Answer:
m = 1.643
Step-by-step explanation:
m = rise/run
= 23/-14
Answer:
Option (D)
Step-by-step explanation:
Formula to get the area of a regular polygon in a circle will be,
Area = ![n[\frac{1}{2}\times (\text{Base})\times (\text{Height})]](https://tex.z-dn.net/?f=n%5B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%28%5Ctext%7BBase%7D%29%5Ctimes%20%28%5Ctext%7BHeight%7D%29%5D)
= ![n[\frac{1}{2}\times (\text{s})\times (\text{h})]](https://tex.z-dn.net/?f=n%5B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%28%5Ctext%7Bs%7D%29%5Ctimes%20%28%5Ctext%7Bh%7D%29%5D)
Here 'n' is the number of sides.
If n increases, h approaches r so that 'rh' approaches r².
In other words, if the number of sides of the polygon gets increased, area of the polygon approaches the area of the circle.
Therefore, Option (4) will be the answer.
The older brother was born three years before the young one, which means that their age will always differ by 3. Don't be fooled by the fact that, in this particular year, the age of the older brother is exactly twice the age of the younger! This is not a property that will be carried on with the years: for example, next years bother A will be 4 and brother B will be 7, and 4 is not half of 7!
So, since the property that remains constant is the three year gap, when brother B (the older one) will be 60 years old, brother A will be 3 years younger, as always, which means that he will be 57.
To find n-therm of a geometric sequence, we are going to use the formula

where:

is the term we are looking for

is the first term

is the ratio

is the position of the number in the sequence
From the question we now that

,

, and

. Lets replace those values into our formula to get:



We can conclude that in our geometric sequence

; therefore, the answer is
A.