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The perimeter of a right-angled triangle is 60 cm. The lengths of its sides are in the ratio 3 : 4 : 5. Calculate the area of the triangle.

We are given ratios of side lengths and the total perimeter. The perimeter of the triangle is simply the sum of the side lengths. Imagine that the sides are made up of "units": 3 times a unit + ...

Answered by Viktoria N. • Maths tutor

2748 Views

How do I solve a sum of equations with unknowns in the denominator?

First, you need to make sure that each equation has a common denominator. You do this by multiplying the numerators of each equation with the denominators of the others. This allows you to form one algebr...

Answered by Kai H. • Maths tutor

2635 Views

Given that during a total solar eclipse the Sun is fully hidden by the Moon, calculate the radius of the Moon. (You may use the following: Solar radius 700,000 km, Sun-Earth distance 150,000,000 km, Moon-Earth distance 400,000 km)

Let's prepare a diagram with the Sun on the right, Moon in the middle and Earth on the left. Their centres are collinear. Moreover, draw right angled triangles such that the right angle opens from the cen...

Answered by Viktoria N. • PAT tutor

2167 Views

Determine an approximate value for the acceleration of free fall using a tennis ball, metre ruler and a stopwatch.

Drop the ball from a given height that is measured with the ruler and measure the time it takes for it to reach the ground using the stopwatch. Use the appropriate SUVAT equation of motion: we have a heig...

Answered by Viktoria N. • Physics tutor

10310 Views

Solve algebraically for a and b: 6a+b=16, 5a-2b=19

Multiply equation 1) by 2 : 12a+2b=32. There are alternate signs of b and so therefore add the equations together: 17a=51. Solve for a: a=3. Sub a into one of the equations to find b: 5*3-2b=19b=-2. The f...

Answered by Sorcha S. • Maths tutor

2485 Views