the answer for this question is cot theta is equal to 24/ 7
Well, we can be sure that whatever the width is, we can call it ' W '. Then, from information in the question, the length of the garden is ' 3W '.
Now, the perimeter of a rectangle is (length + width + length + width). Using the fancy algebra labels I just gave them, that's (3W + W + 3W + W). And now I can go through that, add up all the Ws, and get a total of 8W for the perimeter.
But he question tells us that the perimeter is 24 yards, so 8W = 24 yds.
Divide each side of that equation by 8, and we discover that W = 3 yds. And if THAT's true, then 3W = 9 yds. Bada bing ! We have the dimensions of the garden.
It's 3 yards wide and 9 yards long.
Just for you beautiful!
Use distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
(11,-4) is (x1,y1) and (-12,-4) is (x2,y2)
Plug in and simplify
d = sqrt((-12 - 11)^2 + (-4 - -4)^2)
d = sqrt((-23)^2 + (0)^2)
d = sqrt(529 + 0)
d = sqrt(529)
d = 23 (positive because length cannot be negative) ;)
3j+2t=14 subtract 2t from both sides
3j=14-2t divide both sides by 3
j=(14-2t)/3
...
5j+6t=28, using j found above in this equation yields.
5(14-2t)/3+6t=28 perform indicated multiplication on left side
(70-10t+18t)/3=28 multiply both sides by 3
70-10t+18t=84 combine like terms on the left side
70+8t=84 subtract 70 from both sides
8t=14 divide both sides by 8
t=$1.75, and since j=(14-2t)/3
j=(14-2(1.75))/3
j=$3.50
So a pound of trail mix costs $1.75 and a pound of jelly beans costs $3.50.
You need to multiply 8 by 60 and that gets you 80. It would look like this <span>8*60 = 80x</span>
