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1. can two acute angles form a linear pair ? 2. can two obtuse angles form a linear pair? 3.can two right angles form a linear pair?

1. No, two acute angles cannot form a linear pair because their sum of angles is less than 180 degree.... View Article

Village x has a population of 68000 which is decreasing at the rate of 1200 per year. Village y has a population of 42000, which is increasing at the rate of 800 per year. In how many years will the population of two villages be equal

Assume the numbers of years = x For village x Initial population = 68000 Decrease in one year = 1200... View Article

Find six rational number between 2 and 3

Let the first number 2 = a And ending number 3 = b Number of rational numbers to find =... View Article

125 crore in number:

125 crore in number is 1,25,00,00,000 125 crore = 1250 Million

Prove that: 2cosx cosy= cos(x+y) + cos (x-y)

Given, 2cosx cosy= cos(x+y)+cos (x-y) Taking RHS, we have; RHS = cos(x+y)+cos (x-y) …..(i) By trigonometric identities, we can write;... View Article

The denominator of the rational number 0 is: (a) 0 (b) 1 (c) -1 (d) any non-zero integer

Answer: (d) any non-zero integer

Find 12 rational number between -1 and 2.

We need to find 12 rational numbers greater than -1 and smaller than 2. The difference between 2 and -1... View Article

5/2x=-5. Solve the equation.

5/2.x = -5 Multiply both the sides by 2 (2).(5/2)x = -5 (2) 5 x = -10 Dividing both the... View Article

Prime factorization of 1000

Prime factorization of 1000 = 2 × 2 × 2 × 5 × 5 × 5 or 23 × 53

How to solve 8x+4=3(x-1)+7 ?

8x+4=3(x-1)+7 8x + 4 = 3x – 3 + 7 8x + 4 = 3x + 4 Subtracting both the... View Article

Calculate the area of a triangle with vertices (1,1),(3,1) and (5,7).

Given, the vertices of triangle are (1,1),(3,1) and (5,7). By the formula of area of triangle when coordinates of... View Article

What must be subtracted from -1 to get -6?

We need to subtract 5 from -1, to get -6. -1 – 5 = -6

Prove that (cotA-cosA)/(cotA+cosA) = (cosecA-1)/(cosecA+1)

By taking the LHS, \(\begin{array}{l}\frac{\cot A-\cos A}{\cot A+\cos A}\end{array} \) \(\begin{array}{l}=\frac{\frac{\cos A}{\sin A}-\cos A}{\frac{\cos A}{\sin A}+\cos A}\end{array} \) \(\begin{array}{l}=\frac{\cos A\left(\frac{1}{\sin... View Article

Simplify 3/7+1/21-1/14.

(3/7) + (1/21) – (1/14) LCM of (7, 14, 21) = 42 Thus, making the denominators same we get; =... View Article

Solve 8x + 3 = 27 + 2x

8x + 3 = 27 + 2x Subtract 3 from both the sides. 8x + 3 – 3 = 27... View Article

The inner circumference of a circular track is 440 cm. the track is 14 cm wide. Find the diameter of the outer circle of the track.

Let the inner radius of the circular track is r. Circumference of inner track is; 2πr = 440 r =... View Article

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