If the diagonal of a rectangle is 17cm long and its perimeter is 46 cm. Find the area of the rectangle.
let length = x and breadth = y then
2(x+y) = 46 x+y = 23
x²+y² = 17² = 289
now (x+y)² = 23²
289+ 2xy = 529
xy = 120
area = xy = 120 sq.cm
The weight of an object will be minimum when it is placed at ?
The weight of an object is minimum when it is placed at the center of the earth because when an object is in the center, it experiences gravitational pull from all directions.
How many cubes of 3cm edge can be cut out of a cube of 18cm edge
number of cubes=(18 x 18 x 18) / (3 x 3 x 3) = 216
Microsoft Office is an example of a________
A sum of money amounts to Rs.6690 after 3 years and to Rs.10,035 after 6 years on compound interest.find the sum.
Let the sum be Rs.P.thenP(1+R/100)^3=6690…(i) and P(1+R/100)^6=10035…(ii)On dividing,we get (1+R/100)^3=10025/6690=3/2.Substituting this value in (i),we get:P*(3/2)=6690 or P=(6690*2/3)=4460Hence,the sum is rs.4460.
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