Please help and show all work thanks

This question has the same problem as the other one you shared. Neither cot(32°) = 4/3 nor cos(44°) = 7/9 are true.

But if we indulge the author for a moment, we have from the double angle identity

[tex]\sin(2x) = 2\sin(x) \cos(x)[/tex]

so if x = 32°, then

[tex]\sin(64^\circ) = 2\sin(32^\circ) \cos(32^\circ)[/tex]

We also have from the Pythagorean identity

[tex]\sin^2(x) + \cos^2(x) = 1 \implies 1 + \cot^2(x) = \csc^2(x) \\\\ \implies \csc(x) = \pm \sqrt{1+\cot^2(x)} \\\\ \implies \sin(x) = \pm \dfrac1{\sqrt{1+\cot^2(x)}}[/tex]

Now, 0° < 32° < 90°, so both sin(32°) and cos(32°) are positive.

If we assume cot(32°) = 4/3 to be true, it follows that

[tex]\sin(32^\circ) = \dfrac1{\sqrt{1+\left(\frac43\right)^2}} = \dfrac35[/tex]

[tex]\cos(32^\circ) = \sqrt{1 - \sin^2(32^\circ)} = \dfrac45[/tex]

[tex]\implies \sin(64^\circ) = 2\times\dfrac35\times\dfrac45 = \dfrac{24}{25}[/tex]

so E is the only correct choice regardless of the baseless assumptions made by the question.

Answer:

37.7 in.

Unfortunately, I cannot include the question with the full steps.

Here is the equation:

[tex]\pi * 12 = 37.7[/tex]

[tex]diameter = 12 \: in[/tex]

the circumference of the circle.

[tex]c = \pi \: d[/tex]

[tex]c = \pi \times 12[/tex]

[tex]c = 37.6991118431[/tex]

[tex]c = 37.7 \: in[/tex]

therefore, the circumference of the circle is 37.7 inch.

Step-by-step explanation:

here you go hope this helps you

Answer:

2x^2 (4x^2-x-9)

Step-by-step explanation:

8x^4-4x^3-18x^2

2x^2 (4x^2-x-9)

Answer:

B

Step-by-step explanation:

Gambling is the act of risking something of material value on an uncertain outcome. The people who gamble are totally unaware of the outcome. The outcomes are unpredictable so it is risking something of material to win a something of greater material value.

In the pool, the rail of the table can be considered a rebound line as the definition suggest the table's rail can be used as a rebound line.

Water is released from the earth when it is squeezed or compacted by some force. As a further stage, the stress in the soil is removed, allowing the soil sample to expand back to its original size.

The soil will try to reclaim some of the stress it has lost after the stress has been released. Rebound is the word for this procedure.

We have a statement:

The rail of the table can be considered which of the following when making a bank shot:

The answer is a rebound line.

As the definition of the rebound line, the table's rail can be used as a rebound line.

Thus, in the pool, the rail of the table can be considered a rebound line as the definition suggest the table's rail can be used as a rebound line.

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Answer:

The value of the x is 2 and the value of the y is 0 in the system of equation 3y=x-2, y=-2x+4.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a system of the equation:

3y=x-2 ..(1)

y=-2x+4  ...(2)

From the equation (2) take the value of y and plug in the equation (1)

3(-2x+4) = x -2

-6x + 12 = x - 2

7x = 14

x = 14/7

x = 2

Plug this value in the equation (2)

y = -2(2) + 4

y = 0

Thus, the value of the x is 2 and the value of the y is 0 in the system of equation 3y=x-2, y=-2x+4.

Step-by-step explanation:

Answer:

-252

Step-by-step explanation:

assuming that 313, 307, and 301 are the first 3 terms..

By these three numbers we can conclude that the rule is -6

(313 - x = 307, 313 - 307 = 6.. x = 6. To check this we do the same thing but with 307 and 301. 307 - x = 301, 307 - 301 = 6, 6 = x)

We find the 42nd term by multiplying our rule by the term number (42)

 -6(42) = -252 

Remember that a negative times a positive is a negative, but a negative times a negative is positive. 

The 42nd term of an arithmetic sequence is 72.

A series of integers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.

