Advertisements
Advertisements
प्रश्न
A wire is (7x – 3) metres long. A length of (3x – 4) metres is cut for use. Now, answer the following questions:
- How much wire is left?
- If this left out wire is used for making an equilateral triangle. What is the length of each side of the triangle so formed?
Advertisements
उत्तर
Given, length of wire = (7x – 3) m
And wire cut for use has length = (3x – 4) m
a. Left wire = (7x – 3) – (3x – 4)
= 7x – 3 – 3x + 4
= 7x – 3x – 3 + 4
= (4x + 1) m
b. ∴ Left wire = (4x + 1) m
∴ Perimeter of equilateral triangle = Length of wire left
⇒ 3 × (Side) = 4x + 1
⇒ Side = `(4x +1)/3 = 1/3 (4x + 1) m`.
APPEARS IN
संबंधित प्रश्न
Observe the patterns of digits made from line segments of equal length. You will find such segmented digits on the display of electronic watches or calculators.
If the number of digits formed is taken to be n, the number of segments required to form n digits is given by the algebraic expression appearing on the right of each pattern.
How many segments are required to form 5, 10, 100 digits of the kind −
Use the given algebraic expression to complete the table of number patterns.
| S. No |
Expression |
Terms | |||||||||
| 1st | 2nd | 3rd | 4th | 5th | ... | 10th | ... | 100th | ... | ||
| 1 | 2n - 1 | 1 | 3 | 5 | 7 | 9 | - | 19 | - | - | - |
| 2 | 3n + 2 | 5 | 8 | 11 | 14 | - | - | - | - | - | - |
| 3 | 4n + 1 | 5 | 9 | 13 | 17 | - | - | - | - | - | - |
| 4 | 7n + 20 | 27 | 34 | 41 | 48 | - | - | - | - | - | - |
| 5 | n2 + 1 | 2 | 5 | 10 | 17 | - | - | - | - | 10001 | - |
Write down the following in the product form: x2y4
Find a number which when multiplied by 5 is increased by 80.
The sum of three consecutive natural numbers is 114. Find the numbers.
The sum of two consecutive even numbers is 74. Find the numbers.
Deepak is twice as old as his brother Vikas. If the difference between their ages is 11 years, find their present ages.
The perimeter of the triangle shown in the following figure is ______.
The two digit number whose ten’s digit is ‘t’ and units’s digit is ‘u’ is ______.
The side of an equilateral triangle is shown by l. Express the perimeter of the equilateral triangle using l.
The side of a regular hexagon is denoted by l. Express the perimeter of the hexagon using l.
(Hint: A regular hexagon has all its six sides equal in length.)
A cube is a three-dimensional figure as shown in the given figure. It has six faces and all of them are identical squares. The length of an edge of the cube is given by l. Find the formula for the total length of the edges of a cube.
The side length of the top of square table is x. The expression for perimeter is ______.
The expression for the number of diagonals that we can make from one vertex of a n sided polygon is ______.
The length of a side of square is given as 2x + 3. Which expression represents the perimeter of the square?
The speed of car is 55 km/hrs. The distance covered in y hours is ______.
In a rectangular plot, 5 square flower beds of side (x + 2) metres each have been laid (see the figure). Find the total cost of fencing the flower beds at the cost of ₹ 50 per 100 metres:
The sum of first n natural numbers is given by `1/2n^2 + 1/2n`. Find the sum of first 5 natural numbers.
The sum of the multiplication table of natural number ‘n’ is given by 55 × n. Find the sum of table of 10.
Write an expression for the sum of 1 and twice a number n. If you let n be any odd number, will the result always be an odd number?
