The atmospheric pressure on an object decreases as altitude increases. If a is the height (in km) above sea level, then the pres
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What is an inverse?
Recall that a number multiplied by its inverse equals 1. From basic arithmetic we know that:
The inverse of a number A is 1/A since A * 1/A = 1 (e.g. the inverse of 5 is 1/5)
All real numbers other than 0 have an inverse
Multiplying a number by the inverse of A is equivalent to dividing by A (e.g. 10/5 is the same as 10* 1/5)
What is a modular inverse?
In modular arithmetic we do not have a division operation. However, we do have modular inverses.
The modular inverse of A (mod C) is A^-1
(A * A^-1) ≡ 1 (mod C) or equivalently (A * A^-1) mod C = 1
Only the numbers coprime to C (numbers that share no prime factors with C) have a modular inverse (mod C)
Step-by-step explanation:
Please check image.
1. If AD : DB = 5 : 3, then AD = 5x in and DB = 3x in.
2. If BE : EC = 1 : 4, then BE = y and EC = 4y.
3. Consider ΔABc. The area of this triangle is
where is the heigth drawn to the side AB.
Since AB = AD + DB = 5x + 3x = 8x, you have that
4. Consider ΔADC. The area of this triangle is
5. Consider ΔBDC. The area of this triangle is
On the other hand,
6. Consider ΔCDe. The area of this triangle is
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