When to use cosine rule - Study guides, Class notes & Summaries

1. Gradient y2-y1/x2-x1 2. Length of a line sqrt((x2-x1)^2+(y2-y1)^2) 3. Midpoint (x1+x2/2, y1+y2/2) 4. How do you know if two lines are perpendic- ular? When you multiply the gra- dients together they should equal -1. The general rule is perpendicular = -1/m. Or you could use Pythagoras to show there is a right angle 5. How do you know if two lines are parallel? The gradients should be the same 6. What should you always remember when finding the square roots? The answer cou...

AQA A-level MATHEMATICS 7357/2 Paper 2 Mark scheme June 2022 Version: 1.0 Final Mark Scheme Mark schemes are prepared by the Lead Assessment Writer and considered, together with the relevant questions, by a panel of subject teachers. This mark scheme includes any amendments made at the standardisation events which all associates participate in and is the scheme which was used by them in this examinatio...

AS MATHEMATICS 7356/1 Paper 1 Mark scheme June 2024 Mark schemes are prepared by the Lead Assessment Writer and considered, together with the relevant questions, by a panel of subject teachers. This mark scheme includes any amendments made at the standardization events which all associates participate in and is the scheme which was used by them in this examination. The standardization process ensures that the mark scheme co...

area of a circle surface area of a sphere surface area of a cone πr x slanted length x πr^2 volume of cone volume of a sphere area of trapezium 1/2(a+b) x height circumference of a circle π x d volume of a cuboid l x w x h volume of a cylinder volume of a pyramid 1/3 x area of base x h distance speed x time density mass/volume pressure force/area Pythagoras' Theorem a^2 + b^2 = c^2 Quadratic equation when ax^2 + bx + c = 0 Sine rule a/sinA = b/sinB = c/sinC Cosine ...

ACT Prep Exam Latest with complete solution Acceleration - ANSWER The rate of change of velocity Acidic - ANSWER Having a pH less than 7 Acute - ANSWER (adj.) refers to an angle that is less than 90 degrees; (adj.) refers to a triangle with angles that are all less than 90 degrees; sharp; quick and precise; intense Aerobic Respiration - ANSWER The breakdown of glucose in the body of an animal to supply muscles with oxygen. Aerosol - ANSWER Solid or liquid particles suspended in gas Alkalin...

Electrical PE Exam Completed with Correct Answers Electrical PE Exam Completed with Correct Answers 1. Inductor impedance equation Z = jwL 2. How can a transformer, motor, or generator be saturated? The voltage/frequency ratio is altered. For example, this happens when excessive voltage is applied to the primary side or the frequency is too low. 3. What are some sources of triplen harmonics? Electronics, CFL lamps, electronics dimmers, etc. 4. What are the effects of triplen harmonic...

Pearson Edexcel International GCSE   P69196A ©2022 Pearson Education Ltd. L:1/1/1/1/ *P69196A0228* 2  International GCSE Mathematics Formulae sheet – Higher Tier Arithmetic series Sum to n terms, Sn = n 2 [2a + (n – 1)d] Area of trapezium = 1 2 (a + b)h b a h The quadratic equation The solutions of ax2 + bx + c = 0 where a ¹ 0 are given by: x b b ac a = − ± − 2 4 2 Trigonometry A B C b a c In any triangle ABC Sine Rule a A b B ...

Pearson Edexcel International GCSE |Mathematics A PAPER 1H Higher Tier Pearson Edexcel International GCSE   P69196A ©2022 Pearson Education Ltd. L:1/1/1/1/ *P69196A0228* 2  International GCSE Mathematics Formulae sheet – Higher Tier Arithmetic series Sum to n terms, Sn = n 2 [2a + (n – 1)d] Area of trapezium = 1 2 (a + b)h b a h The quadratic equation The solutions of ax2 + bx + c = 0 where a ¹ 0 are given by: x b b ac a = − ± − 2 4 2 ...

Exam (elaborations) TEST BANK FOR Advanced Engineering Mathematics [Volume 1] By Herbert Kreyszig and Erwin Kreyszig (Student Solutions Manual and Study Guide) P A R T A Ordinary Differential Equations (ODEs) Chap. 1 First-Order ODEs Sec. 1.1 Basic Concepts. Modeling To get a good start into this chapter and this section, quickly review your basic calculus. Take a look at the front matter of the textbook and see a review of the main differentiation and integration formulas. Also, Appen...

FURTHER MATHEMATICS Level 2 Certificate Paper 1 Non-Calculator Friday 14 June 2019 Afternoon Time allowed: 1 hour 30 minutes Materials For this paper you must have: • mathematical instruments. You must not use a calculator. Instructions • Use black ink or black ball-point pen. Draw diagrams in pencil. • Fill in the boxes at the top of this page. • Answer all questions. • You must answer the questions in the spaces provided. Do not write outside the box around each page...