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Answer:

Answer:

cot α = 1/tan α = 1/2.4 = 0.42

Step-by-step explanation:

cot α=0.42

sin α = 0.92

we know that cot α = 1/tan α

thus,

cot α = 1/tan α = 1/2.4 = 0.42

we know that

sin(x)=tan(x)1+tan2(x)√

\begin{gathered}\ sin(\alpha )=tan(\alpha )/\sqrt{ 1+tan^2(\alpha )} \\sin(\alpha )= 2.4/\sqrt{1+2.4^2} = 2.4/\sqrt{1+5.76}\\sin(\alpha )= 2.4/\sqrt{6.76} = 2.4/2.6 = 12/13 = 0.92\end{gathered}

sin(α)=tan(α)/

1+tan

2

(α)

sin(α)=2.4/

1+2.4

2

=2.4/

1+5.76

sin(α)=2.4/

6.76

=2.4/2.6=12/13=0.92

sin α = 0.92

Revenue is calculated by multiplying the number of units sold by the price per unit. Multiply the output level by the price function to get the revenue function.

So here R(x) = 4(x)

Where x = number of days.

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The domain of the function x - 3 + 5 is  x ∈ R(real number)

A function is a procedure or a relation that links each element of a non-empty set A, at least one element of another non-empty set B, to another element of the first non-empty set A. In mathematics, a relation f between two sets, A and B, is referred to as the function's domain and co-domain.

The collection of all potential inputs for a function is its domain. Think of this box as the f(x) = 2x function. The domain is only the collection of natural numbers when the input values are x = 1,2,3,4,..., and the values that are returned are referred to as the range.

The collection of all a function's outputs is its range. Example: Let's have a look at the function f: A->B, where f(x) = 2x and A and B each represent a "collection of natural numbers." The domain in this instance is A, and the co-domain is B. The range then appears as the function's output.

The function is

f(x) = x - 3 + 5 = x + 2

for all value of x ∈ real number the function is define

So , the domain of the function x - 3 + 5 is  x ∈ R(real number)

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Answer: Y = x −3

Step-by-step explanation: If the inequality just has a > or < sign the line will be a broken or dotted line and its points are not included in the solution. In this case the equation of the boundary line is y = x −3 This line has a slope of 1 and a y-intercept = -3.

The answer is D. y = 3. That is because the sign shown in the question means greater than or equal to 3, meaning it can't get any greater than three, but it can equal it.

To find the coordinates of the point that partitions the directed line segment from ( − 5 , 4 ) to ( 1 , 8 ) into a ratio of 3 to 1, we can use the following formula:

(x,y) = (1- t) * (x1, y1) + t * (x2, y2)

Where (x1, y1) and (x2, y2) are the coordinates of the two endpoints of the directed line segment, t is a value between 0 and 1 that represents the ratio of the partition, and (x, y) are the coordinates of the point that partitions the segment.

In this case, we want the ratio of the partition to be 3 to 1, so t = 3 / (3 + 1) = 3/4

So we can substitute the values into the formula:

(x,y) = (1- 3/4) * (-5, 4) + (3/4) * (1, 8)

(x,y) = (-5/4, 4/4) + (3/4, 6/4)

(x,y) = (-5/4+3/4, 4/4+6/4)

(x,y) = (-2/4, 10/4)

(x,y) = (-0.5, 2.5)

So the point that partitions the directed line segment from ( − 5 , 4 ) to ( 1 , 8 ) into a ratio of 3 to 1 has coordinates (-0.5, 2.5)

The rate of B is  -0.003072 M/s.

The average rate of change is a measure of how much a quantity changes over a certain period of time. In this case, we are looking at the concentration of B, and we want to know how much it changes over the time interval from 0 to 332 seconds. To calculate this, we first need to determine the initial and final concentrations of B at these two points in time.

From the given data, we know that

Once we have these values, we can calculate the change in concentration of B by subtracting the initial concentration from the final concentration: 0.160 M - 0.670 M = -0.510 M. This tells us that the concentration of B decreases by 0.510 M over the time interval from 0 to 332 seconds.

