Answer:
Area of segment = 9.8 cm² (Approx.)
Step-by-step explanation:
Given:
Angle θ = 120°
Radius of circle = 4 cm
Find:
Area of segment
Computation:
Area of segment = [θ/360][π][r]² - [1/2][r²][sinθ]
Area of segment = [120/360][3.14][4]² - [1/2][4²][sin120]
Area of segment = [0.333][3.14][16] - [0.5][16][0.866]
Area of segment = 16.7299 - 6.28
Area of segment = 9.8019
Area of segment = 9.8 cm² (Approx.)
Your answer should be $45.50, you can also look up the answer on google if you need to
Answer:
6.5 seconds
Step-by-step explanation:
When s=0, we have ...
0 = -16t^2 +676
t^2 = 42.25 . . . . . add 16t^2, divide by 16
t = √42.25 = 6.5
6.5 seconds will pass before the object hits the ground.
First you need to find the slope of the line containing those 2 points using the slope formula. Filling in with our info we have

. So the slope is -1.5. Now we need to find out the rest of the info, mainly the y-intercept. The line appears to go through the y axis at (0, 0), but let's make sure. We will use the slope we just found and one of our points to solve for the y-intercept. I picked point (4, -6). Filling in to solve for b we get -6 = (-1.5)(4) + b. Doing the multiplication on the right gives us -6=-6 + b. Add 6 to both sides to get that b = 0. Now let's use that and the slope we found to rewrite the equation in slope-intercept form. y = -1.5x + 0 or y = -1.5x and there you go!