He would have a total of 90 yards, and I would count by tens on a number line.
Answer:
See below.
Step-by-step explanation:
1. (1 / 2)[cos(a – b) – cos(a + b)]
= 1/2 ( cosa cosb + sina sinb - (cosa cosb - sina sinb)
= 1/2 ( cosa cosb - cosa cos b + sina sinb + sina sinb)
= 1/2 ( 2 sina sinb)
= sina sinb.
(I used the 2 identities cos(a - b) = cosa cosb + sina sinb) and
cos (a + b) = cosa cosb - sina sinb.)
2. sin (π/2 - x) = sin (π/2) cos x - cos(π/2) sin x
= 1 * cos x - 0 * sinx
= cosx - 0
= cos x.
(I used the identity sin(a - b) = sina cosb - cosa sinb
and the fact that sin(π/2) = 1 and cos (π/2) = 0. )
Answer:
0.00390625
Step-by-step explanation:
For coins :
Number of rolls, trials, n = 4
P(heads) = 0.5
Using binomial probability formula :
P(x =x) : nCr * p^x q ;
P(obtaining exactly 4 heads) = 4C4 * 0.5^4 * 0.5^0 = 1 * 0. 0625 * 1 = 0.0625
P(even number from 4 coin tosses)
Even faces = (2,4,6)
Total faces = (1,2,3,4,5,6)
P(success) = 3/6 = 0.5
P(obtaining exactly 4 even) = 4C4 * 0.5^4 * 0.5^0 = 1 * 0. 0625 * 1 = 0.0625
Hence, obtaining 4 even outcomes and 4 heads = 0.0625 * 0.0625 =0.00390625
Answer:
50
Step-by-step explanation:
The sum of the angles of a triangle is 180
A +B +C = 180
90 +4x+ 7x-20 =180
Combine like terms
70+ 11x = 180
Subtract 70 from each side
70-70+11x = 180-70
11x=110
Divide each side by 11
11x/11= 110/11
x = 10
We want to find angle C
C = 7x-20
= 7*10-20
= 70-20
= 50
