Draw a box plot for the following data. {35, 50, 50, 48, 48, 32, 38, 41, 48, 34, 29, 23, 41, 34, 43}
loris [4]
I can't really draw one, but the points would be, 23,34,41,48,50
There are 146 - 84 = 62 girls
ratio is 84:62
simplifies to 42:31
The top row of matrix A (1, 2, 1) is multiplied with the first column of matrix B (1,0,-1) and the result is 1x1 + 2x0 + 1x -1 = 0 this is row 1 column 1 of the resultant matrix
The top row of matrix A (1,2,1) is multiplied with the second column of matrix B (-1, -1, 1) and the result is 1 x-1 + 2 x -1 + 1 x 1 = -2 , this is row 1 column 2 of the resultant matrix
Repeat with the second row of matrix A (-1,-1.-2) x (1,0,-1) = 1 this is row 2 column 1 of the resultant matrix, multiply the second row of A (-1,-1,-2) x (-1,-1,1) = 0, this is row 2 column 2 of the resultant
Repeat with the third row of matrix A( -1,1,-2) x (1,0, -1) = 1, this is row 3 column 1 of the resultant
the third row of A (-1,1,-2) x( -1,-1,1) = -2, this is row 3 column 2 of the resultant matrix
Matrix AB ( 0,-2/1,0/1,-2)
Answer:
The height of the tower = 420.48 meters
Step-by-step explanation:
For better understanding of the solution, see the figure attached below :
Let the height of the tower be x meters
Now, using the laws of reflection : angle of reflection = angle of incidence
Also, both the tower and the tourist are standing parallel to each other
⇒ ∠A = ∠i ( Alternate interior angles are equal)
Similarly, ∠D = ∠r ( Alternate interior angles)
But, ∠i = ∠r
⇒ ∠A = ∠D
Also, the tourist and the tower is perpendicular to the ground surface.
⇒ m∠B = m∠E = 90°
Now, in ΔABC and ΔDEC
∠A = ∠D (Proved above)
m∠B = m∠E = 90°
So, by AA postulate of similarity of triangles, ΔABC ~ ΔDEC
As the sides of similar triangles are proportional to each other
Hence, The height of the tower = 420.48 meters
