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Mumz [18]
3 years ago
6

What is the measure of angle RSL if it is (9x+27)° and angle BSA is (6x+66)°

Mathematics
2 answers:
Shalnov [3]3 years ago
8 0

Answer:

Assume:

(angle) RSB and angle (LSA) = D

and (line) ASR and (line) LSB is striaght then

(9x +27) + D = 180

(6x + 66) + D = 180

9x + D = 153

6x + D = 114

substitute

6x + D = 114

D = 114 - 6 x

9x + (114 - 6x) =153

3x = 39

x = 13

D = 114 - 6(13)

D=36


Step-by-step explanation:


pav-90 [236]3 years ago
7 0

Answer:144

Step-by-step explanation:

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Write the trigonometric expression sin(sin−1u−tan−1v) as an algebraic expression in u and v. Assume that the variables u and v r
igomit [66]

Answer:

[u – v√(1 – u²)]/√(1 + v²)

Step-by-step explanation:

Let sin^-1(u) = A, therefore sinA = u.

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Therefore, sinA = u/1 and u is the opposite side to angle A while 1 is the hypotenuse. Draw an acute triangle placing u opposite to angle A and 1 as the hypotenuse. By Pythagoras theorem the adjacent would be √(1 – u²).

By doing this, it means cosA = adjacent/hypotenuse = √(1 – u²)/1 = √(1 – u²)

Also, let tan^-1(v) = B, therefore tanB = v.

We know that tan(theta) = opposite/adjacent

Therefore, tanB = v/1 and v is the opposite side to angle B while 1 is the adjacent. Draw an acute triangle placing v opposite to angle B and 1 as the adjacent. By Pythagoras theorem the hypothenuse would be √(1 + v²).

Therefore, sinB = opposite/hypotenuse = v/√(1 + v²) and cosB = adjacent/hypotenuse = 1/√(1 + v²)

Now,

sin[sin^–1(u) – tan^–1(v)] =

sin(A – B) =

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u[1/√(1 + v²)] – [v/√(1 + v²)][√(1 – u²)] =

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[u – v√(1 – u²)]/√(1 + v²).

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Step-by-step explanation:

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2 years ago
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cos B=adjacent side angle B/hypotenuse
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cos B=10/26------> 5/13

the answers are
cos A=12/13
cos B=5/13

cot A=adjacent side angle A/opposite side angle A
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m<−4/3



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3 years ago
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