The answer will be 40 feet because w = 10 feet’s so it will decrease into 100
Answer:
50
Step-by-step explanation:
Because of supplementary angles that line has to equal to 180
180-75 = 105
so 105 = (2x + 5)
you can subtract 5 from each side and get
100 = (2x)
then divide each side by 2 and you get
x = 50
you can check it by doing (2 x 50 + 5)
2 x 50 = 100 + 5 = 105 + 75 = 180
Answer:
=1.23*10^6
Step-by-step explanation:
We have to calculate
(1.93*10^7 )-(9.7*10^6)
In order to add or subtract two numbers in scientific notation, we have to make sure that the power of exponents in both numbers is same.
We have to reduce the power of 10 in first number from 7 to 6
So,
Step 1:
1.93*10^7=1.93*10*10^6
=10.93*10^6
Now,
Step 2:
=(1.93*10^7 )-(9.7*10^6 )
= 10.93*10^6- 9.7*10^6
Step 3:
=(10.93-9.7)*10^6
=1.23*10^6
Answer:
x = 2
Step-by-step explanation:
Taking antilogs, you have ...
2³ × 8 = (4x)²
64 = 16x²
x = √(64/16) = √4
x = 2 . . . . . . . . (the negative square root is not a solution)
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You can also work more directly with the logs, if you like.
3·ln(2) +ln(2³) = 2ln(2²x) . . . . . . . . . . . write 4 and 8 as powers of 2
3·ln(2) +3·ln(2) = 2(2·ln(2) +ln(x)) . . . . use rules of logs to move exponents
6·ln(2) = 4·ln(2) +2·ln(x) . . . . . . . . . . . . simplify
2·ln(2) = 2·ln(x) . . . . . . . . . . . subtract 4ln(2)
ln(2) = ln(x) . . . . . . . . . . . . . . divide by 2
2 = x . . . . . . . . . . . . . . . . . . . take the antilogs
