You can convert (1/625) to an exponent, and it would be ideal to have 5 as the base of it because you want your log base to cancel it out. what i usually do in this case is just test out 5^1, 5^2, etc until i find one that matches the number i need. in this case because the number you're trying to work with is a small fraction, you'll want to use NEGATIVE exponents so it'll create a fraction instead of a large whole number:
5^-1 = 1/5
. . . keep trying those. . .
5^-4 = 1/625
so, because they're equal to one another, it'll be waaay easier after you substitute 5^-4 in place of 1/625
x = log₅ 5⁻⁴
log base 5 of 5 simplifies to 1. subbing in the 5^-4 gets rid of the log for you altogether, and your -4 exponent drops down:
x = -4 is your answer
if the exponent dropping down doesn't make sense to you, you can think of it in another way:
x = log₅ 5⁻⁴
expand the expression so that the exponent moves in front of the log function:
x = (-4) log₅ 5
then, still, log base 5 of 5 simplifies to 1, so you're left with:
x = (-4)1 or x = -4
The area of circle's sector is A= (1/2) x Txr²
where Teta = <span>42 degrees = 42/180Pi= 7Pi /30
r= 30/2= 15ft, r²= 125
so the areo of the slice of pie that was cut is A= (</span>7Pi <span>/60 ) x 125= 45.79 ft²</span>
Answer:
B
Step-by-step explanation:
Because to find out if two triangles are similar you need an ASA which can help determine if they are similar or not.
1. P(getting all head)=
2. Event: getting all head can happen in only one way: HHH
3. n(Sample space) can be calculated by
a. counting, a good ways to organize counting is drawing a tree diagram, CHECK THE PICTURE
or
b. There are 2 possible outcomes each time we throw the dice so 2*2*2=8 is the total number of outcomes, that is the number of the sample space.
4. So finally P(getting all head)=
You just have to reverse the operations
1. -48-8= -56
2. -56/3= -18.66
ANSWER = -18.66