22. Thirty percent of the high school is involved in athletics. If 15 percent of the athletes play football, what percentage of the whole school plays football? A. 4.5 percent C. 15 percent B. 9.0 percent D. 30 percent

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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22. Thirty percent of the high school is involved in
athletics. If 15 percent of the athletes play football,
what percentage of the whole school plays football?
A. 4.5 percent
C. 15 percent
B. 9.0 percent
D. 30 percent
23. Describe the locus represented by Iz + 2i| + |z - 211
= 6.
A. circle
B. parabola
24. If the average value of a periodic function over one
period is zero and it consists of only odd harmonics,
then it must be possessing
A. 455п
B. 625п
A. half-wave
B. even quarter-wave
D. odd
C. odd quarter-wave
25. A chord is 40 cm long and its midpoint is 40 cm from
the midpoint of the longer arc. Find the area of the
circle.
C. ellipse
D. hyperbola
A. 27m
B. 30m
26. A university mathematics department has 10 professors
and will offer 20 different courses next semester. Each
professor will be assigned to teach exactly 2 of the
course, and each course will have exactly have one
professor assigned to teach it. If any professor can be
assigned to teach any course, how many different complete
assignments of the 10 professors to the 20 courses are
possible?
C. 568n
D. 25п
A. 20/210
C. 1020 - 210
D. 1020 100
B. 101/29
27. Given a triangle, C = 100 degrees, a = 15m, b = 20m.
Find c.
A. a circle
B.
28. Dave is 46 years old, twice as old as Rave. How old
is Rave?
A. 30
B. 28
an ellipse
3 of 5
C. 24m
D. 32m
C. 23
D. 18
29. if dy/dx = tanx, then y =
A. (1/2) tan2x + C
B.
sec2x + C
C. 1n| sec x + C
D. 1n cos x + C
30. REE-April 2019. What was the marked price of a shirt
that sells at P225 after a discount of 25 percent?
A. P280
C. P300
B. P320
D. P340
31. REE-April 2019. If the orbit of a satellite has the
polar equation r(2 + cose) = 4, then the path of the
orbit is
C. a parabola
D. a hyperbola
32. Determine B such that 3x + 2y -7=0 is perpendicular
to 2x By +2=0
Transcribed Image Text:22. Thirty percent of the high school is involved in athletics. If 15 percent of the athletes play football, what percentage of the whole school plays football? A. 4.5 percent C. 15 percent B. 9.0 percent D. 30 percent 23. Describe the locus represented by Iz + 2i| + |z - 211 = 6. A. circle B. parabola 24. If the average value of a periodic function over one period is zero and it consists of only odd harmonics, then it must be possessing A. 455п B. 625п A. half-wave B. even quarter-wave D. odd C. odd quarter-wave 25. A chord is 40 cm long and its midpoint is 40 cm from the midpoint of the longer arc. Find the area of the circle. C. ellipse D. hyperbola A. 27m B. 30m 26. A university mathematics department has 10 professors and will offer 20 different courses next semester. Each professor will be assigned to teach exactly 2 of the course, and each course will have exactly have one professor assigned to teach it. If any professor can be assigned to teach any course, how many different complete assignments of the 10 professors to the 20 courses are possible? C. 568n D. 25п A. 20/210 C. 1020 - 210 D. 1020 100 B. 101/29 27. Given a triangle, C = 100 degrees, a = 15m, b = 20m. Find c. A. a circle B. 28. Dave is 46 years old, twice as old as Rave. How old is Rave? A. 30 B. 28 an ellipse 3 of 5 C. 24m D. 32m C. 23 D. 18 29. if dy/dx = tanx, then y = A. (1/2) tan2x + C B. sec2x + C C. 1n| sec x + C D. 1n cos x + C 30. REE-April 2019. What was the marked price of a shirt that sells at P225 after a discount of 25 percent? A. P280 C. P300 B. P320 D. P340 31. REE-April 2019. If the orbit of a satellite has the polar equation r(2 + cose) = 4, then the path of the orbit is C. a parabola D. a hyperbola 32. Determine B such that 3x + 2y -7=0 is perpendicular to 2x By +2=0
A. 5 cm
B. 12 cm
10. Find the second derivative of xlnx.
C. 13 cm
D. 24 cm
A. X
B. 1/x.
C. 1
D. x^2
11. A car travels 90 kph. What is its speed in meter per
second?
