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Sladkaya [172]
3 years ago
7

If tan x =8/15 and 0°<x<90°,find the value of cos x​

Mathematics
1 answer:
Shtirlitz [24]3 years ago
6 0

9514 1404 393

Answer:

  15/17

Step-by-step explanation:

cos(arctan(8/15)) = 15/17

__

You could assume the ratio values 8 and 15 represent the opposite and adjacent sides of a right triangle. Then the hypotenuse is ...

  h = √(8² +15²) = √289 = 17

The cosine is the ratio of the adjacent side to the hypotenuse, so is ...

  cos(x) = 15/17

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We simply substitute the values into this formula

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I need help on this question!
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What is the simplified form of 30 times x to the sixth power over 14 times y to the fifth power times the fraction 7 times y-squ
Sonbull [250]
If we convert the given in its mathematical form, we have,

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Cancellation of the common terms will give us an answer of,
  
                               <em>5x²/2y³

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<em />Therefore, the simplified version of the involved operation is 5x²/2y³. <em>
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6 0
3 years ago
The initial population of a town in the year 2010 was 20 000. By 2014, the population had grown exponentially to 32 500 people.
stiv31 [10]

Answer:

  P = 20000×1.625^(n/4)

Step-by-step explanation:

An exponential equation can be written using the given data:

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Here, the growth is by a factor of 32500/20000 = 1.625, and the period is 4 years. Then your exponential equation is ...

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3 0
3 years ago
The perimeter of the isoceles triangle is 54. The ratio of the leg to the base is 7:4. Find the length of the base
Norma-Jean [14]

9514 1404 393

Answer:

  12 units

Step-by-step explanation:

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The base length is then ...

  (4 ratio units)(3 length units/ratio unit) = 12 length units

4 0
2 years ago
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