Answer:
Step-by-step explanation:
diameter=7.3cm
radius=
=
=3.65cm
angle =120°
area=
× 
=
×
×
=
≅
log(3) = log(12/4)
Use the quotient rule [
] to simplify.
log(12/4) = log(12) - log(4)
Simplify using the given values for 12 and 4.
1.079 - 0.602
0.477
Therefore, log(12) ≈ 0.477
Best of Luck!
First, we can choose the seats for the four mathematicians. Then we seat the physicits, then the engineer. There are 4! ways to seat the mathematicians, then 3! ways to seat the physicists, then 1! ways to seat the engineer. But then we must divide by 8, because we can rotate the table, so there are 8!*4!*3!/8 = 725760 ways to seat everyone.
Answers with Explanation.
i. If we raise a number to an exponent of 1, we get the same number.

ii. If we raise 10 to an exponent of 2, it means we multiply 10 by itself two times.

iii. If we raise 10 to an exponent of 3, it means we multiply 10 by itself three times.

iv. If we raise 10 to an exponent of 4, it means we multiply 10 by itself four times.

v. If we raise 10 to an exponent of 5, it means we multiply 10 by itself five times.


vi. Recall that,

We apply this law of exponents to obtain,

vii. We apply

again to obtain,