Next, we need to divide this change in concentration by the length of the time interval to get the average rate of change. The length of the time interval is the difference between the final and initial time: 332 s - 0 s = 332 s. So, the average rate of change of B is (-0.510 M) / (332 s) = -0.001536 M/s. This tells us that the concentration of B decreases by 0.001536 M per second on average over the given time interval.

As we know that the reaction is of form A -> 2B, the rate of formation of B is equal to twice the rate of A.

So, Rate of B = 2* Rate of A =  2*(-0.001536) = -0.003072 M/s

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The left page number is 180 and the right page number is 181.

What is consecutive integers?

Consecutive integers or consecutive numbers are the terms used to describe the sequence of numbers. In this case, the integers are arranged in ascending order from smallest to highest. The following are a few examples: -4, -3, 2, 1, 0, 1, 2, 3, 4.

Given:

The left and right page numbers of an open book are two consecutive interfere whos sum is 361.

We have to find the page numbers.

Let

The left page number is n.

The right page number is n + 1.

As the sum of numbers is 361.

⇒ n + (n + 1) = 361

         2n + 1 = 361

              2n = 360

                n = 180

Hence, the left page number is 180 and the right page number is 181.

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The length of the guy wire is equal to 48 ft.

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given here: Distance of stake to the pole=14 feet and Distance from the pole to the tower as =25 ft. And height of the pole=10 feet.

Now let the angle that the guy wire makes with the stake is θ

Then we have Tanθ= 10/14

                                 =5/7

Again we also have Tan θ= height of the tower /base of the tower

Thus h/39=5/7 ( where h is the height of the tower).

    or, h=27.85

 Therefore using pythagoraes theorem we get the length of the wire as

=[tex]\sqrt{27.85^2+39^2}[/tex]

=47.92 feet or 48 ft. (Approx)

Hence, The length of the guy wire is equal to 48 ft.

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On solving the provided question, we can say that By addition we have the following data , Total y Stockholder's Equity is = $367,000.00 and $367,000.00 and $367,000.00      

The other three fundamental operations are subtraction, multiplication, and division. Addition is one of the four basic operations. The sum or total of these combined values is obtained by adding two integers.

By addition we have the following data ,

Total y Stockholder's Equity is = $367,000.00 and $367,000.00 and $367,000.00      

                                                 Case 1                             Case 2                          

                     Before stock             After 100%                     After Stock

                    transactions         stock dividend                   Split          

Nos of             105000                210000                      210000

shares

outstanding

Par per share      $1.00                              $1.00                   $0.50

Common Stock    $105,000.00              $210,000.00      $105,000.00

Account

Additional Paid  $91,000.00            $91,000.00            $91,000.00

in capital

Retained Earnings $171,000.00             $66,000.0         $171,000.00

Total y                    $367,000.00 $367,000.00         $367,000.00

Stockholder's Equity

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Answer: 22[tex]\sqrt{5}[/tex]

Step-by-step explanation:

[tex]5\sqrt{5)[/tex] X 2 =10[tex]\sqrt{5}[/tex]

3[tex]\sqrt{20\\[/tex] X 2= 12[tex]\sqrt{5}[/tex]

10[tex]\sqrt{5}[/tex] + 12[tex]\sqrt{5}[/tex] = 22[tex]\sqrt{5\\[/tex]

Therefore  , solution of ratio problem is 5760 m & 5.76 km, respectively, are the distances covered per hour for the two halves.

As a/b, a ratio shows the  variable relationship between two numbers. When two ratios are equal, as when a/b = c/d, we get a proportion. Mathematical issues involving the unit numbers of the quantities can be resolved using ratio and proportion.

Here,

The ratio approach can be used to solve the above problem as follows:

(A) A 1.6 m/s walking speed is typical.

The calculation for the speed in meters per hour is

1/3600 of an hour is equal to one second.

Take the following 1.6:3600 ratio as an example:

1.6 ÷ 1/3600

= 3600 × 1.6

= 5760

The typical walking speed is 1.6 m/s.

It implies a speed of 1.6 meters per second.

Now, 1 m equals 1/1000 km.

=> 1.6 m = 1.6/1000 km

Moreover, one second is equal to three thousand six hundredths of an hour.

