The area of every circle is (pi) (radius²) .
Radius = 1/2 of the diameter, so the area of your circle is
(pi) x (8 cm)² = 201 cm² . (rounded)
(pi) is not 3 . There's nothing wrong with approximating (pi),
but 3 is more than 4.5% wrong, and that's too much. There's
no reason why 3.14 should be too hard to handle.
Answer:
10
Step-by-step explanation:
a = 2 and b= 3
(a + b)2
(2 + 3)2
10
Given:
The expression: (1 + x)^n
The Binomial Theorem is used to predict the products of a binomial raised to a certain power, n, without multiplying the terms one by one.
The following formula is used:
(a + b)^n = nCk * a^(n-k) * b^k
we have (1 +x)^n,
where a = 1
b = x
let n = 4
First term, k = 1
4C1 = 4
first term: 4*(1^(4-1))*x^1
Therefore, the first term is 4x. Do the same for the next three terms.
2nd term: k =2
3rd term: k = 3
4th term: k = 4
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Answer:
158
Step-by-step explanation:
The correct question is
Which is the best approximation to a solution of the equation
e^(2x) = 2e^{x) + 3?
we have that
e^(2x) = 2e^{x) + 3-----------> e^(2x)- 2e^{x) - 3=0
the term
e^(2x)- 2e^{x)----------> (e^x)²-2e^(x)*(1)+1²-1²------> (e^x-1)²-1
then
e^(2x)- 2e^{x) - 3=0--------> (e^x-1)²-1-3=0------> (e^x-1)²=4
(e^x-1)=2--------> e^x=3
x*ln(e)=ln(3)---------> x=ln(3)
ln(3)=1.10
hence
x=1.10
the answer is x=1.10
