The correct answer that would complete the given statement above would be 59. The measurement of 0.059 seconds is equal to 59 milliseconds. To convert this, you need to know that in every 1 second, there are 1000 milliseconds. And for 1 millisecond, there is 0.001 second.
Step-by-step explanation:
General form of a sine or cosine wave is:
y = ±A sin((2π/T) t) + B
y = ±A cos((2π/T) t) + B
where A is the amplitude, T is the period, and B is the vertical offset or midline.
The Ferris wheel is 80 meters in diameter or 40 meters in radius.
A = 40
The Ferris wheel turns once every 8 minutes.
T = 8
The lowest point is 5 meters above the ground, so the center of the Ferris wheel is 45 meters above the ground.
B = 45
At t=0, you're at the lowest point, so use -cos.
Therefore, the equation is:
y = -40 cos(2π/8 t) + 45
y = -40 cos(π/4 t) + 45
When t = 5:
y = -40 cos(5π/4) + 45
y = 20√2 + 45
y ≈ 73.3 meters
When y = 35:
35 = -40 cos(π/4 t) + 45
-10 = -40 cos(π/4 t)
1/4 = cos(π/4 t)
π/4 t ≈ 1.318
t ≈ 1.68 minutes
Answer:
y=7
Step-by-step explanation:
-6y= -27-15
-6y= -42
y=7
Answer: C
Step-by-step explanation:
Length: 6in
Width: 8in
Height: 9in
![A=2(wl+hl+hw)\\A=2[(8in)(6in)+(9in)(6in)+(9in)(8in)]\\A=2(48in^2+54in^2+72in^2)\\A=2(174in^2)\\A=348in^2](https://tex.z-dn.net/?f=A%3D2%28wl%2Bhl%2Bhw%29%5C%5CA%3D2%5B%288in%29%286in%29%2B%289in%29%286in%29%2B%289in%29%288in%29%5D%5C%5CA%3D2%2848in%5E2%2B54in%5E2%2B72in%5E2%29%5C%5CA%3D2%28174in%5E2%29%5C%5CA%3D348in%5E2)
Answer:
20.
Step-by-step explanation:
6 divided by 3/10 equals 20.