Steps in constructing a circumscribed circle on a triangle using a just a compass and a straight edge.
1) construct a perpendicular bisector of one side of ΔRST.
2) construct another perpendicular bisector of another side of ΔRST
3) the point where the two bisectors intersect will be the center of the circle.
4) place the compass on the center point, adjust its length to ensure that any corner of the triangle will be reached and draw the circumscribed circle.
Step-by-step explanation:
all work is shown and pictured
The range is {-37,-25,-13,-1}. So you need to figure out what four numbers from this list of numbers (1,2,3,4,5,6,7,8), when applied to this
function, ( f(x)=-6x+11 ), equals these numbers that are in the range {-37,-25,-13,-1}.
So you apply each of these numbers (1,2,3,4,5,6,7,8) into the function (f(x)=-6x+11)
one by one.
f(1)=-6(1)+11=5
f(2)=-6(2)+11= -1
f(3)=-6(3)+11= -7
f(4)=-6(4)+11= -13
f(5)=-6(5)+11= -19
f(6)=-6(6)+11= -25
f(7)=-6(7)+11= -31
f(8)=-6(8)+11= -37
As you can see, f(2),f(4),f(6),and f(8) equal the numbers that are in the range {-37,-25,-13,-1}.
Answer:
P(red and blue) = 0.1667
Step-by-step explanation:
Let A represent choosing a red marble, there are 3 red marbles
Let B represent choosing a blue marble, there are 4 blue marbles
There are 12 total marbles
Then...
P(A) = 3/12
P(B) = 4/12
choosing the first one, then replacing means the first choice has no effect on the probabilities of the second choice, so the situation is independent.
When calculating the probability of independent events, you multiply the probabilities together. There are 2 scenarios where we can get a red and blue marble..
Choosing a red, then a blue marble, the probability is
(3/12)( 4/12) = 12/144 = 1/12
Choosing a blue, then a red marble, the probability is
(4/12)(3/12) = 12/144 = 1/12
So we have a
(1/12) + (1/12) = 2/12 = 1/6 chance for that to happen, to
P(A and B) = 1/6 = 0.1667
Step-by-step explanation:
