Given that cos 63°≈ 0.454, enter the sine of a complementary angle.
sin

The estimated percentage of idle time for air-express cargo loaders is approximately 9.09%.

To calculate the estimated percentage of idle time, we need to divide the number of observations in which the loaders were idle by the total number of observations and multiply by 100.

In this case, the loaders were idle in 5 out of 55 observations. Dividing 5 by 55 gives us 0.0909. Multiplying this by 100, we find that the estimated percentage of idle time is approximately 9.09%.

This means that, based on the initial survey, it is estimated that the loaders are idle approximately 9.09% of the time. This information provides an insight into the frequency or occurrence of idle periods for the air-express cargo loaders and can be used to evaluate their efficiency or productivity.

Learn more about percentage here:

https://brainly.com/question/27855621

#SPJ11

Answer:

Step-by-step explanation:

5 1/4 feet above sea level minus 15 1/2 will equal the distance the diver is below sea level.

5 1/4 - 15 1/2 = 10 1/4 feet below sea level

We want to find the measure of x given that we know that m and n are congruent.

The measure of x is 116°.

Two angles are congruent if they have the same measure.

Then we have ∠n = ∠m

We also know that the sum of all interior angles of a triangle is equal to 180°, then if we look at the smaller triangle we have that:

114° + ∠n + ∠m = 180°

∠n + ∠m = 180° - 114° = 66°

Knowing that these measures are equal we can write:

2*∠m = 66°

∠m = 66°/2 = 33°

Now that we know the measure of m, we can do the same thing for the larger triangle:

∠x + ∠m + 31° = 180°

∠x + 33° + 31° = 180°

∠x = 180° - 64° = 116°

The measure of x is 116°.

If you want to learn more, you can read:

https://brainly.com/question/25206032

Applying the exterior angle theorem and the sum of triangles, the value of x in the figure is: \(\mathbf{x = 64^{\circ}}\)

Recall:

Sum of triangles = 180 degrees

Exterior angle = sum of two interior opposite angles

Since we know that angles m and n are congruent, therefore:

\(m = \frac{1}{2} (180 - m \angle RTU)\)

\(m = \frac{1}{2} (180 - 114)\\\\\mathbf{m = 33^{\circ}}\)

Find x (exterior angle of triangle SUV):

\(x = 31 + m\) (exterior angle of a triangle theorem)

\(x = 31 + 33\\\\\mathbf{x = 64^{\circ}}\)

Therefore, applying the exterior angle theorem and the sum of triangles, the value of x in the figure is: \(\mathbf{x = 64^{\circ}}\)

Learn more here:

https://brainly.com/question/17307144

Answer:

distributive

Step-by-step explanation:

(x+y) (z) = xz+ yz    is distributive

Answer:

-1

Step-by-step explanation:

to find x, use the following formula:

y = mx + b

(y = 0)

(m = change in y-value ... which is 2)

(x = change in x-value ... which is 2)

(b = y-axis ... which is -2)

y = mx + b

y = \(\frac{2}{2}\) + -2

\(\frac{2}{2}\) = 1

y = 1 + -2

y = -1

Answer:

Uh this answer is not entirely true but I THINK (THINK) the population density of each per m is 638.07 because.

Step-by-step explanation:

15.000+ 275+ 348.070=638.07. AGAIN IM NOT SURE THE ANSWER IS ENTIRELY TRUE. Okay but hope this is right!

Answer:

19 2/3

Step-by-step explanation:

8+11=19, & 5/12+1/4=8/12

Answer:

224

Step-by-step explanation:

56 * 4 =224

Answer:

224

Step-by-step explanation:

the pattern is 4 times the space the number is in

ex: 4,8,12,16 because 16 is the 4th number and 4x4= 16

hope this helps!

Have a wonderful day :D

If L || M. Then the value of the variable 'x' will be 17.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees.

The side of the rectangle is L and M. If L || M.

L = 8x + 20

M = 11x - 31

Then the value of 'x' is given as,

M = L

11x - 31 = 8x + 20

11x - 8x = 20 + 31

3x = 51

x = 17

If L || M. Then the value of the variable 'x' will be 17.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

The side of the rectangle is L and M. If L || M.