Given, the sequence is an arithmetic sequence.

a₁ = 313

a₃ = 301 so n= 3

Remember that,

aₙ= a₁ + (n-1)d

aₙ=a₁+(n−1)d

301 = 313 + (3 -1)d

301 = 313 + (2d)

301 - 313 = 2d

-12 = 2d

d = -6

So to find a₄₂:

Then, use the same formula for n = 42

a₄₂ = 313 + (42 - 1) (-6)

a₄₂ = 313 - 246

a₄₂ = 72

Therefore, 72 is the 42nd term of an arithmetic sequence.

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Answer:

160

sorry if this is wrong

Answer:

A

Step-by-step explanation:

Given

Solving

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve it ~

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} = \dfrac{9}{4} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \sqrt{ \dfrac{9}{4} } [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{ \sqrt{9} }{ \sqrt{4} } [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{3}{2} [/tex]

So, the correct choice is A

Answer:

[tex]||\overrightarrow{v}||\approx14.64[/tex]

Step-by-step explanation:

The magnitude of a vector [tex]\displaystyle \overrightarrow{v}=\langle x,y\rangle[/tex] is [tex]||\overrightarrow{v}||=\sqrt{x^2+y^2}[/tex], which essentially describes the length of the vector itself between the initial and terminal points:

[tex]||\overrightarrow{v}||=\sqrt{x^2+y^2}\\\\||\overrightarrow{v}||=\sqrt{(10.5)^2+(10.2)^2}\\\\||\overrightarrow{v}||=\sqrt{110.25+104.04}\\\\||\overrightarrow{v}||=\sqrt{214.29}\\\\||\overrightarrow{v}||\approx14.64[/tex]

Answer:

f(x) has a minimum value of -10.

Step-by-step explanation:

It will have a minimum value because the coefficient of x^2 is positive.

To find its value we convert to vertex form:

f(x) = 4x^2 - 16x + 6

     = 4(x^2 - 4x) + 6

      = 4[(x - 2)^2 - 4] + 6

      = 4(x - 2)^2 - 16 + 6

      = 4(x - 2)^2 - 10.

So the minimum value is -10.

The total number of chairs in the eight rows of the conference hall is; 144 chairs.

From the task content;

It follows that the first row contained 11 chairs and each successive row has 2 more chairs. It therefore follows from the sum of terms for an arithmetic progression that the eight rows contain;

Total number of chairs = (8/2) × (2(11) + 7(2))

S = 4 × 36 = 144.

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The statement describes the graph

A linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

Graph B represents h(x).

Graph B represents j(x).

From the question, we have the following parameters:

h(x) = f(x) + g(x)

j(x) = f(x) * g(x)

As, we don't have function of the graphs.

So, all the functions are linear functions, then the slopes of the sum of functions f(x) and g(x) could be greater than the slopes of h(x) and j(x).

The graph h(x) and j(x) is represented by graph B.

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Answer:

( -1 , -3 ) , ( 4 , -3 ) , (4 , -1 )

Answer:

yes,you are finding the probalitiy of exactly 5 not

being broken

The equation of the function g(x) is g(x) =  -x² + 4 after applying the transformation.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The equation of the function f(x) = x² - 1

The equation of the function g(x) = -x² + 4

Let f(x) is the parent function.

To get the equation of the function g(x):

Applying transformation to function f(x)

f(x) → f(x) + 5 (function will shift up side by 5 units)

F(x) = x² - 1 + 5

F(x) = x² + 4

F(x) → -x²  (funtion will reflect about the line y = 4)

g(x) =  -x² + 4

Thus, the equation of the function g(x) is g(x) =  -x² + 4 after applying the transformation.

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Answer:

441,000 dollars after 12 years

Answer:

36,000

Step-by-step explanation:

36,000 plus the 10,500

Answer:

34.6

Step-by-step explanation:

1) tan(38°)=27/x, then

2) x=27/(tan38°);

x=27/0.78129≈34.558=34.6

The attached diagram represents the required line plot

From the given table, we have the following frequency table:

Minutes spent           Frequency

25                                     1

25 1/2                                2

26                                     1

27 1/2                                 1

27 3/4                                1

28 1/4                                1

28 1/2                                2

29                                     1

Total                                10

Using the above frequency table, we can now plot the line plot

See attachment for the line plot

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Answer:

4448 feet²

Step-by-step explanation:

Using the formula [tex]A = 2((l)x(w) + (l)x(h) + (w)x(h))[/tex] we can take the length, width and height and plug them in. [tex]A = 2(44x21 + 44x20 + 21x20)[/tex], solving this equation we get [tex]4448 feet^{2}[/tex].

