Answer:
Cosθ = 3/5
Step-by-step explanation:
Given:
In ∆ ABC.
AB measures = 4
BC measures = 5
CA measures = 3
The angle formed at point C is marked theta
angle A is the right angle
Find attached the diagram from the given information.
We are to find the cosine ratio. To do this, we would apply SOHCAHTOA in trigonometry
Sine ratio: Sinθ = opposite /hypotenuse
Cosine ratio: Cosθ = adjacent/hypotenuse
Tangent ratio: Tanθ = opposite/adjacent
From the diagram,
adjacent = AC
hypotenuse = BC
Using the above formula,
Cosθ = adjacent/hypotenuse = AC/BC
Cosθ = 3/5
Answer: 491 cards
Step-by-step explanation:
Given
Steve had 10 more cards than Jeff
Suppose Jeff has x cards
So, steve has x+10 cards
Steve handover his cards to Jeff
Now, Jeff has x+x+10=2x+10 cards
It must be equal to 992
Jeff started with 491 cards