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
9514 1404 393
Answer:
y = 5x - 7
Step-by-step explanation:
We can make an equation for the perpendicular line by swapping the x- and y-coefficients, negating one of them. Then we can use that form with the given point to see what the constant is.
10x -2y = ...
Removing a common factor of 2 gives ...
5x -y = 5(2) -(3) = 7 . . . . using (x, y) = (2, 3), we can find the constant
Solving for y, we get ...
5x -7 = y . . . add y-7
y = 5x -7 . . . write in the desired form
<A +<B + < C =180° ==>(5x+6) + (2x+1) + (6x+4) = 180°
13x = 180°-11° ==> 13x 169° and x =169/13 =13°
The answer is 8 because 2×4=8. 1/2 1/4 8= common denominator
A triangle and pentagon.
Or. Quadrilateral and octagon
