Answer:
<h2>x<=5</h2>
Step-by-step explanation:
x+8+2x <= 2x +13
x+8<= 13
<h2>x<=5</h2>
Answer:
r = 3.628 cm
h = 10.88 cm
cost = 11.16 cents
Step-by-step explanation:
we know the total volume = 450 cc
then pi * r ^ 2 * h = 450
solved for h:
h = 450 / (pi * r ^ 2)
h = 143.31 / r ^ 2
now the total cost of packing = 2 * 3.14 * r * h * 0.03 + 3.14 * r ^ 2 * 0.03 + 3.14 * r ^ 2 * 0.06
= 0.1884 * r * h + 0.0942 * r ^ 2 + 0.1884 * r ^ 2
= 0.1884 * r * h + 0.2826 * r ^ 2
putting the value of h in the previous equation we obtain
total cost = 27 / r + 0.2826 * r ^ 2
we have to minimize this to differentiate it and equate it with 0
:
-27 / r ^ 2 + 0.5652 * r = 0
r ^ 3 = 27 / 0.5652
r ^ 3 = 47.77
r = 3,628 cm
replacing:
we get h = 450 / (3.14 * 3,628 ^ 2) = 10.88 cm
the total cost can be calculated for the equation
we get the total cost = 27 / 3,628 + 0.2827 * 3,628 ^ 2 = 11.16 cents
Answer:
36°, 42°, 72°, 102°, 108°
Step-by-step explanation:
Angles at a point = 360°
Therefore:
(3x - 6) + x + 3x + 2x + (x + 6) = 360°
Open parthenogenesis
3x - 6 + x + 3x + 2x + x + 6 = 360
Add like terms
10x = 360
Divide both sides by 10
x = 36
✔️Value of each angle:
Plug in the value of x in each expression
x = 36°
3x - 6 = 3(36) - 6 = 102°
3x = 3(36) = 108°
x + 6 = 36 + 6 = 42°
2x = 2(36) = 72°
