Tangent is Opposite over adjacent.
The opposite side of Angle A is 6 and the adjacent side is 8.
The tangent ratio would be 6/8
Answer:
The required recursive formula is

Step-by-step explanation:
Mohamed decided to track the number of leaves on the tree in his backyard each year.
The first year there were 500 leaves

Each year thereafter the number of leaves was 40% more than the year before so that means

For the third year the number of leaves increase 40% than the year before so that means

Similarly for fourth year,

So we can clearly see the pattern here
Let f(n) be the number of leaves on the tree in Mohameds back yard in the nth year since he started tracking it then general recursive formula is

This is the required recursive formula to find the number of leaves for the nth year.
Bonus:
Lets find out the number of leaves in the 10th year,

So there will be 10330 leaves in the 10th year.
To determine the system of inequality that has been graphed, we need to be very smart.
Observe that all the equations are the same.
Also note that all the lines are solid. This should tell you that the inequities should involve.

Therefore the answer is between option A and B.
So we choose a point in the solution region to discriminate between A and B.
Let us choose the origin since that is easy to evaluate.
We substitute into option A to get.



The above statements are false
We now substitute into option B



Both statements are true, therefore the correct answer is option B.
Answer:
3. a line perpendicular to a given line through a point not on the line
Step-by-step explanation:
The point not on the line suggests that choices 1 and 3 are possibilities. The fact that the dotted line is not parallel (and is perpendicular) to the solid line suggests that choice 3 is applicable and choice 1 is not.
The short arcs are equidistant from the end points of the chord that intercepts the larger arc. Hence the line through the crossing point of the short arcs and the point on the other side of the line will be the perpendicular bisector of the chord, and will be perpendicular to the solid line. Creating that perpendicular is likely the purpose of the construction.