Mens 100m Breaststroke (swimming) was broken by 0.4 seconds by Adam Peaty
Attached below is the problem that I worked out. And I checked my answer simply by plugging it in
Answer:

Step-by-step explanation:
If angle C is the right angle, then side c is the hypotenuse.
Use Pythagoras' Theorem
to find the length of side a:
Given:





<u>Tan Trig Ratio</u>

where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
Given:
= A- O = side opposite angle A = a = 9
- A = side adjacent angle A = b = 2√22

Answer:
The required rate of interest = 14.285%
Step-by-step explanation:
Here, The principal amount = 7,000
The final paid amount = 9,000
Time = 2 years
Let us assume the rate of interest = R
Now, Simple Interest = Amount - Principal
= 9,000 - 7,000 = 2,000
So, the SI on the given principal for 2 years = 2,000

or, R = 14.285%
Hence, the required rate of interest = 14.285%
Answer:

Step-by-step explanation:
So we have the expression:

To simplify, simply combine the like terms. Therefore:

Further notes:
To understand why we can combine like terms in the first place, we just need to use the distributive property. So we have the expression:

Now, factor out a y from the three terms:

Do all the operations inside the parenthesis:

And we moved the y back to the front!
This is the same result as before. When combining like terms, this is what we're essentially doing but without doing the distributive property manually. I hope you understand a bit better on how and why we can combine like terms!