Answer:
C. No. The sum of the dimensions of the eigenspaces equals nothing and the matrix has 3 columns. The sum of the dimensions of the eigenspace and the number of columns must be equal.
Step-by-step explanation:
Here the sum of dimensions of eigenspace is not equal to the number of columns, so therefore A is not diagonalizable.
Answer: 0.01
Step-by-step explanation:
Let the events are :
C = paving stones found to be cracked.
D = paving stones found to be discolored.
Given : Total stones : T = 600 (i)
C = 15
D= 27
C'∩D'= 564 (ii)
Since C'∩D' = (C∪D)' = T- C∪D (iii)
From (i) , (ii)and (ii) , we have
564 = 600- C∪D
⇒ C∪D=600- 564= 36
Formula : C∩D= C+D- C∪D
Put values , we get
C∩D= 15+27-36=6
Now ,
The probability that it is both cracked and distorted is 0.01.
Answer:
41.7m²
Step-by-step explanation:
As we can see, the area of this shape is simply the sum of 3 rectangles
Rectangle A has an area of 6 times 4 or 24m²
Rectangle B has an area of (3.8-2) times 3.5 or 1.8 times 3.5 or 6.3m²
Rectangle C has an area of 3 times 3.8 or 11.4m²
Adding that up gives 41.7m²
Use trigonometry to find L.
Tangent = opposite over adjacent on any right triangle.
tan(L) = 18/23
Take the inverse on both sides.
arctan(tan(L)) = arctan(18/23)
L = 38.0470425318
L = 38.05°
Done.
