Complete the pattern: 8, 3, -2, -7 _, _.
This series is in decreasing order of 5. Though, 8-5=3 3-5=-2 -2-5=-7 therefore, -7-5 = -12 -7-5 = – 12... View Article
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Find the square root of 1764 by prime factorization method
Answer: The square root of a number is the value that returns the original number multiplied by itself. Finding square... View Article
Which natural numbers have no predecessor (a) 0 (b) 1 (c) 10 (d) 100
Answer: (b) 1 1 is the natural number that has no predecessor. Explanation A number that comes before the given... View Article
Prove that sin10.sin30.sin50.sin70 = 1/16
We have to prove sin 10 sin30 sin50 sin 70= 1/16 Solution Let us start with LHS (1/2)sin10*sin50*sin70 = (1/4)sin20*sin50*sin70/cos10... View Article
Rasheb starts for a wedding venue at 6 pm and drives at a speed of 60 km/hr. Ramesh starts for the same venue at 6.30 pm. and drives at a speed of 75 km/hr When will both reach the venue. provided they reach at the same time?
Given Rasheb starts for a wedding venue at 6 pm and drives at a speed of 60 km/hr. Ramesh starts... View Article
Explain the structure of cone
A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a... View Article
Find the cube root of 8000
We will find the cube root of 8000 by prime factorisation Solution Prime factorisation of 8000 is Firstly let us... View Article
Prove that 1/secA-tanA – 1/cosA = 1/cosA – 1/secA + tanA
To Prove \(\begin{array}{l}\frac{1}{\sec A -\tan A}- \frac{1}{\cos A} = \frac{1}{\cos A} – \frac{1}{\sec A + \tan A}\end{array} \) Proof \(\begin{array}{l}\frac{1}{\sec... View Article
Expand (a + b)^3
The formula for (a+b)3 is given below (a + b)3 = a3 + 3a2b + 3ab2 + b3 In short... View Article
Prove that sin (90-theta)cos (90-theta) = tan theta / 1 + cot^2 (90 – theta)
We have to prove Sin (90-theta )cos (90-theta) = tan theta / 1 + cot^2 (90 – theta) Solution Sin... View Article
By what number should -44/9 be divided to get -11/3?
By what number should -44/9 be divided to get -11/3 Solution Let the number to be divided from -44/9 to... View Article
Express 3/40 in decimal form
To convert into decimal divide the numerator by denominator. 3/40 On dividing 3 by 4o we get 3/40=0.075 Answer 3/40-0.075
Find the mean of the first five multiples of 3.
The first five multiples of 3 are 3,6,9,12 and 15.
Evaluate sin45 + cos45
We have to evalute sin 45 + cos 45 We know the values of these two terms Sin 45° =... View Article
What should be subtracted from -3/4 to get -5/6?
Let us assume that x must be subtracted from -3/4 to get -5/6. Solution \(\begin{array}{l}-\frac{3}{4}-x=-\frac{5}{6}\end{array} \) =\(\begin{array}{l}-x= -\frac{5}{6}+\frac{3}{4}\end{array} \) =... View Article
Mention the predecessor and successor of the numner 21
A whole number that comes before the given number is recognized as a predecessor. A whole number that comes after... View Article
Find four rational number between 1/2 and 3/4
Answer: A rational number, in Mathematics, can be defined as any number which can be represented in the form of... View Article
What is the next number in the series 3, 15, 35, 63, 99….?
3,15,35,63,99_ we have to find the next number Solution 3,15,35,63,99_ To find the next number we have to find the... View Article
Solve this question (-36)/(-9)
Solve (-36)/(-9) Solution (-36)/(-9) These are two integers. As per the division rule for integers The quotient of two negative... View Article
Find the product of the following 1(1/2) x 3(1/3) x 4
We have to find the product of the given expression 1(1/2) x 3(1/3) x 4 Solution 1/2 x 3/3 x... View Article
