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Lena [83]
3 years ago
12

The diameter d in inches of a rope required to lift a weight of w tons is given by the function d = 10w/ π . How much weight can

a rope that measures a radius of 2 inches lift (truncate the decimal to the hundredths)? A) 0.62 tons B) 0.63 tons C) 1.25 tons D) 1.26 tons
Mathematics
2 answers:
Ilia_Sergeevich [38]3 years ago
7 0

Answer:

Option D) 1.26 tons

Step-by-step explanation:

we have

d=\frac{10w}{\pi}

where

d is the diameter of a rope in inches

w is the weight in tons

we have

d=2(2)=4\ in ----> the diameter is two times the radius

substitute the value of d and solve for w

4=\frac{10w}{\pi}

w=\frac{4\pi}{10}=0.4\pi\ tons

assume

\pi =3.14

0.4(3.14)=1.26\ tons

lilavasa [31]3 years ago
3 0

Answer: c) 1.25 tons

Step-by-step explanation:

I just did it on USAtestprep

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Answer:

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Step-by-step explanation:

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nydimaria [60]

Answer:

The x-coordinate of the point changing at ¼cm/s

Step-by-step explanation:

Given

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To calculate how fast is the x-coordinate of the point changing at that instant?

First, we calculate dy/dx

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dy/dx = 3x²/(2√(3 + x³))

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dy/dx = 3(1)²/(2√(3 + 1³))

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7 0
3 years ago
How much sugar syrup would you get by Making 5% sugar syrup using 6g sugar?
kherson [118]

Answer: 120 grams.

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Let x be the amount of sugar syrup made by 5% sugar syrup using 6g sugar.

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According to the question, we have

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Hence, 120 grams sugar syrup is made by 5% sugar syrup of 6g sugar.

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See the attached picture for details.

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