Answer:
The area of the triangle is of 8 units of area.
Step-by-step explanation:
Answer:
The area of the triangle is of 21 units of area.
Step-by-step explanation:
The area of a triangle with three vertices 
is given by the determinant of the following matrix:
In this question:
Vertices (1,0) (5,0) (3,4). So
The area of the triangle is of 8 units of area.
Answer:
The water level is dropping at a rate of 0.24 ft/s
Step-by-step explanation:
Here, we simply want to calculate the change in depth (height of the cone) , given the volume change
Mathematically, we have the volume of a cone as;
V = 1/3 * π * r^2 * h
we are given dv/dt as 12 ft^3/m
dv/dh = 1/3 * π * r^2
Substituting the value for the radius, we have
dv/dh = 1/3 * 22/7 * 4^2 = 50.29
dh/dt = dh/dv * dv/dt
dh/dv = 1/(dv/dh) = 1/50.29
Thus,
dh/dt = 1/50.29 * 12
dh/dt = 0.24 ft/s
Answer:
33.47
Step-by-step explanation:
i rounded it the real answer is 33.46666667∞
Step-by-step explanation:
plug y value :
10=1/2x+8
1/2x=2
x=4
Answer:
1 and 2
Step-by-step explanation:
1^2 + 2^2 =
1 + 4 = 5