As a result, the distance traveled in kilometers per hour can be calculated by using the following ratio:

1.6/1000 ÷ 1/3600

= (3600 × 1.6)/1000

= 5.76

Therefore, 5760 m and 5.76 km, respectively, are the distances covered per hour in meters and kilometers.

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After using Pythagorean theorem the rectangular floor is 4m long.

What is Pythagorean theorem ?

 A right angled triangle's missing length can be discovered using Pythagoras' Theorem.

The triangle has three sides: the adjacent, which doesn't touch the hypotenuse, the opposite, which is always the longest, and the hypotenuse (which is between the opposite and the hypotenuse).

Here in the given rectangular floor,

Width = 3m and Altitude which is hypotenuse = 5 m.

Now using Pythagorean theorem,

=> [tex]length^2+width^2=hypotenuse^2[/tex]

=> [tex]length^2+3^2=5^2[/tex]

=> [tex]length^2=5^2-3^2[/tex]

=> [tex]length^2=25-9=16=4^2[/tex]

=> length = 4m

Hence the rectangular storage unit is 4m long.

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300,000 km/s × Distance traval by light in one year

300,000 × 365days

300,000 × 365 × 24

300,000 × 365× 24 × 60

300,000 × 365× 24 × 60 × 60

9.46 × 10¹²

Answer:

54637737636553363666

Answer:

Step-by-step explanation:  

Answer:

Question 2: No Solution

Question 4: (2,-3)

Step-by-step explanation:

Question 2: {x-y=7} {x-y=-4}

Question 4: {5x+2y=4} {9x+2y=12}

There is two ways of solving this;

Elimination method and Substitution method.

I will be using the Substitution method for Question 2 and Elimination method for Question 4.

Substitution method is basically substituting in the equation like this;

Question 2:

x - y = 7 and x - y = -4

x - y = 7 into x = 7 + y

Substitute:

7 + y - y = - 4

7 = - 4

7 ≠ - 4

Therefore, there no solution to this equations.

Question 2: No Solution

Question 4:

Elimination Method is basically eliminates one of the variables, so we can solve a more simplified equation.

5x + 2y = 4 and 9x + 2y =12

5x + 2y = 4

-(9x + 2y = 12) - Multiply this equation by -1.

Now we have;

5x + 2y = 4

-9x -2y = -12

-4x = -8

x = 2

We can substitute x  to find y.

5(2) + 2y = 4

10 + 2y = 4

2y = -6    

y = -3

(2,-3)

Question 4 Solution: (2,-3)

RevyBreeze

So, on solving the question we can say that - the equation is  y=7.25x; y = 2356.25

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

here, the equation is -

y=7.25x

x = 325

y = 2356.25

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Roscoe is faster.

Speed is a scalar quantity that refers to "how fast an object is moving."

Given that, Emmy and Roscoe both run every day. Yesterday Emmy ran 8 mile in 2 hours. Roscoe ran 6 ½ miles in 1 ½ hours.

Speed = distance / time

Emily's Speed = 8 / 2 = 4 mph

Roscoe's speed = 6 ½ / 1 ½ = 6.5 / 1.5 = 4.33 mph

Since, Roscoe's speed is greater than Emily's speed.

Hence, Roscoe is faster.

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The statement that best defines a circle is  A. the set of all points in a plane that are the same distance from a given point called the center.

A circle is a shape produced by all points on a plane that are at a fixed distance from the center. It is the curve sketched out by a point moving in a plane so that its distance from a given point is constant. The radius is the distance between any two points on a circle and its center.

A circle is a basic closed curve that splits the plane into two regions: inner and exterior. In daily parlance, the phrase "circle" can refer to either the figure's boundary or the entire figure, including its inside; in pure technical parlance, the circle is simply the boundary and the entire figure.

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An example of time-ordered typical sample statistics is shown in the Control chart. It is used to process the Mean bar.

A control chart is a statistical tool for monitoring the effectiveness of a process over time. It has the form of a graph with two additional lines representing the upper control limit and lower control limit. The central line in the graph represents the mean or average of the data.

