ΔAOB is a right angled triangle. Therefore the Pythagorean Theorem applies in this situation.
θ is the angle from a standard position of the line OA
The length of the y component is √(1-0)2 +(-3-(-3))2] =√(12+ 02) = 1 A(-3,1) to B(-3,0) which is opposite
Then the length of the x-component is √[(-3-0)2 +(0-0)2] = √(9+0)= 3 B(-3,0) to O(0,0) which is adjacent
The length of vector OA is √[(-3-0)2 + (1-0)2] = √(9+1) = √(10) A(-3,1) to O(0,0) which is the hypotenuse of the triangle
θ = 180 - α
sinθ = sin(180-α) = opposite/hypotenuse = 1/√10
cosθ = adjacent/hypotenuse = -3/√10
tanθ = opposite/adjacent = 1/-3 = -1/3
α= arcsin(1/√10) ≈ 18
θ =180 -18 ≈162
Answer: b. segment TX = 16 m.
Answer:
Step-by-step explanation:
Reasoning A store sells packages of comic books with a poster. A poster and 5 comics cost $13.99. A poster and 12 comics cost $20.99. Write a linear function rule that models the cost y of a package containing any number x of comic books. Suppose another store sells a similar package, modeled by a linear function rule with initial value $. Use pencil and paper. Explain which store has the better deal. The linear function rule is y nothing.
Answer:
Step-by-step explanation:
56y^2/9-30y+25
Answer: 4.05
x
y −
2
x + 45
y + 9.46
Step-by-step explanation:
9x + 4.05xy + 15y + 30y - 11x + 9.46
4.05xy + 9x - 11x + 15y+ 30y+ 9.46
4.05
x
y −
2
x + 45
y + 9.46
