There are total 5 ways.
we have only one kg of weight so,
2kg = 1kg + 1kg
4kg = 1 + 2 + 1
8kg = 1 + 2 + 4 + 1
16kg = 1 + 2 + 4 + 8 + 1
31kg = 1 + 2 + 4 + 8 + 16
So 5 weights are needed.
Given two lines are parallel
pa+b=2
b=-pa+2..........(1)
3a+b=4
b=-3a+4 ...........(2)
m1 = -p
m2= -3
The condition for the two lines to be parallel is m1=m2
p = 3
Let number of 2 wheelers be 'x'
and 4 wheelers be 'y'
Given total number of vehicles = 200
i.e, x + y = 200 ....(1)
Given total number of wheels = 580
i.e, 2x + 4y = 580 ...(2)
By solving (1)&(2), we get
y = 90
=> x = 110
Therefore, number of two wheelers = 110
number of four wheelers = 90
From the given information in the question
24 ÷ 4 + 6 - 3 x 4
6 + 6 - 12 = 0
175760 =2³ x 2 x 5 x 13³
= 2³ x 2 x 5 x 13³
To make perfect cube, it must be divided by 2 x 5 = 10
Let the number of students in the class be 'x'.
Given if 1 is absent rest of people can be divided into 6 equal parts i.e (x-1)/6.........(1)
And given if 2 are absent rest of people can be divided into 7 equal parts i.e (x-2)/7.....(2)
From (1)&(2), we get
x-1/6 = ((x-2)/7) + 1
=> x = 37.
We know that
Sum of Interior angles of Polygon = 180(n-2)
Sum of Exterior angles of Polygon = 360
so 180(n-2)=2x360
Therefore, by solving we get n=6 sides.
Let the number be x. Then,
- 4x = x + 50
- 5x - 50 = 0
(3x + 10)(x - 5) = 0
x = 5
18 tens 20 ones, the given stateent can be split into
18 tens = 18 x 10 = 180
20 ones = 20 x 1 = 20
Then add both => 180 + 20 = 200
Hence, 18 tens 20 ones = 200.
The Lami's theorem states that " If three forces coplanar and concurrent forces acting on a particle keep it in equilibrium, then each force is proportional to the sine of the angle between the other two and the constant of proportionality is the same." This theorem is derived from the Sine rule of triangles.
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