E Properties of Plane Areas Notation: A area x‚ y distances to centroid C Ix‚ Iy moments of inertia with respect to the x and y axes‚ respectively Ixy product of inertia with respect to the x and y axes IP Ix Iy polar moment of inertia with respect to the origin of the x and y axes IBB moment of inertia with respect to axis B-B 1 y x h C b y x Rectangle (Origin of axes at centroid) A Ix bh bh3 12 x Iy b 2 hb3 12 y h 2 Ixy 0 IP bh 2 (h 12 b2) 2 y B Rectangle (Origin of axes
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Answers: New GCSE Maths Edexcel Linear Homework Book Higher 2 1 Number: Using a calculator 1.1 Basic calculations and using brackets HOMEWORK 1A 1 a 195 b 300 2 a 28.08 b 48.18 3 a 24.5 b 38.3 c 326.9 d 11.3 4 14 days 5 Alfie 4.67; Becky 5.46; Chloe 6.14; Daniel 3.77 Daniel is correct. 6 75 Euros is approximately £65.79; $100 is about £67.11‚ so $100 is worth more 7 a 15.26 b 194.88 8 a 1.7 b 4.8 9 a 533.05 b 5.221096 1.2 Adding and subtracting fractions with a calculator
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calculator‚ ruler‚ compasses and a protractor. The Formula Sheet is on page 2. 8168 *20GMT4101* *20GMT4101* 8168 *20GMT2102* *20GMT4102* 1 Examiner Only Marks Remark A parallelogram has sides of 6 cm and 10 cm‚ with an angle of 50° between the sides. Calculate the height x of the parallelogram. Answer x = cm [3] Total Question 1 [Turn over 8168 *20GMT4103* *20GMT4103* 2 The graph below shows the cumulative frequency of marks obtained in a spelling
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Independent Mass of projectile The four different masses will be used in different combinations Dependent distance Measured using tape measure Controlled 1. Height of retort stand 2. Release angle 3. The length of the wires 4. Mass of the wooden block 1. The same stands will be used for all experiments 2. The angle will be a constant of 90 degrees 3. Same wires used for every trial Equipment list: 1. Tape measure 2. 2 retort stands 3. 1.00‚0.50‚0.25‚0.10 kilogram projectiles 4. Wooden block
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In the film ’The Hurricane’ directed by Normal Jewison an important message that the character Rubin helps us understand is that of Racism. Jewison shows the viewer that the victims of racism have their lives destroyed and become aggressive because of the inequality served to them. We are also shown how unprotected victims of racism are‚ and how they are always in danger of becoming the target to blame things on. However Jewison directed this film to change these attitudes so towards the end of
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may use a pencil for any diagrams or graphs. Do not use staples‚ paper clips‚ highlighters‚ glue or correction fluid. Answer all the questions. Give non-exact numerical answers correct to 3 significant figures‚ or 1 decimal place in the case of angles in degrees‚ unless a different level of accuracy is specified in the question. The use of an electronic calculator is expected‚ where appropriate. You are reminded of the need for clear presentation in your answers. At the end of the examination
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trigonometryAs you see‚ the word itself refers to three angles - a reference to triangles. Trigonometry is primarily a branch of mathematics that deals with triangles‚ mostly right triangles. In particular the ratios and relationships between the triangle’s sides and angles. It has two main ways of being used: 1. In geometryIn its geometry application‚ it is mainly used to solve triangles‚ usually right triangles. That is‚ given some angles and side lengths‚ we can find some or all the others. For
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Also: Betweeness of Points: AB + BC = AC Angle Addition Postulate: m<ABC + m<CBD = m<ABD | Construction | Two points determine a straight line. | Construction | From a given point on (or not on) a line‚ one and only one perpendicular can be drawn to the line. | Right Angles | All right angles are congruent. | Straight Angles | All straight angles are congruent. | Congruent Supplements | Supplements of the same angle‚ or congruent angles‚ are congruent. | Congruent Complements
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an Acute Angle c a b C A B The ratios of the lengths of the sides of a right triangle are called the trigonometric ratios. For convenience‚ we will name the three sides and three vertices of the right triangle as‚ a‚ b‚ and c for sides and the A‚ B‚ and C for the vertices as shown in the figure: Sine (sin) Function of an acute angle of a right triangle is equal to the ratio of the length of the opposite leg to the length of the hypotenuse. Cosine (cos) Function of an acute angle of a right
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measures the distance of a point‚ using: An origin point to an object’s feature such as a key-way in a part Radial measures radii and diameters‚ using: A centre line/mark to arc or circle parameters to show data Angular measures the angle formed‚ using: An angle vertex and endpoints to show data - between two lines or use of three points 5. What is the difference between a dimension and en extension line? Dimension lines give distance or extent of dimension and extension lines give the limits
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