<h3>Sample space = {a,b,c,d,e,f}</h3><h3>Event space = {a,c}</h3>
We simply list all of the letters mentioned as they are the possible outcomes. We can only pick one item from the sample space. The event space is the set of outcomes where we want to happen (picking either an 'a' or 'c').
Answer:
x=30. y=60
Step-by-step explanation:
DG is a straight segment so it sums to 180 degrees. ECG is a right angle so 90 degrees. The rest is described as 2x and x. So 3x=90 degrees. x=30. Eh is also a straight segment. since we know x, we know that ECD is 60 degrees. So y+y=120 degrees. 2y=120. y=60.
Answer:
answer is : Cos(13pi/8) = 0.3826
Step-by-step explanation:
We have, Cos (13pi/8)
Since 13pi/8 can be shown as 3pi/2 < 13pi/8 < 2pi
Hence 13pi/8 lies on fourth quadrant.
In fourth quadrant cosine will be positive.
Cos (13pi/8) = cos(3pi/2 + pi/8)
applying formula cos(A+B) = cos A cosB - sinAsinB
i.e Cos(3pi/2 + pi/8) = cos(3pi/2)cos(pi/8) - sin(3pi/2)sin(pi/8)
∵ Remember cos(3pi/2) =0 , sin(3pi/2) = -1
Cos(3pi/2 + pi/8) = 0 cos(pi/8) - (-1)sin(pi/8)
Cos(3pi/2 + pi/8) = 0 + 0.3826
Cos(3pi/2 + pi/8) = 0.3826
Hence we got Cos(13pi/8) = 0.3826
Answer:
96π
Step-by-step explanation:
V=96π
The area which is not in used for the flower gardens is 10964 sq ft.
Step-by-step explanation:
Given,
Length (l) of the rectangular park = 160 ft
Width (b) of the rectangular park = 80 ft
Length (l) of each rectangular flower garden = 18 ft
Width (b) of each rectangular flower garden = 17 ft
To find the area which is not in used.
Formula
The area of rectangle = l×b
Now,
The area of the rectangular park = 160×80 sq ft = 12800 sq ft
The area of each rectangular flower garden = 18×17 sq ft = 306 sq ft
The area of 6 rectangular flower garden = 306×6 sq ft = 1836 sq ft
So,
The area which is not in used = 12800-1836 sq ft = 10964 sq ft.