Answer:

12X +3y =12.....equation 1

-6x +y = -26....equation 2

putting the value

in equation 2 multiply by 2

12x +3y =12

-12x +2y = -52

____________

5y = -40

y = -40%5

y = -8

putting the value of y in equation 1

12x + 3y = 12

12x + 3× -8 =12

12x -24 =12

12x =12 + 24

12x =36

x =36%12

x=3

Answer:

See below ~

Step-by-step explanation:

Details of Graph

Answer:

x = -3

y = -4

Step-by-step explanation:

We're given:

Let the first number be x and the second be y.

Translate the given information into equations:

Now, solve using elimination:

- [tex]2x-4y=10\\\hspace{5} 4x-4y=4\\\rule{60}{0.3}\\-2x=6[/tex]

Solve for x:

[tex]-2x=6\\x=-3[/tex]

Therefore, the first number is -3.

Now, solve for y using x:

[tex]2x-4y=10\\2(-3)-4y=10\\-6-4y=10\\-4y=16\\y=-4[/tex]

Therefore, the second number is -4.

Using the cosine and tangent ratios:

value of x = 9/2

value of y = 9√3

Cosine ratio is cos ∅ = adjacent/hypotenuse

Tangent ratio is tan ∅ = opposite/adjacent

Find x using the cosine ratio:

cos 60 = x/9

x = (cos 60)(9)

x = (1/2)(9) [cos 60 = 1/2]

x = 9/2

Find y using the tangent ratio:

tan 60 = y/9

y = (tan 60)(9)

y = (√3)(9)

y = 9√3

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Answer:

[tex]-\frac{1}{128}[/tex]

Step-by-step explanation:

1) Identify the type of sequence this is; whether it is geometric progression, quadratic sequence or linear sequence.

= Geometric progression

2) Find the [tex]n^{th}[/tex] term of this sequence. Every sequence of geometric progression is written in [tex]u_{n} = u_{1} * r^{n-1}[/tex] form, where [tex]u_{1}[/tex] is the first term of the sequence and [tex]r[/tex] is the common ratio. To find the [tex]n^{th}[/tex] term of this sequence, we need to find the common ratio ([tex]r[/tex]) first.

[tex]r = \frac{u_{2}}{u_{1}}[/tex]

[tex]r = \frac{-32}{64}[/tex]

[tex]r = -\frac{1}{2}[/tex]

2.1) Write it in [tex]u_{n} = u_{1} * r^{n-1}[/tex] form.

[tex]u_{n} = 64 * (-\frac{1}{2} )^{n-1}[/tex]

3) Find the [tex]14^{th}[/tex] term by substituting 14 into the [tex]n[/tex]'s.

[tex]u_{14} = 64 * (-\frac{1}{2} )^{14-1}[/tex]

[tex]u_{14} = 64 * (-\frac{1}{2} )^{13}[/tex]

[tex]u_{14} = 64 * -\frac{1}{8192}\\u_{14} = -\frac{1}{128}[/tex]

Answer:

Step-by-step explanation:

Remark

The value of the y can be found by using the Geometric Mean.  To use the said mean, you must compare parts of one triangle to parts of the second triangle. In this case, the small triangle containing boy 4 and y, must be compared to the triangle use y and 12

Formula

This translates to

4 / y = y/12

Explanation. The two triangles y and 4 and y and 12 are similar. The short side on the small right triangle on the left is 4. The second longest side on the same triangle is y.

In the triangle containing y and 12 The short side is y and the second side length is 12. You have to read this a couple of times to get the meaning of the two ratios.

Solution

4/y = y / 12                    Cross multiply

y^2 = 4 * 12

y^2 = 48                       Take the square root of both sides.

√y^2 = √48

y = √2 * 2 * 2 * 2 * 3

y = 2 * 2 * √3

Answer

y = 4√3  

Answer:

y = 4√3 y = 4√3

Step-by-step explanation:

i hope it's help

Answer:

the answer for first square is 18

Answer:

pythagorean theorem

Step-by-step explanation:

Check the picture below.

Answer:

The parent function for a quadratic is f(x) = x^2. If there is something other than this, that is how you know it is a quadratic transformation.