Sin A = opposite / hypotenuse
If angle A is in the first quadrant, that means both x and y coordinate are positive.
Now you can draw triangle. Since sinA = 1/3, opposite side may be 1, so then hypotenuse side must be 3.
Now you can use Pythagorean Theorem to solve for the length of adjacent side:
a² + b² = c²
1 + b² = 9
b² = 8
b = 2√2
So adjacent side is 2√2.
So now we can solve for cosA:
cosA = adjacent / hypotenuse = 2√2 / 3
Final answer: 2√2 / 3
Answer:
AB is parallel to A'B'.
DO,1/2 (1/2x, 1/2y) =
The distance from A' to the origin is half the distance from A to the origin.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Connecting any point of original figure with the same of the image
For example point C with C'
The line goes through the origin (0, 0)
<u>And the coordinates changed as:</u>
It means the rotation is 180°
Answer : Distance between the ships to the nearest miles = 106.03 ≈ 106 mi.
Explanation :
Since we have shown in the figure below :
a=70 mi.
b=52 mi.
c=x mi.
So, we use the cosine rule , which states that
So, c = x= 106.03 mi.
Hence, distance between the ships to the nearest miles = 106.03 ≈ 106 mi.
Answer:
a = 0, b = 3
Step-by-step explanation:
3a + b = 3
b = - 3a +3
2a - 5b = - 15
2a - 5(-3a + 3) = - 15
2a + 15a - 15 = - 15
17a = 0
a = 0
b = -3a +3 = - 3 *0 +3 = 3
