Answer:
14) 21.136505024965 m
15) 43.076759215619 km
Step-by-step explanation:
14)
let h be the height of the lighthouse:
tan(41.3) = 18.7/h
Then
h = 18.7÷tan(41.5)
= 21.136505024965 m
………………………………………
15)
90-71.4 =18.6
Let s be the distance that the plane flew
towards the south:
tan(90 - 71.4) = s/128
Then
tan(18.6) = s/128
Then
s = tan(18.6)×128
= 43.076759215619 km
Let say that you want to take 1 area. Before the event, the probability of A and B would be:
A= blue and green= (18/12x6) + (18/12x6) = 36/72
B= green and yellow= (18/12x6) + (18/12x6) <span>= 36/72
</span>
If the area that picked is green, then the probability of A and B become
A= blue and green= (18/12x6-1) + (17/12x6-1) = 35/71
B= green and yellow= (17/12x6-1) + (18/12x6-1) = 35/71
Both of the areas of A and B is decreased because they share the probability of green. So A and B would be a dependent event.
I’m so sorry if I did this math wrong. But I’m 99.9% sure I did it right.
1-56
2-42
3-82
4-56
5-45
6-82
7-98
8-82
9-98
10-82
11-98
12-82
13-98
14-82
Answer: m=2, b=-3
Explanation: rewrite in slope intercept form - y=2x-3. Subtracting is the same as adding therefore it becomes, y=2x+(-3) then using the formula- y=Mx+b identify the slope which is 2 then identify the y-intercept which would be -3.
Hope that helps! Have a good day :)
Given:
A figure of a circle.
To find:
The value of x.
Solution:
Central angle theorem: According to this theorem, the central angle on an arc is twice of the subtended angle on that arc.
Using the central angle theorem, we get
Therefore, the value of x is 70 degrees.