MATH 135 CCBC Algebra Worksheet

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)