Answer:
48 mm ^ 2
Step-by-step explanation:
We know we have a cube of side x, therefore the volume of that cube will be equal to:
V = x ^ 3, because it is a cube and each side is the same.
Now the derivative of the volume with respect to the length (that is, x) would be:
dV / dx = 3 * (x ^ 2)
They tell us that x takes a value of 4, replacing we have:
dV / dx = 3 * (4 ^ 2) = 48
That is, 48 mm ^ 2 would be the value of dV / dx when x is equal to 4 mm.
Answer:
∠EPH = 107°
Step-by-step explanation:
∠EPH is an angle formed by two intersecting chords.
arc FG and arc EH are the arcs ∠EPH intercepts.
The relationship between an angle formed by intersecting chords and their intercepted arcs is that the angle is equal to half the sum of its intercepted arcs.
Which means that ∠EPH = 1/2 ( arc FG + arc EH )
If arc FG = 120° and arc EH = 94°
Then ∠EPH = 1/2 ( 120 + 94 )
120 + 94 = 214
214 / 2 = 107
Hence, ∠EPH = 107°
Answer:
-6
Step-by-step explanation:
14x+6=2(5+7x)
14x+6=10+14x
14x-14x=10-16
x= -6
Answer:
1 3/8 Feet
Step-by-step explanation:
Take 2 1/2 and subtract 1 1/8 which gives u 1 3/8
if u don't understand fractions u can always turn ur fractions into decimals that's what I did :)