Answer:
46
Step-by-step explanation:
180 minus 105 minus 29
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:
Surface Area A = 490 cm²
Step-by-step explanation:
Surface area of a prism A = 2(w l +h l + h w)
where l = length
w = width
h = height
l = 7 cm; w = 7 cm ; h = 14 cm
Surface Area = 2 { ( 7 × 7) + ( 14 × 7) + ( 14 × 7)}
A = 2 { 49 + 98 + 98}
A = 2 × 245
A = 490 cm²
Answer:
perimeter of square =34cm
Step-by-step explanation:
its 64..area
normally we find area by calculating side ×side
so 8×8
=64
