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iris [78.8K]
3 years ago
10

1. In a certain company, 30 percent of the men and 20 percent of the women attend night school. If 40

Mathematics
1 answer:
vodka [1.7K]3 years ago
8 0

Answer: 24% of all employees attend night school.

Step-by-step explanation: If 40% of all employees are men and 30% of the men attend night school, we can multiply 0.40 by 0.30 to get the percentage of men who attend night school: 12% or 0.12. To find the number of women who attend night school, multiply 0.20 by 0.60(assuming percentage of men and women add up to 100%) to get 12%. Add 12% and 12% to get 24% of all employees attend night school.


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Answer:

dy/dt = 1.02 m/s

Step-by-step explanation:

First of all, let the distance of the dock above the bow of the boat be represented by x.

Also, let the distance of the boat from the dock be represented by y.

Let z represent the length of the rope.

Now, we can use pythagoras theorem to find a relationship between x, y and z since they form a right angle triangle where the vertical part is the dock, the base represents the water and the hypotenuse represents the rope.

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x² + y² = z²

Using implicit differentiation, we have;

2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)

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dy/dt is is the speed we are looking for which is the rate at which the boat is approaching the dock.

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Thus;

z = √(1² + 5²)

z = √26

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we are given

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now, we can plug values

and we get

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so,

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