Answer:
20) 30°; 21) 21,1; 22) 6,2
Step-by-step explanation:
For the first image, you have to do <em>csc</em><em>⁻</em><em>¹</em><em> </em><em>2</em><em> </em>[OR <em>sin</em><em>⁻</em><em>¹</em><em> </em><em>½</em>] because you are solving for an angle measure. When evaluated, you get 30°.
For the second image, you have to do <em>13sec</em><em> </em><em>52</em><em>°</em><em> </em><em>=</em><em> </em><em>x</em><em> </em>[OR <em>13\</em><em>cos</em><em> </em><em>52</em><em>°</em><em> </em><em>= x</em>]. When evaluated, you get an approximate measure of 21,1.
For the third image, you have to do <em>6csc</em><em> </em><em>75</em><em>°</em><em> </em><em>=</em><em> </em><em>x</em><em> </em>[OR <em>6</em><em>\</em><em>sin</em><em> </em><em>75</em><em>°</em><em> </em><em>= x</em>]. When evaluated, you get an approximate measure of 6,2.
Extended information on Trigonometric Ratios
O\H = sin θ
A\H = cos θ
O\A = tan θ
H\A = sec θ
H\O = csc θ
A\O = cot θ
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The answer of the question is D
Answer:
3x+45=180
3x=180-45
3x=135
x=45
Step-by-step explanation:
Answer:
Step-by-step explanation:
-we know :
we must have the <u>same unit</u> on the distance traveled in order to be able to compare distances
1 mile = 1.6 kilometers
-Angelique traveled 75 miles ( 120 kilometers)
75 miles = 1.6 *75 = 120 kilometers
-Jamila traveled 115 kilometers is given in the problem
-Angelique has travelled further than Jamila because
120 kilometers > 115 kilometers
3x+2(x-1)=9x=4
We move all terms to the left:
3x+2(x-1)-(9x)=0
We add all the numbers together, and all the variables
-6x+2(x-1)=0
We multiply parentheses
-6x+2x-2=0
We add all the numbers together, and all the variables
-4x-2=0
We move all terms containing x to the left, all other terms to the right
-4x=2
x=2/-4
x=-1/2