Answer:
4a. S = 300c
4b. S = 2400
Step-by-step explanation:
4a. There are 300 seats in a conference room 'c' so to find the amount of seats there are in total you need to times these values so...
S = 300c
4b. substituting 8 into c gets
S = 300x8
S = 2400
hope this helps!
Answer:

Step-by-step explanation:
Given
← factorise numerator and denominator
2x² - 18 ( factor out 2 from each term )
= 2(x² - 9) ← difference of 2 squares
= 2(x - 3)(x + 3)
and
x² + 4x - 21 = (x + 7)(x - 3) , then
=
← cancel common factor (x - 3) on numerator/ denominator
= 
Answer:
Least common denominator of 2 and 8: 8
5 x 1 = 5
8 x 1 = 8
1 x 4 = 4
2 x 4 = 8
Step-by-step explanation:
5/8 and 1/2 are not equivalent; the wording is weird on this question, it almost makes it sound as if it wants you to make 5/8 and 1/2 equivalent fractions.
I assume it only wants you to set it up so that in part 2 you will be able to easily figure out how much wire Mr. Barber has used total. Which will be 9/8 yards, by the way. Alternatively, 1 1/8 yards.
Given:
and
are complementary angles.

To find:
The measure of
.
Solution:
According to the definition of the complimentary angles, the sum of two complementary angles is always 90 degree.
It is given that,
and
are complementary angles. So,




Therefore, the measure of
is 58°.
Answer: The length of the shorter side of a golden rectangle is about 24.7 inches.
Step-by-step explanation:
Given : A golden rectangle has side lengths in the ratio of about 1 to 1.62.
Since 1.62 > 1 , so

If the length of the longer side is 40 inches , then we have

Hence, the length of the shorter side of a golden rectangle is about 24.7 inches.