The Venn diagram below shows survey results of the cities visited by a group of people on a recent trip to Europe.

The product $c_1 c_2$ in rectangular frame is [tex]\$10 e^{i(2\theta \pm \frac{pi}{3})}\$.[/tex]

Let $c_1$ and $c_2$ be the two complex numbers that frame an even triangle with $3+2i$ and $6+i$.

The dispose of between two complex numbers $a$ and $b$ is given by $|b-a|$. Since the triangle is even, the wipe out someplace in the scope of $3+2i$ and $6+i$ ought to be equivalent to the underlying venture with to the kill among $3+2i$ and $c$, conjointly make back the underlying speculation with to the take out among $6+i$ and $c$.

So, we have the following conditions:

$|6 + i - (3 + 2i)| = |c - (3 + 2i)|$

$|6 + i - (3 + 2i)| = |c - (6 + i)|$

Tackling these conditions, we get:

$|3 - i| = |c - (3 + 2i)|$

$|3 - i| = |c - 6 - i|$

Presently, let's discover the esteem of $c$:

$|c - (3 + 2i)| = |3 - i|$

[tex]\$|c - (3 + 2i)| = \sqrt{(3-0)^{2} + (-1-0)^{2} = \sqrt{10}\$[/tex]

So, [tex]\$c - (3 + 2i) = \pm \sqrt{10} e^{i\theta}\$[/tex], where [tex]\$\theta\$[/tex] is the point between the positive genuine hub and the line interfacing $3+2i$ and $c$?

Presently, let's discover the esteem of $c$ utilizing the moment condition:

$|c - (6 + i)| = |3 - i|$

[tex]\$|c - (6 + i)| = \sqrt{(3-0)^{2} + (-1-0)^{2} = \sqrt{10}\$[/tex]

So, [tex]\$c - (6 + i) = \pm \sqrt{10} e^{i\theta'}\$[/tex], where [tex]\$\theta'\$[/tex] is the point between the positive genuine hub and the line interfacing $6+i$ and $c$?

Since the triangle is equilateral, $theta$  [tex]\$\theta'\$[/tex] must vary by [tex]\$\pm[/tex] [tex]\frac{\pi}{3}\$.[/tex]

Presently, let's discover the item $c_1 c_2$:

$c_1 c_2 = (c - (3 + 2i))(c - (6 + i))$

$c_1 c_2 =[tex](\pm \sqrt{10} e^{i\theta})(\pm \sqrt{10} e^{i(\theta \pm \frac{\pi}{3})})\$[/tex]

$c_1 c_2 = [tex]10 e^{i\theta} e^{i(\theta \pm \frac{\pi}{3})}\$[/tex]

$c_1 c_2 = [tex]10 e^{i(2\theta \pm \frac{\pi}{3})}\$[/tex]

So, the item $c_1 c_2$ in rectangular frame is [tex]\$10 e^{i(2\theta \pm \frac{\pi}{3})}\$.[/tex]

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Answer:

[tex]5 \sqrt{3i} [/tex]

Step-by-step explanation:

[tex] \sqrt{ - 108} - \sqrt{ - 3} [/tex]

[tex] \sqrt{ - 1} (108) - \sqrt{ - 3} [/tex]

[tex]i \times \sqrt{108} - \sqrt{ - 3} [/tex]

[tex]i(6 \sqrt{3} ) - \sqrt{ - 3} [/tex]

[tex]6i \sqrt{3} - \sqrt{ - 3} [/tex]

[tex]6i \sqrt{3} - i \sqrt{3} [/tex]

[tex]5 \sqrt{3i} [/tex]

Answer:

$-280

Step-by-step explanation:

Tiffany withdrew $20, 14 times. a withdrawal means the amount in her account would reduce.

total change in balance = 20 x 14 = 280

because it is a withdrawal, a negative sign would be attached

Answer: -280

Step-by-step explanation:

Step-by-step explanation:

a) A & B are tangent points and that makes angle AFB = 90°

b) Since line DB is a diameter, that makes arcADB a semicircular arc.

c) We know that A & B are tangent points which makes the figure AFBC a square.

