Answer:
m=6/7
Step-by-step explanation:
Answer:
7048/637
Step-by-step explanation:
10 8/13 + 4 24/49
138/13 + 220/49
taking LCM
(138*49 + 220*13) / (13*49)
7048 / 637
Answer:
x = 9
Step-by-step explanation:
A line segment parallel to a side of a triangle and intersecting the other 2 sides divides the 2 sides in proportion, that is
= 
= 
( cross- multiply )
8(3x - 20) = 56
24x - 160 = 56 ( add 160 to both sides )
24x = 216 ( divide both sides by 24 )
x = 9
Answer:
-2/3
Step-by-step explanation:
If you use the formula y2-y1/x2-x1 your answer will be -2/3
<em>Answer: h = 120 ft; w = 80 ft </em>
<em></em>
<em>A = 9600 ft^2</em>
<em />
<em>Step-by-step explanation: Let h and w be the dimensions of the playground. The area is given by:</em>
<em></em>
<em>A = h*w (eq1)</em>
<em></em>
<em>The total amount of fence used is:</em>
<em></em>
<em>L = 2*h + 2*w + w (eq2) (an extra distance w beacuse of the division)</em>
<em></em>
<em>Solving for w:</em>
<em></em>
<em>w = L - 2/3*h = 480 - 2/3*h (eq3) Replacing this into the area eq:</em>
<em></em>
<em></em>
<em></em>
<em>We derive this and equal zero to find its maximum:</em>
<em></em>
<em> Solving for h:</em>
<em></em>
<em>h = 120 ft. Replacing this into eq3:</em>
<em></em>
<em>w = 80ft</em>
<em></em>
<em>Therefore the maximum area is:</em>
<em></em>
<em>A = 9600 ft^2</em>
<em />
