The length of a rectangle is 8 cm more than 3 times its width. the perimeter of the rectangle is 64 cm. show the equation that would be used to find the dimensions of the rectangle.

let w = the width. then 3(w + 8) = length. so the equation is 64 = 2(3(w + 8)) + 2w.

let w = the width. then 3w = length + 8. so the equation is 64 = 2(3w – 8) + 2w.

let w = the width. then 3w + 8 = length. so the equation is 64 = 2(3w + 8) + 2w. 64 = 2(3w + 8) + 2w

let w = the width. then 3w + 8 = length. so the equation is 64 = (3w + 8) w.

Let w = the width. Then 3w + 8 = length. So the equation is 64 = 2(3w + 8) + 2w.

Step-by-step explanation:

This is the correct answer because it satisfies both parts of the statement.

Firstly, we know that the length is 3 times the width plus 8. This gives us that answer. Those with the parenthesis would need to be distributed and would actually wind up being 3w + 24. Therefore those are not correct.

Also, the equation for perimeter is 2l + 2w. If we use that formula and put in the value we have above for length, we get the correct answer.

the equation for this situation is y=122+45. to solve the equation you would add 45 and 122 to get a total of 167lbs. in conclusion, grace's weight eight weeks ago was 167lbs.  

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).