Answer:
It is rotated by 72 degrees.
Step-by-step explanation:
- Since it is a regular polygon,
when u connect all the corners of it to the middle of the polygon, they will meet at a point i.e, CENTER.
- The sum of the angles subtended by all the sided at the center will be 360 degrees.
- As there are 60 sides, the angle subtended by each side at the center will be 6 degrees.
Because,

- As the polygon rotates every minute and it is rotated for 12 minutes,
( For every minute, it will be rotated by 6 degrees.
so, for 12 minutes it should be rotated by 12 times 6 ( 12*6) = 72 degrees)
- So, after 12 minutes it will be rotated by 72 degrees.
Answer:
3^3 is bigger
Step-by-step explanation:
4^2=16
3^3=27
Acute. 90 degrees is a right angle, 180 degrees is a straight angle, obtuse angles are greater than 90 degrees, while acute are less than 90 degrees.
Answer:
The statement
is a tautology.

Step-by-step explanation:
We have the following statement:

To reduce the statement to a tautology we need to use the table of logical equivalences as follows:

by the the logical equivalence involving conditional statement.
by the the logical equivalence involving conditional statement.
by the Associative law.
by the Negation law.
by the Domination law.
If f(x) = 5x - 16, then value of f(9) is 29
<em><u>Solution:</u></em>
Given function is f(x) = 5x - 16
We are asked to find the value of f(9)
To find the value of f(9), we have to substitute x = 9 in given function and solve the function
Therefore, substitute x = 9
f(x) = 5x - 16
f(9) = 5(9) - 16
Multiply 5 with 9 which gives 45
f(9) = 45 - 16
Subtract 16 from 45
f(9) = 29
Thus value of f(9) is 29