The phasor representation of the signal v = 24 sin (θ - 30⁰) would be the vector Question 2 options: 24∠-30 24∠0 24∠90 24∠30

Answer:

The length of rectangle is 23 cm.

Step-by-step explanation:

DIAGRAM :

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large{14\ cm}}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large{14\ cm}}\put(-0.5,-0.4){\bf}\put(-0.5,3.2){\bf}\put(5.3,-0.4){\bf}\put(5.3,3.2){\bf}\end{picture}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

SOLUTION :

Here's the required formula to find the length of rectangle :

[tex]{\longrightarrow{\pmb{\sf{A_{(Rectangle)} = l \times b}}}}[/tex]

Substituting all the given values in the formula to find the length of rectangle :

[tex]\begin{gathered}\qquad{\longrightarrow{\sf{A_{(Rectangle)} = l \times b}}}\\\\\qquad{\longrightarrow{\sf{322 = l \times 14}}}\\\\\qquad{\longrightarrow{\sf{322 = 14l}}}\\\\\qquad{\longrightarrow{\sf{l = \dfrac{322}{14}}}}\\\\\qquad{\longrightarrow{\sf{l = \cancel{\dfrac{322}{14}}}}}\\\\\qquad{\longrightarrow{\sf{l = 23 \: cm}}}\\\\\qquad{\star{\underline{\boxed{\sf{ \pink{l = 23 \: cm}}}}}}\end{gathered}[/tex]

Hence, the length of rectangle is 23 cm.

[tex]\begin{gathered}\end{gathered}[/tex]

LEARN MORE :

[tex]\boxed{\begin {minipage}{9cm}\\ \dag\quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}p\sqrt {4a^2-p^2}\\ \\ \star\sf Parallelogram =Breadth\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {minipage}}[/tex]

[tex]\rule{300}{2.5}[/tex]

Answer:

We know that,

[tex] \implies\displaystyle{Area_{(rectangle)}} = length(l) \times breadth(b)[/tex]

[tex]\implies\displaystyle{3 {22}^{} } = l \times 14[/tex]

[tex]\implies\displaystyle{ \frac{322}{14} = l }[/tex]

[tex] \implies \displaystyle{23=l}[/tex]

Thus,the value of length=23 cm.

Answer:

y = 1/4

Step-by-step explanation:

hope this helps :)

answer

40°

step by step explanation

according to the figure the two angles are given

the sum of all angles of triangle is 180°

Answer:

21

Step-by-step explanation:

Answer:

Step-by-step explanation:

We have to find the sum of 3a² + 4b² , 4a² - 3b² + 2ab and - 4a² + 2b² - 6ab

Just add all these expressions and you will get your answer as ;

[tex]{:\implies \quad \sf (3a^{2}+4b^{2})+(4a^{2}-3b^{2}+2ab)+(-4a^{2}+2b^{2}-6ab)}[/tex]

[tex]{:\implies \quad \sf 3a^{2}+4b^{2}+4a^{2}-3b^{2}+2ab-4a^{2}+2b^{2}-6ab}[/tex]

Collect like terms ;

[tex]{:\implies \quad \sf (3a^{2}+4a^{2}-4a^{2})+(4b^{2}-3b^{2}+2b^{2})+(2ab-6ab)}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Required\: \: Sum=3a^{2}+3b^{2}-4ab}}}[/tex]

Answer:

Step-by-step explanation:

Givens

r = 50

Formula

V = 4/3 pi r^3

Solution

V = 4/3 * 3.14 * 50^3

V = 4.19 * 50^3

V = 4.19 * 125000

V = 523750

Answer:

147

Step-by-step explanation

Average rate of change of a function is determined using the formula, Given the function, f(x) = 3x³ + 2To find the average rate of change between x = 3 and x = 5, let:a = 3f(a) = f(3) = 3(3)³ + 2 = 83b = 5f(b) = f(5) = 3(5)³ + 2 = 377Plug in the values into the formulaAverage rate of change = 

Answer:

7x + 4y = 17

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

(6 - 3) / (-1 - -1) = 3/0 so there is no slope

so the equation is x = -1

Answer:

Step-by-step explanation:

The least common denominator can be found as the product of the denominators, divided by their greatest common factor:

  LCD = (12)(18)/6 = 36

This is 3 times 12, so

  5/12 = (5/12)(3/3) = 15/36

and it is 2 times 18, so

  4/18 = (4/18)(2/2) = 8/36

The two fractions are ...

Answer:

Step-by-step explanation:

y² = 5.66 × 5.66 ⇒ y = 5.66

x = z = 5.66√2 ≈ 8.00

The values of x, y and z in the given triangle are 8, 5.66 and 8.

Triangles are a type of a polygon having three sides and angles.

Given is a triangle, having some unknown variables, we need to find their values,

So,

According to the figure we can say that the triangle is an isosceles triangle because the median is perpendicular to the base and dividing it into equal parts.

