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ira [324]
3 years ago
6

Find the angle between the given vectors to the nearest tenth of a degree.

Mathematics
1 answer:
Bond [772]3 years ago
6 0

Answer:

Step-by-step explanation:

If θ is the angle between two vectors u and v, then cosθ = (u·v) / [llull llvll]

 

     u·v = (8)(9) + (7)(7) = 121

 

     llull = √[(8)2 + (9)2] = √145      llvll = √[(7)2+(7)2] = 7√2

 

So, cosθ = 121/ [7√290]

 

            = 1.015052094

         θ = Cos-1(1.015052094) ≈ 3.3

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Two students from a group of 8 boys and 12 girls are sent to represent the group in a school parade. If two students are chosen
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33/95 or 34.74 %

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D(t)=256⋅(14)t9.7 Complete the following sentence about the decay rate of the temperature difference. The temperature difference
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Using exponential function concepts, it is found that the correct sentence is given by:

The temperature difference is reduced by a factor of \frac{3}{4} every 9.7 seconds.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

A(t) = A(0)(1 - r)^\frac{t}{n}

In which:

  • A(0) is the initial value.
  • r is the decay rate every n instants of time, as a decimal.

In this problem, the function is given by:

D(t) = 256\left(\frac{1}{4}\right)^{\frac{t}{9.7}}

The decay rate is given by:

1 - r = \frac{1}{4} \rightarrow r = \frac{3}{4}

Hence, the sentence is:

The temperature difference is reduced by a factor of \frac{3}{4} every 9.7 seconds.

More can be learned about exponential function concepts at brainly.com/question/25537936

#SPJ1

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3 years ago
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