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What is the root value of 35?

Square root of 35, √35 is 5.91607... 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... View Article

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 is: 2 - (-1) = 3 Now, we need to divide... 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 sides by 5, we get; 5x/5 = -10/5 x = -2... View Article

Prime factorization of 1000

Prime factorization of 1000 = 2 × 2 × 2 × 5 × 5 × 5 or 23 × 53... View Article

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 sides by 4 8x = 3x 8x - 3x = 0 5x = 0 x = 0... 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 vertices are given, we... View Article

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

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

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

By taking the LHS, Hence, proved.... 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; = (18 + 2 - 3)/42 = 17/42... View Article

Solve 8x + 3 = 27 + 2x

8x + 3 = 27 + 2x Subtract 3 from both the sides. 8x + 3 - 3 = 27 + 2x - 3 8x = 24 + 2x Subtract 2x from both the sides. 8x - 2x = 24 + 2x -... 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 = 440×7/44 = 70 m. Radius of... View Article

Find the additive inverse of the – 6

The additive inverse of - 6 is +6. -6 + 6 = 0... View Article

Find mean of first 10 even natural number.

The first 10 even natural numbers are: 2,4,6,8,10,12,14,16,18,20 Mean = Sum of observations/Total number of observations Mean =... View Article

Calculate the value of x in the given figure.

Construct a line CD to meet the line AB at point E. From the figure, in triangle BDE, ∠CDB = ∠CEB + ∠DBE ... View Article

A woman starts from her home at 900 am walks walks with a speed of 5 km h-1 on a straight road up to her office 2.5 km away, stays at the office up to 5.00 pm, and returns home by an auto with a speed of 25 km h-1. Choose suitable scales and plot the x-t graph of her motion.

Given, Speed of the woman = 5 km/h Distance of office from home = 2.5 km As we know, Time Taken = Distance / Speed = 2.5/5... View Article