Answer:

its c

Step-by-step explanation:

just add 1/2 +2/3 = 1 1/6

Total distance of the girls walk all together is 7/6 of a mile.

Here,

Given that;

Amy and Myra each walked from their houses to the mall.

Amy walked one half a mile and Myra walked two-thirds of a mile.

We have to find the total distance of the girls walk together.

What is Distance?

Distance is the total movement of an object without any regard to direction. We can define distance as to how much ground an object has covered despite its starting or ending point.

Now,

Amy walked one half a mile.

⇒ 1/2

Myra walked two-thirds of a mile.

⇒ 2/3

Hence,

Total distance of the girls when they walk together = [tex]\frac{1}{2} + \frac{2}{3}[/tex]

                                                                              = [tex]\frac{3+4}{6}[/tex]

                                                                              = [tex]\frac{7}{6}[/tex]

So, Total distance of the girls walk all together is 7/6 of a mile.

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Answer:

Step-by-step explanation:

i dont know

========================================================

Explanation:

Draw a horizontal line through 10 on the y axis. This is because R(x) = 10 is the same as y = 10. The output of the function is the y value.

See the diagram below.

The horizontal line crosses the parabola at two locations. From those points, draw a vertical line straight down to the x axis. Note how we land at x = 2 and x = 10. This means that R(2) = 10 and R(10) = 10.

5dgji

Step-by-step explanation:

how???? ... hope it is good

Answer:

You could divide 4 from both sides first

Answer:

C. 96

Step-by-step explanation:

95 + 98 + 89 + 92 + 94 + 96 = 564

564/6 = 94

Answer:

C.) 96

Step-by-step explanation:

First of all, to find the average you need to add up the values given then divide the total by the number of values. Since we already have some of the values given which are 95, 98, 89, 92, and 94, we're going to add them up. Once you add them, you should get a total of 468. Now, we add another value that is in the answer choices because we're figuring out what Maggie needs to score on her science test to get a 94 as her final. We then would add 94 to the total which should give us 562. Next, we divide 562 by however many values we have which is 6. Once the total is divided by 6, the quotient should be 93.666.... As you can see, it doesn't give us 94, thus making A not the correct answer. You will continue to do this with the other answer choice questions until you get 94.

Here is a less wordy way to find the answer:

1.) Add up the values given

2.) Pick an answer choice and add the value to the total

3.) Divide by however many values are there

4.) Continue this until you find the correct answer

95 + 98 + 89 + 92 + 94 = 468

Pick an answer choice

468 + 96 = 564

Count the total values, including the answer choice

564 ÷ 6 = 94

Answer:

Rs 1,437.5

Step-by-step explanation:

VAT = 15% = 15/100 × Rs 1250 = Rs 187.5

the price inclusive of VAT = Rs 1,250 + Rs 187.5

= Rs 1,437.5

Answer: 234 inches

Step-by-step explanation:

The billboard is 6 meters long and we are given the conversion factor for centimeters to inches.

To convert the length to inches therefore, convert the length from meters to centimeters first:

1 meter = 100 cm

6 meters would therefore be:

= 6 * 100

= 600 cm

1 cm = 0.39 inches so 600 cm is:

= 600 * 0.39

= 234 inches

c is the answer

good luck  :))))

I believe the correct answer is:

4/4 + 3/4 + 2/4 = 9/4 (The one in the bottom right corner)

I hope this helps! :D

Answer:( -3, 10)

Step-by-step explanation:

Answer:

the common difference is 6.

Step-by-step explanation:

Given;

first term of an AP, a = -7

let the common difference = d

The third term is written as;

T₃ = a + 2d

The eight term is written as;

T₈ = a + 7d

The ratio of the eight term to third term = 7:1

[tex]\frac{T_8}{T_3} = \frac{7}{1} = \frac{a+ 7d}{a + 2d} \\\\7 = \frac{a+ 7d}{a + 2d}\\\\Recall, a = -7\\\\7 = \frac{-7+ 7d}{-7 + 2d}\\\\7(-7 + 2d) = -7+ 7d\\\\-49 + 14d = -7 + 7d\\\\14d -7d = -7 + 49\\\\7d = 42\\\\d = \frac{42}{7} \\\\d = 6[/tex]

Therefore, the common difference is 6.

