First, it is to be understood that logarithms allow a person to subject a number as an exponent of a base. As an example of ways in which logarithm is used to aid us in difficult calculations is when we calculate for the pH of a substance which has a formula of,
pH = -log[H+]
Answer:
17 feet
Step-by-step explanation:
A right angle has 3 sides: the adjacent, the opposite and the hypotenuse.
The hypotenuse is the largest side of the right angle
The shorter sides are 15 feet and 8 feet which should represent opposite and adjacent sides respectively
Opposite = 15 feet
Adjacent = 8 feet
Hypotenuse = x feet
Using Pythagoras theorem to solve
Hypotenuse ² = opposite ² + adjacent ²
x² = 15² + 8²
x² = 225 + 64
x² = 289
Find the square root of both sides
√x² = √289
x = 17 feet
The 3rd side is 17 feet
Answer:
option B: 31/4
Step-by-step explanation:
Given
-3/4, -2/3 , -7/12, -1/2...........
General formula for arithmeti sequence to find nth term is
a_n = a_1 + (n-1) d
first term a_1 = -3/4
We find out common difference 'd'
Lets find the difference of first two terms

common difference is 1/12
now we need to find 103rd term

First term is -3/4, d= 1/12