L = 8x+20

M= 11x-31

Answer:

Step-by-step explanation:

The given table is

Days     Bees

  0        10,000

 10        7,500

 20       5,600

 30       4,200

 40       3,200

 50       2,400

Where \(x\) represents days and \(y\) represents bees.

The exponential function that models this problem must be like

\(y=a(1-r)^{x}\), which represenst an exponential decary, because in this case, the number of bees decays.

We nned to use one points, to find the rate of decay. We know that \(a=10,000\), because it starts with 10,000 bees.

Let's use the points (10, 7500)

\(y=a(1-r)^{x}\\7500=10000(1-r)^{10}\)

Solving for \(r\), we have

\(\frac{7500}{10000}=(1-r)^{10} \\(1-r)^{10} =0.75\)

Using logarithms, we have

\(ln((1-r)^{10}) =ln(0.75)\\10 \times ln(1-r)=ln(0.75)\\ln(1-r)=\frac{ln(0.75)}{10} \approx -0.03\\e^{ln(1-r)}=e^{-0.03}\\1-r =e^{-0.03}\\r=-e^{-0.03}+1 \approx 1.97\)

Replacing all values in the model, we have

\(y=10000(1-1.97)^{x}\\y=10000(0.97)^{x}\)

Therefore, the right answer is the first choice, that's the best approximation to this situation.

Answer:

A. y = 9,958(0.972)x

Step-by-step explanation:

Answer: 108\(\pi\) + 72 \(mi^{2}\) or 411.29 \(mi^{2}\)

Step-by-step explanation:

In this situation, we need to seperate the polygon into two pieces, the part of a circle and the right angle triangle.

The area of the part of the circle is

\(\frac{3}{4}\) × \(\pi\)\(r^{2}\) as it is \(\frac{3}{4}\) of a circle. Insert r as 12(because the radius is 12), we get 108\(\pi\)

For the right angle triangle, we use the equation \(\frac{1}{2} bh\) , which in this case b and h are 12 so the area of the right angled triangle is \(\frac{1}{2}\) × 12 × 12 = 72

So the combined area is 108\(\pi\) + 72 or around 411.29 \(mi^{2}\)

Answer:

on a half circle of radius 12 Area = (12²*ft)/2

on a right angle triangle Area = (12*12)/2 = 72

on 1/4 radius 12mi Area = (12²*ft)/4

Area = (144ft)/2 + 72 + (144ft)/4

Area = 72ft+36ft+72 = 108ft+72(mi²)

Step-by-step explanation:

Answer:

\(A = 180 - (90 + 72) \\ A= 18° \\ \\ from \: pythogoras \\ a = 3.4 \\ b = 10.5\)

Answer:

Using the net below, find the surface area

of the pyramid.

sto

5 in

5 in.

Surface Area

=

[?] in?Step-by-step explanation:

The complex exponential Fourier series of a signal can be determined by computing the coefficients A₀ and Aₙ.

For (i), the complex exponential Fourier series is given by:

X(ω) = A₀ + ∑[Ancos(nωt + φn) ], where

A₀ = 1/2

Aₙ = (1/2)[cos(2nπ/8) + cos(2nπ/8 + π/2)]

For (ii), the complex exponential Fourier series is given by:

X(ω) = A₀ + ∑[Ancos(nωt + φn) ], where

A₀ = 1

Aₙ = (2/2)[sin(nπ/3) + 3cos(nπ/3 + π/3)]

In conclusion, the complex exponential Fourier series of a signal can be determined by computing the coefficients A₀ and Aₙ. This technique can be used to analyze any periodic signal or system and is invaluable in signal processing, communications, and control engineering.

To know more about Fourier series, click-

https://brainly.com/question/30763814

#SPJ11

Answer: B

Step-by-step explanation:

When answering this question, you need to look at ALL the possible solutions, and try to calculate them. When you try option A, which is 1 out of 6, and find the percentage, you get 16.666666666667%, which rounds to 17%, NOT 16. When you try B, though, where you do 3 out of 8, you get 37.5, which usually rounds up to 38, which seems to be the correct answer for this question.

