if sin theta = 4/5 and theta is in quadrant 2, the value of cot theta is

Following are the mathematical operations for the numerics.

An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands.

In mathematics, addition, subtraction, multiplication, division, and modular forms are the five basic operations.

Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers. Image: The basic mathematical operation symbols. A set of numbers and operations make up a mathematical expression.

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[tex]\dfrac{1}{2} z+5=57[/tex]

Subtract 5 from both sides:

[tex]\dfrac{1}{2} z+5-5=57-5[/tex]

[tex]\dfrac{1}{2} z=52[/tex]

Multiply both sides by 2:

[tex]2\times(\dfrac{1}{2} z)=2\times(52)[/tex]

[tex]\fbox{z = 104}[/tex]

Answer:

z=104

Step-by-step explanation:

1/2z=57-5

1/2z=52

1/2z*2=52*2

1z=104

1/1z=104/1

z=104

Answer:

Lauren will finish the race faster 7 seconds faster, and 14 meters ahead.

Step-by-step explanation:

To answer this question, I will use the strategy of finding the slope of each of the proportional relationships (y = 8x for Lauren's run and y = ?x for Amani's run). The slope represents the rate at which the distance changes for each unit of time, so the person with the greater slope will finish the race faster.

To find the slope of Amani's run, I will use the tool of point-slope form, which is y - y1 = m(x - x1). I will plug in the coordinates for the second point listed in the table for Amani's run (5 seconds and 30 meters) to get y - 30 = m(5 - x1). Since I don't know the value of x1, I will solve for it in terms of m. I get x1 = 5 - (30/m).

Next, I will plug in the coordinates for the first point listed in the table for Amani's run (3 seconds and 18 meters) into the equation y - 30 = m(5 - (30/m)). I get 18 - 30 = m(5 - (30/m)). Solving for m, I find that Amani's run has a slope of m = -6.

Since Lauren's run has a slope of 8 and Amani's run has a slope of -6, Lauren will finish the race faster. To find out by how much, I will use the tool of proportional reasoning. Since the slope represents the rate at which the distance changes for each unit of time, the difference in the slopes (8 - (-6)) represents the difference in the rate at which the distance changes for each unit of time between the two runs. The difference is 14, so Lauren will finish the race 14 meters ahead of Amani for each second that they run. Since the race is 100 meters long, Lauren will finish the race approximately 7 seconds faster than Amani.

Answer:

y = -1/2x + 3.5

Step-by-step explanation:

In order to pass through the point (1, 3), and is perpendicular to y = 2x - 1, then the line must be y = -1/2x + 3.5. Hope this helps!

From the equation, the value of x is 13

When an integer is multiplied by the same integer, the resultant number is known as a square number. Simply put, a square number is a number that is obtained by the product of two same numbers but in this case, it is an equation, so the equation in the bracket multiplies itself.

(x – 7)² = 36

Raising both sides by 1/2

x-7 = √36

x - 7 = 6

x = 6+7

x = 13

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Therefore , the solution of the given problem of trigonometry comes out to be  B = arcsin(9/14) - 180° = 140.0°.

Correlations between triangles' angles and sides are studied in the branch of mathematics known as trigonometry. Since every straight-sided form may be reduced to a collection of triangles, trigonometry can be found throughout geometry. The relationships between trigonometry and other branches of mathematics, in particular calculus, real or complex, infinite series, logarithms, and infinite series, are astonishingly complicated.

Here,

There are two potential solutions because the supplied angle is opposite the given side that is the shortest.

Using the sine law,

B = b/asin(A)arcsin(9/7sin(30°))arcsin(9/14)

Angle B may take on the following values:

B is equal to arcsin(9/14) = 40.0°.

B = arcsin(9/14) - 180° = 140.0°

Therefore , the solution of the given problem of trigonometry comes out to be  B = arcsin(9/14) - 180° = 140.0°.

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Answer:

Step-by-step explanation:

4

A trader can create their own automated trading strategies in forex by writing a script or program in a programming language, such as MQL4 or Python. This script will contain instructions to execute trades according to specific criteria defined by the trader. They can then backtest the strategy to see how it performs.

1. Decide on a trading strategy. This could include things like setting entry and exit points, calculating position sizes, and setting stop losses and take profits.

