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Vadim26 [7]
3 years ago
12

I need help and work shown please​

Mathematics
1 answer:
salantis [7]3 years ago
4 0

9514 1404 393

Answer:

  x ≈ 32.4

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation between angle, adjacent side, and hypotenuse:

  Cos = Adjacent/Hypotenuse

  cos(72°) = 10/x

  x = 10/cos(72°)

  x ≈ 32.4

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3 years ago
What is 14.2857143 rounded to the nearest tenth
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Skylar drew two triangles that share a side and labeled the two portions of the base w and x. Then he solved for w and x as show
inna [77]

The two triangles he drew and also the calculations he did are missing, so i have attached them.

Answer:

His calculations are not correct

Step-by-step explanation:

From the attached image showing the triangle, we can see that for the smaller triangle with w, 5.5 and 45° angle, it is clear that;

Opposite side is 5.5

Adjacent side is w

And angle is 45°.

Hypotenuse is unknown

Thus, from trigonometric ratios;

Opposite/adjacent = tan (angle)

Thus;

5.5/w = tan 45°

In Skylar's calculation, he expressed it as; 5.5/w = sin 45°

Therefore, his calculation is wrong.

Secondly, for the bigger triangle, it is clear that;

Opposite side is 5.5

Adjacent side is w + x

And angle is 35°.

Hypotenuse is unknown

Thus;

5.5/(w + x) = tan 35°

Whereas,skylar expressed his own as;

5.5/(w + x) = sin 35°

Again his calculation is wrong.

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