Answer:
Let the tens digit of the required number be x and the units digit be y. Then,
x+y=12 .........(1)
Required Number = (10x+y).
Number obtained on reversing the digits = (10y+x).
Therefore,
(10y+x)−(10x+y)=18
9y−9x=18
y−x=2 ..........(2)
On adding (1) and (2), we get,
2y=14⟹y=7
Therefore,
x=5
Hence, the required number is 57.
Step-by-step explanation:
Hope it is helpful...
1.65
1.65
1.65
4.95
all together they have that much :). I hope this helped!
Answer:
(x-3)(x-2)
Step-by-step explanation:
x^2-5x+6
x^2-2x-3x+6
x(x-2)-3(x-2)
(x-3)(x-2)
9514 1404 393
Answer:
491,400 ft·lb
Step-by-step explanation:
The mass of the water is ...
M = Vρ = LWHρ = (25 ft)(15 ft)(7 ft)(62.4 lb/ft³) = 163,800 lb
The average depth is 3 ft, so the work required is equivalent to that required to raise this mass 3 ft.
W = (3 ft)(163,800 lb) = 491,400 ft·lb
Answer:
36 cm²
Step-by-step explanation:
Area of a parallelogram = base x height
So area of parallelogram ABCD = BC x AM
To calculate the length of AM, use Pythagoras' Theorem a² + b² = c²
(where a and b are the legs and c is the hypotenuse of a right-angled triangle).
So using this theorem: BM² + AM² = AB²
⇒ 3² + AM² = 5²
⇒ AM² = 16
⇒ AM = √16 = 4 cm
(positive solution only as length cannot be negative)
Therefore, area of parallelogram ABCD = (3 + 6) x 4 = 9 x 4 = 36 cm²
