Answer:
184cm^2
Step-by-step explanation:
(5+5+6) * 10 = 160
6*4 = 24
160+24=184
there are 2 triangles so I am assuming they have the same dimensions
Do you remember your unit circle? If sin ω = was -1/2, then it would be 7<span>π/6. If you're unfamiliar with the unit circle, we can derive it.
So, you know that sin is OPPOSITE/HYPOTENUSE, and it's in the third quadrant, where x and y would be negative. If sin </span>ω = -1/2, that means that ω = 1/sin*(-1/2), or sin^(-1)*(-1/2). Let's ignore the negative for now and plug sin^(-1)*(-1/2) into your calculator in radians. You get (1/6)π. But that's in Quadrant 1. We want it in Quadrant 3.
In one complete revolution, or 360°, there are 2π radians. That means, if you want to rotate it 180°, you need to add π to what you originally got.
π+(1/6)π=(7/6)π.
I highly recommend you memorize the unit circle if you haven't already, because you'll need it from Precalculus on.
Answer:
9.5
Step-by-step explanation:
The legs of the triangle are
3 and 9
From the Pythagorean Theorem
c² = a²+ b²
c² = 3² + 9²
c² = = 9 + 81
c² = 90
Take the square root of both sides
c = 9.4868329805
Rounded
9.5
Answer:
i think it is the 3rd one i'm not sure
Step-by-step explanation:
i' not 100% sure so be carfeul
Answer:
The correct answer is m=
and θ = 30º.
Step-by-step explanation:
First, we must form a triangle whose hypotenuse is the radius r=1, its adjacent leg is m, its opposite leg is
and the angle is theta.
First, we calculate the angle with theta's breast:
sin (θ) = 
where H is the hypotenuse, in this case, the radio.
θ =
(
)
θ = 30º
Now, we calculate the adjacent leg, which is equal to the x-coordinate of the point:
cos (θ) = 
m = cos 30º * H
m = 
m = 
Have a nice day!