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Studentka2010 [4]
2 years ago
12

Uh help please dont know whats wrong step by step will help a lot

Mathematics
1 answer:
Fittoniya [83]2 years ago
4 0

let's keep in mind that i² = -1, and let's use the conjugate of the denominator.

\cfrac{2+5i}{3-2i}\cdot \cfrac{3+2i}{3+2i}\implies \cfrac{(2+5i)(3+2i)}{\underset{\textit{difference of squares}}{(3-2i)(3+2i)}}\implies \cfrac{6+4i+15i+10i^2}{(3)^2~~ - ~~(2i)^2} \\\\\\ \cfrac{6+19i+10(\stackrel{i^2}{-1})}{9~~ - ~~(2^2 i^2)}\implies \cfrac{6+19i-10}{9~~ - ~~4(\underset{i^2}{-1})}\implies \cfrac{-4+19i}{9+4}\implies -\cfrac{4}{13}+\cfrac{19i}{13}

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Phoenix [80]

- a midline of a trapezoid is always half of the sum of the legs.

so,

2TW = UV + SX

now plug in and solve,

2(14p + 22) = 17p + 4p + 65

28p + 44 = 21p + 65

7p = 21

p = 3

<em>request: please mark brainiest, and click the thanks button if correct <3</em>

6 0
3 years ago
What is the area of the sector?
xeze [42]

Area of the sector is 981.3 cm²

Step-by-step explanation:

  • Step 1: Find the area of the sector where radius = 50 cm and central angle = 45°

Area of the sector = πr² (C/360), where r is radius and C is the central angle

⇒ Area = 3.14 × 50² × (45/360)

            = 3.14 × 2500 × 1/8

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8 0
3 years ago
Enter the values for the highlighted variables to complete the steps to find the sum: (see picture)
dangina [55]

Answer:

a = -1

b = -9

c = 9

d = 3

e = 3

f = 2

g = 3/2

Step-by-step explanation:

* Lets explain how to solve the problem

∵ \frac{3x}{2x-6}+\frac{9}{6-2x} are rational fractions

- To add or subtract the rational fractions they must have same

  denominator

∵ 6 - 2x must be written 2x - 6, take (-1) as a common factor from 6 - 2x

∴ - 1(-6 + 2x) = - 1(2x - 6)

∴ \frac{3x}{2x - 6}+\frac{9}{6-2x}=\frac{3x}{2x-6}+\frac{9}{-1(2x-6)}

∴ a = -1

∵ 9 ÷ -1 = -9

∴ =  \frac{3x}{2x-6}+\frac{-9}{2x-6}

∴ b = -9

∵ The denominators of the two fractions are 2x - 6

∴ We can add them by adding their numerator

∵ 3x + -9 = 3x - 9

∴ = \frac{3x-9}{2x-6}

∴ c = 9

∵ 3x - 9 has a common factor 3

∴ 3x - 9 = 3(x - 3)

∵ 2x - 6 has common factor 2

∴ 2x - 6 = 2(x - 3)

∴ = \frac{3(x-3)}{2(x-3)}

∴ d = 3 , e = 3 , f = 2

- The fraction has same factor (x - 3) up and down then we can cancel

  them together

∴ = \frac{3}{2}

∴ g = 3/2

5 0
3 years ago
Sofia surveyed students at her school
IRISSAK [1]

Answer:

English,French,Vietnamese,Chinese,Ukrainian,other

Step-by-step explanation:

so basically the question is asking for us to convert the fractions into decimals and then, order the them from greatest to least

Q:how do you convert a fraction into a decimal?

A: numerator divided by denominator for example if you had to convert 7/9 into a decimal you would do 7 divided by 9!!!

English:1/4 is equivalent to 0.25

Ukrainian:1/20 is equivalent to 0.05

Vietnamese:0.02 is already in decimal form

French:1/10 is equivalent to 0.1

Chinese:0.02 is already in decimal form

Other:0.06 is already in decimal form

<em>Now we got all the fractions converted into decimals</em>

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Now we have to put these number from greatest to least

Q:how do we put it in greatest to least?

A: if there are more zeros in the place value its more likely to be a small number for example 0.06 is smaller than 0.3

0.25 is the greatest

0.1 is the second greatest

0.02 is the third greatest

0.02 is the third greatest

0.05 is the 4th greatest

0.06 is the 5th greatest

Now we got them from greatest to least so we match the decimal numbers to the language

Starting from greatest to least is: English,French,Vietnamese,Chinese,Ukrainian,other

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6 0
3 years ago
Shirley purchased a plot of land for $19,500. The land appreciates about 3.9% each year. What is the value of the land after fiv
Leona [35]

Answer:

3802,5

Step-by-step explanation:

19500*3,9=760,5

760,5*5=3802,5

7 0
3 years ago
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