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Express (1 + 4 * 7^0.5)/(5 + 2 * 7^0.5) in the form m + n * 7^0.5

Need to make the bottom of the fraction an integer so we can simplify it. The easiest way to do that is the difference of 2 squares so multiply the whole fraction by (5 - 2 7 0.5 ). This gives us (5-56+20 7^...
EC
Answered by Ella C. • Maths tutor
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Describe how deoxygenated blood flows through the heart

Deoxygenated blood from the body flows into the right atrium via the vena cava . The right atrium contracts, forcing open the tricuspid valve . This allows blood to flow from the right atrium into the right ...
AF
Answered by Anna F. • Biology tutor
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A trolley of negilible mass on horizontal tracks is at rest. A person of mass 50kg is standing on the trolley with a bag of mass 10kg. The person throws the bag off the trolley horizontally with a velocity of 3m/s. Calculate the velocity of the man.

Establish what information you have been given in the question (mass of person=50kg, mass of bag=10kg, velocity of bag=3m/s, start velocity of both=0m/s). Use the equation momentum=mv and the principle of co...
EC
Answered by Ella C. • Maths tutor
3693 Views

Calculate the area of a circle with a diameter of 20mm

Firstly draw the circle and label the diameter. Then calculate the radius by dividing the diameter by 2 (radius is 10mm). Using the formula A=pi*r^2 to find the area. This gives the answer as 100pi mm^2 or 3...
EC
Answered by Ella C. • Maths tutor
18464 Views

What is the best way to structure an essay?

The key to writing a successful essay, whether in exams or coursework, is a really strong plan. I would advise a quick brainstorming session where you write down all your ideas, and then organise them in an ...
GC
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