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3 years ago

Cos theta -2sin theta cos theta =0

1 answer:

4 0

Cos(Ф) - 2sin(Ф).cos(Ф) =0

Factorize--> cos(Ф)[ 1-2sin(Ф)] =0

a) cos(Ф) = 0 ==> Ф= 0 or (0+2kπ)

b) 1-2sin(Ф) =0 ==> -2sin(Ф) = - 1 ==> sin(Ф) =1/2 Or

sin(Ф) = 1/2 ==> Ф =π/3 OR π/3 + (k+1)π/3

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Damerly Company (a Utah employer) wants to give a holiday bonus check of $250 to each employee. Since it wants the check amount

Marat540 [252]

Answer:

Withholding taxes

Federal income tax withheld= $100.24

OASDI tax withheld=$24.86

HI tax withheld=$5.81

Utah income tax withheld=$20.05

Gross amount= $400.96

Step-by-step explanation:

Amount per employee(desired net pay)= $250.00

Federal rate=25%=0.25

OASDI tax=6.2%=0.062

HI tax witheld= 1.45%=0.0145

Utah income tax=5%=0.05

Combined taxes= 0.25+0.062+0.0145+0.05=0.3765

Gross pay=Desired net pay/(1-all taxes)

Gross pay= 250/(1-0.3765)=250/0.6235=400.96

Working backwards

Since we have gross bonus of $400.96

Federal income tax withheld is 0.25of$400.96= $100.24

OASDI tax is 0.062of$400.96=$24.86

HI tax is 0.0145of$400.96=$5.81

Utah income tax is 0.05of$400.96=$20.05

Total deductions=$100.24+$24.86+$5.81+$20.05= $150.96

Net income is $400.96-$150.96= $250.00

6 0

3 years ago

solve 2x2 12x − 14 = 0 by completing the square. 2(x 6)2 = 26; x = −6 square root 13, x = −6 − square root 132(x 6)2 = 20; x = −

coldgirl [10]

Assuming that the blank space is a plus
2x^2+12x-14=0

isolate x
(2x^2+12x)-14=0
undistribute 2
2(x^2+6x)-14=0
take 1/2 of 6 and square and add negative and positive
2(x^2+6x+9-9)-14=0
factor perfect squrae
2((x+3)^2-9)-14=0
distribute
2(x+3)^2-18-14=0
2(x+3)^2-32=0
2(x+3)^2=32
divide 2
(x+3)^2=16
sqrt
x+3=+/-4
minus 3
x=+/-4-3
x=-7 or 1
2nd to last option

5 0

4 years ago

2019 Chapter Sprint Round, #20

nadezda [96]

Answer:

$Speed\ of\ car=38\ km/h$

Step-by-step explanation:

Distance Covered by Horse:

$Speed\ of\ horse=50\ km\h=50\times \frac{1000}{60}\ meter/ minute\\\\Speed\ of\ horse=\frac{2500}{3}\ meter/minute\\\\Distance\ covered\ in\ 4\ minutes=speed\times time=\frac{2500}{3}\times 4\\\\Distance\ covered\ in\ 4\ minutes=\frac{10000}{3}\ meters\\\\$

Distance covered by Car:

$Let\ speed\ of\ car=x\ meter/minute\\\\time=4\ minutes\\\\Distance\ covered=speed\times time=4\times x=4x$

$Distance\ covered\ by\ horse=Distance\ covered\ by\ car+800\\\\\frac{10000}{3}=4x+800\\\\4x=\frac{10000}{3}-800\\\\4x=\frac{7600}{3}\\\\x=\frac{7600}{3\times 4}\ meter/minute\\\\x=\frac{7600}{3\times 4}\times \frac{60}{1000}\ km/h\\\\x=38\ km/h$

7 0

3 years ago

A Wheatstone quarter bridge is to be used to measure strain. The uncertainties in the supply (V_s) and output (V_o) voltages are

Ierofanga [76]

Answer:

Percentage of uncertainty=26%

Step-by-step explanation:

The solution and complete explanation for the above question and mentioned conditions is given below in the attached document.I hope my explanation will help you in understanding this particular question.

3 0

3 years ago

A line passes (-4,8) and (3,-7)

o-na [289]

Answer:

Step-by-step explanation:

The slope is -15/7

4 0

3 years ago