Answer:
=135.53°
Step-by-step explanation:
The bearing that the captain should turn is the angle difference between the two islands from the position of the ship.
Let C be the position of the ship, then
AB is c=160
AC is b=220
BC is a=200
We use the cosine rule as follows:
c²=a²+b²-2ab Cos C
160²=200²+220²-2×200×220 Cos C
25600=88400-88000Cos C
88000 Cos C=88400-25600
88000Cos C=62800
Divide both sides by 88000.
Cos C=62800/88000
=0.7136
C=44.47°
He should turn (180°-44.47°)=135.53°
Answer:
12x - 11
Step by step
Answer:
$48
Step-by-step explanation:
You can figure out how much he charges per single bag by diving the price by the amount of bags in the ratio, so 10 divided by 5 which equals two. So $2 per bag and 24 bags, multiply that and you find that it's $48.
Answer:
The answer is below
Step-by-step explanation:
The general form of a line is given by:
Ax + By + C = 0
The slope intercept form of a line is give by:
y = mx + b;
where m is the slope and b is the y intercept
Given a line with equation Ax + By + C = 0; the slope of the line can be gotten by representing in slope intercept form, hence it becomes:
By = -Ax - C
y = (-A/B)x - C/B
The slope is -A/B
For a line with equation Bx - Ay + C = 0:
Ay = Bx + C
y = (B/A)x + C/A
the slope is B/A
Two lines are said to be perpendicular if the product of the slopes is -1. Hence:
-A/B * B/A = -1; hence the two lines are perpendicular
Answer:
28:35
Explanation:
Given the reason for step 5, Corresponding sides of similar triangles are in proportion, we are looking for sides that will be corresponding to 2x+28 and 95. 2x+28 is the length of QP and 95 is the length of PR. The matching option in our list is 28:95, because 28 is the length of SP and 35 is the length of PT.
