Answer:
∠ B ≈ 41.81°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin B =
=
=
, thus
B =
(
) ≈ 41.81° ( to the nearest hundredth )
Answer:
N is (8,5)
Step-by-step explanation:
Find the difference between M, and A, then add it to the M coordinates
The difference between M (x) and A (x) is 3, so you have to add 3 to M's x coordinate to get the N's x coordinate.
Do the same for the y coords and you will get (8,5)
This isn’t a math equation
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.
Answer: 3:1
Step-by-step explanation: For every 3 wins, there is 1 loss. 60/20=3 20/20=1.