Triangle PDQ has:
Side "p" is opposite Angle P
Side "d" is opposite Angle D = 45º + 23º = 68º
Side "q" is opposite Angle Q
Use the Law of Cosines:
d² = p² + q² − 2 • p • q • cos(D)
d² = (4.24)² + (4.24)² − 2 • (4.24) • (4.24) • cos(68º)
d² = 2(4.24)² − 2(4.24)² • cos(68º)
d² = 2(4.24)² • [ 1 – cos(68º) ]
<span> d = 4.74 ft
</span>Hope this helps
The probability of losing per flip is 1/2. Multiply 1/2 by itself 6 times since the condition is asking for the probability for the person to lose 6 times in a row. 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/64. The answer is 1/64.
6% of her $37,000 in sales: 37,000 x 0.06 = 2220
Salary $1,800 + $2,220 (commission) = $4,020
So her total earnings: $4,020