ABC ,⊿PQR,select an angle ∠ACB =θ
LET θ’s (opp,adj,hypo)=(AB,BC,AC) and (PQ,QR,PR)
Then by similarity,
sinθ=AB/AC=PQ/PR ,cosθ=BC/AC=QR/PR ,tanθ=AB/BC=PQ/QR
the corresponding ratio of (adjacent side/hypotenuse),and hence
the cosine ratio must be the same
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Given:
The table of values.
To find:
The equation that best represents the relationship.
Solution:
From the given table it is clear that the value of x increasing by 2 and the value of y increasing by 3. Since y is increasing at a constant rate with respect to x, therefore the given table represents a linear relationship.
Consider any two points from the given table. Let the two points are (2,2) and (4,5). So, the equation of the line is




On further simplification, we get



Therefore, the correct option is A.
Answer:
Given that in the jar, navy beans and white beans in a ratio of 1:9. Let the amount of navy beans be x.
Then, the amount of white beans in the jar is 9x.
Given that amount of navy beans is x=90
Total amount of beans in the jar is x+9x=10x=10+90=900
So the ratio is 1:9
Step-by-step explanation:
For this case we have to define "y" directly with "x" when there is a constant of proportionality "k", such that:

This is known as direct variation.
On the other hand, if y varies inversely with x we have to:

This is known as inverse variation.
Answer:
, direct variation
Answer:
Answer is in picture
Step-by-step explanation:
Hope it is helpful....