Answer:

5.656854

Step-by-step explanation:

So technically, the distance is the hypotenus of the right triangle that forms.

That means we find the square root of 32, or the hypotenuse

[tex]\sqrt{32} = 5.656854[/tex]

Look at picture below for what I mean.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

RSVUT IS THE CORRECT ANSWER

Answer:

about 33.52 in^3

Step-by-step explanation:

Volume of composite figure = volume of cone + volume of hemisphere

Volume of a cone = 1/3(nr^2h)

n = 3.14

r = radius  

h = height

1/3 x 3.14 x 2^2 x 4 = 16.74 inches^3

volume of a hemisphere = (2/3) x (n) x (r^3)

n = 3.14

r = radius

2/3 x 3.14 x 2^3 =  16.74 inches^3

16.74 inches^3 +  16.74 inches^3 = 33.49

Step-by-step explanation:

Well "Sum" im sure is adding, so it would be close to 3 + n

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

see in picture .

you can find your answer

Answer:

only 11 days

Step-by-step explanation:

Answer:

$42.50

Step-by-step explanation:

discount reduces the price of the good

discount value = 15% x 50 = 0.15 x 50 = 7.5

sales price = 50 - 7.5 = 42.50

Answer:

friend me on here and imma send you the link Step-by-step explanation:

Answer:

Fernando does not have enough clay to finish the structure since, the expressions for the volume left are not the same.

Step-by-step explanation:

Let w be the length of the longest slab. Since each slab is 2 inches less than the one beneath it, we have the width of the other 3 slabs as w - 2, w - 2 - 2 = w - 4 and w - 4 - 2 = w - 6 respectively.

Since the base of each slab is a square and has thickness 2 inches, the volume of each slab from largest to smallest is thus 2w², 2(w - 2)², 2(w - 4)² and 2(w - 6)² respectively.

We have that we have half of the container of clay left after forming the first two slabs(which are the bottom-most slabs). Let V be the volume of each clay container. Since we have half left, that is V/2, we have used 2V - V/2 = 3V/2 to make the two bottom-most slabs.

So, 3V/2 = 2w² + 2(w - 2)²

= 2w² + 2(w² - 4w + 4)

= 2w² + 2w² - 8w + 8

= 4w² - 8w + 8

= 4(w² - 2w + 2)   (1)

Also we want to know if V/2 is equal to the volume of the two top-most slabs.

So, V/2 = 2(w - 4)² + 2(w - 6)²

= 2(w² - 8w + 16) + 2(w² - 12w + 36)

= 2w² - 16w + 32 + 2w² - 24w + 72

= 4w² - 40w + 104

= 4(w² - 10w + 26)

From (1) V/2 = 4(w² - 2w + 2)/3 ≠ 4(w² - 10w + 26)

Since the expressions for the remaining volume are not the same, Fernando does not have enough clay to finish the structure.

Answer: that is a less than sign or symbol

Step-by-step explanation:

Answer: Less than or Equal to

Answer:

x = 40°

Step-by-step explanation:

using the angle sum theorem...

180 - 90 - 91 - 51 = 40

Answer:

Step-by-step explanation:

51+x+90+91=360(sum of four angles is always 360 degree)

232+x=360

x=360-232

x=128

Answer:

5894.82 ft^3

Step-by-step explanation:

We have to split the figure into two parts and then find the volume of both and add. The figure is split into a cylinder and hemisphere. The volume of the cylinder is 4823.04 ft^3 because the formula to find the volume of a cylinder is pi(r^2)h. The volume of the hemisphere is 1071.78 ft^3. Now, we have to add those volumes to get our final answer. 4823.04 + 1071.78 = 5894.82.

Answer:

4x=300

4y=400

y=100

x=75

6×75 =450

2×100=200

a=450

b=200

y for beef

x for vegetables