WE see that at time t=0 the ball's height is 6 feet so we know the origin of our coordinates is the ground (h=0 feet) So we need to solve this quadratic equation for the value of t that makes the equation 0. There will be 2 solutions, one will be right and the other is usually impossible (all quadratics have two roots)
Using the quadratic formula (google it if you're unfamiliar, Brainly's math editor doesn't show things like that too nicely) I get t = 1.5s. (the other root is -0.25)
Answer:
The correct option is;
f(x) = 3·sin x/8·π + 2
Step-by-step explanation:
The given parameters for the sinusoidal function are;
Amplitude of oscillation = 3
Frequency of oscillation = 1/8·π
Midline of oscillation= 2
The general form of sinusoidal equation is y = A·sin(B(x - C)) + D
Where;
A = The amplitude
B = The frequency
C = The horizontal shift
D = The midline or vertical shift
Substituting the given values into the general form of sinusoidal equation, we have;
f(x) = y = 3·sin(1/8·π(x - 0)) + 2 = 3·sin(x/8·π) + 2
Which gives;
f(x) = 3·sin(x/8·π) + 2.
Answer:
I believe its true
Step-by-step explanation:
A is located at (-3,-5) B is located at (1,-9)
-3 + 1 = -2/2 =-1
-5 + -9 = -14/2 = -7
midpoint is (-1,-7)
Answer:
Around 5.5 square meters
Step-by-step explanation:
You can start by finding the area of the segment. Since the rest of the circle that is not in the segment is 240 degrees, the segment is 120 degrees or a third of the circle. You can therefore find the area of that segment with the formula 
square meters. Now, you need to find the area of the triangle inside the sector. This is more difficult than last time, because it is not a 90 degree angle. However, you can solve this by dividing this triangle into two 30-60-90 triangles, which you know how to find the ratio of sides for. In a 30-60-90 triangle, the hypotenuse is twice the length of the smallest leg, and the larger leg is 
times larger than the smaller leg. In this case, these dimensions are a base of 
for the smaller leg and 
for the larger leg, or the base. Using the triangle area formula and multiplying by 2 (because remember, we divided the big triangle in half), you get 
square meters. Subtracting this from the area of the segment, you get about 5.5 square meters. Hope this helps!
