First you add 3 and 2 so that is 5 and then you subtract 5 from 9 so the answer is 4.
Answer:
- It is the last graph: solid line, shaded area over the line x = 2 - x/2
Explanation:
1) <u>Set the algebraigic expression that represents the combinations of sofa and pillow orders:</u>
- Number of sofas: x (given)
- Number of pillows: 2y (given, since they come in pairs)
- Number of items = number of sofas + number of pillows = x + 2y
- Minimum of 4 items in each order (given) ⇒ x + 2y ≥ 4
<u>2) Predict the graph of the inequality x + 2y ≥ 4</u>
- The border line is the equation x + 2y = 4
- You can choose two points to draw a line
- Choose the axis-intercepst:
x = 0 ⇒ 2y = 4 ⇒ y =4/2 ⇒ y = 2 ⇒ point (0,2)
y = 0 ⇒ x = 4 ⇒ point (4,0)
Then the lines goes through (0,2) and (4,0) ... [the four graphs meet this]
- The shading area is above the line because when you solve for y you get y ≥ 2 - x/2, and the line is included because the "equal to" part of the symbol (≥ means greater than or equal to).
- To state that the line is included the graph uses a continous line instead of a dotted one.
<u>3) Conclusion:</u>
That means that the correct graph is the last one: solid line, shaded area over the line y = 2 - x/2.
Note: a more detailed graph would include the fact that the items cannot be negative, i.e. x ≥ 0 and y ≥ 0, which would result in that the shaded area would be on the first quadrant.
Answer:



Step-by-step explanation:
Given 
(A) 
We know that Sin(A + B) = SinA cosB + cosAsinB
Substituting in the above formula we get:


(B) Cos(A + B) = CosAcosB - SinASinB




(C) Tan(A + B) = 
From the above obtained values this can be calculated and the value is
.
To get a certain percentage as a decimal, all you have to do is divide this percentage by 100.
Applying this on the given question, we will find that:
3.58% = (3.58) / (100) = 0.0358
Comparing the calculated value to the given choices, we will find that the correct choice is:
<span>c) 0.0358</span>
Answer:
D appears to be a regular polygon ..
The definition of a polygon is to have all the same angles which appears to be D