Assume that
a and b = the two legs of the right triangle.
c = the hypotenuse.
The area of the right triangle is 750 yd², therefore
(1/2)*a*b = 750
ab = 1500 (1)
The perimeter is 150yd, therefore
a + b + c = 150 (2)
Let the side fenced with wood be a, at $5/yd. Sides b and c are fenced with steel at $10/y. The total cost is $1200, therefore
5a + 10b + 10c = 1200
or
a + 2b + 2c = 240 (3)
From (2), obtain
c = 150 - a - b (4)
Substitute (4) into (3)
a + 2b + 2(150 - a - b) = 240
-a + 300 = 240
a = 60
From (1), obtain
60b = 1500
b = 25
From (4), obtain
c = 150 - 60 - 25 = 65
Answer:
A. The length of the leg fenced with wood is 60 yd.
B. The length of the leg fenced with steel is 25 yd.
Slope = (9/2 + 1) / (-2 + 5/3)
11/2
= ----------
-1/3
= 11/2 (-3/1)
= -33/2
or
= -16.5
Answer:
Step-by-step explanation:
A=b×h
A=12×10
A=120
The anwser is 120 sq centimeters
Answer:
Length = 12
Width = 6
Step-by-step explanation:
Width = 6 miles less than length;
L = L
W = L - 6
Area = 72 ft²
Area = Length * width
Area = (L * L-6)
Area = L² - 6L
-
L² - 6L = 72
L² - 6L - 72 = 0
L² - 12L + 6L - 72 = 0
L(L - 12) +6(L - 12) = 0
L = 12 or L = - 6
L cannot be negative
Width = L - 6
Width = 12 - 6 = 6
Hence,
Dimension of rectangle :
Length = 12
Width = 6
