Answer:
12√2
Step-by-step explanation:
45-45-90 special right triangles follow the form of x,x,x√2
Where both the sides that are across from the same angle (45) are equal in length and the hypotenuse is that value multiplied by the √2
Answer:
3/2
Step-by-step explanation:
divide 33 by 22, you get 1.5
3/2 is 1.5 so ya
Answer:
letter C: 100
Step-by-step explanation:
This problem can be configured as an arithmetic progression:
The first value is 10, the ratio is also 10 (the multiples of ten are 20, 30, 40, ...) and the number of terms is 19 (10, 20, 30, ... , 180, 190 -> total of 19 numbers).
So, we can use the following formula to calculate the sum of all these numbers:
Sn = n(a1 + an)
/2
where Sn is the sum, n is the number of terms, a1 is the first term and an is the last one.
The result we want is the average of the sum, so we need to divide Sn by n:
Average = Sn/n = n(a1 + an)
/2n = (a1 + an)
/2 = (10+190)/2 = 200/2 = 100
The correct option is letter C.
Answer:
the empty set {∅}
Step-by-step explanation:
{x | x < -3} ∩ {x | x > 5} is giving us
(-∞, -3) intersecting (5, ∞).
Since those two intervals do not intersect the solution is the empty set