There is no graph provided for reference, but if the graph shows a probability distribution, then the probabilities that are equal to 0.3 would depend on the specific shape and values displayed on the graph.

Without this information, it is impossible to determine which probabilities are equal to 0.3. Based on the given information, the graph represents a probability distribution. To determine which probabilities are equal to 0.3, you would need to analyze the graph (which is not provided). However, I can explain each term:
1. p(5≤x≤8): This represents the probability that x falls between 5 and 8, inclusive.
2. p(x≤3): This denotes the probability that x is less than or equal to 3.
3. p(x≥3): This signifies the probability that x is greater than or equal to 3.
4. p(3≤x≤5): This indicates the probability that x falls between 3 and 5, inclusive.

To know more about probability visit:

https://brainly.com/question/30034780

#SPJ11

Answer:

20

Step-by-step explanation:

the 0 is not significant since it is not sandwiched between 2 sigfigs and is not the last digit after a decimal

Answer:

6

Step-by-step explanation:

The second shape is missing a face.

Answer:

six

Step-by-step explanation:

got it right on test

The best object-oriented program design for this car dealership's software program is to use a single class Car, with three instance variables (fields):

A class can be defined as a user-defined blueprint (prototype) or template that is typically used by software programmers to create objects and define the data types, categories, and methods that should be associated with these objects.

In object-oriented programming (OOP) language, a class that is written or created to implement an interface in a software would most likely implement all of that interface's method declarations without any coding error.

In this scenario, the best object-oriented program design for this car dealership's software program is to use a single class Car, with three instance variables (fields):

Read more on class here: brainly.com/question/20264183

#SPJ1

Complete Question:

A car dealership needs a program to store information about the cars for sale. For each car, they want to keep track of the following information: number of doors (2 or 4), whether the car has air conditioning, and its average number of miles per gallon. Which of the following is the best design?

(A) Use four unrelated classes: Car, Doors, AirConditioning, and MilesPerGallon.

(B) Use a class Car with three subclasses: Doors, AirConditioning, and MilesPerGallon.

(C) Use a class Car, with fields: numDoors, hasAir, and milesPerGallon.

(D) Use a class Car, with subclasses of Doors, AirConditioning, and MilesPerGallon.

(E) Use classes: Doors, AirConditioning, and MilesPerGallon, each with a subclass Car.

Therefore, the graph should show a straight line with a positive slope, starting at (0, 100) and passing through (2, 120), since 2 students attending the dance would raise $120.

by the question.

graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma negative 100 through the point 2 comma negative 80.

graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma negative 100 through the point 2 comma negative 120

graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma 100 through the point 2 comma 80.

graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma 100 through the point 2 comma 120

The correct graph that describes the relationship between the amount of money raised and the number of students who attend the dance is

graph with the x-axis labeled number of students and the y-axis labeled amount of money raised and a line going from the point (0, 100) through the point (2, 120).

This is because the club has a fixed cost of $100 for decorations, which is independent of the number of students attending the dance. For every student that attends the dance, the club raises $10. Therefore, the graph should show a straight line with a positive slope, starting at (0, 100) and passing through (2, 120), since 2 students attending the dance would raise $120. The other two graphs have incorrect slopes or starting points, and do not accurately represent the relationship between the number of students attending the dance and the amount of money raised.

To learn more about straight line:

https://brainly.com/question/29223887

#SPJ1

Answer: To find the price of the car in May, we can use the formula:

New price = Original price - (Original price x Discount rate)

In this case, the original price is $22,800, and the discount rate is 5%, which can be written as 0.05.

So, the new price in May is:

New price = 22700 - (22700 x 0.05)

New price = 22700 - 1135

New price = $21,565

So, the price of the car in May was $21,565.

