Answer:
a. 
b. 
Step-by-step explanation:
a. 
A mixed fraction of the form 



b. 
A mixed fraction of the form 




Hence, the answer.
Answer:
log2 10 = 3x
Step-by-step explanation:
Basic Logarithm Tenets
Answer:
x = 45
Step-by-step explanation:
Straight line has 180 degrees; so if you add all the angles up:
2x + x + x = 180
4x = 180
x = 45 degrees
Answer:
The expression
represents the number
rewritten in a+bi form.
Step-by-step explanation:
The value of
is
in term of ![i^{2}[\tex] can be written as, [tex]i^{4}=i^{2}\times i^{2}](https://tex.z-dn.net/?f=i%5E%7B2%7D%5B%5Ctex%5D%20can%20be%20written%20as%2C%20%3C%2Fp%3E%3Cp%3E%5Btex%5Di%5E%7B4%7D%3Di%5E%7B2%7D%5Ctimes%20i%5E%7B2%7D)
Substituting the value,

Product of two negative numbers is always positive.

Now
in term of ![i^{2}[\tex] can be written as, [tex]i^{3}=i^{2}\times i](https://tex.z-dn.net/?f=i%5E%7B2%7D%5B%5Ctex%5D%20can%20be%20written%20as%2C%20%3C%2Fp%3E%3Cp%3E%5Btex%5Di%5E%7B3%7D%3Di%5E%7B2%7D%5Ctimes%20i)
Substituting the value,

Product of one negative and one positive numbers is always negative.

Now
can be written as follows,

Applying radical multiplication rule,


Now,
and 

Now substituting the above values in given expression,

Simplifying,

Collecting similar terms,

Combining similar terms,

The above expression is in the form of a+bi which is the required expression.
Hence, option number 4 is correct.
<u>Given</u><u> </u><u>Information</u><u> </u><u>:</u><u>-</u>
⠀
- A polygon with 10 sides ( Decagon )
⠀
<u>To</u><u> </u><u>Find</u><u> </u><u>:</u><u>-</u>
⠀
- The value of one of the exterior angles
⠀
<u>Formula</u><u> </u><u>Used</u><u> </u><u>:</u><u>-</u>
⠀

⠀
<u>Solution</u><u> </u><u>:</u><u>-</u>
⠀
Putting the given values, we get,
⠀

Thus, the value of the exterior angles of a Decagon is 36°.
⠀
