Answer:
If
is divisible by 3, the n is also divisible by 3.
Step-by-step explanation:
We will prove this with the help of contrapositive that is we prove that if n is not divisible by 3, then,
is not divisible by 3.
Let n not be divisible by 3. Then
can be written in the form of fraction
, where x and y are co-prime to each other or in other words the fraction is in lowest form.
Now, squaring

Thus,


It can be clearly seen that the fraction
is in lowest form.
Hence,
is not divisible by 3.
Thus, by contrapositivity if
is divisible by 3, the n is also divisible by 3.
Answer:
5 + 25 + 75 = 105 dollars
Step-by-step explanation:
The easiest way is to just take this day by day.
day 1: 5 dollars
day 2: day1^2 = 5^2 = 25
day 3: 3 * day2 = 3 * 25 = 75
Then sum them: 5 + 25 + 75
A suitable solver will tell you instantly that the measure of b is 179.18 ft.
_____
If you want to do it yourself (meaning also with the aid of a calculator), you can use the Law of Sines. The given side is side "c", so you need the measure of angle C. That will be
180° -33° -63° = 84°
Then side "b" can be found from
b/sin(B) = c/sin(C)
b = c*sin(B)/sin(C)
b = (200 ft)*sin(63°)/sin(84°) ≈ 179.183 ft
Say you have small lego bricks (lets say 2 inch in length) and large lego bricks (lets say 3 inches in length) so you want to find out how many little legos will it take to equal 4 large ones, because they are smaller you need more to create the same length as the larger one, hints multiplying.
easiest way i can think of to help you out :)
Answer:
99°
Step-by-step explanation:
<8 = 99° [Since, corresponding angles of parallel lines]