This is an obtuse triangle because one angle of it is greater than 90 degrees :)
Since the perimeter must not exceed 291.
Let the third side be x.
x + 87 + 64 < 291
x + 151 < 291.
x < 291 -151.
x < 140. (First)
But for a triangle there is what is called the Triangle Inequality Theorem. That given the two sides of a tringle, the third side of the triangle must greater than the positive difference between the two sides and less than the sum of the two sides.
So for this case. 87 and 64.
x > ( 87 - 64). x > 23.
x < (87 + 64) x < 151. Combine both inequalities.
23 < x < 151 (second).
Combining First and second. Both must be satisfied.
So we have a more accurate answer as:
23 < x < 140. x is greater than 23 and x is less than 140.
x could be 24, 25, 26, 27, ......, 139. cm.
I hope this helps.
Answer:
1674
Step-by-step explanation:
Answer:
Step-by-step explanation:
11) Profit = Selling price - purchase price - other expenses
12) Profit = Selling price - purchase price - other expenses
(after rounding off)
13) Annual interest on bond
=INterest rate on face value of bond for 1 year
14)Cost of bond
= quoted value (rate)
=3500(80.5)
=2817.50
15) Cost of bond
= quoted value (rate)
=4250(83.5)
=3548.75
<span>2x + 5 =8x
6x = 5
x = 5/6
12x = 12(5/6) = 10</span>