Angie will now have 100 stuffed animals
9514 1404 393
Answer:
0.344
Step-by-step explanation:
There are 20C10 = 184,756 ways to choose 10 problems at random from a list of 20.
There are 10C5 = 252 ways to choose 5 of the 10 algebra problems, and the same number of ways to choose 5 of the 10 geometry problems. Then there are 252² = 63,504 ways to choose 5 problems each of algebra and geometry.
The probability of choosing 5 problems in each category is ...
63504/184756 ≈ 0.344
V = ( 9*2 ) / 3 ;
v = 18 / 3 ;
v = 6 ;
a. is the right answer;
( 119.5 / 151 ) * 100 = 11950 / 151 = 79.1 ;
The percent is 79.1%;
c. is the right answer;
1 - (40/100)*1 = 1 - 2 / 5 = 3 / 5 = 0.60 ;
d. is the right answer.
Answer: Choice A. sin(A) = cos(B)
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Explanation:
The rule is that sin(A) = cos(B) if and only if A+B = 90.
Note how
- sin(A) = opposite/hypotenuse = BC/AB
- cos(B) = adjacent/hypotenuse = BC/AB
Since both result in the same fraction BC/AB, this helps us see why sin(A) = cos(B). Similarly, we can find that cos(A) = sin(B).
In the diagram below, the angles A and B are complementary, meaning they add to 90 degrees. So this trick only applies to right triangles.
The side lengths can be anything you want, as long as you're dealing with a right triangle.
Here, the equation of parabola is: (-36y)=x^2
The standard form of parabola is:
(X-h)^2=4p(y-k).
According to given equation, vertex = (0,0) and p = -9
This a vertical parabola opening down, because p = -9 here.
Therefore ditectrix will be y= -9
