Answer:
3/2 cm/s
Step-by-step explanation:
speed = gradient of the line (slope)
To calculate the slope divide the change in y by the change in x:
(9 - 0) / (6 - 0) = 9/6 = 3/2 cm/s
It would be HL theorem because the triangles are at 90 deg with a right angle
Answer: Simplify
= 5/6 =
= 0.83
Step-by-step explanation: I hope I'm correct :)
Exercise 1:
The angle in the low left corner is supplementar with the external angle. Since the external angle is 105, the inner angle is 75.
Since in every triangle the inner angles sum to 180, we have

Exercise 2:
Again, you need to use the fact that in every triangle, the sum on the inner angles is always 180.
Exercise 3:
Since PQ and BC are parallel, triangles APQ e ABC are similar. This means that their side are in the same proportion, so

Plug the known values of AB, AP and AC and solve for AQ:

Answer:
190578024 ways.
Step-by-step explanation:
We are asked to find the number of ways in which a committee of 5 be chosen from 120 employees to interview prospective applicants.
We will use combinations to solve our given problem.
, where,
n = Total number of items,
r = Number of items being chosen at a time.
Upon substituting our given values in above formula, we will get:







Therefore, the committee of five can be chosen from 120 employees in 190578024 ways.