Find the area of the triangle having the given measurements. Round to the nearest square unit.A = 20°, b = 12 inches, c = 6 inches A. 11 square inches B. 34 square inches C. 10 square inches D. 12 square inches

QUESTION 1 Find the area of the triangle having the given measurements. Round to the nearest square unit.A = 20°, b = 12 inches, c = 6 inches

A. 11 square inches

B. 34 square inches

C. 10 square inches

D. 12 square inches

QUESTION 2 Evaluate the expression arctan(2.2). Round your result to three decimal places.

A. 1.244

B. -0.524

C. 1.450

D. 1.144

QUESTION 3

A.

B.

C.

D.

QUESTION 4 An electric hoist is being used to lift a beam. The diameter of the drum on the hoist is 8 inches, and the beam must be raised 2.5 feet. Find the number of degrees through which the drum must rotate. Round your answer to nearest whole number.

A. 37 degrees

B. 39 degrees

C. 36 degrees

D. 38 degrees

QUESTION 5 Given two sides and an angle of a triangle. Solve the triangle.C = 114°, c = 87, b = 12

A. A = 58.76° B = 7.24° a = 81.43

B. A = 20° B = 47° a =97.85

C. A = 6° B = 60° a = 81.43

D. A = 12° B = 115° a =48.98

QUESTION 6 A triangle has the following measurements: A = 82° B = 65° b = 36. Determine side a.

A. a = 13.16

B. a = 39.34

C. a = 38.38

D. a = 36.55

QUESTION 7 Given a triangle has sides a = 32 ft, b = 24 ft, c = 36 ft. Determine the area of the triangle. , rounded to nearest whole number.

A. 229 square feet

B. 302 square feet

C. 376 square feet

D. 344 square feet

QUESTION 8

A. 7,000

B. 5,130

C. 1,601

D. 1,605

QUESTION 9 Which of the following are solutions to: sec2x-6secx-7=0

A. arcsec(-7) or arcsec(-1)

B. arcsec(7) or arcsec(-1)

C. arcsec(-7) or arcsec(1)

D. arcsec(7) or arcsec(1)

QUESTION 10 A triangle has sides a = 5, c = 9, and angle B = 54° Determine angle A.

A. A = 25.55°

B. A = 23.25°

C. A = 21.67°

D. A = 33.72°

QUESTION 11

A.

B.

C.

D. QUESTION 12 Solve: ln(x+5)-ln(x)=ln2

A. 5

B. -2

C. 0

D. 1

QUESTION 13 Solve: ln(3×2-2)=ln(-6×2+2)

A. -3

B. 1

C. 3/2

D. 2/3, -2/3

QUESTION 14 A sprinkler on a golf green is set to spray water over a distance of 15 meters and to rotate through an angle of 170°. Find the area of the region. Round your answer to two decimal places.

A. 316.12 squared meters

B. 333.79 squared meters

C. 335.00 squared meters

D. 311.13 squared meters

QUESTION 15

A. 8 + 8i

B. 16i

C. 32

D. 8 + i

QUESTION 16

A. 3°

B. 87°

C. -3°

D. 60°

QUESTION 17

A.

B.

C.

D.

QUESTION 18 Find the absolute value of the complex number. z = 1 – 7i

A. 5

B. -7

C. 0

D. 7 QUESTION 19 Write the complex number 2 – 2i in trigonometric form.

A.

B.

C.

D.

QUESTION 20

A.

B.

C.

D. QUESTION 21 Find the radian measure of the central angle of the circle of radius 7 centimeters that intercepts an arc of length 15 centimeters. Round to three decimals.

A. 2.143

B. 30.401

C. .554

D. 4.421

E. 3.901 QUESTION 22

A. 1, 1/3

B. -1, 1/3

C. 1, -1/3

D. -1/3

QUESTION 23

A.

B.

C.

D.

QUESTION 24 1.

A. 0

B.

C.

D.

QUESTION 25

A.

B.

C. Cannot be determined

D.

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