Answer:
Option C - 420
Step-by-step explanation:
Given : Objective function, P, with the given constraints

Constraints,


To find : What is the maximum value
Solution :
First we plot the graph through the given constrains.
As they all move towards the origin the common region of the equations is given by the points (0,0), (0,12), (2,10), (4,0)
Refer the attached figure.
So, we put all the points in P to, get maximum value.






Therefore, The value is maximum 420 at (0,12)
So, Option C is correct.
Alternate exterior
hope this helps!
Answer:


Step-by-step explanation:
<u>Trigonometric Ratios
</u>
The ratios of the sides of a right triangle are called trigonometric ratios.
The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
The image provided shows a right triangle whose hypotenuse is given. We are required to find the value of both legs.
Let's pick the angle of 30°. Its adjacent side is y. We can use the cosine ration, which is defined as follows:


Solving for y:

Since:


Simplifying:

Now we use the sine ratio:


Solving for x:

Since:


Simplifying:

The choices are not clear, but it seems like the correct answer is C.


Here are the ordered pairs
(4,3)
(8,6)
(-4,-3)
Hope this helped?
Answer:
6ft squared
Step-by-step explanation:
base x height divided by 2
3 x 4 = 12
12/2
6