Foundations of Mathematics 10

~SUBMISSION 7~Be sure to show your WORK for all circled questionsRound to three decimal places:1. sin 56 _________2. tan 18 _________3. cos 82 _________Find x (round to nearest whole number)4. sin x =119_________5. tan x = 0. 459 _________6. cos x = 0. 366 _________7. If tan x = .593, then sin x = ? (Round tothree decimal places). _________Solve for x (Round to nearest whole number)8. Tan 64 =23x _________9. Cos 54 =x76.4_________10. Sin x = 0.5 _________11. In ∆ABC, A is 34 degrees, B is 90degrees, and side AC is 9 cm. Find thelength of side AB. (Round to nearest tenth)_________12. In ∆DEF, D is 90 degrees, DE = 5 andEF = 7. Find the size of DEF . (Round tonearest whole number) _________13. How many feet from the base of a housemust a ladder 40 feet long be placed so thatthe top of the ladder will reach a point on thehouse 36 feet above the ground? (Round to 1decimal place) (2 marks)_________14. In the following figure, the angle of elevationfrom A to E is 54 degrees. Find the distanceCE and the area of entire figure AECB.(Round both to nearest whole number—DONOT round answers until END OF question!))a. (2 marks) CE = ________b. (2 marks) Area of AECB = ________15. In the figure below, find the value of CD(Round to nearest whole number – 2 marks))CD = ______UPLOAD in MOODLEI verify that this Submission page has been completed by ______________________________ without assistance.Parent or Supervisor (Print Name) ___________________________ (Signature) ________________________BONUS QUESTIONS (Optional) – 5 marks1 mark each. WORK MUST BE SHOWN (unless instructed otherwise!)ATTACH EXTRA WORK PAGES IF SPACE BELOW IS INSUFFICIENTQuestion 1 (No work needed)In the correctly worked addition sum at right, A,B,C and D represent different digits, andall the digits in the sum are different. What is the sum of A, B, C and D?Answer __________Question 2What is the equation of a line (in slope intercept form) which is a reflection of line y = 3x + 2 in the xaxis?Answer __________Question 3 (No work required)Draw the figure that best completes the seriesAnswerQuestion 4 (Explain how you arrived at your answer!)Which number comes next in this series?2, 3, 5, 7, 11, 13, ____Answer __________Question 5This semicircle has an area of 17.6714. What is the area of the square inscribed inside thesemicircle? (Round to nearest whole number)Answer __________