The change of base formula looks like this:
log x
(log to the base b of ) x = ----------- (you could also use ln instead of log)
log b
log 40 1.602
Then (log to the base 7 of) 40 = ------------ = ------------- = 1.896 (answer)
log 7 0.8451
check (on calculator): 7^1.896 = 40.023 (close enough to 40 to verify
that this method "worked")
Answer:
, Terminating
Step-by-step explanation:
Mackenzie has 32 books and 12 of which are by her favorite author.
One of the easier ways to convert something to a decimal is to first start as a fraction. We need to have it be the number of books by her favorite author (12) out of the total number of books that she owns (32)
This in the form of a fraction would be 
Now, let us reduce this fraction.
Both terms can be divided by 4

Recall that 
This means that

As you can see. this decimal stops after 3 places, which means that it is terminating.
Answer: Around 68.0858 m
Step-by-step explanation:
- Set the height of 37°-53°-90° triangle as x
- Set the height of 50°-40°-90° triangle as y
- The horizontal side both triangles share = 35
To find x To find y

To find the height of the building, add the x-value and y-value:
<em>I hope this is correct o_o</em>
Answer:
choice 3) 11,488.21 cm³
Step-by-step explanation:
r= 28/2 = 14
volume = 4/3πr3 = 4/3(3.14)(14³) = 11,488.21 cm³
Answer:
95-9 (3+7)
95-9 (10)
86 (10)
= 8600
Step-by-step explanation:
I hope this was helpful!
God bless you!