Answer:
C
Step-by-step explanation:
We know for the problem that the performer earned $120 at a performance where 8 people attend. We also know that he u<span>ses 43% of the money earned to pay the costs involved in putting on each performance, so we need to find the 43% of $120. To do that, we are going to divide 43% by 100%, and then multiply it by $120:
</span>

Now we know that the performer uses $51.6 of $120 to pay the costs involved in putting on each performance. The only thing left to find his profits is subtract $51.6 from $120:

We can conclude that the performer makes a profit of $68.4 when 8 people attend his performance.
Answer:
BE = FC = 3 inches, EF = 2 inches
Step-by-step explanation:
The sum of angles A and D is 180°, so the sum of their half-angles is 90°. That is, half of A plus half of B add to 90°, so the bisector from B intersects AE at a right angle. Call that point of intersection X.
Then angle ABX = angle EBX, so triangle ABX is congruent to triangle EBX. Sides AB and BE are corresponding sides of congruent triangles.
The same argument applies to sides DC and CF.
Thus we have BE = CF = 3 inches, and EF is the left-over distance, 2 inches.
The answers to the bearing problems are listed below:
- How far North is the ship now ___________ 38.82 km
- How far East is the ship now ____________ 144.89 km
- How far is the ship from its starting point_____241.48 km
- On what bearing is it now from its original position____035°
<h3>Meaning of bearing.</h3>
Bearing can defined as branch of mathematics that describes the accurate location of an object at any point in time.
<h3>Analysis</h3>
The answers to the problem from 1-3 can be gotten by using sin and cos to find the missing sides.
The final value can be gotten using the cosine rule
4). bearing from original position =
(
+
﹣
) /
= 35°
In conclusion, the answers for each is given in the list above.
Learn more about Bearing: brainly.com/question/24142612
#SPJ1
Answer:
The probability that a randomly selected carton has a puncture or a smashed corner is 0.143
Step-by-step explanation:
we know that P(A∪B) = P(A) + P(B) - P(A∩B).
since given that P(A) = Probability of getting puncture = 0.08
P(B) = probability of getting smashed corner = 0.07
P(A∩B) = probability of getting both puncture and smashed corner = 0.007
P(A∪B) = probability of getting any of them
so P(A∪B) = 0.08 + 0.07 -0.007 = O.143