Answer:
Exact Area = 24pi square cm
Approximate Area = 75.36 square cm (when using pi = 3.14)
Note: "square cm" can be abbreviated to "cm^2" without quotes.
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Explanation:
Let's find the area of the full circle with radius r = 12
A = pi*r^2
A = pi*12^2
A = 144pi
This is the exact area of the full circle in terms of pi. To get the approximate area, you would replace pi with something like 3.14 (though you could use more decimal digits in pi to get a more accurate area).
We found the area of the full circle, but we only want a pie slice of it. Each slice is 60 degrees, out of 360 total. So that means we want 60/360 = 1/6 of the full area.
In other words, there are 6 slices because 360/60 = 6, which means we'll divide the area we got by 6
(144pi)/6 = (144/6)pi = 24pi
The exact area of the pie slice is 24pi square cm
If you used the approximation pi = 3.14, then that leads to an approximate answer of 24*pi = 24*3.14 = 75.36 square cm
I think you want to convert it all to feet.
1 mile = 5,280 feet
2 miles = 5,280 × 2
5,280 × 2 = 10,560 feet
10,560 + 500 = 11,060 feet
2 miles and 500 feet is equal to 11,060 feet
Answer:

Step-by-step explanation:
step 1
Find the value of x
we know that
----> by alternate interior angles
solve for x
Group terms

step 2
Find the measure of angle a
we know that
----> by vertical angles
substitute the value of x

step 3
Find the measure of angle b
we know that
----> by supplementary angles (form a linear pair)
we have

substitute

step 4
Find the measure of angle c
we know that
c=b ----> by vertical angles
we have

therefore

step 5
Find the measure of angle d
we know that
d=b ----> by corresponding angles
we have

therefore

step 6
Find the measure of angle e
we know that
e=a ----> by alternate exterior angles
we have

therefore

step 7
Find the measure of angle f
we know that
f=d ----> by vertical angles
we have

therefore

Answer:
5/3, 14/9, 41/27
Step-by-step explanation:
f(x) = (⅓)x + 1
x=0 = 2
x1 = (⅓)(2) + 1
= ⅔ + 1
x1 = 5/3
x2 = (⅓)(5/3) + 1
= 5/9 + 1
x2 = 14/9
x3 = (⅓)(14/9) + 1
= 14/27 + 1
x3 = 41/27