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umka2103 [35]
3 years ago
12

Please please help! Find the area of the shaded sector. Leave your answer in terms of pi.

Mathematics
2 answers:
Ronch [10]3 years ago
4 0
The area of a circle is pi * radius squared, thus the area of the circle is 64(pi).  Since we have a sector with 90 degree angle, the area of the sector is exactly 1/4 the area of the entire circle, or 16(pi)
Phantasy [73]3 years ago
3 0
1/4 of the pie is covered. 3/4 is not.
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What is the distance between (-4,4) and (-7,3)
Alex787 [66]

Answer:

\sqrt{10}

Step-by-step explanation:

Using the distance formula, we see that the distance between (-4,4) and (-7,3) is \sqrt{10}.

4 0
3 years ago
Adam takes a loan of $8,250 at a 7% simple rate for 5 years. How much will be paid after 3 years? how much interest will be paid
Diano4ka-milaya [45]
$4,950 will be paid after 3 years.
$577.50 will be paid as interest for the total loan.
6 0
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24 question thank you
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8 0
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Read 2 more answers
Rachel has 60 scones. She sells them to Robbie, Cameron, Louis, Tom and Charlie in that order. Each customer buys more scones th
Korvikt [17]
Robbie bought the smallest amount. Let's use x for that amount.
Let's use n for amount that each following customer increases.

We have:
Robbie=x
Cameron=x+n
Louis=x+n+n
Tom=x+n+n+n
Charlie=x+n+n+n+n

We know that they bought total of 60 scones.
Robbie + Cameron + Louis + Tom + Charlie = 60
x + x+n + x+n+n + x+n+n+n + x+n+n+n+n = 60
5x + 10n = 60 /:5
x + 2n = 12

We are also given this information:
(Robbie + Cameron) = 3/7 * (Louis + Tom + Charlie)
We insert the equations from above:
(x + x+n) = 3/7 * (x+n+n + x+n+n+n + x+n+n+n+n) 
2x + n = 3/7 * (3x + 9n) /*7
14x + 7n = 3* (3x + 9n)
14x +7n = 9x + 27n
We take everything on the left side.
14x + 7n - 9x - 27n = 0
5x - 20n = 0/:5
x - 4n = 0

Now we have two equations:
x + 2n = 12
x - 4n = 0
We solve second one for x and insert it into first one.
x + 2n = 12
x = 4n

4n + 2n =12
6n = 12 /:6
n = 2
x=4*2
x=8


Now we can solve for the amount for each customer.
Robbie=x = 8
Cameron=x+n = 8 + 2 = 10
Louis=x+n+n = 8 + 2 + 2 = 12
Tom=x+n+n+n = 8 + 2 + 2 + 2 = 14
Charlie=x+n+n+n+n = 8 + 2 + 2 + 2 + 2 = 16
7 0
3 years ago
What is the domain of the function (-1,1) (0,0) (1,2)
galben [10]

Answer:

{-1,0,1}

Step-by-step explanation:

The domain of a function is the set of all input values. The input values are the first coordinate in any coordinate pair (x,y).

So the domain here is {-1, 0, 1}.

8 0
3 years ago
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