Drag the label for the length of the sides of the triangle shown that would satisfy the following conditions: cos(B) = 9/41

Mathematics

1 answer:

olga_2 [115]3 years ago

4 0

Answers:

AB = 9 (vertical leg)
AC = 40 (horizontal leg)
BC = 41 (hypotenuse

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Explanation:

We're told that

cos(B) = 9/41

Since the cosine ratio involves adjacent/hypotenuse, we can see that the adjacent side is 9 and the hypotenuse is 41. For angle B, the adjacent side is the leg closest to the angle in question. So that would be side AB.

Therefore, AB = 9 and BC = 41 are the adjacent and hypotenuse for reference angle B.

Apply the pythagorean theorem to solve 9^2+x^2 = 41^2, and you should get x = 40. This is the other leg of the triangle. Or you could note how tan(C) = 9/40 to imply that AC = 40 is the adjacent side for reference angle C.

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In a triangle the measurements of the angles are x°, ( x + 6)°, (2x + 10)°, and the sum of the three angles of a triangle is 180

34kurt

Answer:

largest angle = 92°

Step-by-step explanation:

Since the measurement of the angles are;

x°, ( x + 6)°, (2x + 10)°

And we know that sum of angles in a triangle is 180. Thus;

x + (x + 6) + (2x + 10) = 180

x + x + 6 + 2x + 10 = 180

4x + 16 = 180

4x = 180 - 16

4x = 164

x = 164/4

x = 41°

The other two angles will be;

(41 + 6)° and (2(41) + 10)°

Which gives;

47° and 92°

So,largest angle = 92°

7 0

3 years ago

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BabaBlast [244]

no it actually the opinions you have

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3 years ago

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Ratling [72]

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These probabilities are computed as 1 over all the possible outcomes.

(a) If you want a heart card and a five, you want the 5 of hearts. So, only one card would satisfy your request, and thus you have probability 1/52 of dealing the 5 of hearts.

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