Answer:
See explanation
Step-by-step explanation:
A box contains 2 blue cards numbered 1 through 2. Let them be named B1 and B2. This box also contains 3 green cards numbered 1 through 3. Let them be named G1, G2 and G3.
The sample space of picking a blue card followed by a green card is
B1, G1
B1, G2
B1, G3
B2, G1
B2, G2
B2, G3
So, there are 6 different outcomes in this sample space.
Answer:
A= 75.06 Sq Cm
Step-by-step explanation:
Please refer to the picture attached with this.
In ΔABD
AB = 8.5 , AD = 6 and say BD = x
Applying Pythagoras theorem in this triangle
Pythagoras theorem says
where c is the side opposite to the right angle, and b and a are the other two sides of the right angled triangle.
Hence side 
a = 6.02+19
a = 25.02
Now we apply the formula for area of a triangle which is given as
Where b is the base , here we have base as a = 25.02
h is the height , here h = 6
Putting these values in Formula we get
Hence Area of the triangle is 75.06 sq cm
The answer is shown above
Answer:
b
Step-by-step explanation:
The median is the middle value of the data set in ascending order. If there is no exact middle value then it is the average of the values either side of the middle.
Arrange the data in ascending order
48, 52, 54, 57, 57, 57, 61, 61, 65
↑
The median of the data set is 57 → b
9514 1404 393
Answer:
D. 9
Step-by-step explanation:
The segment lengths are equal, so ...
x^2 = 90-x
x^2 +x -90 = 0 . . . . . . add x-90 to put in standard form
(x +10)(x -9) = 0 . . . . . factor
The solutions are the values of x that make the factors zero: -10, 9.
The positive value of x is 9.
