39 students....39/4 = 9 remainder 3
39/5 = 7 remainder 4
ur answer is 39
Step-by-step explanation:
x = 144 ( corresponding angle)
y = 180- 144 ( linear pair)
y= 36°
You can get the answer by dividing the number 57 by the decimal of the percent thirty-eight (.38), you see you multiply a decimal by a number or a number by a decimal to get a smaller number, whereas dividing like you do here gets and bigger number. ( In this case the answer to your question) So in conclusion 57 divided by .38 = 150, your 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