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
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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This is a quadratic function that can also be expressed as -6x^2 - 24x - 34.
You could also graph this using the vertex of (-2, -10)
Marcel leaves 30 minutes after Carolyn, leaving between them a gap of 40mph*0.5h=20miles
To catch up with the 20miles, Marcel uses the extra (65-40=25)mph that he has.
Therefore 20m/25mph=0.8h=0.8*60min=48minutes after 2:45, which is at 3:33, Marcel catches up to Carolyn.
I think its 91.
NOT Guaranteed this is the Answer. Best of luck to you.
Answer:
6*3= 18
Jeff packed 18 pairs of socks
Step-by-step explanation: