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balu736 [363]
3 years ago
8

Calculs from the north you walk 1 mile and a temperature was 5 degrees from the west you walk 1 mile and the temperature change

is 4 degrees what is the temperature 1 mile to the south east.
Mathematics
1 answer:
MakcuM [25]3 years ago
4 0

Answer: 6.4 degrees

Step-by-step explanation:

a= 5 degrees temperature difference to the north gives the opposite of the triangle,

b = 4 degrees temperature difference to the west gives the adjacent,

c = temperature difference of 1 mile to the south east gives the hypotenuse.

Therefore,

Using Pythagoras equation,

c² = b² + a²

c = sqrt( 5² + 4²)

c = sqrt(41) = 6.4 degrees

Therefore, there will be 6.4 degrees temperature difference 1 mile to the south east

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What is the sound level for a noise that has an intensity of 9.9 × 10-5 watts/m2?
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Given: Sound Intensity ( I ) = 9.9 \times  10^{-5}\frac{watts}{m^2}

We know,  the approximate threshold of human hearing is at 1kHz. In watts/m^2 it's value is =\frac{9.9 \times  10^{-5}}{10^{-12}}⁻¹² W/m².

So, we can say,  Reference sound intensity(I_0) = 10⁻¹² W/m².

We have formula for "sound intensity level LI in dB" when entering sound intensity.

LI = 10×log (I / Io)  in dB

Plugging values of I and Io in formula.

LI = 10 × log (\frac{9.9 \times  10^{-5}}{10^{-12}})

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3 years ago
Express the terms of the following sequence by giving a recursive formula.
MAXImum [283]

The recursive formula for given sequence is: a_n = a_{n-1}-7

And the terms will be expressed as:

a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\

Step-by-step explanation:

First of all, we have to determine if the given sequence  is arithmetic sequence or geometric. For that purpose, we calculate the common difference and common ratio

Given sequence is:

11,4,-3,-10,-17...

Here

a_1 = 11\\a_2 = 4\\a_3 = -3\\So,\\d = a_2 - a_1 = 4-11 = -7\\d = a_3-a_2 = -3-4 = -7

As the common difference is same, given sequence is an arithmetic sequence.

A recursive formula is a formula that is used to generate the next term of the sequence using the previous term and common difference

So, the recursive formula for an arithmetic sequence is given by:

a_n = a_{n-1} +d\\Putting\ d = -7\\a_n = a_{n-1}-7

Hence,

The recursive formula for given sequence is: a_n = a_{n-1}-7

And the terms will be expressed as:

a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\

Keywords: arithmetic sequence, common difference

Learn more about arithmetic sequence at:

  • brainly.com/question/10341324
  • brainly.com/question/10081622

#LearnwithBrainly

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