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kherson [118]
4 years ago
9

It takes an experienced groundskeeper 390 minutes to

Mathematics
1 answer:
sveta [45]4 years ago
6 0

Answer: 223.77 minutes

Step-by-step explanation:

For this exercise you need to use the following formula:

\frac{t}{t_A}+\frac{t}{t_B}=1

Where t_A is the individual time for object A, t_B is the individual time for object B and t is the time for A and B working together.

In this case, analizing the information given in the exercise, you can identify that:

t_A=390\\\\t_B=525

Knowing these values you can substitute them into the formula and then you must solve for "t" in order to calculate how long will it take working together.

You get that this is:

\frac{t}{390}+\frac{t}{525}=1\\\\\frac{61}{13650} t=1\\\\61t=(1)(13650)\\\\t=\frac{13650}{61}\\\\t=223.77\ minutes

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If f = 350i - 250j - 450k6 n and cable ab is 9 m long, determine the x, y, z coordinates of point a
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<span> we know the length of the cable is 9m.
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The unit vector, denoted u, is each of </span><span>r<span><span>​<span>AB</span></span><span>​​</span></span></span><span> divided by the magnitude.

</span>u=<span>(<span>​​<span>​x/9</span><span>​​</span></span>i−<span>​y/9<span>​​</span></span>j−<span>​z/9<span>​​</span></span>k<span>)

</span></span><span>We can also figure out the unit vector of F. 
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u=0.562i−0.401j−0.723<span>k
</span>
<span>Force F is directed from point A to B, then both unit vectors must be equal.

Therefore
</span>(​​​x/9​​i−​y/9​​j−​z/9​​k)=0.562i−0.401j−0.723k
<span>We can now solve for each term
x/9=0.562----- > x=5.058 m
-y/9=-0.401--------- > y=3.609 m
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The answer is
the coordinates of point a
(5.058,3.609,6.507)
</span>
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