Select all that apply.

Which of the following name an angle in the drawing?

Answer:

11.3 feet

Step-by-step explanation:

let x= answer

x²+4²=12²

x²=128

x=11.3137085

which rounds to

11.3

Answer:

≈ 11.3 ft.

Step-by-step explanation:

In order to solve this, we must use some trigonometry, in this case, SOH-CAH-TOA. If you don't know what it is, here's a quick explanation:

- SOH: Sin(θ) = Opposite / Hypotenuse

- CAH: Cos(θ) = Adjacent / Hypotenuse

- TOA: Tan(θ) = Opposite / Adjacent

(Remember, SOH-CAH-TOA can ONLY be used for right triangles. If the problem does not clearly show a right triangle, meaning that there's no box in the corner, you cannot use it)

When using SOH-CAH-TOA, we first must choose an angle, either the top one or the bottom one. We can't use the right angle as, well, you just can't :). First, we have to find the bottom angle, so circle it. Literally, just circle the angle, you'll thank me later. I'll explain why we don't solve the top angle later on.

After that, we just do some labeling on the sides of the triangle. First, label the shortest side that forms the circled angle, which is the floor (4 ft), as the Adjacent side. Then label the longest side of the triangle, which is the ladder (12 ft), as the Hypotenuse. Finally, label the side that doesn't form the circled angle as the Opposite side. This is why the circling comes in handy :)

Then, out of SOH, CAH, and TOA, we choose the one that has the sides that forms the circled angle. In this case, it's CAH, or cosine, as the adjacent and hypotenuse form the circled angle.

Next, we write out the formula and solve:

Cos(m∠Circled Angle) = Adjacent/Hypotenuse

Cos(m∠Circled Angle) = 4/12

Cos(m∠Circled Angle) x Cos^-1 = 1/3 x Cos^-1

m∠Circled Angle ≈ 70.5288 (Rounding to the nearest ten-thousandth)

Note: Pay attention to the 3rd line. 'Cos^-1' is basically the equivalent of '÷ Cos'.

The reason why we did the bottom angle first is because you cannot have two unknown variables when solving for one of them. That would've been the case if we did choose the top angle as we wouldn't know the measure of the wall nor the angle. Now that we have solved the bottom angle, we can move onto solving the length of the wall.

Looking at SOH-CAH-TOA, we can either use sine or tangent as we have the measures for both the adjacent and hypotenuse. I'll use sine cause why not? Anyways, let's move on!

Just like last time, we write out the formula and solve:

Sin(m∠Circled Angle) = Opposite/Hypotenuse

Sin(70.5288) = Opposite/12

0.9428 = Opposite/12

0.9428 x 12 = Opposite/12 x 12

11.3137 ≈ Opposite (Wall)

Wall ≈ 11.3 ft. (Rounding to the nearest tenth, as asked to do so by the problem)

Note: Be careful with SOH-CAH-TOA because I've messed up multiple times with my calculator while typing out my explanation, so just make sure you go over it several times before submitting your answer when solving trig problems :). But I'm confident with my answer, so just submit it without hesitation as I've already double-checked my work.

Answer:

Exactly $13.125 (approx $13.13)

Step-by-step explanation:

52.50 divided by 4 is 13.125. 1 shirt costs exactly $13.125. Round the half cent up to a whole cent.

Answer:

-0.375

Step-by-step explanation:

you just divide the numbers.

Answer:

x = 7.

Step-by-step explanation:

-18 = 6 (x - 10)

-18 = 6x - 60

6x = -18 + 60

6x = 42

x = 42/6 = 7.

Answer:

\(x=7\)

Step-by-step explanation:

\(-18=6(x-10)\)

Use distributive property.

\(-18=6x-60\)

Add 60 on both sides.

\(-18+60=6x\)

\(42=6x\)

Divide by 6 on both sides.

\(\frac{42}{6} =x\)

\(7=x\)

Another method.

\(-18=6(x-10)\)

Divide by 6 on both sides.

\(-18/6=x-10\)

\(-3=x-10\)

Add 10 on both sides.

