Answer:
I think d
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
x^2 + 12 x = 40
To complete the square, take the coefficient of the x term
12
Divide by 2
12/2 = 6
Square it
6^2 = 36
Add 36 to each side
Answer:
I believe that it is 45 but I'm not 100% sure.
Step-by-step explanation:
Answer:
44,750
Step-by-step explanation:
4% 35,800=4/100=1/4 then a 1/4 of 35,800=8,950 then add35,800 and 8,950 =44,750 answer
Answer:
(a) 5.36°
(b) β = 84.64° -θ
(c) d = 58.36·sin(84.64° -θ)/sin(θ)
(d) see the attached table
Step-by-step explanation:
(a) The lean angle can be found from the definition of the sine function:
sin(α) = Opposite/Hypotenuse = (5.45 m)/(58.36 m) ≈ 5.36°
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(b) The angle β does not depend on d; it only depends on the angle θ. Since the sum of angles of a triangle is 180°, we have ...
θ + (90°+α) + β = 180°
β = 180° -90° -5.36° -θ
β = 84.64° - θ
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(c) The law of sines tells you ...
d/sin(β) = 58.36/sin(θ)
Using the above expression for β and multiplying by sin(β), we get ...
d = 58.36·sin(84.64° -θ)/sin(θ)
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This can be simplified, if desired, to ...
d = 58.10·cot(θ) -5.45