Answer:
i attatched a picture of how it should look
Step-by-step explanation:
Answer:
the rate of change of height when the water is 1 meter deep is 21 m/min
Step-by-step explanation:
First we need to find the volume of the trough given its dimensions and shape: (it has a prism shape so we can directly use that formula OR we can multiply the area of its triangular face with the length of the trough)
here L is a constant since that won't change as the water is being filled in the trough, however 'b' and 'h' will be changing. The equation has two independent variables and we need to convert this equation so it is only dependent on 'h' (the height of the water).
As its an isosceles triangle we can find a relationship between b and h. the ratio between the b and h will be always be the same:
this can be substituted back in the volume equation
the rate of the water flowing in is:
The question is asking for the rate of change of height (m/min) hence that can be denoted as:
Using the chainrule:
the only thing missing in this equation is dh/dV which can be easily obtained by differentiating the volume equation with respect to h
reciprocating
plugging everything in the chain rule equation:
L = 12, and h = 1 (when the water is 1m deep)
the rate of change of height when the water is 1 meter deep is 21 m/min
Answer:
d = 10s
Step-by-step explanation:
The formula for calculating the speed of Sumi is expressed as;
Speed = distance/time
Given
Speed = 10ft/s
time = s seconds
Required
Distance travelled as a function of time;
from the formula;
Distance = Speed * time
Distance = 10 * s
d = 10s
Hence the equation that expresses the distance d that sumi has traveled as a function of the time s in seconds since she started riding her bike is;
d = 10s
Answer
28 percent
Step-by-step explanation:
divide 14/50
Answer:
34 and 30
Step-by-step explanation:
8 times 3 = 34
and 34-4=30
divide 8 by 2 and you'll get 4
so, 34-4=30