Math 135Final Exam form B

Name

Please do this test on your own. Do not use any books, notes, or another person

Show all your work to receive full credits

1. Find the number of significant digits

340

0.00230

601

2. Which number is more precise? 23.4512

23.457

3. Which number is more accurate? 12.4

0.002

4. The terminal side of angle is passing through A ( 6 , 8 ). Find all six trigonometric

functions of angle . Round to three decimal places.

5. Solve the following right triangles. Round to the nearest whole number.

a=3 b=4

C= 90

6. sec = −1.45 find in degrees.

0 360 round to the nearest whole degrees

7. cos = 0.345 and cot 0 find in radians.

places

0 2 round to two decimal

8. The radius of a circle is 10 feet and the central angle is 60 . Find the length of

intercepted arc and area of sector. Round to three decimal places.

9. Solve the following triangle. C = 35

whole number

10. Solve the following triangle. c = 8 feet

whole number

B = 30

a=10 feet . round to the nearest

b = 10 feet

A = 60 round to the nearest

11. Evaluate. Round to two decimal places

log 234

log 2

70

Ln 40

e5

12. A tree has a shadow of 90 m and angle of elevation is 45 . How high is the tree?.

Round to one decimal place.

13. Convert 60 km per hour to ft per second. Round to the nearest whole number.

14. The cost of 10 pens is $30 and the cost of 12 pens is $38. Suppose the cost is a linear

function of number of pens. find

a. Graph the function

b. Slope. Round to one decimal place

C.

Find the linear equation of cost as a linear function of number of pens.

d. What does slope mean in the context of this problem?

15. A 40 ft statue has a shadow of 32.6 ft long. Find angle of elevation of the sun. Round to one

decimal place.

II

I

Sin and csc are positive

Cos and sec are negative

all are positive

Tan and cot are negative

Sin and csc are negative

sin and csc are negative

Cos and sec are negative

cos and sec are positive

Tan and cot are positive

tan and cot are negative

2

a

b

c

=

=

sin A sin B sin C

S = r

A=

1 2

r

2

a 2 = b 2 + c 2 − 2bc cos A

b 2 = a 2 + c 2 − 2ac cos B

c 2 = a 2 + b 2 − 2ab cos c

Common Conversion Factors

Units of Length

1

1

1

1

kilometer (km) = 1000 meters (m)

meter (m) = 100 centimeters (cm)

meter (m) = 1000 millimeters (mm)

centimeter (cm) == 0.00001 kilometers (km)

1 mile (mi) = 1.6093 kilometers (km)

1 foot (ft) = 0.3048 meters (m)

1 inch (in = 2.54 centimeters (cm)

1 mile (m9) = 1760 yards (yd)

1 mile (mi) = 5280 feet (ft)

1 yard (yd) = 3 feet (ft)

1 foot (ft) = 12 inches (in)

1 kilometer (km) = 0.6214 miles

(mi)

1 meter (m) = 3.2808 feet (ft)

1 centimeter (cm) = 0.3937 inches

(in)

Units of Volume

1

1

1

1

8

2

liter (L) = 100 centiliters (cL)

liter (L) = 1000 milliliters (mL)

milliliter (mL) = 1 cubic centimeter (cm3 or cc)

gallon (gal) = 4 quarts (qt)

ounces(OZ) = 1 cup ©

cups = 1 pint ( Pt)

1

1

1

1

liter (L) = 0.264 gallons (gal)

liter (L) = 1.057 quart (qt)

gallon (gal) = 3.785 liters (L)

quart (qt) = 0.946 liters (L)

2 pints = 1 Quart

Units of Mass

1 kilogram (kg) = 1000 grams (g)

1 gram (g) = 1000 centigrams (cm)

1 gram (g) = 1000 milligrams (mg)

1 pound (lb) = 16 ounces (oz)

x=−

b

2a

−b b2 − 4ac

2a

y − y1 = m( x − x1 )

1 kilogram (kg) = 2.2046 pounds

(lb)

1 pound (lb) = 0.4536 kilograms

(kg)

1 pound (lb) = 453.6 grams (g)

1 ounce (oz) = 28.35 grams (g)

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