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**40.2"**- 80.4"
- 20.1"
- 32.2"

40.2"

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### Find the measure of Angle B

### In Triangle ABC, if the measure of angle C is 90, the measure of angle A is 32, length of side AC is 13, find the length of BC.

- 8.1

### If a right triangle has a side lengths of 24 and 12.37 what would be the length of the hypotenuse?

- 27

### Solve for x given that the tanθ =0.4

- not enough information

### solve for y

### Find the length of side x

### In Triangle ABC if Angle C is 90º side AC is 13, side CB is 4, what is the measure of Angle A?

- 17.1

### True or False: Capacitive Reactance and Resistance are both measured in the same unit: ohms

- True

### True or False: Capacitive Reactance and Capacitance are the same thing and are both measured in Farads

- False

### True or False: A .01 microFarad capacitor will have MORE capcitive reactance than a .05 microFarad capacitor

- True

### True or False: a circuit with a higher frequency will have MORE capacitive reactance than an identical circuit with a lower frequency

- False

### What will be the capacitive reactance on a 2 Farad Capacitor with an AC frequency of 50 Hz?(Hint: Xc = 1/(6.28 *C*f)

- 0.0016 ohms

### True or False: when using a capacitor, the current sine wave will have a 90 degree phase shift ahead of the voltage sine wave

- False

### When the frequency is 60 Hz, the capacitive reactance on a capacitor is 40 ohms. If the frequency is doubled to 120 Hz, what will the capacitive reactance be now?

- 20 ohms

### In a circuit with 60 Hz frequency, and an 88 microFarad capacitor, the capacitive reactance is approximately 30 ohms. If the capacitor is replaced by one half as big, 44 microFarads, what will be the new capacitive reactance?

- 60 ohms

### A series circuit has an RMS voltage of 12 V AC, and two capacitors with reactances of 1 ohm and 2 ohms. What will be the total current in this circuit?

- 4 amps

### A parallel circuit has an RMS voltage of 12 V AC, and two identical capacitors with reactances of 2 ohms. What will be the total current in this circuit?

- 12 amps

### The unit for inductance is:

- Henry

### The unit for inductive reactance is:

- Ohm

### An inductor has an inductance of 4 Henrys. The current changes from 40 to 48 amps in one second. What will be the voltage induced on the inductor?(V = L (di/dt)

- 32 V

### A circuit has 100 mH inductor and a frequency of 2000 Hz. What will be the inductive reactance on that inductor?

- 1256 Ohms

### True or False: a DC circuit with 2 amps and a 2 Henry inductor will have an induced voltage of 4 V

- True

### True or False: Increasing frequency increases the induced voltage on an inductor

- True

### True or False: Increasing frequency increases the inductive reactance on an inductor

- True

### Which of the following will have the biggest impact on the inductance of a coil of wire?

- The number of windings

### The frequency on an inductor goes from 50 to 100 Hz. What will happen to the inductive reactance?

- It will double

### A simple circuit has three inductors in series. Their inductive reactances are: 100 ohms, 200 ohms, and 300 ohms. What will be the total inductive reactance in this circuit?

- 600 ohms

### True or false, an inductor can be used to filter AC current, while allowing DC to pass through unimpeded?

- True

### Where does the reactance on an inductor come from?

- The induced voltage opposes the applied voltage, cancelling it out

### An inductive circuit has a 20 ohm resistor, a 10 ohm inductor, and a 5 ohm inductor in series. What will be the total impedance on this circuit?

- 35 ohms

### An inductive circuit has a total voltage of 120 volts, and a total current of 10 amps. What will be the equivalent impedance (Z) for this circuit?

- 12 ohms

### A 120 volt parallel circuit has three branches. Two resistors have resistances of 60 ohms and 120 ohms. An inductor has an inductive reactance of 30 ohms. What will be the total current in this circuit?

- 7 amps

### A 120 volt parallel circuit has a resistor with 20 ohms of resistance, and an inductor with 10 ohms of inductive reactance. What will be the impedance for this circuit?

### True or False: Increase inductive reactance will always lead to a decrease in impedance in all circuits

- False

### In inverse proportions the relationship between 2 quantities is one that when one variable increases the other decrease, so that what remains the constant?

- product

### Direct proportion is the relation between 2 quantities, whose constant is the

- ratio

### You earn $133 in 8 hours. At that rate how much would you earn in 5 hours?Which of the following is an incorrect way to set up the ratio to solve the above problem?

- 5/8 = x/133
- 133:8x:5
- 8:133x:5

### Which of the following proportions will correctly solve the following? If there are 2.54 cm in 1", how many inches are in 390cm?

- 2.54cm/1 in = x in/390 cm
- 2.54 cm/1 in = 390 cm/x in

### If there are 2.54 cm in 1 inch, how many inches are there in 390 cm. Rounded to the nearest thousandth.

- 153.543

### Given 1m is approximately 3.28' and a length of wire measures 84', how many meters is this? *round to the nearest hundredth

- 25.61

### Which ratio would give you the cost of 6 filters, if 8 filters cost 39.92?

- 8/39.92=6/x

### If 1 gallon of paint covers 825 square feet, how many gallons of paint need to be purchased to cover 2640 square feet?

