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Fantom [35]
2 years ago
5

What is the radius of a circle with an area of 9671.99 cm²? Use 3.14 for pi.

Mathematics
1 answer:
Tcecarenko [31]2 years ago
6 0

Answer:

55.5000143456...

Step-by-step explanation:

Use the formula for the area of a circle and solve for r:

A=\pi r^2\\9671.99=3.14r^2\\3080.25159236...=r^2\\55.5000143456...=r

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Expand (2 + a)9 using Pascal’s triangle.
Natalija [7]

Answer:

Step-by-step explanation:

The Pascal triangle is used to determine the coefficients of the terms when we expand the expression.

                                             1                                (A + B) ^ 0 = 1

                                         1       1                            (A +B ) ^ 1 = 1A + 1B

                                   1          2        1          (A+ B) ^ 2 = 1A^2 + 2 AB + 1B^2

By extending the triangle, you will get the 9th row, which is your expression, of the coefficients. that is

1          9       36    84    126    126    84    36    9    1

Now, fill in AB in the gaps.

1AB + 9 AB + 36AB + 84AB + 126AB + 126AB +84AB + 36AB + 9AB + 1AB

Next, you need to go from the left to fill out the exponent of A and it will go down from 9 (the exponent of the whole thing) . That is

1A^9B+9A^8B+36A^7B+84A^6B+126A^5B+126A^4B+84A^3B+36A^2B+9A^1B+1A^0B

Next will be the exponent of B. this time, you go from the right and do the same with A. You can go from the left also, but go up from 0 to 9 for the exponent of B

1A^9B^0+9A^8B^1+36A^7B^2+84A^6B^3+126A^5B^4+126A^4B^5+84A^3B^6+36A^2B^7+9A^1B^8+1A^0B^9

The last step is just to simplify the A^0=1 and B^0 =1 at the first and the last terms.

A^9+9A^8B^1+36A^7B^2+84A^6B^3+126A^5B^4+126A^4B^5+84A^3B^6+36A^2B^7+9A^1B^8+B^9

Hope you can learn the method

5 0
2 years ago
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velikii [3]

Answer:

h=12

Step-by-step explanation:

by cross multiplying we get 1h=12 or h=12 so h=12

8 0
2 years ago
Graph the line that passes through the points (-1,-4) and (-2,-1) and
Oksanka [162]
Im dislexic im sorry
7 0
3 years ago
What is the Circumference of a circle with a radius of 5? Use 3.14 for pi
Thepotemich [5.8K]

Answer:

=78.5cm

Step-by-step explanation:

pi=3.14

formula=3.14×r×r

3.14×5×5

78.5

4 0
2 years ago
Evaluate the expression -36/-9
Shtirlitz [24]
The answer would be 4
(Positive 4 btw)
7 0
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