Answer:
Dh/dt = 0.082 ft/min
Step-by-step explanation:
As a perpendicular cross section of the trough is in the shape of an isosceles triangle the trough has a circular cone shape wit base of 1 feet and height h = 2 feet.
The volume of a circular cone is:
V(c) = 1/3 * π*r²*h
Then differentiating on both sides of the equation we get:
DV(c)/dt = 1/3* π*r² * Dh/dt (1)
We know that DV(c) / dt is 1 ft³ / 5 min or 1/5 ft³/min
and we are were asked how fast is the water rising when the water is 1/2 foot deep. We need to know what is the value of r at that moment
By proportion we know
r/h ( at the top of the cone 0,5/ 2) is equal to r/0.5 when water is 1/2 foot deep
Then r/h = 0,5/2 = r/0.5
r = (0,5)*( 0.5) / 2 ⇒ r = 0,125 ft
Then in equation (1) we got
(1/5) / 1/3* π*r² = Dh/dt
Dh/dt = 1/ 5*0.01635
Dh/dt = 0.082 ft/min
Answer:
the cost price is 27,715
Step-by-step explanation:
Let the cost price be x
As Amab sells to Vivek at 15% profit
So the selling price be
= 115 ÷ 100 × x = 1.15x
And Vivek sells to sagar at a profit of 10%
= 1.15x × 110 ÷ 100
= 1.265x
Now sagar pays it for 35,060
So , the cost price be
1.265x = 35,060
x = 27,715
Hence, the cost price is 27,715
If the image is congruent to the pre-image, then the scale factor must be 1.
Answer:
what is that
Step-by-step explanation:
i don't understand the world
