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    Question 1 Multiple Choice

    The two sides of a right triangle have lengths 2.92 and 3.98. Find the hypotenuse.

    □ 6.90

    □ 3.34

    □ 4.94

    □ 3.20

    Question 2 Multiple Choice

    An equation used in the study of protein molecule is
    In A+ In h - In(1 - h)
    Solve for h

    □ h = A / (A + 1)

    □ h = A / (A - 1)

    □ h = (A + 1) / A

    □ h = (A - 1) / A

    Question 4 Multiple Choice

    Write the following matrices as a system of three equations.

    □ t+2u+3v=1
    4t5u+6v=2
    7t+8u+6v=3

    □ t+4u+7v=1
    2t+5u+8v=2
    3t+6u+9v=3

    □ t-2u+3v=0
    -4t+5u-6v=0
    7t-8u+9v=0

    Question 5 Multiple Choice

    Complex roots of a polynomial always come in conjugate pairs.

    □ True

    □ False

    Question 8 Multiple Choice

    Given the following equation, find XL of a circuit with resistance, R. of 5 ohms, impedance, Z, of 4 ohms, and a capacitor, XC, with a value of 8 ohms.

    Z = R + j(XL - XC)

    □ (1/j) + 8

    □ (8+j))/j

    □ j - 8

    □ j + 8

    Question 9 Multiple Choice

    Given a triangle with the following given parts, find the value of side c.

    a = 3.5, b = 1, C = 29 degrees

    □ 7.13

    □ 2.67

    □ 3.80

    □ 3.92

    Question 10 Multiple Choice

    If the horizontal and vertical components of a vector A are given by
    Ay = 3 sin 66
    Ax = 3 cos 66
    And vector B are given by
    By = 25 sin 12
    Bx = 25 cos 12
    Find the x and y components, position angle, and magnitude of the resultant vector.

    □ Rx = 25.67; Ry = 7.94; angle = 72.82;

    □ Rx = 7.94; Ry = 25.674; angle = 72.82;

    □ Rx = 25.00; Ry = 3.00; angle = 39;

    □ Rx = 25.67; Ry = 7.94; angle = 17.19;

    Question 11 Multiple Choice

    A car is traveling a t 88 km/hr. What is the angular velocity of a point on the outer edger of the tire if the tire diameter is 40 cm?

    □ 2.2 rad/s

    □ 7333 rad/min

    □ 1222 rad/s

    □ 4400 rad/hr

    Question 12 Multiple Choice

    Solve the following system of equations:

    □ x = 1, y = 1

    □ x = 2 ± 2
    y = -4 2

    □ x = 2; y = 1

    □ x = -2 2
    y = 4 2

    Question 13 Multiple Choice

    The design specifications for a cross section of a beam gives a ratio of width to height of 0.6. If a contractor wants to maximize the beam size fitting through a square opening with an area of 50 square cm, what are the ideal dimensions of the beam.

    □ height = 7.07 cm, width = 4.24 cm

    □ height = 5.00 cm, width = 3.00 cm

    □ height = 4.24 cm, width = 7.07 cm

    □ height = 6.00 cm, width = 3.60 cm

    Question 14 Multiple Choice

    Find the product.
    (4ax-3) (5ax+7)

    □ 9a2x2 + 2az - 4

    □ 20a2x2 + 13ax - 21

    □ 4a2x2 - 14ax - 21

    □ 20a2x2 - 15ax - 4

    Question 15 Multiple Choice

    What are the slope, y-intercept, and equation of the line formed by the points
    (-5, -10) and (12, 20)

    □ slope = 1.76, y-intercept = 1.18, y = -1.76x + 1.18

    □ slope = 1.76, y-intercept = -1.18, y = -1.76x - 1.18

    □ slope = 0.57, y-intercept = 13.2, y = -0.57x + 13.2

    □ slope = 0.57, y-intercept = -13.2, y = 0.57x - 13.2
    Question 16 Multiple Choice

    Convert 34º 48¢ to radian measure:

    □ 0.5934

    □ 0.6000

    □ 0.6074

    □ 0.6119

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    https://brainmass.com/math/complex-analysis/74080

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