Answer:
21/32 square inches.
Step-by-step explanation:
The area of a rectangle = length x width
The area of her picture = length x widht
= 7/8 x 3/4
= 21/32
The area of her picture is 21/32 square inches.
Yes, I agree the area of the picture is 21/32 square inches.
The area must be in square inches. So she need to specify it.
Thank you.
Answer:
Can you take a picture of the problem to see if i could help!?
Step-by-step explanation:
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
we can use properties of functions to find this out
for ![f(x)=ax^b](https://tex.z-dn.net/?f=f%28x%29%3Dax%5Eb)
if b is even, then the ends of the function go in the same directions (both up or both down)
if b is odd, then the ends of the function go in different directions (one up and one down)
if a is positive and b is even, then both ends point up
if a is positve and b is odd, then it goes from bottom left to top right
if a is negative and b is even, then both ends point down
if a is negative and b is odd, then it goes from top left to bottom right
given ![f(x)=5x^4](https://tex.z-dn.net/?f=f%28x%29%3D5x%5E4)
a=5>0
b=4 which is even
so it has both ends pointing up
bottom right graph is yo answer