Triangle is equilateral with sides of 6.
Therefore all angles = 60°
Ht of 30-60-90 is 3sr3 = 5.196
Area of 30-60-90 = 1/2×b×h = 3×5.196
Area = 15.59
Pie slice from each corner = 60/360×pi×r^2, with r = 3
1/6×pi×9 = 4.71 × 3 pie slices = 14.13
So, shaded inner region = area triangle - 3 pie corners = 15.59-14.13
= 1.46
Answer:
The motion of the particle describes an ellipse.
Step-by-step explanation:
The characteristics of the motion of the particle is derived by eliminating 
in the parametric expressions. Since both expressions are based on trigonometric functions, we proceed to use the following trigonometric identity:
(1)
Where:
(2)
(3)
By (2) and (3) in (1):
(4)
The motion of the particle describes an ellipse.
Answer:
The correct answer is A) 2
Step-by-step explanation:
In order to find this, input 1 into the equation for each value of x that you see.
f(x) = x^2 + 3x - 2
f(1) = 1^2 + 3(1) - 2
f(1) = 1 + 3 - 2
f(1) = 2
The vertex is (-1, 2).
The equation of parabola:
where (h, k) is the vertex
We have h = -1 and k = 2.
Substitute:
