A new sidewalk will be 6 feet wide, 260 feet long, and filled to a depth of 9 inches (0.75 foot) with concrete. How many cubic yards of concrete are needed?

43.29 yard³

Step-by-step explanation:

Given that:

Width = 6 feets

Length = 260 feets

Depth =. 0.75 foot

Volume = length * width * depth

Volume = 6 * 260 * 0.75

Volume = 1,170 feet³

Converting 1170 feet³ to yard³

1 cubic feet = 0.037 cubic yard

Hence,

1,170 feet³ = ( 0.037 * 1170) = 43.29 yard³

Hence, 43.29 yard³ of concrete are needed.

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.