Find the perimeter and area of the shaded sections of these shapes. (i) [7] (ii) [7] Total 60 marks Geometry and trigonometry Solutions to Topic assessment 1. The curve is a circle, centre O and radius 2. [2] 2. Substituting [pic] into [pic] gives [pic] Since the equation has a repeated root, the line meets the circle just once, and so the line is a tangent to the circle.
B. C. D. 80° 100° 180° 200° and ? MA.912.G.2.2 4. What regular polygon has an exterior angle that measures 60 degrees? A. B. C. D. Square Regular hexagon Regular pentagon Equilateral triangle MA.912.G.
The radius of a circle is (7x + 3) cm. Write an expression to represent the area of the circle in simplified form. 23. A rectangle has a length of (x + 2) in. and a width of (2x + 3) in.
Record the readings of the three instruments at eight different speed settings of the tunnel: 15, 20, 25, 30, 35, 40, 45, & 50. 4. Plot two calibration curves with pressure transducer reading as the abscissa and micromanometer reading as the ordinate for the first, and micromanometer versus scannivalve as the second. Convert micromanometer data to read as total pressure in SI units [Pa]. 5.
If the base is 30 feet, and the corresponding height is 25 feet, what is its area? 10. Write each percent as a decimal and as a fraction in simplest form: a. 200% b. 135% c. .03% d. .45%
The central angle? ________ 18. The 1x side of the 30-60-90 triangle within our original hexagon?_________ 19. What is the side of the hexagon? ______ 20.
At this point, the other half oval shape of his head continues counterclockwise and measures southwest 8.2 centimeters to where his hand meets his face. The Division I outline now takes a sharp and direct angle to the
a.|0.24 m [W]| b.|114.4 m [W]| c.|158.08 m [W]| d.|172.22 m [W]| ____ 4. Three distances were measured: 45.678 m, 78.9 m and 1.23 m. What is the sum of these distances using the correct number of significant digits? a.|125. 81 m| b.|125.8 m| c.|126 m| d.|1.3 x 102 m| ____ 5. Which position-time graph represents an object with an increasing velocity moving in a westward direction?
Find all the factors of 48. a. 1, 2, 3, 4, 12, 16, 24, 48 b. 1, 2, 3, 4, 6, 8, 11, 12, 16, 24 c. 2, 3, 6, 8, 24 d. 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 10. Prime factor 240. a. 24•3•5 b.
8 5 7 8 (a) 7 7 8 6 6 11 7 5 5 7 9 9 6 7 6 7 Construct a frequency table from the above data and add a cumulative frequency column. For this data, find: (i) the median; (ii) the lower quartile; (iii) the upper quartile. 2 (b) 1 1 1 2 (c) Construct a boxplot for this data. [Turn over [ X100/201] Page three Marks 3. The diagram below represents a sphere.