\(-3+10=x\)

\(7=x\)

Give me Brainliest if my answer helped you.

2/3  is the probability that a random leaf that lands on the rectangle lands within the section shaped like a triangle.

We need to find the probability that a random leaf that lands on the rectangle lands within the section shaped like a trapezoid.

For this first find the total area as shown:

The given figure is a rectangle.

The area of the rectangle = length * width

Where, length = 6 cm + 3 cm = 9 cm and width = 5cm

Therefore the area of the rectangle is;

Area of rectangle = 9*5 = 45 cm²

Now find the area of a trapezoid.

The area of a trapezoid is = (a+b)*h/2

Where h is the height and a and b are the parallel sides.

Area of trapezoid = (9+3) *5/2

Thus, the area of a trapezoid is 30 cm.

Therefore, the probability that a random leaf that lands on the rectangle lands within the section shaped like a trapezoid is:

Probability = 30/45 = 2/3

Hence, the correct option is D)

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Complete question:

The numerical length of vw is 9.

To determine the numerical length of vw, we need to find the magnitude of the vector vw. We can use the distance formula, which states that the magnitude of a vector (a, b) is given by the square root of (a^2 + b^2).

Given vw = 4x - 7, we can substitute x = wx + vx to express vw in terms of wx and vx:

vw = 4(wx + vx) - 7

= 4(3 + vx) - 7

= 4(3 + 5x + 1) - 7

= 4(5x + 4) - 7

= 20x + 16 - 7

= 20x + 9

Now, we can find the magnitude of vw by substituting x = 0:

|vw| = |20(0) + 9|

= |9|

= 9

Therefore, the numerical length of vw is 9.

The numerical length of vw is determined to be 9 units using the given information and the distance formula for vectors.

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Step-by-step explanation:

That's what I got.

Hope that was helpful

Answer:

\(\boxed{x^4 + x^2 + x}\)

Step-by-step explanation:

\(\frac{x^5 - x^4 + x^3 -x^2 + x - 1}{x - 1}\)

\(= \frac{(x - 1)(x^4 + x^2 + x)}{x - 1}\)

\(= x^4 + x^2 + x\)

.

Happy to help :)

The correlation between your daily calorie intake and your GPA is not likely to be immediately apparent, and it would require further investigation to determine whether there is a positive or negative correlation, or no linear relationship between the two variables.

It is difficult to predict the correlation between your daily calorie intake and your GPA as they are not obviously related variables. However, it is possible that there may be a weak or indirect relationship between the two variables.

          If a person is consuming a well-balanced diet with the right amount of nutrients, vitamins, and minerals, they may have the energy and focus necessary to perform well academically. In this case, there may be a positive correlation between calorie intake and GPA. Alternatively, if a person is consuming an excessive amount of calories from unhealthy foods, they may be more likely to experience health problems that could impact their academic performance. In this case, there may be a negative correlation between calorie intake and GPA.

      On the other hand, there may be no direct linear relationship between the two variables, and other factors such as sleep, stress, exercise, and overall health may have a greater impact on academic performance than daily calorie intake.

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Answer:

the slope is 5

explanation:

goes up 5 and right 1

We have proven that (ƒ⁻¹)'(x) = 1/x for x > 0, under the given conditions. It's important to note that the inverse function theorem assumes certain conditions, such as continuity and differentiability, which are mentioned in the problem statement.

To prove that (ƒ⁻¹)'(x) = 1/x for x > 0, where ƒ : R → (0, [infinity]) and f'(x) = f(x) ≠ 0, we will use the definition of the derivative and the inverse function theorem.

Let y = ƒ(x), where x and y belong to their respective domains. Since ƒ is a one-to-one function with a continuous derivative that is non-zero, it has an inverse function ƒ⁻¹.

