[2] iii) Find the equation of the circle. [2] iv) The line y + 5x = 8 cuts the circle at A and again at a second point D. Calculate the coordinates of D. [4] v) Prove that the line AB is perpendicular to the line CD. [3] 5. Find the angle ( and the length x in the triangle shown below. [7] 6.
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.
M<FJG=90, m<GJH=90, m<HJE= 90, m<EJF=90 -The diagonals bisect the angles. m<EFJ= m<JFG, m<FGJ= m<JGH, m<GHJ= m<GHJ= m<JHE, m<HEJ= m<JEF j j E F H G 1 2 M 3 4 5 6 N 7 8 T Transversal The intersections of lines m,n, and t create eight different angles. Line t is called the transversal. You can think of the eight angles as being split into two different groups of four, one group around line m and the other group around line n. Those angles that “match up”---see the like- colored numbers--- are corresponding angles. The corresponding angles in this figure are the angles pairs <1 and <5, <2 and <6, <3 and <7, <4 and <8 1 2 M 3
[2] (b) Shade 25% of the following figure. [1] (c) Write down all the factors of 22. [2] .................................................................................................................................................................................................................................... (d) Write 7458 (i) (ii) correct to the nearest 10, correct to the nearest 1000. ...................................................... ...................................................... [2] 185-02 9 Examiner only 6. y 8 7 6 5 4 3 2 A –8 –7 –6 –5 –4 –3 –2 –1 1 0 –1 P –2 –3 –4 –5 –6 1 2 3 4 5 6 x B Write down the coordinates of (a) (b) the point P, the mid-point of the line AB. ( ....................... , ....................... ) [1] ( ....................... , ....................... ) [1] 185-02 Turn over.
(a) 11010001 (b) 000101010 6. (a) Negative (b) Negative 7. (a) 550ns (b) 600ns (c) 2.7us (d) 10V 8. 2ms 9. 250Hz 10.
Under Secret Service regulations the agent on the passenger side of the front seat was supposed to protect President Kennedy by pushing the president down or by throwing his body over the president's. The agent did neither. The agent driving the limousine was supposed to accelerate the limousine and speed away from dangers such as sniper fire. However, during the entire time that rifle bullets were whizzing into the open limousine the driver failed to accelerate, and may have even slowed down. Pictures taken during the shooting, show that the limousine's brake lights were on.
5) Information about Clearwater Company's direct materials cost follows: Standard price per materials ounce $ 100 Actual quantity used 8,700 grams Standard quantity allowed for production 9,100 grams Price variance $ 76,125 F ________________________________________ Required: What was the actual purchase price per gram? (Round your answer to 2 decimal places. Omit the "$" sign in your response.) Actual purchase price $ 91.25 Total grade: 0.0×1/1 = 0% Feedback: Actual Costs = AP × 8,700 Actual Inputs at Standard Price = $100 × 8,700 =$870,000 Price Variance = $76,125 F 8,700 × AP = $870,000 – $76,125 AP = $91.25 ________________________________________ Question 3: Score
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 highest point in the state is Guadalupe Peak at 8,749 feet above sea level. Elevation naturally rises from the east to the west and from the south to the north. Major Cities - Rainfall / Elevation Regional Average Rainfall: 8-20 inches per year Regional Average Net Evaporation rate: 52-68 inches Data source: National Climate Datat Center, U.S. Dept of Commerce. Alpine - 17.19 in. / 4,530 ft. Balmorhea - 14.19 in.
Initial Assessment Essay Upon beginning this first assignment, the first cartoon to really stick out to me was the drawing done by Doug Marlette, printed in a 1999 edition of Newsday, located on page 20 of the text. In this cartoon, we see the back view of two cars driven by two completely different men. On the left hand of the cartoon, there is a truck with a bumper sticker that reads, “GUNS DON’T KILL—PEOPLE DO!” along with a license plate containing the letters, “N.R.A.” Similarly, on the right side of the cartoon is a convertible with the corresponding bumper sticker, “DRUGS DON’T KILL—PEOPLE DO!” and the license plate, “Dealer.” From observation of the cartoon, the viewer can clearly see that the truck driver is angered by what he sees to his right—a drug dealer using a legalized organization’s slogan to justify his illegal actions. In this cartoon, Marlette is exemplifying the use of the common logical fallacy, false analogy. A false analogy is a false comparison, sometimes expressed as “comparing apples to oranges” (Reading 18).