Answer:
2/3
Step-by-step explanation:
Let's solve your equation step-by-step.
9a=(√3)a+2
9a=1.732051a+2
Solve Exponent.
9a=1.732051a+2
log(9a)=log(1.732051a+2)(Take log of both sides)
a*(log(9))=(a+2)*(log(1.732051))
a=(log(1.732051)/log(9))*(a+2)
a=0.25*(a+2)
a=0.25a+0.5(Simplify both sides of the equation)
a−0.25a=0.25a+0.5−0.25a(Subtract 0.25a from both sides)
0.75a=0.5
0.75a/0.75=0.5/0.75
(Divide both sides by 0.75)
a=0.666667
a=2/3
0.666667=2/3
Hope this helps :)
13................Answer:
Step-by-step explanation:
SOLUTION
The fraction given is

To round-off the fraction, we need to convert it to decimal number

Hence
The estimated fraction in decimal will be
Answer:
1. pi/180
2. 180/pi
Step-by-step explanation:
Probability of distinct 3-digits is 1/6.
Probability of both the first digit and the last digit are even numbers is 1/5.
<u>Step-by-step explanation</u>:
Given set of numbers {1,2,3,5,8,9} = 6
Total number of 3-digits can be formed = 6
5
4 = 120.
<u>Probability of the three-digit numbers with distinct digits</u> :
The number of 3-digit numbers with distinct digits = (6
5
4) / (3
2
1) = 20.
P(distinct 3-digits) = no. of distinct 3-digits / Total no.of 3-digits
⇒ 20/120
⇒ 1/6
<u>Probability that both the first digit and the last digit of the three-digit number are even numbers</u> :
The even numbers in the set are 2 and 8 = 2 possibilities.
The number of 3-digits with 1st and 3rd digit are even = (2
6
2) = 24.
P(1st and 3rd digits even)= no. of 1st and 3rd digit even/Total no. of 3-digits.
⇒ 24/120
⇒ 1/5