what is the value of side EC ?

9514 1404 393

Answer:

  D.  28 +10i

Step-by-step explanation:

As with any "collect terms" problem, you first identify the like terms, then add their coefficients. You can start with either the real or the imaginary terms to obtain a result that will point you to the correct answer choice. Of course, the distributive property works in the usual way.

  (3i+ 4) -i + 4(6 +2i) = 3i +4 -i +24 +8i . . . . eliminate parentheses

  = (4 +24) +(3 -1 +8)i . . . . . . . group like terms

  = 28 +10i

[tex]\begin{gathered}\dfrac{12}{27}=\dfrac{12:3}{27:3}=\dfrac{4}{9}\\\\\dfrac{12}{27}=\dfrac{12\cdot2}{27\cdot2}=\dfrac{24}{54}\\\\\dfrac{12}{27}=\dfrac{4}{9}=\dfrac{4\cdot2}{9\cdot2}=\dfrac{8}{18}\\\vdots\end{gathered}[/tex]

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Fractions equivalent to [tex] \frac{12}{27} [/tex] are :-

[tex] \frac{12 \div 3}{27 \div 3} \\ = \frac{4}{9} [/tex]

[tex] \frac{12 \times 2}{27 \times 2} \\ = \frac{24}{54} [/tex]

[tex] \frac{12 \times 3}{27 \times 3} \\ = \frac{36}{81} [/tex]

✐ 3 fractions equivalent to [tex] \frac{12}{27} [/tex] are ⇻ [tex] \frac{4}{9} , \: \frac{24}{54} , \: \frac{36}{81} [/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

w=18.27

Step-by-step explanation:

Using Trig you have opposite and hypotenuse so use SIN

Sin(66)=w/20

20Sin(66)=w

w=18.27

Answer:

51 sq units

Step-by-step explanation:

after plotting the vertices, the height of the triangle is 6 and the base is 17

A = 1/2(6)(17)

A = 51 sq units

Answer:

im pretty sure its -14

Step-by-step explanation

Answer:

s= -17/12

17/12

Step-by-step explanation:

-5s - 14 = 7s +3

−5−14=7+3

-5s-14=7s+3

−5s−14=7s+3

−5−14+14=7+3+14

−5=7+17

-5s=7s+17

−5s=7s+17

−5−7=7+17−7

[tex]s=-\frac{17}{12}[/tex]

Answer:

a = 32,37

b=99

Step-by-step explanation:

a = 32,369

The third decimal place is greater (or equal) than 5, so we need to add one unit to the second place.

= 32,37

b = 99,004

The third decimal place is lesser than 5, so we can simply delete it.

= 99,00

Since only zero in every decimal places are not relevant, we can remove them:

= 99

Answer:

Area = x² + 8x + 7

Step-by-step explanation:

Area of a rectangle formula = L * W

Length (L) of the given figure = (x + 7)

Width (W) of the given figure = (x + 1)

Area = L * W

Area = (x + 7) * (x + 1)

=> x * x = x²

=> x * 1 = 1x or x

=> 7 * x = 7x

=> 7 * 1 = 7

Combining it all together;

Area = x² + 1x + 7x + 7

Combine the like terms:

Area = x² + 8x + 7

Hope this helps!

The area of the entire rectangle in the polynomial form will be x² + 8x + 7.

Let W be the rectangle's width and L its length. The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be given as,

Area of the rectangle = L × W square units

The dimensions of the big rectangle are x + 1 high and x + 7 long. Then the area of the rectangle is calculated as,

A = (x + 7)(x + 1)

Simplify the equation, then we have

A = (x + 7)(x + 1)

A = x² + 7x + x + 7

A = x² + 8x + 7

More about the area of the rectangle link is given below.

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9514 1404 393

Answer:

  18.3 years

Step-by-step explanation:

You want ...

  A/P = 3 = e^(rt) . . . for r = 0.06

Taking the natural log, this gives ...

  ln(3) = 0.06t

  t = ln(3)/0.06 ≈ 18.31

It will take about 18.3 years for the value to triple.

Answer:

0.057168

Step-by-step explanation:

Given :

Mean = 1510

Standard deviation = 57

P(X > 1600)

To obtain the Zscore we use

(x - mean) / σ

P(Z > 1600) = P(Z > (x - mean) / σ)

P(Z > (x - mean) / σ) = P(Z > (1600 - 1510) / 57)

P(Z > 1.579) = 0.057168 (Z probability calculator)

Answer:

(-2 -3)

Step-by-step explanation:

_____________________

Answer:

7 * 9 = 63

63 for when both of the triangles are combined, 31.5 for one triangle.

Rectangle = 18 * 22 = 396

396 + 63

459 cm^2

The answer is: 15 ft

The insurance company has 4 doctor visits y=35x is lower rate and Rate 35 $ per doctor visit for more than 4 doctor visits y=100+10x.

A system of equations is a collection of two or more equations with a same set of unknowns.

In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system.

Aaron is considering two health insurance plans. The Get Well Soon Company charges an annual fee of 100 plus 10 per doctor visit, given y=100+10x

The Mega Coverage Company charges $35 per doctor, with no annual fee, represented by the equation: y=35x.

