Equilibrium is point where supply = demand
Solve with substitution.
From supply equation ---> q = 2p - 63
Sub into demand equation ---> (p+30)(2p-63+25) = 2584
Solve for p:
2p^2 +22p - 1140 = 2584
p^2 + 11p -1862 = 0
(p+49)(p-38) = 0
p = 38
Sub back into supply equation to find q
q = 2(38) - 63
q = 13
Answer: Equilibrium is 13 units sold at price of $38.
Answer:
13.41 cm
Step-by-step explanation:
The radius, height, and HALF of vertical angle makes a triangle.
Where
Radius will be the base of the triangle
Height will be the "height" of the triangle
Top angle will be HALF of vertical angle (40/2 = 20)
From the 20 degree angle, the side "opposite" would be the radius, which is 30. The side "adjacent" would be the height, let it be h.
<em>Which trig ratio relates opposite and adjacent? Yes, that is TAN. Thus we can write:</em>
Tan(20) = opposite/adjacent
Tan(20) = 30/h
h = 30/Tan(20)
h = 13.41
So
The height of the cone would be around 13.41 cm
Answer:yes
Step-by-step explanation:
Answer:
The correct option is C. 14.
Step-by-step explanation:
First you have that the perimeter of a rectangle = (2·length) + (2·width)
⇒perimeter of a rectangle = [2·( x + 7)] + [2·(2x - 3)]
⇒ 32 = [2·( x + 7)] + [2·(2x - 3)] ⇒ 32 = (2x + 14) + (4x - 6)
⇒ 32 = 6x + 8 ⇒ 32 - 8 = 6x ⇒ 24= 6x ⇒ 24/6 = x ⇒ x = 4. ⇒ 3x= 12.
41/6-5/6 = 36/6
36/6= 6
So 5/6 would need to be subtracted to develop a fraction that divides to 6
