Answer:
Area A = 12 = 1/2 × x × (5x-2)
5x^2 - 2x -24 = 0
Solution;
Base x = 2.4
Height h = 10 ft
Step-by-step explanation:
Given;
base of the triangle is x feet;
Base = x
The height of a triangle is 2 less than 5 times it's base;
Height = 5x - 2
the area of the triangle is 12 square feet;
Area A = 12 ft^2
The area of a triangle is;
Area A = 1/2 × base × height
Substituting the base and height;;
Area A = 1/2 × x × (5x-2)
Area A = 1/2 × (5x^2 - 2x)
Area A = 12
12 = 1/2 × (5x^2 - 2x)
Multiply through by 2.
24 = (5x^2 - 2x)
5x^2 - 2x -24 = 0
Solving the simultaneous equation;
x = 2.4 or -2
Since the base cannot be negative;
x = 2.4 ft
Height h = 5x -2 = 5(2.4) - 2 = 12 - 2 = 10 ft
Base x = 2.4
Height h = 10 ft
Answer:
A) 5/6
B) -67/30 (or) -2 7/30
A) -9/2 (or) -4 1/2
Step-by-step explanation:
A) 2/3(5)-5/2=3 1/3-5/2 = 10/3-5/2 = 20/6-15/6= 5/6
B) 2/3(2/5)-5/2= 4/15-5/2 = 8/30-75/30 = -67/30
A) 2/3(-3)-5/2=-2-5/2= -4 1/2
The number is multiplied by 3 every time
and next three terms are 1/324, 1/972 and 1/2916
good luck
The figure on the left side shows the water level is at the 0.5 liter mark, ie half a liter.
1 liter = 1000 mL
0.5*1 liter = 0.5*1000 mL
0.5 liter = 500 mL
If you poured all the water into the jug on the right (without spilling), then the water level should reach the 500 mL mark. This is the small tickmark exactly halfway between the 400 and 600.
