Answer:
C) When an altitude is drawn from the right angle of a right triangle it creates three similar triangles.
Step-by-step explanation:
The Inscribed Similar Triangles Theorem states that if an altitude is drawn from the right angle of any right triangle, then the two triangles formed are similar to the original triangle and all three triangles are similar to each other.
Answer:
3,200
Step-by-step explanation:
you would have to multiply then estimate wich round it down an dyou get 3,200
Answer:
probability of Number of earth quakes in a fixed interval of time is to be determined at a mean rate of 1.2 times once every 22 years.
Step-by-step explanation:
Poisson probability distribution is used to determine probability of an event in a fixed interval of time and space given that the event occurs with known mean rate and independently of time since its last occurance.
In this scenario,
Mean is 1.2 times once every 22 years.
probability of number of earth quakes in any fixed interval of time is to be determined
occurance of event that is number of earth quake in a fixed interval is independent variable.
V cylinder = pi * r^2 * h
V = 3.14 * 5^2 * 8
V = 3.14 * 25 * 8
V = 628 ft^3
Answer:
C. sqrt((-3-6)² + (4+2)²)
Step-by-step explanation:
as we are using Pythagoras and asking for the distance as a side length (actually the Hypotenuse, the side opposite of the 90 degree angle) in a right-angled triangle, only an expression of a square root of a sum of squares can be right.
so, A and B are automatically out without even further analysis.
for the distance between 2 points on a coordination grid we build the mentioned right-angled triangle with the difference in x-direction as one side (e.g. "a"), the difference in y-direction as a second side (e.g. "b").
and the direct distance is then the Hypotenuse "c".
you remember Pythagoras :
c² = a² + b²
and therefore
c = sqrt(a² + b²)
in our example "a" is the difference between the 2 x-values.
a = (-3 - 6)
and "b" is the difference between the 2 y-values.
b = (4 - -2) = (4 + 2)
since we have to square them for the formula, the direction of what is subtracted from what is irrelevant, as the square of a negative value is also positive.
c = sqrt((-3 - 6)² + (4 + 2)²)
and that is answer option C