- 4

### A map scale designates 1" = 50 mi. If the distance between 2 towns is 2.75" how many miles must you drive from the 1st town to the 2nd?

- 137.5 mi

### If A is inversely proportional to B, when A is 10, B is 2. Find A when B is 8.

- 2.5

### If you were to share a bonus with 7 employees, each person would receive $142.86. If you had to disperse that among 5 employees, how much would each person receive?Which of the following could I use to solve the problem?

- 142.86 x 7 / 5

### A distance of 360km can be covered in 3 hours at a rate of 120 kph. At what rate would you travel to compete the distance in 4 hours?

- 90

### It takes 5 employees 8 hours to complete a job. How many hours will it take 3 employees to do the job Working at the same rate?

- 13 hours 18 min

### In a capacitor, there will be a phase shift of how many degrees between the voltage and current?

- 90 degreees

### What unit is Impedance (Z) measured in?

- Ohms

### A circuit has a resistor with 5 V and a capacitor with 10V. What will be the total voltage in the circuit?

- 15V

### In a series circuit, a resistor has 300 ohms of resistance, and a capacitor has 400 ohms of capacitive reactance. What is the total impedance in this circuit?

- 500 ohms

### A series circuit with 100V has a resistor with 300 ohms, and a capacitor with 400 ohms. What will be the total current in this circuit?

- 200 mA

### A series circuit with 100V has a resistor with 300 ohms and a capacitor with 400 ohms. What will be the voltage drop on the capacitor?

- 60 V

### A parallel circuit has a 120V power supply. A resistor has 30 ohms of resistance, and a capacitor has 40 ohms of capacitive reactance. What will be the branch current on the resistor?

- 4 A

### A parallel circuit has a 120V power supply. A resistor has 30 ohms of resistance, and a capacitor has 40 ohms of capacitive reactance. What will be the branch current on the capacitor?

- 3 A

### A parallel circuit has a 120V power supply. A resistor has 30 ohms of resistance, and a capacitor has 40 ohms of capacitive reactance. What will be the total current in the circuit?

### A parallel circuit has a 120V power supply. A resistor has 30 ohms of resistance, and a capacitor has 40 ohms of capacitive reactance. What will be the total impedance in this circuit?

- 24 ohms

### A series circuit has 60 ohms of inductive reactance, and 80 ohms of capacitive reactance. What will be the total reactance of the circuit?

- 20 ohms

### A 120V parallel circuit has two branches, one with a capacitor with 120 ohms of reactance, the other with an inductor with 30 ohms of reactance. What will be the total current in this circuit?

- 5 amps

### A series circuit has 10V and 2 ohms of capactive reactance, and 3 ohms of inductive reactance. What will be the total current in this circuit?

- 10 amps

### An RLC series circuit has a 40 ohm resistor, a 20 ohm inductor, and a 50 ohm capacitor. What will be the total impedance in this circuit?

- 50 ohms

### An RLC series circuit has a 40 ohm resistor, a 20 ohm inductor, and a 50 ohm capacitor. What will be the total current in the circuit if there is a 100 V, alternating current power supply?

- 2 amps

### An RLC series circuit has a 40 ohm resistor, a 20 ohm inductor, and a 50 ohm capacitor. What will be voltage drop on the capacitor if there is a 100V AC power supply?

- 100 V

### An RLC parallel circuit has 240 Volts, and three branches. The first branch has a resistor with 60 ohms, the second branch has an inductor with 40 ohms, and the final branch has a capacitor with 120 ohms. What will be the branch current for the capacitor?

- 2 amps

### Find the circumference of a circle given the radius is 18cm.

- 113.04 cm

### Find the diameter of a circle, given the area of a circle is 615.44 m2

- 28m

### What is the area of a triangle, that has a base of 3' and a height of 6'?

- 9 sq ft

### What is the measure of the base of a triangle that has an area of 40 sq in and whose height measures 4"?

- 20"

### Find the height of a triangle if it's area is 9.919 sq units and it's base is 2 5/6 units(that is a mixed number and not an improper fraction). Round answer to the nearest hundredth.

- 7.00 units

### If the area of a square is 46.24. What is the perimeter of the square?

- 27.2

### Given the length of a rectangle is 8 and the perimeter is 56, find the diagonal.

- 21.54

### In a rectangular room, one side is 5' longer than the other. If the perimeter of the room is 220', what is the length of the shorter side?

