x
Step-by-step explanation:
The graphed area is below the line with negative slope and above the line with positive slope. The lines themselves are not shaded, indicating that the sections on the line are not in the solution area, so the third set of inequalities is the correct one.
Answer:
Circumference = 18.84 ft
Area = 28.26 ft squared
Step-by-step explanation:
C(circumference) = 2 x 
x r(radius)
radius = 1/2 circumference
1. divide circumference by two to get the radius, which would be three ft.
2. multiply the radius by pie (3.14) and then multiply that by two and you have your circumference, which is 18.84 ft
area = x r(radius)^2
1. find the radius squared, which would be 9 because 3^2 = 3 x 3 which = 9
2. multiply 9 by pie (3.14) and you get the area which = 28.26
When ever you have percentages, it should be helpful to bear in mind you can express them as multipliers. In this case, it will be helpful.
So, if we let:
a = test score
b = target score
then, using the information given:
a = 1.1b + 1
a = 1.15b - 3
and we get simultaneous equations.
'1.1' and '1.15' are the multipliers that I got using the percentages. Multiplying a value by 1.1 is the equivalent of increasing the value by 10%. If you multiplied it by 0.1 (which is the same as dividing by 10), you would get just 10% of the value.
Back to the simultaneous equations, we can just solve them now:
There are a number of ways to do this but I will use my preferred method:
Rearrange to express in terms of b:
a = 1.1b + 1
then b = (a - 1)/1.1
a = 1.15b - 3
then b = (a + 3)/1.15
Since they are both equal to b, they are of the same value so we can set them equal to each other and solve for a:
(a - 1)/1.1 = (a + 3)/1.15
1.15 * (a - 1) = 1.1 * (a + 3)
1.15a - 1.15 = 1.1a + 3.3
0.05a = 4.45
a = 89
