Solve the equation : 8+10^x=1008
1 answer:
Hi there.
I'm just going to put the answer for now. I might come back and edit my answer if I figure out how to solve this the long way.
All I did was figure out what exponent you raise 10 to.
10³ = 1000
So, we now have 8 + 10³ = 1008
Edit:
I did it on paper - here it is broken down.
8 +
= 1008
Subtract 8 from both sides.
= 1000
We know that 10³ = 1000
<em>x</em> = 3
~
I'm just going to put the answer for now. I might come back and edit my answer if I figure out how to solve this the long way.
All I did was figure out what exponent you raise 10 to.
10³ = 1000
So, we now have 8 + 10³ = 1008
Edit:
I did it on paper - here it is broken down.
8 +
Subtract 8 from both sides.
We know that 10³ = 1000
<em>x</em> = 3
~
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Step-by-step explanation:
Well in general, we can represent subtraction as:
"z" represents the difference, and it really just represents x with y taken away. So if we were to "give back" this y value, we should get "x".
This means that:
So one way to check, is adding the value that's being subtracted (y value) and the difference (z value), this should get you the value that is being subtracted from (x value). If you don't get the original value that's being subtracted from (x-value) then you know the answer you got is wrong.
Answer:
6.6 cm and 14.6 cm
Step-by-step explanation:
(a)
the length of arc AB is calculated as
AB = circumference of circle × fraction of circle
= 2πr ×
= 2π × 4 ×
= 8π ×
=
≈ 6.6 cm ( to the nearest tenth )
(b)
the perimeter (P) of sector AOB is
P = r + r + AB = 4 + 4 + 6.6 = 14.6 cm