Given that in a ΔABC, Ellen house lies at vertex A and bunkhouse is put somewhere along BC, let it be D.
Please refer the diagram attached.
We are also given that D must be placed such that 
holds true.
Let us re write the above equation such that CD and BD lie on one side.
That is 
Which is nothing but angle bisector theorem.
Hence AD must bisect the angle A then only the given condition will hold true.
Hi
AB is a diameter so radius of circle is 24/2 = 12
Now AC = 2π *12 * (150/360) ≈ 31.42
The teacher will use 3 rolls only to have perfect measurements.
1 yard = 3 feet
4 large bulletin boards are there each needing 9 yards of border.
That means 4 large bulletin boards in total need
9×4 yards of border
= 36 yards of border
= 108 feet of border
Also, there is a small bulletin board that only needs 12 feet border
Hence, in total there is a need for
108 + 12 = 120 feet border.
The border is sold in 40-foot rolls.
Hence, there is a need for 120/40 rolls
i.e. 3 rolls
Hence, the teacher will use 3 rolls only.
Learn more about measurements here-
brainly.com/question/15658113
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Answer:
a) 19/15 b) 1/3
Step-by-step explanation:
in both the question I reduced the numbers with 5