To find the percentage of the price of the car in May as compared to the price of the car in April, we can use the formula:

(New price / Original price) x 100

In this case, the new price is $21,565 and the original price is $22,800

(21565 / 22700) x 100 = 0.95 x 100 = 95%

Therefore, in May, the price of the car was 95% as compared to the price of the car in April.

Step-by-step explanation:

The greatest common factor (GCF) of the expression 12x^3y, 6x^2y^2, and -9xy^3 is 3xy, and factoring out this GCF yields 3xy(4x^2 - 2xy - 3y^2).

To factor the GCF, we need to identify the common factors present in all the terms. In this case, the common factors among the terms are 3, x, and y. By factoring out the GCF, we can rewrite the expression as 3xy multiplied by the remaining factors.

The GCF, 3xy, is then distributed to each term within the parentheses. This process leaves us with the expression (4x^2 - 2xy - 3y^2) within the parentheses. By factoring out the GCF, we have effectively extracted the common factors, leaving behind the remaining factors that differ from term to term.

Thus, the correct factorization of the GCF is 3xy(4x^2 - 2xy - 3y^2), where the GCF 3xy has been factored out, and the remaining factors are contained within the parentheses.

To learn more about factoring, click here: brainly.com/question/29074132

#SPJ11

The coordinate rule for reflecting a point across the y-axis is (x, y)→(-x, y).

While graphing trapezoid WXYZ and its image after a reflection across the y-axis in the coordinate plane,

the coordinates of W are (-1, 3), those of X are (-1, -4), those of Y are (-5, -4), and those of Z are (-3, 1).

The following are the graphs of trapezoid WXYZ and its image after a reflection across the y-axis:

Part A Graph trapezoid WXYZ and its image after a reflection across the y-axis.

Part B Determine the coordinate rule for reflecting a point across the y-axis.

In general, to reflect a point (x, y) across the y-axis, one simply negates the x-coordinate, resulting in the point (-x, y).

Therefore, the coordinate rule for reflecting a point across the y-axis is (x, y)→(-x, y).

for such more question on coordinate

https://brainly.com/question/24737967

#SPJ11

Answer:

The distance betwen -4 and 5 is 9 spaces.

The distance betwen 4 and 3 is 1.

If you meant -4 and 3 then it is 7.

Step-by-step explanation:

   -5 -4 -3 -2 -1 0 1 2 3 4 5

Answer:

The better deal is $32.05/15 gal

Step-by-step explanation:

Divide:

56/25

=2.24

32.05/15

=2.13666667

=2.14

The largest possible value for the decimal $a. B + c. D$  us:

9.7 + 8.6 which results to 18.3.

Given that a, b, c, and d are different numbers (from 1 to 9), we are to find the largest possible value of a.b + c.d.

This problem can be answered by trial and error and with some logic. Clearly, a to d cannot be at the lower end of the values (1 to 5). Since the digits must be different, it can be a combination of digits from 6 to 9.

It is rather tempting to say that the 9.8 + 7.6 would yield the highest possible sum (=17.4) but this is incorrect. Since it is the sum of two numbers with a decimal, we have to maximize on the ones digit first before maximizing the tenths digit. Therefore: the combination of numbers must then be:

9.7 + 8.6 which results to 18.3

9.6 + 8.7 yields 18.3 as well.

Hence we get the required answer,

Learn more about Decimals here:

brainly.com/question/28416295

#SPJ4

Answer:

I have no example to go off

Step-by-step explanation:

The correct value of the inequality as solves is x > 14 , and the error made by the student was that he directly divided the RHS by 7.

To simplify the equation we will multiply 7 on both the sides.

Then we will get the result as 7x > 98

Thus, we can say that the new inequality will be x > 14 ,

Hence , the mistake made by the student was that he didn't divided both the sides by 7 but only one side.

So a result, he obtained the incorrect result x>2.

Inequality is a concept in mathematics and uses symbols such as > , < , <= , >= etc.

To learn more about inequality

brainly.com/question/28823603

#SPJ4

Answer:

$180

Step-by-step explanation:

.3 * 600

Answer:

He earned $180.

Step-by-step explanation:

Multiply 600 by .30 to get 180. Hope this helps!