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In a triangle ABC where angle CAB = 90 and angle ABC = 40 and the hypotenuse = 20cm, what is the length CA? Then find the total perimeter of the triangle.

Use SOH CAH TOA to determine which trigonometric function to useTo calculate CA Sine should be usedWe then get an answer of 12.86cm for CAWe can then either use Cosine or pythagorus to calculate AB
F...

JD
Answered by Jack D. Maths tutor
2643 Views

Show that the lines y=3x+7 and 2y-6x=8 are parallel (not using a graphical method).

The standard form of a straight line is y = mx + c, where y and x are variables that depend on each other, m is the gradient and c is the y-axis intercept. An important fact for this question is that para...

MB
Answered by Matt B. Maths tutor
3850 Views

Explain Fractional Distillation (6 Marks)

Fractional distillation is the process of separating the different hydrocarbon compounds within crude oil (Show understanding of fractional distillation through context) . First the crude oil is heated/va...

AH
Answered by Aatif H. Chemistry tutor
33075 Views

prove by induction that, f(n) = 2^(3n+1) + 3(5^(2n+1)) is divisible by 17 for all n>0.

With induction we start with the base case n = 1. So setting n=1 we find that f(1) = 391 which is equal to 17x23. So indeed the base case holds.We assume that for positive integers k, f(k) is divisible by...

MB
8775 Views

Outline the reasons why insects and other animals need well-developed transport systems (3 marks)

This question has 3 marks attached to it, therefore the examiner is looking for three clear points.

Larger organisms tend to have higher metabolic demands as they are more active.

VD
Answered by Vaibhav D. Biology tutor
12415 Views

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