Answer:
It is an acute angle due to the angle formed at the vertex being less than 90 degrees
Answer:
We have to use the mathematical induction to prove the statement is true for all positive integers n.
The integer is divisible by 3 for every positive integer n.
is divisible by 3.
Hence, the statement holds true for n=1.
- Let us assume that the statement holds true for n=k.
i.e. is divisible by 3.---------(2)
- Now we will prove that the statement is true for n=k+1.
i.e. is divisible by 3.
We know that:
and
Hence,
As we know that:
was divisible as by using the second statement.
Also:
is divisible by 3.
Hence, the addition:
is divisible by 3.
Hence, the statement holds true for n=k+1.
Hence by the mathematical induction it is proved that:
The integer is divisible by 3 for every positive integer n.
Answer:
i wanna say its C,D,E,F but i get rational and irrational mixed u0
Length: 2.6 meters
Width: 1.8 meters
Area: 4.68 meters
Since the scale is 1/40, we can multiply the centimeter measurements by 40 thus making it our scale factor.
Length
2.6 x 40 = 260
260 cm = 2.6 m
Width
4.5 x 40 = 180
180 cm= 1.8 m
Area
1.8 x 2.6 = 4.68 m
Answer: 5 valid arrangements
Step-by-step explanation:
This depends on whether the boys or girls swapping places are considered unique solutions. I'm going to assume that is no, because there would be an unrealistic amount of solutions if it is true.
Assuming G = girl and B = boy, these are the possible arrangements.
(I will bold the valid solutions).
GGBBBB
GBGBBB
GBBGBB
GBBBGB
GBBBBG
BGGBBB
BGBGBB
BGBBGB
BGBBBG
BBGGBB
BBGBBG
BBBGGB
BBBBGG
Thus, there are 5 valid arrangements.
Hope it helps <3