Step-by-step explanation:
Set M = {20,22,24,26,28,30,32,34}
n(M) = no. of elements in set M
i.e.
n(M) = 8
Step-by-step explanation:
The area of a rectangle is 171 m²
Let l is the length and b is the width of the rectangle
It width is 10 m less than the length. So,
b = l-10 ...(1)
Area of a rectangle is given by :

or
l = 9 m or l = 19 m
If l = 9 m,
b = 9-10 = -1 m (can't be possible)
If l = 19 m
b = 19-10 = 9 m
So, the length an the breadth of the rectangle is 19 m and 9 m respectively.
X = -1/4
Move the 1 to the other side then divide by 4 on both sides
Using the Law of Sines (sina/A=sinb/B=sinc/C for any triangle)
sinR/30=sin96/54
sinR=30sin96/54
R=arcsin(30sin96/54)°
R≈33.5° (to nearest tenth of a degree)