Answer:
<h3> 552.640in³/s</h3>
Step-by-step explanation:
Volume of a cylinder is expressed as;


dV/dr = 2πrh
dV/dr = 2π(4)(6)
dV/dr = 48(3.14)
dV/dr = 150.72in³/m
dV/dh = πr²
dV/dh = 3.14(4)²
dV/dh = 50.24
Given
dh/dt = 5in/s
dr/dt = 2in/s
Substitute into the dV/dt
dV/dt = 150.72(2)+50.24(5)
dV/dt = 301.44 + 251.2
dV/dt= 552.640in³/s
The volume is changing at the rate of 552.640in³/s
Answer:
10 degrees
Step-by-step explanation:
The total area of the triangle will equal 180 degrees.
Firstly add 108 and 48 to get a total of 156.
Now add the 14 from (x+14). You will get 170.
Since the total would be 180 degrees, you subtract 170 from 180.
180-170=10!!!
Answer:
-x + y = 0 or x - y = 0
Step-by-step explanation:
The line passes through points (0, 0) and (4,4), then its slope is:
m = (4 - 0)/(4 - 0) = 1
Given that the line passes through (0, 0), its y-intercept is
b = 0
Using slope and y-intercept form:
y = mx + b
y = x
The standard form of a line is:
Ax + By = C
So, we have to put all variables on the left side, as follows:
-x + y = 0
Multiplying by (-1) at both sides:
x - y = 0
Answer:
let angle AOB and angle COD be x
the it would be
x+x+110=180
2x+110=180
2x=180-110
2x=70
x=70/2
x=35 degree.
hope it will help you.
(7)^2-4(5)(-6)=
49+120=169 is the answer