Hello Jade,
Great, now we can solve this problem. Since we are dealing with an opposite and adjacent angle, with regard to the 54 degree angle, this makes is a tangent ratio. SOH - CAH - TOA
We can set up and solve the following equation.
tan 54 = x/12 Use a calculator or chart to find the tangent of 54
1.37 = x/12 Multiply by 12
16.44 = x
The length of the missing side x is 16.44.
I hope this helps,
MrEQ
If u are looking for x its 4 because if y=2 then u substitue it for y and you get -x+2=-2. to get x by its self you have to subtract 2 from both sides and u end up with -x=-4 and u have to divide -x by -1 to get rid of the negative and u get x=4
I think B and D but i’m not 100% sure that’s the right answer
Answer:
What's a Solution to a System of Linear Equations? Note: If you have a system of equations that contains two equations with the same two unknown variables, then the solution to that system is the ordered pair that makes both equations true at the same time.
Step-by-step explanation:
Answer:
To complete the problem statement it is needed:
1.- the volume and weight capacity of the truck, because these will become the constraints.
2.- In order to formulate the objective function we need to have an expression like this:
" How many of each type of crated cargo should the company shipped to maximize profit".
Solution:
z(max) = 175 $
x = 1
y = 1
Assuming a weight constraint 700 pounds and
volume constraint 150 ft³ we can formulate an integer linear programming problem ( I don´t know if with that constraints such formulation will be feasible, but that is another thing)
Step-by-step explanation:
crated cargo A (x) volume 50 ft³ weigh 200 pounds
crated cargo B (y) volume 10 ft³ weigh 360 pounds
Constraints: Volume 150 ft³
50*x + 10*y ≤ 150
Weight contraint: 700 pounds
200*x + 360*y ≤ 700
general constraints
x ≥ 0 y ≥ 0 both integers
Final formulation:
Objective function:
z = 75*x + 100*y to maximize
Subject to:
50*x + 10*y ≤ 150
200*x + 360*y ≤ 700
x ≥ 0 y ≥ 0 integers
After 4 iterations with the on-line solver the solution
z(max) = 175 $
x = 1
y = 1
