The volume of a cone is 1/3 x pi x radius^2 x height, so after substituting the values, we have the equation 1/3 x 3.14 x 3^2 x 10, and we have 3^2 because the radius is half the diameter. First, 3^2 = 9, and 1/3 x 3.14 is approximately 1.046. 1.046 x 9 = 9.414, and lastly, 9.414 x 10 = 94.14. So the approximate volume of the funnel is 94.14.
Answer:
About 53.13 degrees.
Step-by-step explanation:
If we draw the path of the hiker, or rather, all three vectors with vector B having its starting point at the end point of vector A, a right triangle is formed. We will most likely be using trigonometric functions to solve this.
vector A is parallel to the x axis (West - East), and vector B is perpendicular, so we'll be using the inverse tangent function to get the angle based on the ratio of the lengths of vector B to vector A, which is 
atan
degrees.
If one would be pedantic, they'd say that the direction we have to go to get from vector C to vector A is clockwise, which is anti-mathematical, the true answer would be -53.13 degrees. Alternatively, whatever 360-53.13 is.
Answer:
17000
Step-by-step explanation:
I hope this helps:)
Answer:
x=10
Step-by-step explanation:
Rearrange to get p on one side
2.5=0.4p-0.15p
2.5=0.25p
Divide both sides by 0.25
2.5/0.25=x
x=10