Answer:
dh/dt = 0.4 m/min
Step-by-step explanation:
The volume of the cone is:
V(c) = (1/3)*r² *h if always h = 3r then r = h/3
The volume of the cone as a function of h will be:
V(h) = (1/3)* (h/3)²*h
V(h) = (1/27)*h³
The increasing rate of the volume is equal to the rate of sand added the:
D(V)/dt = (1/27)*3*h²*dh/dt
D(v) / dt = 10 m³/min
h = 15 m and dh/dt is the rate of increasing of the height
By substitution
10 m³/min = ( 1/9)* 225 * dh/dt (m²)
dh/dt = 90 / 225 m/min
dh/dt = 0.4 m/min
Answer:
-3/2
Step-by-step explanation:
Because 3 is on the postive side and 2 is on the negative
Slope is rise/run
gains 4m height for every 3secons
rise=4m
run=3sec
slope=4/3
if takes 54seconds t
54 times 4/3=72 meters
max height is 72 meteres assuming that it starts from the ground level
So,
a parallelogram is forming here
then, opposite angels are going to be equal
so,
y = (x+50)°
now,
as you know that sum of all angles of a quadrulateral equals 360°
so,
2 {(x+50)+(x-30)}=360°
(x+50)+(x-30) = 180°
2x + 20 = 180
2x = 160
x = 80°
therefore,
angle y = (x+50) = 80 +50 = 130°
and x = (x-30) = 80 - 30 = 50°
For example, to find two ratios that are equal to 1:7, first write 1:7 as the fraction 1/7. ... Next, multiply both the numerator and denominator of 1/7 by 2, to get 2/14, or 2:14, and multiply the numerator and denominator of 1/7 by 3, to get 3/21, or 3:21.
