Answer:
X = 0, π/2 in the interval [0, 2pi).
Step-by-step explanation:
Use the auxiliary angle method:
R sin(x + a) = Rsin x cos a + Rcos x sin a = 1
sin x + cos x = 1
Comparing coefficients:
R cos a = 1 and R sin a = 1, so
tan a = R sin a / R cos a = 1
So a = π/4 radians.
Also R^2(sin^2 a + cos^2 a) = 1^2 + 1^2 = 2
Therefore R = √2.
So √2 sin (x +π/4 = 1
sin x + π/4 = 1/√2
x + π/4 = π/4
x = 0 radians
Also
x = 0 + π/2 = π/2.
According to the triangle inequality theorem a+b > c
so a+b is greater.
Hope it helps!
Answer:
5/100
Step-by-step explanation:
5 over 100 is 5%, while the other options are 50%
Answer:
If you simplify 2/6, you get 1/3 by dividing the numerator and denominator by 2.
Therefore, 1/3 and 2/6 would be the same point on the number line.
A regular hexagon is composed of 6 regular triangles whose area is equal to half of the product of the apothem and side.
A - triangle = (1/2)(a)(s) = (1/2)(1.7 cm)(2 cm) = 1.7 cm²
Multiplying this area by 6 to get the area of the hexagon gives as the answer which is 10.2 cm². Therefore, the answer is letter D.
