Answer:
Step-by-step explanation:
Bag A:
White = 3
Total = 3 White + 2 Red = 5
Prob (white marble from A) =
Bag B:
White = 6
Total = 6 White + 3 Red = 9
Prob (white marble from B) =
Prob (white from Bag A and white from Bag B)
= Prob (white marble from A) x Prob (white marble from B)
= x
=
Answer:
1. 35 km
2. 1 cm to 5m
3. 6 cm
4.
5. 16.73 m
Step-by-step explanation:
Solution 1.
Reading of map scale = 1cm:5km
i.e. 1 cm is equivalent to 5 km
Measurement of map = 7 cm
Actual distance = Measurement of map
Actual distance = 7 = <em>35 km</em>
-------------------
Solution 2.
Length of dining hall = 35 m
Measurement of map = 7 cm
Scale = Measurement of map : Length of dining hall (i.e. ratio)
Scale = 7 cm :35 m = <em>1 cm : 5 m</em>
-------------------
Solution 3.
Length of building = 30 m
Scale = 1 cm to 5m
5 m is equivalent to 1 cm on scale
1 m is equivalent to cm on scale
30m is equivalent to = <em>6 cm</em> on scale
-------------------
Solution 4.
Angle of elevation of A from B =
Angle of depression of B from A = ?
Please refer to the image attached, we can clearly observe that both the angles (i.e. angle of elevation from A to B and angle of depression from B to A )will be equal.
Angle of depression of B from A =
-------------------
Solution 5.
Given that:
String length, or hypotenuse of triangle BC= 25 m
Angle of string with horizontal,
Please refer to the attached image for the clear understanding of the situation.
To find:
Height, AC = ?
We can use trigonometric identity:
OR
============
So, the answers are:
1. 35 km
2. 1 cm to 5m
3. 6 cm
4.
5. 16.73 m
Answer:
The north campus had while the south campus had
.
Step-by-step explanation:
The question stated that there are students in the merged campus. That's the sum of the number of students in the north and the south campus before the merger.
Let denote the number of students in the north campus before the merger. The other
students would all belong to the south campus before the merger.
Before the merger, of the students of the north campus are of music majors. In terms of
, that's
students.
On the other hand, of the students of the south campus are of music majors. That corresponds to
students.
With a similar logic, the number of music students in the merged east campus will be .
The question implies that the sum of students in the two campuses should be equal to the number of music students in the east campus. That is:
.
Solve for :
.
In other words, there are students in the north campus and
students in the south campus before the merger.