Control charts are a type of graph used in production control to assess the effectiveness of exceptional production procedures under challenging circumstances. Control charts are actually the tools used in control strategies. These curves were produced using historical data.

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Part a: Area of habitat - Area of field = Area of mowed portion.

Part b: Area of mowed portion: 4x(b - x)

For the stated question:

Part a:

The complete area is given as: Area of habitat.

The area kept for birds: Area of mowed portion

Central unmowed portion: area of field

Thus,

Area of habitat - Area of field = Area of mowed portion

Part b: Area of mowed portion: 4x(b - x)

Proof:

b² - (b - 2x)² = [b - (b - 2x)] [b + (b - 2x)]

                    =  [b - b + 2x] [b + b - 2x]

                    = (2x)(2b - 2x)

                    = 4x(b - x)

Thus, the Area of mowed portion: 4x(b - x).

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Answer:

a.y=-1/2×X + 4 is the req eqn for st.line.

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The number of units that the integer 56 is away from 12 is 44.

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information.

In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

The integer will be expressed as:

= 56 - 12

= 44

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The correct value for z that makes the algebraic expression true is equal to 12

In mathematics, an algebraic expression is an expression which is made up of variables and constants, along with algebraic basic operations such as addition, subtraction, multiplication and division.

we first open the bracket

10 + z - 4 = 18

z + 10 - 4 = 18

z + 6 = 18

subtract 6 from both sides of the equation

z + 6 - 6 = 18 - 6

z = 12

Therefore, 12 is the value of z that makes the algebraic expression true.

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Therefore , the solution to the given problem of expression comes out to be  -27 + 5i.

Multiplication, division, addition, and subtraction are all possible in math. The expression structure is as follows: Expression, calculator, and a number or variable Numbers, variables, and procedures (such as subtraction, multiplication, addition, or division, etc.) are all parts of a mathematical expression. You can compare two expressions or sentences.

Here,

Given : (2 + 5i)(−1 + 5i)

To find a + bi form

we get,

=>  (2 + 5i)(−1 + 5i)

=> -2 + 10i -5i +25i²

=> -27 + 5i

Thus ,-27 + 5i forms same expression as the a+bi form so, it is the solution for this problem.

Therefore , the solution to the given problem of expression comes out to be  -27 + 5i.

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Answer:

B) 8x + 350 ≥ 800

Step-by-step explanation:

A dance squad needs at least $800, this means the inequality sign will be greater than or equal to.

They already have $350, and each ticket is $8.

So,

8x + 350 ≥ 800

Answer: 144 economy seats and 16 first class seats

Step-by-step explanation:

1 : 9 first class seats to economy seats

1 : 9 x 16 = 16 : 144

160x9=1440

Step-by-step explanation:

your welcome no explanation just get the answer

50.545\degree with the positive x axis,  {133.909\ ; pounds}.

what is degree?

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Answer:

B. 18

Step-by-step explanation:

Given that f = 2.5,

8 + 4f

=8 + 4(2.5)

8 + 10 = 18

It would depend on how accurate the calculation was in this scenario.

In general, it is preferable to round each step to the correct number of significant figures, but in some circumstances, carrying one or two insignificant figures can assist prevent round-off errors.

All zeros that are to the right of the decimal point but to the left of a non-zero number in a decimal number that ranges between 0 and 1 are not significant.

If there are zeros in a whole number to the right of a non-zero digit but to the left of a recognised decimal point, the situation becomes questionable.

All of the last zeros of a decimal number are significant when it is rounded off to a specific number of decimal places.

Complete Question:

It is sometimes suggested that one or two extra decimal places be carried along in each step when rounding values to the proper number of significant figures.

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It would depend on how accurate the calculation was in this scenario.

In general, rounding each step to the right number of significant numbers is ideal, but in rare cases, carrying one or two insignificant digits can help prevent round-off mistakes.

All zeros to the right of the decimal point but to the left of a non-zero integer in a decimal number between 0 and 1 are ignored.

The issue becomes dubious if there are zeros in a whole integer to the right of a non-zero digit but to the left of a recognised decimal point.

When a decimal value is rounded to a specified number of decimal places, all of the final zeros are important.

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