Answer:
0.0597in/s
Step-by-step explanation:
The volume of the spherical balloon V= 4/3πr³
r is the radius of the balloon
The rate at which the volume is changing dV/dt is expressed as;\
dV/dt = dV/dr*dr/dt
dV/dr = 3(4/3πr²)
dV/dr = 4πr²
dV/dr = 4π(2)²
dV/dr = 16π
dV/dt = 3 in³/s
Substitute inti the formula
3 = 16πdr/dt
dr/dt = 3/16π
dr/dt = 3/50.24
dr/dt = 0.0597in/s
Hence the balloon is increasing at the rate of 0.0597in/s
Step-by-step explanation:
for a perpendicular,
make x the subject.
8x=11-3y
x=11/8 +3/8
for a perpendicular, the gradient
x= -1/m
x= (-1/11/8) - (-1/3y/8)
x= 8/3y -8/11.
therefore the gradient (m) = 8/3y -8/11.
Answer:
385 cubes
Step-by-step explanation:
11*7*5=385 cubes
Answer:
90
Step-by-step explanation:
You can look at it from 2 perspectives:
1.The angle that is in front of a diameter is always 90°
OR
2. Central angle is twice any inscribed angle subtended by the same arc
The function that would best represent the given condition above is,
f(x) = 24 / (3x - 2)
To determine the value of f(-2), substitute -2 to all the x's in the function such that,
f(-2) = 24 / ((3)(-2) - 2) = -3
The value of f(-2) is -3.
