B. C. D. Square Regular hexagon Regular pentagon Equilateral triangle MA.912.G. 6.6 5. Which is the equation of the circle shown below? A. B. C. D. MA.912.G.7.5 6.
B. Measure sides a, b, and c of the triangle with a tape measure and record these values in centimeters (cm) on your data sheet. C. Measure angles A and B of the triangle with a protractor and record on your data sheet. D. Using the values for the sides of the triangle that you measured in Step B, compute angles A and B by using the different trigonometric functions. E. Calculate the average value of the computed angle A by adding the three computed values of A and dividing by 3.
5 .For part III, Average was needed to be found after Find the Mass/A of each all 5 disk. To do that Add all the values in Table 3 and divide them by 5. 6 .For Part III, Percent difference between the average value and the slope of the derivative diameter graph was found by doing this: ((slope of the derivative vs. diameter graph- average)/slope of derivative vs. diameter graph)*100 =67.9% VII. Analysis Questions/Answers 1. The Slope in Part I represents π 2.
Determine the following. _____________ Side _____________ Radius _____________ Perimeter 16. Given the following regular hexagon, what is the value of the radius? _________ 17. The central angle?
1.explain what a radian measure represents using the unit circle as a reference. -A radian measure on a unit circle is the measure of the length of the arc at certain points on the unit circle. 2.how do special right triangles directly relate to a unit circle. -On the unit circle the radius of the circle is also the hypotenuse. therefore if you set the hypotenuse to be a value such as 1. the side (x,y) of the triangle will be the sine and cosine values on the unit circle.
A circumscribed circle touches each vertex of the triangle. There are also things called the incenter and the circumcenter. The incenter is the center of the inscribed circle and the circumcenter is the center of a circumscribed circle. The relation between a circle and a triangle is that
(4) [7] QUESTION 4 a + q. The point A(2 ; 3) is the point of intersection of the asymptotes of f. x− p The graph of f intersects the x-axis at (1 ; 0). D is the y-intercept of f. Given f ( x) = y f A(2 ; 3) f D (1 ; 0) x 0 4.1 Write down the equations of the asymptotes of f. (2) 4.2 Determine an equation of f. (3) 4.3 Write down the coordinates of D. (2) 4.4 Write down an equation of g if g is the straight line joining A and D. (3) 4.5 Write down the coordinates of the other point of intersection of f and g. (4) [14] Copyright reserved Please turn over Mathematics/P1 5 NSC DBE/November 2010 QUESTION 5 Consider the function f ( x) = 4 − x − 2 . 5.1 Calculate the coordinates of the intercepts of f with the axes. (4) 5.2 Write down the equation of the asymptote of f. (1) 5.3 Sketch the graph of f on DIAGRAM SHEET 1.
24 For the parabola with the equations below, find: i the equation of the axis of symmetry ii the coordinates of the vertex a y = x2 + 3x + 2 b y = 3x − 2x2 c y = 10 − x2 b y = 5x − 2x2 d y = 2x2 − 5x + 2 25 Sketch each of the following: a y = 3x2 − x − 4 Ex 11-09 Ex 11-09 Ex 11-09 26 For each of the parabolas find: i the coordinates of the vertex ii the x-intercepts iii the y-intercept. Draw a neat sketch of the graph of each equation. a y = 4x2 − 12x + 9 b y = 3x2 − 14x − 5 27 Sketch each of the following exponential curves: a y = 3x b y = −6−x 28 In each of the following statements, decide which variable is independent and which variable is dependent: a the amount of fuel used by a car varies with the distance travelled b the diameter of a balloon decreases as the air leaks out c the more people that attend the dinner show, the cheaper the cost of a ticket d the warmer the air in a hot-air balloon, the higher it will go 29 Match each of these equations with one of the graphs below. a x = 2x2 − 2 e x+y=1 i y = 2x2
Unit 3 study guide A quadrilateral is a four-sided polygon. A quadrilateral is named by writing each vertex in consecutive order. A trapezoid is a quadrilateral with one and only one pair of parallel sides A parallelogram is a quadrilateral with two sets of parallel sides A quadrilateral with four right angles is known as a rectangle A quadrilateral with four rights angles and four congruent sides is known as a square A rhombus is a quadrilateral with four congruent sides and no restrictions on the angles Properties of quadrilaterals Parallelograms- A parallelogram is a quadrilateral with two pairs of parallel sides. It has all of the properties shown here: -The opposite sides are congruent. EF=HG, EH=FG -The opposite angles are
G. TRUE or FALSE: The acceleration of a particle following a space curve lies in the normal plane. 2) Sketch the curve with the given vector equation, starting at t=0 . Indicate with an arrow the direction in which t increases. Be sure to include a few points to justify your graph. 8pts r(t) = cos t, sin t, sin