The area of a square is the square of the length of its side. Here, we're told that the side of each square is equal to the radius (r) of the circle. Then the area of each square is
.. Asquare = r^2
There are 3 of them, so their total area is
.. Aall_squares = 3*r^2
The area of a circle is given by the formula
.. Acircle = π*r^2 . . . . . where r represents the radius of the circle
Fernie wants to compare the area of the 3 squares to that of the circle. We know that the value of π is about 3.1416, a little more than 3, so we have
.. Aall_squares = 3*r^2
.. Acircle ≈ 3.1416*r^2
We notice that 3.1416 is more than 3, so the area of the circle is greater than the area of Fernie's 3 squares.
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It is not clear to me that Fernie's drawing will explain the formula A = π*r^2, unless it can somehow be used to show that the parts of each square that are outside the circle add up to an amount that is slightly less than the uncovered part of the circle.
9514 1404 393
Answer:
$2,617.50
Step-by-step explanation:
Using this table, the tax is ...
tax = 2% × $3000 + 3% × (5000 -3000) + 5% × (17000 -5000) + ...
5.75% × (50,000 -17,000)
= $60 + 60 + 600 + 1897.50
tax = $2,617.50
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<em>Additional comment</em>
Above $17,000, the tax is more easily computed as ...
tax = (5.75% × income) - 257.50
Each tax bracket can have a simplified formula like this.
Answer:
C. 21
Step-by-step explanation:
Answer: The first number is 4
Explanation: Since the sum of the two numbers is ten, x + y = 10
Also, since the difference of the two numbers is two, then x - y = 2
Since x - y = 2, another way to write that is x = y + 2 and since x is exactly the same as y + 2, we can plug in "y + 2" in place of x in the first equation (x + y = 10) to get (y + 2) + y = 10. Then we solve this equation by combining like-terms.
2y + 2 = 10
2y = 8
y = 4
Since x = y + 2, x = 4 + 2 or x = 6
I hope this helped you!
Lets start from scratch.
45 is the number of money she spent that means that right side of = sign is 45
let m represents number of roses.
we can write:
t*$1+ m*$2 = $45
Since she bought 3 more tulips than roses that means that m = t - 3
when we express m we get:
t + 2*(t-3) = 45
the answer is B.
