Sin 30° = 1/2 = x/8
then x = 4
sin 60° = √3/2 = y/8
then y = 4√3
so the length of the longer leg is 4√3
Answer:
Well thats not good
Step-by-step explanation:
is this a test? i like tests.
Where is the table? I can’t help unless I can see the table
Answer: The required probability is 2.24%.
Step-by-step explanation:
Since we have given that
Percentage of people are senior citizens ( 65 years old or older ) = 14%
Percentage of people are under 65 years old = 100-14 = 86%
Probability that senior citizens get the flu each year = 16%
Probability that under 65 years old get the flu each year = 30%
So, Probability that a person selected at random from the general population is senior citizen who get the flu this season is given by
Hence, the required probability is 2.24%.
![\huge \boxed{\mathfrak{Answer} \downarrow}](https://tex.z-dn.net/?f=%20%5Chuge%20%5Cboxed%7B%5Cmathfrak%7BAnswer%7D%20%5Cdownarrow%7D)
![\large \bf\frac { 5 - 3 i } { - 2 - 9 i } \\](https://tex.z-dn.net/?f=%20%5Clarge%20%5Cbf%5Cfrac%20%7B%205%20-%203%20i%20%7D%20%7B%20-%202%20-%209%20i%20%7D%20%5C%5C%20)
Multiply both numerator and denominator of
by the complex conjugate of the denominator, -2+9i.
![\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{\left(-2-9i\right)\left(-2+9i\right)}) \\](https://tex.z-dn.net/?f=%20%5Clarge%20%5Cbf%20%5C%3A%20Re%28%5Cfrac%7B%5Cleft%285-3i%5Cright%29%5Cleft%28-2%2B9i%5Cright%29%7D%7B%5Cleft%28-2-9i%5Cright%29%5Cleft%28-2%2B9i%5Cright%29%7D%29%20%20%5C%5C%20)
Multiplication can be transformed into difference of squares using the rule:
.
![\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{\left(-2\right)^{2}-9^{2}i^{2}}) \\](https://tex.z-dn.net/?f=%20%5Clarge%20%5Cbf%20%5C%3A%20Re%28%5Cfrac%7B%5Cleft%285-3i%5Cright%29%5Cleft%28-2%2B9i%5Cright%29%7D%7B%5Cleft%28-2%5Cright%29%5E%7B2%7D-9%5E%7B2%7Di%5E%7B2%7D%7D%29%20%20%5C%5C%20)
By definition, i² is -1. Calculate the denominator.
![\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{85}) \\](https://tex.z-dn.net/?f=%20%5Clarge%20%5Cbf%20%5C%3A%20Re%28%5Cfrac%7B%5Cleft%285-3i%5Cright%29%5Cleft%28-2%2B9i%5Cright%29%7D%7B85%7D%29%20%20%5C%5C%20)
Multiply complex numbers 5-3i and -2+9i in the same way as you multiply binomials.
![\large \bf \: Re(\frac{5\left(-2\right)+5\times \left(9i\right)-3i\left(-2\right)-3\times 9i^{2}}{85}) \\](https://tex.z-dn.net/?f=%20%5Clarge%20%5Cbf%20%5C%3A%20Re%28%5Cfrac%7B5%5Cleft%28-2%5Cright%29%2B5%5Ctimes%20%5Cleft%289i%5Cright%29-3i%5Cleft%28-2%5Cright%29-3%5Ctimes%209i%5E%7B2%7D%7D%7B85%7D%29%20%20%5C%5C%20)
Do the multiplications in
.
![\large \bf \: Re(\frac{-10+45i+6i+27}{85}) \\](https://tex.z-dn.net/?f=%20%5Clarge%20%5Cbf%20%5C%3A%20Re%28%5Cfrac%7B-10%2B45i%2B6i%2B27%7D%7B85%7D%29%20%20%5C%5C%20)
Combine the real and imaginary parts in -10+45i+6i+27.
![\large \bf \: Re(\frac{-10+27+\left(45+6\right)i}{85}) \\](https://tex.z-dn.net/?f=%20%5Clarge%20%5Cbf%20%5C%3A%20Re%28%5Cfrac%7B-10%2B27%2B%5Cleft%2845%2B6%5Cright%29i%7D%7B85%7D%29%20%20%5C%5C%20)
Do the additions in
.
![\large \bf Re(\frac{17+51i}{85}) \\](https://tex.z-dn.net/?f=%20%5Clarge%20%5Cbf%20Re%28%5Cfrac%7B17%2B51i%7D%7B85%7D%29%20%20%5C%5C%20)
Divide 17+51i by 85 to get
.
![\large \bf \: Re(\frac{1}{5}+\frac{3}{5}i) \\](https://tex.z-dn.net/?f=%20%5Clarge%20%5Cbf%20%5C%3A%20Re%28%5Cfrac%7B1%7D%7B5%7D%2B%5Cfrac%7B3%7D%7B5%7Di%29%20%20%5C%5C%20)
The real part of
is
.
![\large \boxed{\bf\frac{1}{5} = 0.2} \\](https://tex.z-dn.net/?f=%20%20%5Clarge%20%20%5Cboxed%7B%5Cbf%5Cfrac%7B1%7D%7B5%7D%20%3D%200.2%7D%20%5C%5C%20)