Answer:
see below
Step-by-step explanation:
12 ÷ (2/5)
Copy dot lip
12 * 5/2 = 60/2 = 30
12 * 5 * 1/2 = 60 * 1/2 = 30
Emily and Sam are correct
Sarah:
12*2 =24/5 = 4.8 which is not 30
Answer:
$4
Step-by-step explanation:
16(1/4) = 4
Since the vertex form of a parabola is y=a(x-h)^2+k with h and k being the vertex (the x and y values, respectively), we get a(x-0)^2+20=ax^2+20. Plugging (10, 8) in to find a, we get 8=a(10)^2+20=a*100+20. Subtracting 20 from both sides, we get -12=100*a. Next, we divide 100 from both sides to get a=-12/100. Since h=0 and k=20, we have your answer!
After 5 s, the particle traverses a path subtended by an angle of
(3π/4 rad/s) (5 s) = 15π/4 rad
Now, 15π/4 rad = 15/8 * 2π rad, so the arc has a length equal to 15/8 of the circumference of the path:
15/8 * 2π * (3 cm) = 45π/4 cm ≈ 35.3 cm