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nekit [7.7K]
3 years ago
6

Find the missing lengths of the sides.

Mathematics
1 answer:
Irina18 [472]3 years ago
3 0

Answer:

The choice third ; a=9 , c= 18

Step-by-step explanation:

\sin(60)  =  \frac{9 \sqrt{3} }{c} \\  \\ c = 18

\tan(30)  =  \frac{a}{9 \sqrt{3} }  \\  \\ a = 9

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I need help! I don't know how to get the answer or what it is. Can anyone help me it's for a test and I'm on my last attempt?
Greeley [361]

Answer:

See explanation

Step-by-step explanation:

(4)

Using the sine ratio in  the right triangle

sinΘ = \frac{opposite}{hypotenuse} = \frac{7}{9}, thus

Θ = sin^{-1}(\frac{7}{9}) ≈ 51.1°

(5)

Using the tangent ratio in the right triangle

tanΘ = \frac{opposite}{adjacent} = \frac{4}{5}, thus

Θ = tan^{-1}(\frac{4}{5}) ≈ 38.7°

7 0
3 years ago
Find the exact value of the trigonometric expression given that sin u = − 8 17 and cos v = − 24 25 . (Both u and v are in Quadra
Rashid [163]

Answer: sin u = -5/13 and cos v = -15/17

Step-by-step explanation:

The nice thing about trig, a little information goes a long way. That’s because there is a lot of geometry and structure in the subject. If I have sin u = opp/hyp, then I know opp is the opposite side from u, and the hypotenuse is hyp, and the adjacent side must fit the Pythagorean equation opp^2 + adj^2 = hyp^2.

So for u: (-5)^2 + adj^2 = 13^2, so with what you gave us (Quad 3),

==> adj of u = -12 therefore cos u = -12/13

Same argument for v: adj = -15,

opp^2 + (-15)^2 = 17^2 ==> opp = -8 therefore sin v = -8/17

The cosine rule for cos (u + v) = (cos u)(cos v) - (sin u)(sin v) and now we substitute: cos (u + v) = (-12/13)(-15/17) - (-5/13)(-8/17)

I am too lazy to do the remaining arithmetic, but I think we have created a way to approach all of the similar problems.

3 0
3 years ago
What is 1 + 2 I really need this answer my grades depend on it!!!
babunello [35]

Answer:

3 is the answer 1 + 2 is the same as 1 + 1 + 1=3

hope this helps

have a good day :)

Step-by-step explanation:

5 0
3 years ago
What is log25 with an exponent of 1/5?
Tomtit [17]

Log (25¹/⁵)  =  (1/5) log(25)  =  (1/5) (1.3979)  =  0.2796
6 0
3 years ago
What is 101,949 rounded to the nearest hundred thousand?
kobusy [5.1K]
Well the answer is 103,000 because when you round it the 1 becomes a 2
5 0
3 years ago
Read 2 more answers
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