Answer:
2nd choice
Step-by-step explanation:
Answer:
) See annex
b) See annex
x = 0,5 ft
y = 2 ft and
V = 2 ft³
Step-by-step explanation: See annex
c) V = y*y*x
d-1) y = 3 - 2x
d-2) V = (3-2x)* ( 3-2x)* x ⇒ V = (3-2x)²*x
V(x) =( 9 + 4x² - 12x )*x ⇒ V(x) = 9x + 4x³ - 12x²
Taking derivatives
V¨(x) = 9 + 12x² - 24x
V¨(x) = 0 ⇒ 12x² -24x +9 = 0 ⇒ 4x² - 8x + 3 = 0
Solving for x (second degree equation)
x =[ -b ± √b²- 4ac ] / 2a
we get x₁ = 1,5 and x₂ = 0,5
We look at y = 3 - 2x and see that the value x₂ is the only valid root
then
x = 0,5 ft
y = 2 ft and
V = 0,5*2*2
V = 2 ft³
Answer:
6·2^2 + 6·11^2 + 6·3^2 - 2·2^2 - 2·3^2 = 778 inches²
Answer:
Step-by-step explanation:
angle 2 and angle 3 are linear pair
angle 1 and angle 7 are alternate exterior angle
angle 4 + angle 7=a80 degree
124 + angle 7=180
angle 7=180-124
angle 7=56 degree
angle 1 is supplementary to angle 2 ,angle 4, angle 6, angle 8 .In supplementary angle sum of two angle is always 180 degree.
angle 4 and angle 5 are supplementary angles because their sum is equal to 180 degree.
angle 4 + angle 5(being co interior angle)
3x+17+x+23=180
4x+40=180
4x=19=180-40
x=140/4
x=35
