Mr Thomas wants to protect his garage by installing a flood barrier. He connects 2 barriers side by side. Each barrier is 9 feet long by 2 feet high. What is the combined are or the barriers??

36 square feet,

Step-by-step explanation:

Given:

Mr Thomas wants to protect his garage by installing a flood barrier.

He connects 2 barriers side by side

Each barrier is 9 feet long by 2 feet high ( breadth)

Question asked:

What is the combined area of the barriers ?

Solution:

Length of each barrier = 9 feet

As he connects 2 barriers side by side, the length will be doubled but height (breadth) will be unchanged.

Total length of two barriers = 9 + 9 = 18 feet

Height (breadth) of the barriers = 2 feet

By using, Area of rectangle =

                                              =

Therefore, combined area of the barriers is 36 square feet,

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

a28=58

step-by-step explanation:

a1=a1+(n-1)d

a28= 4+ (28-1)2

a28=4+(27)(2)

a28=4+54

a28=58