Sam can paint a house in 8 hours. joe can paint the same house in 4 hours. how long does it take them to paint the house together? round to 1 decimal place.

it takes themApproximately 2.7 hours to paint the house together

Step-by-step explanation:

Sam can paint a house in 8 hours. This means that sam's unit rate of working is 1/8

Joe can paint the same house in 4 hours.

This means that Joe's unit rate of working is 1/4

If they work together, it would take them lesser time because they are working simultaneously. This means that their unit rates are additive. Combining their unit rates, it becomes

1/8 + 1/4 = 3/8

Assuming that if they work together, it will take them t hours. Therefore, Their unit rate of working will be 1/t.

Therefore,

3/8 = 1/t

3t = 8

t = 8/3 = 2.667

Approximately 2.7 hours

2.7

Step-by-step explanation:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).