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3 years ago

What is the distance from the origin to point P graphed on the complex plane below?

Mathematics

1 answer:

seraphim [82]3 years ago

3 0

Answer:

b) square root of 29

Step-by-step explanation:

i just took it on edge

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A factory makes an oil mixture by mixing oils of grades A and B as follows. For every 2.3 liters of grade A oil, 1.2 liters of g

lozanna [386]

<span>To produce 1000L of mixture the factory will need 657 liters of grade A and 343 liters of grade B. To determine this you have to figure out the percentage of each grade in the mixture. The ratio is 2.3 liters to 1.2 liters. Therefor in this scenario the unit equaling 100% is 3.5 liters. To find the percentage of grade A you divide the amount used by the total amount of the unit 100%: 2.3 divided by 3.5 = .657 (multiply the answer by 100 to get 65.7%). To find the percentage of grade B you divide the amount used by the total amount of the unit 100%: 1.2 divided by 3.5 = .343 (multiply the answer by 100 to get 34.3%) To test your answer make sure both percentages add up to 100%: 65.75 plus 34.35 = 100% To determine how much of grade A and grade B is needed for a set amount of liters you multiply the percentage by the liters needed. For this situation you multiply 65.7% (when multiplying percentages you need to multiply in decimal form). For grade A you multiply .657 (65.7%) by 1000 liters = 657 liters For grade B you multiply .343 (34.3%) by 1000 liters = 343 liters To test your answer you can use the same addition as you did to test the percentages: 657 liters plus 343 liters = 1000 liters</span>

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3 years ago

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Which systems have infinite solution? check all that apply

Sergeu [11.5K]

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2 years ago

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What is bigger 24 fl. Oz. Or 8 cups?

Rudik [331]

Answer:

8 Cups.

Step-by-step explanation:

8 Cups is 64 Fl Oz, while 24 Fl Oz is only 3 cups.

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3 years ago

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Matt's family rented a car to go on vacation the cost of the rental was $50 plus an additional $0.20 per mile driven his family

bagirrra123 [75]

1) 300miles X $0.20 = $60

2) $50 + $60 = $110

They spent $110 for the car.

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3 years ago

Hi please help me thanksss<br>pls provide workings too thanks :)

anygoal [31]

Step-by-step explanation:

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Class 11

>>Maths

>>Trigonometric Functions

>>Trigonometric Equations

>>Solve for x: sin x + sin 2x...

Question

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Solve for x:sinx+sin2x+sin3x=cosx+cos2x+cos3x in the interval 0≤x≤2π.

Medium

Solution

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We write the given equation as

(sinx+sin3x)+sin2x=(cosx+cos3x)+cos2x

or 2sin2xcosx+sin2x=2cos2xcosx+cos2x

or sin2x(2cosx+1)=cos2x(2cosx+1)

or (sin2x−cos2x)(2cosx+1)=0

∴sin2x−cos2x=0 or 2cosx+1=0

If sin2x−cos2x=0, then tan2x=1,

Hence 2x=nπ+π/4

or x=(4n+1)

.(1)

If 2cosx+1=0, then cosx=−1/2 (2)

∴x=2nπ±

2π

or x=

6n±2

We seek values of x in the interval 0≤x≤2π

In this interval (1) gives

x=π/8,5π/8,9π/8,13π/8. (n=0,1,2,3)

and (2) gives x=2π/3,4π/3. (for n=0,1)

Thus we get the answer

x=π/8,5π/8,2π/3,9π/8,4π/3,13π/8.

4 0

2 years ago