Theorem of Pythagoras: a²+b²=c², where a, b is legs and c is hypotenuse.
We've got one leg known, let it be a=sqrt 3,
and the hypotenuse - c=2sqrt3
Putting these into the theorem, we get an equation: (sqrt3)²+b²=(2sqrt3)² . Solving it, we get:
3+b²=4*3
3+b²=12
b²=9
This equation has two possible roots: b=3 and b=-3. Since this is a triangle, there can't be a side with a negative value => b=3.
The answer is a. 3
Dillion and nevaeh- hope this helps
Answer:
On average the size of the area of the forest burnt down every minute is 10117.14 m²
Step-by-step explanation:
The given parameters are;
The rate consumption of forest land by the fire = 25200 acres/week
Therefore, we have;
The number of minutes in one week = 60 × 24 × 7 = 10080 minutes
Therefore;
The rate consumption of forest land by the fire per minute = 25200/10080 acres/minute = 2.5 acres/minute
The number of square meters in one acre is given as follows;
1 acre = 4,046.856 m²
Therefore;
2.5 acres/minute = (2.5 × 4,046.856 m²/(1 acre)) acres/minute = 10117.14 m²/minute
Which give;
The rate consumption of forest land by the fire= 10117.14 m²/minute.
The rate of the fire consumption of the forest is 10117.14 m²/minute.
