Answer:
12.56 feet
Step-by-step explanation:
The perimeter of a shape is the sum of all its side.
Since circle doesn't have "sides", the perimeter is the length of the whole circle. This has the name "circumference".
The circumference of a circle has the formula:
Where
C is the circumference (perimeter of a circle)
r is the radius
Given,
r = 2 feet
We substitute and find the circumference, using 3.14 as 
,
Hence, the circumference is 12.56 feet
Answer:
If x = 3y and 3y = x, then y = 1/3x.
Answer:
Step-by-step explanation:
2) let the two numbers be x and y
x-y =15
(taking x to be big)
x = 3 (y)+1
i.e. x-3y =1
Subtracting we get
2y =14 or y =7
x =15+7 =22
Larger number is 22 and smaller number is 7
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Alysha is 2 years younger than Bryce/
Let Alysha be x years old then Bryce would be x+2
Sum of their ages
=x+x+2 =28
2x+2 =28
2x=26
x=13
Hence Alysha is 13 years old and Bryce 14 years old.
Answer:
1st picture: (0,4)
The lines intersect at point (0,4).
2nd picture: Graph D
2x ≥ y - 1
2x - 5y ≤ 10
Set these inequalities up in standard form.
y ≤ 2x + 1
-5y ≤ 10 - 2x → y ≥ -2 + 2/5x → y ≥ 2/5x - 2
When you divide by a negative number, you switch the inequality sign.
Now you have:
y ≤ 2x + 1
y ≥ 2/5x - 2
Looking at the graphs, you first want to find the lines that intersect the y-axis at (0, 1) and (0, -2).
In this case, it is all of them.
Next, you would look at the shaded regions.
The first inequality says the values are less than or equal to. So you look for a shaded region below a line. The second inequality says the values are greater than or equal to. So you look for a shaded region above a line.
That would mean Graph B or D.
Then you look at the specific lines. You can see that the lower line is y ≥ 2/5x - 2. You need a shaded region above this line. You can see the above line is y ≤ 2x + 1. You need a shaded region below this line. That is Graph D.
Okay so for this all you have to do is add 1 to 1/3.
However, to do this you first need to convert 1 into a fraction.
1 = 3/3
3/3 + 1/3 = 4/3
Hope this helps :)
