Answer:
Considering the Law of Cosines:
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.
Answer:
c=3
Step-by-step explanation:
Angle sum of a triangle is 180°
(19c+16)°+13c°+(17c+17)°=180°
collect the like terms i.e
19c+13c+17c+16+17=180°
49c°+33°=180°
49c°=180°-33°
49c°=147
dividing by 49 both sides
49c/49=147/49
c=3
Answer: 16 miles
Step-by-step explanation:
The car used 1/64 gallons to travel 1/4 miles. To find out how many miles the car can travel using 1 gallon, use direct proportion:
1/64 gallons : 1/4 miles
1 gallon : x miles
Cross multiply:
1/64x = 1/4
x = 1/4 ÷ 1/64
= 1/4 * 64/1
= 16 miles
On one gallon of gas, the car can travel 16 miles.
