<u>I believe I have to calculate the area of the shape. I'll do that.</u>
Answer:
<em>Total area = 23.04 square m</em>
Step-by-step explanation:
<u>Area of a compound shape</u>
The shape shown in the figure can be divided into two smaller rectangles. We need to find their dimensions.
The single tick in the 2 m side indicates the other side also measures 2 m. This means the width of one of the smaller rectangles is 5.2m - 2 m = 3.2 m
The double tick in the 5.2 m also indicates the length of that smaller rectangle is 5.2 m. Thus the two rectangles have their respective areas as:
A1 = 5.2 m * 3.2 m = 16.64 square m
A2 = 2 m * 3.2 m = 6.4 square m
The total area is:
At = 16.64 square m + 6.4 square m = 23.04 square m
Total area = 23.04 square m
Answer:
6, 2
Step-by-step explanation:
<h3>
Answer: A) Dashed line, shaded below</h3>
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Explanation:
2x + 4y < 16 solves to y < -0.5x+4 when you isolate y. The inequality sign does not change direction because we divided both sides by a positive value (in this case, 4).
The graph of y < -0.5x+4 will be the same as the graph of 2x+4y < 16
To graph y < -0.5x+4, we graph y = -0.5x+4 which is a straight line that goes through the two points (0,4) and (2, 3). This is the boundary line of the inequality shaded region. The boundary line is a dashed line because we are not including points on the boundary that are part of the solution set. We only include these boundary points if the inequality sign has "or equal to".
We then shade below the dashed boundary line to indicate points below the boundary line. The shading is done downward due to the "less than" sign.
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Perhaps another method to find what direction we shade is we can try out a point like (0,0). The point cannot be on the boundary line.
Plug those coordinates into either equation. I'll pick the second equation
y < -0.5x+4
0 < -0.5*0+4
0 < 0+4
0 < 4
The last inequality is true, so the first inequality is also true when (x,y) = (0,0). Therefore, the point (0,0) is in the shaded region. The point (0,0) is below the boundary line y = -0.5x+4
So this is another way to see that the shaded region is below the boundary line.
ANSWER
C. If it is not night, then the street lights will not come on.
EXPLANATION
The given statement is
"If it is night, then the street lights will come on"
Given the statement,
"If p, then q",
then the inverse of this statement is
"If it is not night,then the street lights will not come on"
"If not p, then not q"
The correct choice is C.
Answer:
3 3/8
Step-by-step explanation:
4 5 27
--- - ----- = ------- or 3 3/8
1 8 8
