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Sladkaya [172]
2 years ago
7

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

Mathematics
1 answer:
Shtirlitz [24]2 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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3 years ago
Wha is the area of this
Korvikt [17]

Octagon, stop sign.

Eight isoscles triangles.   It looks like we're told the side is 9.9 and the height to the side (also called the apothem) is 12.

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Usually we wouldn't be told 9.9 -- this is the baby version.  We know each of those isoscles triangles has unique angle 360/8=45 degrees, so the apothem and half the side of the octagon are a right triangle with acute angle 22.5 degrees.

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6 0
3 years ago
Help me on this math question please
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6 0
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Read 2 more answers
Rewrite 7 − 8 using the additive inverse and display the new expression on a number line
Vilka [71]
When we do the additive inverse property...we want to end up with a 0...so the inverse of 7 is -7 and the inverse of -8 is +8....we now have our new expression

-7 + 8

-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----
     -7    -6    -5  -4    -3    -2    -1    0     1      2    3     4     5      6    7     8
6 0
3 years ago
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