Answer:
15 sqrt 2
Step-by-step explanation:
Use Pythagorean Theorem
a^2 + b^2 = c^2
15^2 + 15^2 = c^2
225 + 225 = 450
Find prime factors of the sq rt of 450
450 = 2 * 3 * 3 * 5 * 5
15 sqrt 2
Answer:
Z = 2
Step-by-step explanation:
This tape diagram is split into two equal parts.
Since 2 and 2 are equal, and since 2 and 2 have a sum of 4, then z is equal to 2.
The value of x will be equal to 2.477.
<h3>What is a logarithm?</h3>
The logarithm is the inverse function of exponentiation in mathematics. That is, the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised in order to obtain that number x.
The given expression will be solved as follows;-

Taking Log on both sides.

(x-2) Log5 = Log 8
( x-2) = Log8 / Log 5
(x - 2) = Log 8 - Log 5
(x - 2 ) = Log 3
x-2 = 0.477
x = 2.477
Therefore the value of x will be equal to 2.477.
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I believe that the question is assuming this is taking place over one month here is what I think you would do.
1) 75/12.5 = 6
2) add that answer to 75, so 75+6, and you get 81
Answer: $6,000
Step-by-step explanation: If set up correctly, the value of the car at the end of 2006 times 0.6 (because the car is losing 0.4 of its value, so it keeps 0.6 of its value) should get you the value of the car at the end of 2007.
The equation should look like this:
(value of the car at the end of 2006) x 0.6 = (value of the car at the end of 2007)
Then you substitute: (value at the end of 2006) x 0.6 = 3600
Then divide: (value at the end of 2006) = 0.6 ÷ 3600
Then substitute again: (value at the end of 2006) = 6,000
Hope this helped you! Feel free to ask me any questions!