Answer: The number of containers of cookies machine fill in 8 hours can be, 1920
Step-by-step explanation: You would need to find how many containers of cookies they make in a hour which is 240 so then 240 times 8 is 1,920
The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The value of sinθ can be written as (15/17).
<h3>What is Sine (Sinθ)?</h3>
The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,
Sin(θ) = Perpendicular/Hypotenuse
![\rm{Sine(\theta) = \dfrac{Perpendicular}{Hypotenuse}](https://tex.z-dn.net/?f=%5Crm%7BSine%28%5Ctheta%29%20%3D%20%5Cdfrac%7BPerpendicular%7D%7BHypotenuse%7D)
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The hypotenuse is the longest side of the triangle.
Given that the terminal side of an angle in standard position passes through P(15, -8). Therefore, the measure of the perpendicular will be 15 units, while the measure of the base will be 8 units. Now, the value of the hypotenuse of the triangle is,
Hypotenuse = √(15²+8²) = 17 units
Further, the value of sinθ can be written as (15/17).
Learn more about Sine:
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Area = 1/2 * base * height
base = the vertical line form (x1 y2) to (x1 y1) = 6 units
height = horizontal line from the vertical line to point (x3 y3) = 7 units
So area of triangle = 1/2 * 6 * 7 = 21 sq units
Step-by-step explanation:
(7,16) (3,8)
(8-16)/(3-7)
-8/-4= 2
y - 16 = 2(x - 7)
y - 16 = 2x - 14
y = 2x + 2