On solving both the equations

[tex]\rm 35x=100+10x\\\\35x-10x=100\\\\25x=100\\\\x=\dfrac{100}{25}\\\\x=4[/tex]

For 4 doctor visits charges are same and Rate 35 $ per doctor visit.

For less than 4 doctor visits y=35x is lower rate and Rate 35 $ per doctor visit for more than 4 doctor visits y=100+10x.  

Hence, The insurance company has 4 doctor visits y=35x is lower rate and Rate 35 $ per doctor visit for more than 4 doctor visits y=100+10x.

Learn more about system of equation here;

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.

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Answer:

The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is 76%

Step-by-step explanation:

Complete question

Please find the attachment

Solution

The frequency distribution is as follows

Interval Frequency Cumulative Frequency Relative Cumulative Frequency

1 to 5 8 8 0.16

6 to 11 8 16 0.32

11 to 15 13 29 0.58

16 to 20 9 38 0.76

21 to 25 3 41 0.82

26 to 30 4 45 0.9

31 to 35 3 48 0.96

36 to 40 2 50 1

The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is 76%

The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is 0.68.

From the given figure (image 1)

The cumulative frequency of students who earned a score of 20 or lower on the quiz is = 4+8+15+7=34.

Total frequency is = 4+8+15+7+7+3+4+2=50.

So the relative cumulative frequency is = 34/50 = 0.68 = 68%

Learn more: https://brainly.com/question/13646998

Answer:

The answer is 24

Step-by-step explanation:

Answer:

The answer is just re look at the question A

Answer

THE ANSWER IS A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Maria has $5.00 more than José

Maria, M

Jose, j

M = j + $5

j + M = $37.50

j + j + $5 = $37.50

The amount of money José has is $16.25.

An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

Maria has $5.00 more than José.

Together they have. $37.50.

Let, the amount of money José has be x.

Based on the given conditions, formulate:

[tex]\rm 5+2\times x=37.50\\\\5+2x=37.50\\\\2x=37.50-5\\\\2x=32.50\\\\x=\dfrac{32.50}{2}\\\\x= 16.25[/tex]

Hence, the amount of money José has is $16.25.

Learn more about equation here;

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Answer:

1/4 bczz its not saying about the highest its about average and the average is 1/4

Answer:

18.5 i believe

Step-by-step explanation:

sorry if im wrong, have a great day!!

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

Given

[tex]\triangle JDC[/tex] similar to [tex]\triangle JKL[/tex]

Required

Find x

To do this, we make use of the following equivalent ratios

[tex]JK:JL = JD:JC[/tex]

This gives

[tex]98 : 63 = 7x + 7:27[/tex]

Express as fraction

[tex]\frac{98 }{ 63} =\frac{ 7x + 7}{27}[/tex]

Multiply both sides by 27

[tex]27 * \frac{98 }{ 63} =\frac{ 7x + 7}{27} * 27[/tex]

[tex]27 * \frac{98 }{ 63} =7x + 7[/tex]

[tex]3* \frac{98 }{ 7} =7x + 7[/tex]

[tex]3* 14 =7x + 7[/tex]

[tex]42 =7x + 7[/tex]

Collect like terms

[tex]7x = 42 - 7[/tex]

[tex]7x = 35[/tex]

Divide both sides by 7

[tex]x = 5[/tex]

Answer:

the answer would be 128cm³

Step-by-step explanation:

have a great rest of ur day

Answer:

96cm

Step-by-step explanation:

Answer:

nao sei ispoosksjjdkdddks

Answer:

54

Step-by-step explanation:

Split into 2 rectangles and 2 triangles and calculate area

Answer:

C 4:7 and 12:21

Step-by-step explanation:

4×3 => 12

7×3 => 21

Answer:

15/2=7.5

7.5/100=0.075

0.075$ per cup.

-TheOneandOnly003

Hope this answer helps you :)

Have a great day :)

Mark brainliest

Answer:

A. 339.12 cu. in.

Step-by-step explanation:

I calculated it logically

Answer:

The arm routine lasts 10 minutes, and the abs routine lasts 15 minutes.

Step-by-step explanation:

Since Oscar is trying to incorporate more exercise into his busy schedule, and he has several short exercise routines he can complete at home, and last week, he worked out for a total of 35 minutes by doing 2 arm routines and 1 abdominal routine while That this week, he has completed 4 arm routines and 1 abdominal routine and spent a total of 55 minutes exercising, to determine how long does each routine last the following calculation must be performed:

2ARM + 1ABS = 35

4ARM + 1ABS = 55

4ARM + 1ABS - 2ARM - 1ABS = 55 - 35

2ARM = 20

ARM = 20/2

ARM = 10

2 x 10 + ABS = 35

ABS = 15

Therefore, the arm routine lasts 10 minutes, and the abs routine lasts 15 minutes.

Answer:

the formula for a cylinder is πr^2•h

Step-by-step explanation:

just plug in the numbers, and you can change π to 3.14 for an approximate answer!

hopefully this helps you!

[tex]\pi {r}^{2} h \\ 22 \div 7 \times {r}^{2} h[/tex]

Answer:

C

Step-by-step explanation:

Furniture is not counted as property that can be taxed.