Answer:
Option B
Step-by-step explanation:
A unit circle means radius of the circle = 1 unit
Let a terminal point on the circle is (x, y) and angle between the point P and x-axis is θ.
Center of the circle is origin (0, 0).
Therefore, ordered pair representing the terminal point will be (OP×Cosθ, OP×Sinθ) =
OP.Cosθ = 1×Cosθ =
Cosθ =
θ = , where n = integers
Similarly, OP×Sinθ = 1×Sinθ = -
Sinθ = -
θ = , where n = integer
Common value of θ will be, θ =
Option B will be the answer.
Answer:
10 miles per hour.
Step-by-step explanation:
Let x represent athlete's walking speed.
We have been given that her jogging rate is 5 mph faster than her walking rate, so athlete's jogging speed would be miles per hour.
10 minutes = 1/6 hour.
20 minutes = 1/3 hour
While walking, we will get
While jogging, we will get
Since athlete is covering same distance while walking and jogging, so we can equate both expressions as:
Cross multiply:
Therefore, athlete's walking speed is 5 miles per hour.
Jogging speed:
Therefore, athlete's jogging speed is 10 miles per hour.
Answer:
C
Step-by-step explanation:
Don't worry about the volume to start with. Just look at the area of the top or bottom.
The hole has a 4 inch diameter
d = 4
r = d/2
r = 2
Area = pi r^2
Area = pi * 2^2
Area = 4 pi
Now find the area of the top (or bottom) if the circle was not there.
L = 8
W = 6
Area = L * W
Area = 8 * 6
Area = 48
Now take away the area of the circle.
Area Top = 48 - 4 * pi
Area Top = 48 - 12.56
Area Top = 35.44
Finally, Find the volume
Volume = area of the top * height
Volume = 35.44 * 15
Volume = 531.6
2.74 liters since 1000mL is a liter.