Answer:
24 square units
Step-by-step explanation:
The area of a parallelogram is given by the formula ...
A = bh
where A represents the area, b the length of the "base", and h the "height" measured at right angles to the base.
Here, it is convenient to use one vertical side of the figure as the base. You can count the grid squares to see that it is 8 units long.
The height is then the distance from one vertical side to the other. Again, you can count the grid squares to see that it is 3 units.
The area is the product of these dimensions:
A = (8 units)·(3 units) = 24 units^2
Answer:
z(max) = 256000 Php
x₁ = 10
x₂ = 110
Step-by-step explanation:
Jogging pants design Selling Price Cost
weekly production
Design A x₁ 2500 1750
Design B x₂ 2100 1200
1. z ( function is : )
z = 2500*x₁ + 2100*x₂ to maximize
First constraint weekly production
x₁ + x₂ ≤ 120
Second constraint Budget
1750*x₁ + 1200*x₂ ≤ 150000
Then the model is
z = 2500*x₁ + 2100*x₂ to maximize
Subject to
x₁ + x₂ ≤ 120
1750*x₁ + 1200*x₂ ≤ 150000
General constraints x₁ ≥ 0 x₂ ≥ 0 both integers
First table
z x₁ x₂ s₁ s₂ cte
1 -2500 -2100 0 0 0
0 1 1 1 0 = 120
0 1750 1200 0 1 = 150000
Using AtoZmath online solver and after 6 iterations the solution is:
z(max) = 256000 Php
x₁ = 10
x₂ = 110
Answer:
Identity (a) can be re-written as
which we already proven in another question, while for idenity (b)
step A is simply expressing each function in terms of sine and cosine.
step B is adding the terms on the LHS while multiplying the one on RHS.
step C is replacing the term on the numerator with the equivalent from the pithagorean identity 
Answer:
583
Step-by-step explanation:
add 6 per every number till you get to the 94th term
Algebra
The inverse of -9n is dividing by -9.
