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den301095 [7]
3 years ago
8

You and a friend both leave the same restaurant to drive home. You are heading directly west at 30 miles per hour and he or she

is heading directly south at 40 miles per hour. After half an hour, how fast (in mph) is the distance between you changing? Do not include units in your answer.
Mathematics
1 answer:
neonofarm [45]3 years ago
4 0

Answer:

  50

Step-by-step explanation:

The distance between the friends is changing at the constant rate of 50 mph.

___

The equation for the distance in the westerly direction is ...

  w = 30t . . . . . miles, where t is time in hours

The equation for the distance in the southerly direction is ...

  s = 40t . . . . . miles, where t is time in hours

Then the total distance between the friends is ...

  d = √((30t)² + (40t)²) = √(2500t²) = 50t  . . . . miles, where t is time in hours

And the rate of change of distance is the derivative of this with respect to t:

  dd/dt = 50 . . . . . . miles per hour

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How many solutions does a triangle with side lengths a = 4, A = 112º and b =<br>9 have?​
Ainat [17]

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This case has NO solutions.

Step-by-step explanation:

Notice that you are in a case of an obtuse triangle (one of its angles is larger than 90 degrees), the side opposite to the obtuse triangle is shorter than the side adjacent to the angle, so no actual triangle can be formed.

This can be found by simply trying to apply the Law of Sines to solve for the value of angle "B" opposite to side "b":

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3 years ago
64.8=6(m+2.9) <br> what is m<br> please help me and explain how did you get your answer
BabaBlast [244]

Answer:

= −11.2

Step-by-step explanation:

64.8=6(m+22)

We move all terms to the left:

64.8-(6(m+22))=0

We calculate terms in parentheses: -(6(m+22)), so:

6(m+22)

We multiply parentheses

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Back to the equation:

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We get rid of parentheses

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We add all the numbers together, and all the variables

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We move all terms containing m to the left, all other terms to the right

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4 0
3 years ago
Read 2 more answers
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