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Anon25 [30]
4 years ago
9

Given that x and y are real numbers find the possible values of x and y if (x+y)+(x-y)i=7+3i

Mathematics
1 answer:
atroni [7]4 years ago
5 0

(x+y)+(x-y)i=7+3i

x+y =7

x-y =3

add these two equations together

x+y =7

x-y =3

------------------

2x = 10

divide by 2

x=5

x+y = 7

5+y =7

subtract 5 from each side

y =2

Answer: x=5

             y=2

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Latitudes Pittsburgh, Pennsylvania, and Miami, Florida, lie approximately on the same meridian. Pittsburgh has a latitude of 40.
Debora [2.8K]

Answer:

r = 1036.725\,mi

Step-by-step explanation:

The distance per unit grade on Earth is:

\Delta s = \frac{2\pi\cdot (3960\,mi)}{360}

\Delta s \approx  69.115\,miles

The distance between Pittsburgh and Miami is:

r = (69.115\,mi)\cdot (40.5^{\textdegree}-25.5^{\textdegree})

r = 1036.725\,mi

4 0
3 years ago
To paint his room ted prepared 2 gallons of a paint mixture at a ratio of 3:1 white to blue. If he later decide to dilute the co
earnstyle [38]

Answer:

White = 1.67 gallons

Blue = 0.33 gallons

Step-by-step explanation:

White : blue = 3 : 1

Total ratio = 3 + 1

= 4

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White = 3 /4 × 2

= 6 /4

= 3/2 gallons

Blue = 1 / 4 × 2

= 2/4

= 1/2

If he later decide to dilute the color to a ratio of 5:1

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= 6

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Or

= 1.67 gallons

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4 0
3 years ago
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Pani-rosa [81]
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8 0
3 years ago
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30 Yuri has two plum trees, A and B. in his garden
telo118 [61]

Answer:

42kg

Step-by-step explanation:

We are given the amount of plums produced from Tree A. We simply need to <u>find the amount produced by Tree B</u> and <u>add</u> the two numbers up.

Step 1:

Tree B produces 10% more than Tree A, which produces 20kg of plums:

B=\frac{110}{100} *\frac{20}{1} \\\\B=\frac{110}{5}=\\\\B=22

Ok! Tree B produces 22kg of plums. Let us find the total amount of plums Yuri gets from both trees.

Step 2:

Total=A+B\\\\Total=20+22\\\\Total=42

<u>Yuri gets 42 kg of plums from the trees.</u>

<u />

<em>I hope this helps! Let me know if you have any questions :)</em>

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4 0
3 years ago
Sue Stitch buys a sewing machine. The price, including tax, is $575.00. She finances the sewing machine over 24 months after mak
ikadub [295]
Hi there!

To the nearest penny, c = $85.94.

Total of payments = amount financed + c = $635.94.

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5 0
4 years ago
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