Answer:
x = 73.4°
Step-by-step explanation:
sin x° = 23/24
sin x° = 0.9583
x = 73.4°
The solution of are 1 + 2i and 1 – 2i
<u>Solution:</u>
Given, equation is
We have to find the roots of the given quadratic equation
Now, let us use the quadratic formula
--- (1)
<em><u>Let us determine the nature of roots:</u></em>
Here in a = 1 ; b = -2 ; c = 5
Since , the roots obtained will be complex conjugates.
Now plug in values in eqn 1, we get,
On solving we get,
we know that square root of -1 is "i" which is a complex number
Hence, the roots of the given quadratic equation are 1 + 2i and 1 – 2i
Answer:
1. CI = P (1 + )^ n - P
CI = A - P
Where P is Principal
R is interest rate
n is number of years
2. a. Semi annually - four times in a year
b. Monthly - two times in a year
c. annually - once in a year
Step-by-step explanation:
1. Money is said to be lent at compound interest , when the interest has become due at certain fixed period say, one year, half year, etc.., is given not paid to money lender, but is added to sum lent . The amount thus obtained become principal for next month and this process repeat until last period .
i.e CI = Final period - Initial period
or CI = A - P
or CI = P(1+ ) ^n - P
2. (a) Semi annually
A = P (1 + )^ n × 4
(b) Monthly
A = P (1 + ) ^ n × 2
(c) Annually
A = P (1 + ) ^ n
AB^2 + BC^2 = AC^2
AB^2 + 6^2 = square root 117^2
AB^2 + 36 = 117
Now subtract 117 from both sides
AB^2 = 81
AB = square root 81 = 9
Therefore AB is 9 cms.