2. Choose a programming language that is compatible with the trading platform you are using, such as MQL4 or Python.

3. Write the script or program that will contain the instructions for the trading platform to follow in order to execute the trading strategy.

4. Test the script or program to make sure it works properly.

5. Run a backtest to see how the trading strategy performs.

6. If the results of the backtest are satisfactory, you can deploy the trading strategy on the trading platform.

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Step-by-step explanation:

[tex] \frac{7}{2x + 1} + \frac{4}{4x + 2}[/tex]

[tex] =\frac{7(4x + 2) + 4(2x + 1)}{(2x + 1)(4x + 2)}[/tex]

[tex]= \frac{28x + 14 + 8x + 4}{(2x + 1)(4x + 2)}[/tex]

[tex]=\frac{36x + 18}{(2x + 1)(4x + 2)} [/tex]

[tex]=\frac{9(4x + 2)}{(2x + 1)(4x + 2)}[/tex]

[tex]=\frac{9}{2x + 1}[/tex]

Answer:

[tex]108\pi[/tex] or approx. [tex]339.3 m^{2}[/tex]

Step-by-step explanation:

The question asks us to find the total surface area of the given hemisphere. The question gave us the formula for total surface area of a sphere, [tex]SA_{tot} =4\pi r^2[/tex]. But we need it for a hemisphere, so multiply the equation by [tex]\frac{1}{2}[/tex].

[tex]SA} = (\frac{1}{2}) 4\pi r^2[/tex] => [tex]SA} =2\pi r^{2}[/tex]

We also need the area of the base, which is circle. [tex]A_{circle}=\pi r^{2}[/tex].

Now add these equations together to get our equation.

[tex]SA_{tot} =2\pi r^2 +\pi r^{2}[/tex] => [tex]SA_{tot} =3\pi r^2[/tex]

Now we have the proper equation for total surface area of a hemisphere, [tex]SA_{tot} =3\pi r^{2}[/tex]. Plug in the value of [tex]r[/tex] which is given in the problem, [tex]r=6m[/tex].

=> [tex]SA_{tot} =3\pi (6)^{2}[/tex] => [tex]SA_{tot} =3\pi (36)[/tex] => [tex]SA_{tot} =108\pi m^{2}[/tex] or approx. [tex]339.3 m^{2}[/tex]

9 hours will it take to clean the 15 pools.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Dave can clean pools at a constant rate of 3/5 pools per hour.

This also means that he cleans 3 pools in 5 hours

So, the time taken to clean 15 pools is

= 15×3/5

= 9 hours.

Hence, the time taken is 9 hours.

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Answer:

First rational exponent means that ;Rational exponents (also called fractional exponents) are expressions with exponents that are rational numbers (as opposed to integers ). While all the standard rules of exponents apply,

Step-by-step explanation:

We take here the root of 4 which means that it gives us the exactly same the answer is 2 which we again square on two it exactly gives us the answer 4 so the bas eis given as, = √4

= ±2

as squaring on it; = 2²

= 4

→ the base in 2² where 2 is the base and 2 of the power is called index.

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In linear equation, Ben is 9 years old currently.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                                    Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.

Ben's mom = 22 years

Ben is 9 years old currently.

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Answer: 1 hour

Step-by-step explanation:

The value of x that will make aob a straight line equation is x = -6.

To make aob a straight line, we need to make the gradients of both lines equal.

The gradient of the first line is 3x20 = 60.

The gradient of the second line is 4x-36 = 4x-36.

To make the gradients equal, we need to solve the equation 4x - 36 = 60.

Subtracting 36 from both sides gives us: 4x = 96.

Dividing both sides by 4 gives us x = -6.

Therefore, the value of x that will make aob a straight line is x = -6

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Answer:

1= 66

2= 66

3 = 114

Step-by-step explanation:

Answerhold on I got you

Step-by-step explanation:

[tex]3\sqrt{2} +5\sqrt2}\\=8\sqrt{2}[/tex]

Answer:

8√2

Step-by-step explanation:

Both 18 and 50 are easily factorable, the first as 2*9 and the second as 2*25.  Taking the square root of 18 results in 3√2 and that of 50 in 5√2/

Thus, the original problem √18 + √50 simplifies to (3 + 5)√2, or 8√2

Answer: 1 3/10

Step-by-step explanation:

Since we are informed that Annie has two boxes of markers and that the first box is 7/10 full while the second box is 6/10 full.

