Which ratio in this triangle represents tan θ?

Step-by-step explanation:

We know that ,

According to trigonometry,  the ratio of side opposite to an angle to the side adjacent to that angle is equals to the tangent of that angle.

In the given picture we have right triangle  ,

The side adjacent to = 8 units

The side opposite to = 6 units

Then,

Hence, the ratio in this triangle represents tan θ =

this answer is !

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.