Answer:
The diameter is 47
Step-by-step explanation:
Given
--- Circumference

Required
Determine the diameter (d)
The circumference of a circle is:

Make d the subject



Answer:
The number of pair of gym shoes does Mr. king has is 27 pairs .
Step-by-step explanation:
Given as :
Total number of pairs of shoes does king has = 36 pairs
The number of gym shoes =
of the total pairs of shoes
Let The number of pair of gym shoes = n
<u>According to question</u>
The number of gym shoes =
× the total pairs of shoes
Or, n =
× 36
i.e n = 
Or, n = 3 × 9
∴ n = 27
So, The number of pair of gym shoes = n = 27 pairs
Hence, The number of pair of gym shoes does Mr. king has is 27 pairs . Answer
Given:
There are given that the cos function:

Explanation:
To find the value, first, we need to use the half-angle formula:
So,
From the half-angle formula:

Then,
Since 105 degrees is the 2nd quadrant so cosine is negative
Then,
By the formula:

Then,
Put the value of cos210 degrees into the above function:
So,

Final answer:
Hence, the value of the cos(105) is shown below: