16x -8x -12 = 24 + 20
Combine like terms:
8x-12 = 44
+12 +12
——————-
8x = 56
—- ——
8 8
x = 7
Cot(Ф)=-3
Ф=arccot(-3)
or
Ф=the inverse cotangent of -3
or
Ф=cot^-1(-3)
Answer:
Yes, one inch is a twlefth of a ft which is a porportion of a feet
Step-by-step explanation:
Answer:
(5, 21)
Step-by-step explanation:
The x-coordinate of the midpoint of a segment is half of the sum of the x-coordinates of the endpoints.
The y-coordinate of the midpoint of a segment is half of the sum of the y-coordinates of the endpoints.
Let the unknown point have coordinates (x, y).
x-coordinate:
(5 + x)/2 = 5
5 + x = 10
x = 5
y-coordinate:
(-1 + y)/2 = 10
-1 + y = 20
y = 21
The other endpoint has coordinates (5, 21).
Answer:
133 fishes
Step-by-step explanation:
Units of food A = 400 units
Units of food B = 400 units
Fish Bass required 2 units of A and 4 units of B.
Fish Trout requires 5 units of A and 2 units of B.
i. For food A,
total units of food A required = 2 + 5
= 7 units
number of bass and trout that would consume food A = 2 x 
= 114.3
number of bass and trout that would consume food A = 114
ii. For food B,
total units of food B required = 4 + 2
= 6 units
number of bass and trout that would consume food B = 2 x 
= 133.3
number of bass and trout that would consume food B = 133
Thus, the maximum number of fish that the lake can support is 133.