Answer:
scalene triangle-a triangle with no congruent sides.
isosceles triangle-a triangle with at least 2 congruent sides (i.e. 2 or 3 congruent sides)
equilateral triangle-a triangle with exactly 3 congruent sides.
Step-by-step explanation:
1st find total profit by subtracting the cost from the total revenue:
135,000 - 75,000 = $60,000 profit
Now divide the profit by the total revenue:
60,000 / 135,000 = 0.444 = 44.4% = 44% profit
Answer:
63 inches
Step-by-step explanation:
1 foot is 12 inches. 12×5 then add 3= 63
Answer: 103.69/103.70
Step-by-step explanation: 7.5% of 81.75= 6.13. 81.75 + 6.13 = 87.88.
18% of 87.88 is 15.81 so, 87.88 + 15.81= 103.69 or if rounded up = 103.70
Question 1:
(a) Using sine rule
ground/Sin 49 = plank/Sin 90
But sine 90 = 1, ground = 3 ft
Then,
3/Sin 49 = plank
Length of the plank = 3/Sin 49 ≈ 4.0 ft (rounded to nearest tenth)
(b) Height where the plank touches the wall
wall = Sqrt (plank^2 - ground^2) = Sqrt (4.0^2 - 3.0^2) ≈ 2.6 ft (Rounded to nearest tenth)
Question 2:
(a) Angle x
ground = 24 ft
support wire = 30 ft
Applying sine rule
support wire/Sin 90 = ground/Sin (90-x) ----- but Sin 90 = 1
Then,
Support wire = ground/Sin (90-x)
Sin (90-x) = ground/support wire = 24/30 = 0.8
90-x = Sin^-1(0.8) = 53.13 => x = 90-53.13 = 36.9°
(b) Height where the wire touches the tree (tree)
tree = Sqrt (support wire^2 - ground^2) = Sqrt (30^2 - 24^2) = 18 ft