Therefore, the total markers that Annie has will be the addition of both boxes and this will be:

= 7/10 + 6/10

= 13/10

= 1 3/10

The fraction that is bigger than 2/5 and smaller than 2/3 is 8/15.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Let the fraction be a/b.

2/5 < a/b < 2/3

Now,

a/b

= (2/3 + 2/5) / 2

= (10 + 6) / 30

= 16/30

= 8/15

= 0.533

Thus,

The fraction is 8/15.

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Answer:

Step-by-step explanation:

if your doisjw0= and yes it would be 35%

Answer:

40

Step-by-step explanation:

Answer: A

Step-by-step explanation: The other answer choices have 2 negatives which cancel and make a positive number.

In order to find the hypotenuse of the triangle

We need to find the other sides of a right triangle

Length of the 1st side of a right triangle is connected with a square with area 144[tex]cm^{2}[/tex]

Hence in order to find the side we

[tex]\sqrt{144} = side[/tex]

[tex]12 = side[/tex]

Length of the second side is connected to a small square with area 25[tex]cm^{2}[/tex]

[tex]\sqrt{25} = side[/tex]

[tex]5 = side[/tex]

Now we can find the hypotenuse of a right triangle with the phytogorean theorem

[tex]a^{2}+ b^{2} = c^{2}[/tex]

[tex]12^{2}+ 5^{2} = c^{2} \\169 = c^{2}[/tex]

[tex]\sqrt{169}= c[/tex]

[tex]13 = c[/tex]

Hence , the hypotenuse of a right triangle is 13cm

The z-score is compared as Test A : 3.25; Test B : 3.5; Test B.

Here given that,

Test A

Jeanette's score 90

Mean score 64

Standard deviation 8

Test B

Jeanette's score 95

Mean score 60

Standard deviation 10

The formula =

z = x - µ / σ

By substituting,

test A : z = (90 - 64) / 8 = 26 / 8 = 3.25

test B : z = (95 - 60) / 10 = 35/10 = 3.5

So Test A : 3.25; Test B : 3.5; Test B

The data of the question is attached below:

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Z-score in test A = 3.25, Z-score in test B = 3.5. She performed better in test B.

Z-score represent the difference between a given value and standard deviation.

given, Jeanette scored 90 in the Test A

 mean score of test A = 64

standard deviation = 8

we know, the Z-score is calculated by the following formula.

Z-score = (X - μ) /σ

where, σ denotes the standard deviation.

          μ denotes the mean value

    X is the actual value

Test A has Z- score = (actual score - mean score) / standard deviation

                             = (90 -64)/8

                           Z = 3.25

In the test B, she scored 95.

actual score = X = 95

mean score in test B = 60

standard deviation in test B = 10

hence, Z-score for test B = (X - μ)/ σ

                                        = (95 -60)/ 10

       Z-score = 3.5

Therefore, Jeanette scored better in her test B.

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Answer:

24

Step-by-step explanation:

From meter to cm multiply by 100

Answer:

0.8

Step-by-step explanation:

36/45

4/5

80/100

0.8

Answer:

13

Step-by-step explanation:

Add the solution together to combine an answer. 4 times 11 = 44 - 10 = 30 + > 11 = 13

According to ProPublica, from 1993 to 2011, there were almost 2.9 million black pupils enrolled in schools where at least 90% of the student body is made up of minorities.

The absence of a majority on the territory of a State is indicated by a minority. That essentially indicates that less than 50% of a nation's population belongs to one or more ethnic, religious, or linguistic groups.

According to Section 2(c) of the National Commission for Minorities Act of 1992, the following groups have been designated as minority communities: Muslims, Sikhs, Christians, Buddhists, Jain, and Zorastrians. According to the Census of 2011, minorities make up around 19.3% of the overall population of the nation.

The term "minority" in the 1990s typically refers to four significant racial and ethnic groups: African Americans, American Indians and Alaska Natives, Asians and Pacific Islanders, and Hispanics.

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