Answer:
23.13
Step-by-step explanation:
E + w = 50.....w = 50 - e
25e + 20w = 1090
25e + 20(50 - e) = 1090
25e + 1000 - 20e = 1090
25e - 20e = 1090 - 1000
5e = 90
e = 90/5
e = 18 <=== the east got 18
w = 50 - e
w = 50 - 18
w = 32 <=== the west got 32
Step-by-step explanation:
step 1. a circle with r = 2 has area of (pi)r^2 = (pi)(4) = 4pi
step 2. a circle with r = 3 has area of (pi)r^2 = (pi)(9) = 9pi
step 3. the area, A, of a circle is half the sum of the area of the circles with r = 2 and r = 3
step 4. A = (4pi + 9pi)/2 = 13pi/2 = 6.5(pi).
step 5. the answer is not 6.5 but is 6.5(pi) or 6.5 times pi.
2(4^2 + 1) = 2(16+1) = 2(17) = 34
Answer:
Choice A. (10, -1)
Choice B. (-8, 9)
Choice D. (6, -3)
Step-by-step explanation:
If we plug the coordinates of point A into the inequality, then we get,
x+y > -2
10 + (-1) > -2
9 > -2
That last inequality is a true statement since 9 is to the right of -2 on the number line. That means (10,-1) is a solution. Choice A is one of the answers.
Choices B and D are also answers for similar reasons.
Something like choice C is not a solution because
x+y > -2
-1+(-9) > -2
-10 > -2
Which is false.
You should find that choice E is false as well.
If you graphed the inequality and all of the points mentioned (see below), then you can visually confirm the answers. Notice how points A, B and D are in the blue shaded region which is the solution set.
The point E on the boundary does not count as a solution. This is due to the lack of "or equal to" portion of the inequality sign. That visually shows point E is not a solution. Point C isn't a solution either as it's nowhere near the blue shaded region.