Given:
In a right angle triangle ABC,
, and 
To find:
The value of AC.
Solution:
In a right angle triangle,




On cross multiplication, we get



Therefore, the measure of AC is 12.304 m.
Answer:
54x + 18 equivalent to (6 • 9x) + (6 • 3)
18(3x – 1) equivalent to 54x - 18
(6 • 9x) + (6 • 1) equivalent to 54x + 6
A: Suppose Mr. Moore decides to use 20 seventh graders as the sample. Is this sample a random sample? Explain your reasoning.
Ans: No, because he only chose the seventh graders which is invalid since he wants to have to use the mean height which involves the 6th, 7th and 8th graders.
B: Mr. Moore decides to use a random number generator to select 20 students from the school. Suppose that when choosing 20 students using the random generator on the graphing calculator, Mr. Moore’s sample is all eighth graders. Does that mean the sample is not a random sample? Explain your reasoning.
Ans: No, it is still a random sample. Since he is using a random generator, there is a possibility that the random generator would pick all students from the 8th grade. Unlike the first one, the random generator is not biased towards any grade, it is just a coincidence.
angles a and b are supplementary because they form a straight line