A. 43
B. 30
12. Describe and graph the locus
A. Circle
B. Parabola
13. Sofia and Tess will each randomly choose one of the
10 integers from 1 to 10. What is the probability that
neither integer chosen will be the square of the other.
C. 0.81
D. 0.95
C. 25
D. 50
represented by Im{z^2}=4
Hyperbola
C.
D. Ellipse
A. 0.64
B. 0.72
14. Totoy is 5 feet 11 inches tall and Nancy is 6 feet 5
inches tall. How much taller is Nancy than Totoy?
A. 1 foot 7 inches
B. 1 foot
C. 7 inches
D. 6 inches
15. A man is paid P1,800 for each day he works and
forfeits P300 for each day he is idle. If at the end of
40 days, he nets P53, 100, how many days was he idle?
A. 6
C. 8
B. 7
D. 9
16.1im (cos3x 1)/x^2 as x approaches 0
A. 9/2
B. 3/2
17. Find the equation of one of the asymptote of the
hyperbola x^2 - 4y^2 6x - 8y + 1 = 0.
A. x - 2y - 5 = 0
B. x -2y + 5 = 0
D. x - 2y + 1 = 0
C. x - 2y - 1 =0
18. A parabola has its axis parallel to y-axis, one end
of its latus rectum is at (9,6) and the vertex is at
(5,4). Find the length of the latus rectum.
A. 6
B. 12
19. Evaluate (cot (j0.78))^2
A. -0.426
B. 0.426
20. A coin is tossed three times. He got three heads from
these tosses. What is the probability that he will again
get a head in the fourth loss?
A. 1/12
C. 1/2
B. 1/16
D.
1/4
21. How many inches are there in 34/3 yards?
A. 126
C. 160
B. 120
D. 168
C. -3/2
D. -9/2
C. 10
D. 8
C. -2.347
D. 2.347
Transcribed Image Text:A. 5 cm B. 12 cm 10. Find the second derivative of xlnx. C. 13 cm D. 24 cm A. X B. 1/x. C. 1 D. x^2 11. A car travels 90 kph. What is its speed in meter per second? A. 43 B. 30 12. Describe and graph the locus A. Circle B. Parabola 13. Sofia and Tess will each randomly choose one of the 10 integers from 1 to 10. What is the probability that neither integer chosen will be the square of the other. C. 0.81 D. 0.95 C. 25 D. 50 represented by Im{z^2}=4 Hyperbola C. D. Ellipse A. 0.64 B. 0.72 14. Totoy is 5 feet 11 inches tall and Nancy is 6 feet 5 inches tall. How much taller is Nancy than Totoy? A. 1 foot 7 inches B. 1 foot C. 7 inches D. 6 inches 15. A man is paid P1,800 for each day he works and forfeits P300 for each day he is idle. If at the end of 40 days, he nets P53, 100, how many days was he idle? A. 6 C. 8 B. 7 D. 9 16.1im (cos3x 1)/x^2 as x approaches 0 A. 9/2 B. 3/2 17. Find the equation of one of the asymptote of the hyperbola x^2 - 4y^2 6x - 8y + 1 = 0. A. x - 2y - 5 = 0 B. x -2y + 5 = 0 D. x - 2y + 1 = 0 C. x - 2y - 1 =0 18. A parabola has its axis parallel to y-axis, one end of its latus rectum is at (9,6) and the vertex is at (5,4). Find the length of the latus rectum. A. 6 B. 12 19. Evaluate (cot (j0.78))^2 A. -0.426 B. 0.426 20. A coin is tossed three times. He got three heads from these tosses. What is the probability that he will again get a head in the fourth loss? A. 1/12 C. 1/2 B. 1/16 D. 1/4 21. How many inches are there in 34/3 yards? A. 126 C. 160 B. 120 D. 168 C. -3/2 D. -9/2 C. 10 D. 8 C. -2.347 D. 2.347
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