Math News

To find the length of the kite string given its angle and height, use trigonometric ratios like sine or cosine in a right triangle setup.

To determine which set of angles has the same trigonometric ratio, compare their specific values. So check this page to find the answer.

To find what fraction of an hour 20 minutes represents, divide 20 by 60. Simplify this fraction to get the final answer.

To find how much 60% of 50 is greater than 40% of 30, calculate both percentages and subtract the smaller value from the larger one.

To find the circle's radius, use Pythagoras theorem with the given tangent length and distance from the center, which form a right triangle.

To find two numbers whose sum is 27 and their product is 182, set up a quadratic equation based on these conditions, which involves solving for the numbers.

To find how many ways 8 people can be seated around a circular table, use the formula for circular permutations, which is (n-1)! for n people.

To find the unknown number given the sum of three-fifths of the number is 56, set up and solve the equation using the variable x for the number.

To find the single discount equivalent to successive discounts of 20%, 10%, and 15%, calculate each discount and combine them using the formula for successive discounts.

To find three consecutive natural numbers summing to 114, start with the smallest number as x, then write the equation based on consecutive numbers to solve for x.

To find the area of a triangle with sides 18 cm and 10 cm, and a perimeter of 42 cm, first determine the third side, then use Heron's formula.

To find the area of a triangle with a perimeter of 50 cm, identify the lengths of the sides using the given conditions, then calculate the area.

To find the area of an equilateral triangle with a perimeter of 180 cm, divide the perimeter by 3 to get the length of one side, then use the area formula.

When dealing with boat speed problems involving streams, calculate times for upstream and downstream travel and use these to find the stream's speed.

To find the volume of a hall, use the hall's dimensions and this relationship to determine its height, and then calculate the volume.

To find the time taken by a boat to travel 68 km downstream, calculate the combined speed and then divide the distance by this speed.

To find the speed of a train that travels 360 km and would take 1 hour less if it went 5 km/h faster, set up an equation comparing the time taken at both speeds.

To find the principal sum that earned Rs. 4016.25 in simple interest at 9% per annum over 5 years, apply the simple interest formula and calculate the principal amount.

Calculate the ratio of investments among the partners, then use this ratio to find each partner's share of the profit based on the total profit of Rs.18,000.

To find the smallest number that, when increased by 17, is divisible by both 520 and 468, you need to find the least common multiple (LCM) of the two numbers.