Answer:
Step-by-step explanation:
A right angled triangle is given to us and we would like to find out the value of sin(A) .
From the triangle we can see that the measure of angle BAC is 30° . Therefore ,
On using sin both sides ,
As we know that the value of sin30° = 1/2. So;
Simplify by converting it into decimal ,
<u>Hence</u><u> </u><u>option</u><u> </u><u>B</u><u> </u><u>is</u><u> </u><u>correct</u><u> </u><u>.</u>
And we are done!
Answer:p = 28.36
q = 31.78
Step-by-step explanation:
Considering the smaller right angle triangle, with 50° as the reference angle, the opposite side is q and the adjacent side is 55 - p
Applying the tangent trigonometric ratio which is expressed as
Tan θ = opposite side/adjacent side
Tan 50 = q/(55 - p)
1.1918(55 - p) = q - - - - - - - - - 1
Considering the bigger right angle triangle, with 30° as the reference angle, the opposite side is q and the adjacent side is 55
Applying the tangent trigonometric ratio which is expressed as
Tan θ = opposite side/adjacent side
Tan 30 = q/55
0.5774 = q/55
q = 55 × 0.5774
q = 31.757
Substituting q = 31.757 into equation 1, it becomes
1.1918(55 - p) = 31.757
65.549 - 1.1918p = 31.757
1.1918p = 65.549 - 31.757
1.1918p = 33.792
p = 33.792/1.1918
p = 28.36
Answer:
c)
Step-by-step explanation:
x^2+4x-32 = (x-4)(x+8)
hence,
(x-4)(x+8) = 0
x = 4 or x = -8
the graph intersects at 4 not -4
