Simplify the following:
1/3 - 1/6 + 4/18
The gcd of 4 and 18 is 2, so 4/18 = (2×2)/(2×9) = 2/2×2/9 = 2/9:
1/3 - 1/6 + 2/9
Put 1/3 - 1/6 + 2/9 over the common denominator 18. 1/3 - 1/6 + 2/9 = 6/18 - 3/18 + (2×2)/18:
6/18 - 3/18 + (2×2)/18
2×2 = 4:
6/18 - 3/18 + 4/18
6/18 - 3/18 + 4/18 = (6 - 3 + 4)/18:
(6 - 3 + 4)/18
6 + 4 = 10:
(10 - 3)/18
10 - 3 = 7:
Answer: 7/18
Answer:
Figure A,B
Step-by-step explanation:
Recognize that these are isosceles right triangles, so the legs are equal and the hypotenuse is √2 times the leg length.
1. x=9, y=9√2
3. x=20, y=20√2
Answer:
- area: 240 ft^2
- bases: 20 ft, 10 ft
- height: 16 ft
Step-by-step explanation:
Apparently, 4/5 of a gallon is used, so covers ...
(4/5)(300 ft^2) = 240 ft^2
The area of the trapezoid is 240 square feet.
__
The short base of the trapezoid is half the length of the longer base, so is ...
(1/2)(20 ft) = 10 ft
The lengths of the bases are 20 ft and 10 ft.
__
The area formula for the trapezoid is ...
A = (1/2)(b1 +b2)h
Filling in the numbers we know, we can find h.
240 = (1/2)(20 +10)h
240 = 15h . . . . . simplify
16 = h . . . . . . . . . divide by 15
The height of the trapezoid is 16 feet.
Answer:
six million
Step-by-step explanation:
