The diagram shows the number of children who have ever used motorized scooters, manual scooters, and/or bicycles. Which combinat
ion represents the empty set? motor ⋃ manual motor ⋃ bicycle motor ∩ manual motor ∩ bicycle
2 answers:
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Hello!
First of all, let's find the triangle. As we can see, it is eight units long and four units tall. We can use the triangle formula and half the product.
4(8)=32
32/2=16
Now we need to find the area of the semicircle. We can use circle formulas and half our final answer. We will find the area using A=r².
We know that the diameter of this circle is eight. Therefore our radius is 4.
A=²
A=
Now we multiply.
16≈50.27
Now we add our triangle.
50.27+16=66.27
The nearest answer to this is B)66.2. It may have been a bit over as we used , not 3.14.
I hope this helps!
<h3>Answer: (4,2)</h3>
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Explanation:
C is at (0,0). Ignore the other points.
Reflecting over y = 1 lands the point on (0,2) because we move 1 unit up to arrive at the line of reflection, and then we keep going one more unit (same direction) to complete the full reflection transformation. I'll call this point P.
Then we reflect point P over the line x = 2 to arrive at the location Q = (4,2). Note how we moved 2 units to the right to get to the line of reflection, and then keep moving the same direction 2 more units, then we have applied the operation of "reflect over the line x = 2"
So we have started at C = (0,0), moved to P = (0,2) and then finally arrived at the destination Q = (4,2). This is the location of C' as well.
All of this is shown in the diagram below.