Therefore,

y² = 5.66 × 5.66 ⇒ y = 5.66

x = z = 5.66√2 ≈ 8.00

Hence, the values of x, y and z in the given triangle are 8, 5.66 and 8.

Learn more about triangles, click;

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Answer:

A) [tex]\frac{7}{tan55^\circ}[/tex]

Step-by-step explanation:

[tex]tan\theta=\frac{opposite}{adjacent}\\ \\tan55^\circ=\frac{7}{BC}\\ \\BC*tan55^\circ=7\\\\BC=\frac{7}{tan55^\circ}[/tex]

Answer:

pretty sure its 390,000

Step-by-step explanation:

Answer:

0.65

Step-by-step explanation:

on khan

Anasia is a basketball player who regularly shoots sets of 2 free throws. The required standard deviation is 0.65

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of population

N = number of observation of population

X = mean

μ = population mean

Anasia is a basketball player who regularly shoots sets of 2 free throws. Suppose that each shot has a probability of 0.7, point, and 7 being made, and the results of the shots are independent.

[tex]e \times P(X=x) \\=0\times 0.09+1\times0.42+2\times0.49\\=0.49+0.98\\\\1.4[/tex]

Now,

[tex]E(X^2) = 0\times0.009 +1^2 \times0.42 +2\times0.42\\\\= 0.42+ 1.96\\\\=2.38[/tex]

we can calculate the standard deviation by variance

[tex]\sigma^2 = E(X^2) - (E(X))^2\\\\\sigma^2 =2.38 - 1.4^2\\\\\sigma^2 =0.42\\\\\sigma = 0.65[/tex]

The required standard deviation is 0.65

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Answer:

34

Step-by-step explanation:

40 * 0.85 = 34

34 questions answered correctly

Hey there,

85% = [tex]\frac{85}{100}[/tex] = 0,85

0,85 x 40 = 34

The student answered 34 questions correctly.

:)

Answer:

I am pretty sure it is a 50% chance.

Step-by-step explanation:

20 + 30 = 50%

Answer:

I believe the answer is 490.63.

Step-by-step explanation: Let me know if I'm wrong.

Answer:

2w - 2 ≤ 20

Step-by-step explanation:

2w - 2 ≤ 20

Answer:

'w' are all values less than or equal to 11

Step-by-step explanation:

2w - 2 ≤ 20

2w ≤ 22

w ≤ 11

Answer:

the answer is 50

Step-by-step explanation:

12                6              600        600

---------  *   ---------   =    ------      ------- =    600/12=50
600              x               600        12

Answer:

the answer is 9

Step-by-step explanation:

Answer:

23 times 3 or just 23

ox

Step-by-step explanation:

Horizontal shift left 9 units and vertical shift up of 6 units

Answer:

x ≤ $12

Step-by-step explanation:

Since Maggie has $16 to spend for the week, she can spend less than $16 or exactly $16. Thus, the inequality used would be ≤, which can be read as 'less than or equal to'.

Let the amount of money she has left to spend for the week be x.

Total spending for the week ≤ $16

$4 +spending for the rest of the week ≤ $16

$4 +x ≤ $16

Subtract both sides by $4:

x ≤ $16 -$4

x ≤ $12

The zeros of the function y = -5x - 7  is at x = -7/5

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change (slope) and b is the y intercept.

Given the equation:

y = -5x - 7

The zeros of the function is at y = 0, hence:

0 = -5x - 7

-5x = 7

Dividing through by -5 gives:

x = -7/5

The zeros of the function y = -5x - 7  is at x = -7/5

Find out more on Linear equation at: https://brainly.com/question/13763238

Answer:

equation: y = -x - 5

Step-by-step explanation:

using the formula: y = mx + b ..........where m is the slope and b is y-intercept

so the equation in slope intercept form will be: y = -1x -5

Step-by-step explanation:

well, you put the input term into the place of the original variable (as with any actual constant value) :

f(4x-1) = 2(4x-1) - 5 = 8x - 2 - 5 = 8x - 7

we could call this now g(x) (= f(4x - 1)).

Answer: Ash

Step-by-step explanation:

Convert both into a percentage so it is clearer

Lia- 48%

Ash- 48.57%

Answer:

c

Step-by-step explanation:

The given proportion of triangle ABC as AE/AD = EB/DC is; Not Accurate

This theorem states that If a line is drawn parallel to one side of a triangle, then it cuts other two sides proportionally.

Thus, In ΔABC, DE || BC

By Thales theorem, we can say that;

AD/DB = AE/EC

Rearranging we can arrive at;

AE/AD = EC/DB

When we simplify further by adding 1 to both sides, we will get;

AD/AB = AE/AC

Thus, the given proportion is not accurate

Read more about Basic Proportionality Theorem at; https://brainly.com/question/14417137