- 52.5'

### If the perimeter of a square is 72", what is it's area?

- 324 sq in

### Find the area of a rectangle in feet, with a base of 2 yards and a height of 5 feet.

- 30 sq ft

### If the circumference of a circle is 24m, calculate the diameter. (Round to the nearest hundredth)

### Solve for xx + 7y = 5x - 7y = -9

### solve for yx + 7y = 5x - 7y = -9

### Solve for x5x - 3y = 6-5x+2y = 1

- -7
- -3

### Solve for x3x -6y = 24y = 1-2x

### Solve for y3x -6y = 24 y = 1-2x

- 2
- -3

### Solve for a3a + 5b = -45a - 2b = -17

- 1
- -3

### Solve for b3a + 5b = -45a - 2b = -17

### solve for x 3.4x -4.8y = 20.8 x + 2.4y = 4

### Solve for y3.4x -4.8y = 20.8x +2.4y =4

### solve for xy = 1/3x-13x -2y = 4

- 0
- -.714

### solve for yy = 1/3x -13x-2y =4

### Which of the following is a correct first step to evaluate y?3x + 2y = 82x + 5y = -2

- 15x + 10y = 404x + 10y = -4

### The inside diameter of a 3" conduit is 3.375" and the outside diameter is 3.9375". What is the wall thickness of this conduit?

### If a piece of cable 160' long cost $60, what will 500' cost?

- $187.50

### If a piece of cable 160' long cost $60, what will 500' cost?

- $187.50

### An electrical repair team of 12 workers completes a job in 288 hours. At the same rate how long will it take 9 workers to do the same job?

- 384 hours

### If a loading ramp is 8' long and is placed from ground level to the top of a loading platform, the platform is 1.5' high. What is the angle of the incline?

- 10.81 degrees

### A 24' ladder is used to make a service entrance connector to a building. The bottom of the ladder cannot be more than 6' from the building. What is the minimum height at which the ladder will be touching the building?

- 23.24'

### What is the ratio of one generator with an output of 3,500w to a second generator with an output of 24,500w?

- 1:7

### Given that v = l x w x h (product is written in cubic inches)If the volume of a 4" square electrical box is 24 cu in, what would the depth be?

- 1.5"

### A square surface cover is 10.16cm on each side. The knockout in the center of the cover has a diameter of 1.27cm. Find the area of the cover.

- 101.954 cm sq

### A wire whose resistance is 5.075 ohms has a diameter of 31.961 mils. What is the resistance of a wire of the same material and length if the diameter is 40.303 mils. *Resistance varies inversely as the square of the diameter.

- 3.19 ohms

### The roof on a storage shed is 7.3' wide, with an incline of 20 degrees for drainage. What is the height of the roof?*draw a pic and label to help

- 2.66'

### A steel sleeve bearing has an outside diameter of 2 1/2" ( two and a half) and an inside diameter of 2 1/8" ( two and one eighth) and must have a babbitt inserted to fit a shaft that has a diameter of 1.609". What is the thickness of the babbitt?

- .516"

### A parallel AC circuit draws 8 amps of current through a purely resistive branch and 14 amps of current through a purely inductive branch. Calculate the total current.

- 16 A

### An RLC parallel circuit has 240 Volts, and three branches. The first branch has a resistor with 60 ohms, the second branch has an inductor with 40 ohms, and the final branch has a capacitor with 120 ohms. What will be the total impedance for this circuit?

### In order to find side x with the information given, which trig function would not work?

### True or False, in a step up transformer, more total power is magically added to the circuit?

- False

### True or False: Transformers will have the same overall power (volts x amps) on both the primary (input) and secondary (output) parts of the circuit.

- True

### True or False: Direct Current (DC) is not compatible with transformers, which is one reason Alternating Current became the economical choice for the power grid.

- True

### True or False: There is no electrical, wire connection between the primary (input) and secondary (output) sides of a transformer. The transfer of energy happens via magnetic field only.

- True

### True or False, whichever side in a transformer has less windings in its coil will have the higher voltage.

- False

### The input of a transformer has 20 coils, and the output has 80 coils. This transformer will be a:

- Step Up

### The input of a transformer has 20 coils, and the output has 80 coils. If there are 120 volts on the input side, how many volts will be output?

- 480 volts

### The input of a transformer has 90 coils, and the output has 30 coils. If there are 120 volts on the input side, how many volts will be output?

- 40 volts

### If the voltage double in a step up transformer, what will happen to the current?

- It will be cut in half

### The primary side of a transformer has 1500 windings, and the secondary side as 100 windings. There are 30,000 volts and 1 amp on the primary side. What will be the current on the secondary side?

- 15 amps

### What is a relay in electricity terms?

- An electromagnetic switch that is activated by a current creating a magnetic field

### True or False: By using relays, a single operator can control many circuits from one convenient location.

- True

### True or False: A VAR is the measure of power used by Resistance?

- False

### The musical process of call-and-response, which is linked integrally to the subject of musical texture, involves Blank______.

### The American revolutions was different rather than demanding new _____, they were fighting for _____ they had been exercising.

### One of the features of an ostinato is that it Blank______.

### The Declaration of Independence details all of the following American ideals except

### When a single melodic or rhythmic line is divided among two or more instruments or voices, the result is textures based on Blank______.