Answer:
y = 5
Step-by-step explanation:
Line 1 that passes through A (2,1) and B (6,3)
Slope (m1) = 3-1/6-2 = 2/4 = 1/2
y - 1 =
( x -2)
2y - 2 = x- 2
y = 
Line 2 passes through A (2,1) and (0,y)
slope (m2) =
Line 1 and Line 2 are perpendicular
m1*m2 = -1
*
= -1
y-1 = 4
y = 5
slope = -2
Equation of Line 2
Y-1 = -2(x-2)
y -1 = -2x +4
2x +y = 5
Answer:g is greater than or equal to 6g + 18/5, or g >_ 6g + 18/5
Step-by-step explanation: 5G- 2 <_ 6g + 16
Add 2 to the 16. 5g <_ 6g + 18.
Divide 5 to both sides. g >_ 6g + 18/5
Answer:
D. 52
Step-by-step explanation:
Add 85 and 45 to get 130.
6.2n-3.7n=130
Subtract 3.7 from 6.2
2.5n=130
divide 130 by 2.5 to find n
N=52