Some one help i will be posting other ones to
1 answer:
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Answer:
28 meters
Step-by-step explanation:
<u><em>The question in English is</em></u>
On a 32-meter roll of fabric, it cuts an eighth of the total. How many meters of fabric are left in a roll?
step 1
we know that
To find out how many meters of fabric were cut, multiply the total meters by the fraction that was cut
step 2
To find out how many meters of fabric are left, subtract the meters of fabric that were cut from the total meters of fabric
so
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
