Given:
In a right triangle at B,

To find:
The length of the sides b and c and angle B.
Explanation:
Using the trigonometric ratio,

Using the trigonometric ratio,

Using the angle sum property,
The angle B becomes,

Final answer:
The values are,
Take the as together and take the bs together.
5a + 3b - 6a - b.
5a - 6a + 3b - b. Then simplify.
-a + 2b.
That's it.
Answer:
16 seconds (Approximately)
Step-by-step explanation:
Given:
The function that gives the distance of snowboarder from the bottom of hill with time 'x' is:

Final position of the snowboarder is 
Now, plugging in 100 for 'd' and solving for 'x', we get:

Adding -1100 both sides, we get:

Dividing both sides by -4, we get:

Taking square root and neglecting the negative root as time can't be negative. So,

Therefore, after 16 seconds, the snowboarder will be at a distance of 100 ft from bottom of hill.
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.
I’m not 100% sure but isn’t it x2 +xy +y2?