We want to find the derivative of ƒ⁻¹ at a point x = ƒ(a), which corresponds to y = a. Using the inverse function theorem, we know that if ƒ is differentiable at a and ƒ'(a) ≠ 0, then ƒ⁻¹ is differentiable at x = ƒ(a), and its derivative is given by:

(ƒ⁻¹)'(x) = 1 / ƒ'(ƒ⁻¹(x))

Substituting y = a and x = ƒ(a) into the above formula, we have:

(ƒ⁻¹)'(ƒ(a)) = 1 / ƒ'(a)

Since ƒ'(a) = ƒ(a) ≠ 0, we can simplify further:

(ƒ⁻¹)'(ƒ(a)) = 1 / ƒ(a) = 1 / x

Therefore, we have proven that (ƒ⁻¹)'(x) = 1/x for x > 0, under the given conditions.

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Jody has created a systematic sampling error by forgetting to include a segment of the population that is relevant to the study.

Systematic sampling is a sampling method where every nth member of a population is selected to be part of the sample. In Jody's case, she forgot to include a specific segment of the population, which means that the sampling process was not systematic. This error can introduce bias and affect the representativeness of the sample.

No calculations are required for this type of error.

Jody's mistake in not including a relevant segment of the population has resulted in a systematic sampling error. To ensure the accuracy and validity of the study, it is important to rectify this error by including the missing segment or adjusting the sampling method accordingly.

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Answer:

$0.02

Step-by-step explanation:

This is the correct way to do 2 cents. Since two is not in the tenths place, and is not yet a dollar, the correct answer is $0.02.

Hope this helps! :D

The representation of 2 cents in dollar sign will be $0.02.

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

It is known that,

$1 = 100 cents

Divide both sides by 100

$1/100 = 1 cents

Multiply by 2 on both sides,

$(1/100)2 = 2 cents

$0.02 = 2 cents

Hence "The representation of 2 cents in dollar sign will be $0.02".

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The critical point of f at z = 1 is a local minimum.

To find the critical points of the function f(z, 3) = 4z^2 - 8z + 1, we need to find the values of z where the first partial derivatives with respect to z are equal to zero. Let's solve it step by step.

Take the partial derivative of f with respect to z:

∂f/∂z = 8z - 8

Set the derivative equal to zero and solve for z:

8z - 8 = 0

8z = 8

z = 1

The critical point of f occurs when z = 1.

To determine whether the critical point is a local minimum, local maximum, or a saddle point, we can use the second partial derivative test. We need to calculate the second partial derivative ∂²f/∂z² and evaluate it at the critical point (z = 1).

Taking the second partial derivative of f with respect to z:

∂²f/∂z² = 8

Evaluate the second derivative at the critical point:

∂²f/∂z² at z = 1 is 8.

Analyzing the second derivative:

Since the second derivative ∂²f/∂z² = 8 is positive, the critical point (z = 1) corresponds to a local minimum.

Therefore, the critical point of f at z = 1 is a local minimum.

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Answer:

l = 626.4/bh

Step-by-step explanation:

A triangular prism have a base that is triangular in shape. The volume of a prism has the volume represented as follows.

volume = Al

where

A = Base area

l = width

Since the base is a triangle the base area will be the area of a triangle. Therefore,

volume of a triangular prism = 1/2bh l

where

b = base of triangle

h = height of triangle

volume = 313.2 ft³

313.2 = 1/2bh l

Make the width(l) subject of the formula

multiply both sides by 2

626.4 = bhl

divide both sides by bh

l = 626.4/bh

l = 626.4/bh

recall l = width

Compared with the graph of the parent function, an equation which shows only a vertical compression by a scale factor of 1/3 and a shift downward of 4 units is: A. y = 1/3∛x - 4.

In Geometry, a scale factor can be defined as the ratio of two corresponding side lengths or diameter in two similar geometric objects (shapes) such as equilateral triangles, square, quadrilaterals, polygons, etc., which can be used to either vertically or horizontally enlarge or reduce (compress) a function representing their size.

Generally speaking, the transformation rule for the dilation of a geometric object (square) based on a specific scale factor is given by this mathematical expression:

(x, y)      →    (SFx, SFy)  = (1/3x, 1/3y)

Where:

In this scenario, the only equation that is vertically compressed by a scale factor of 1/3 and translated (shifted) downward by 4 units is given by:

y = 1/3∛x - 4.

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Answer:

The first part is A

and second part is D

Step-by-step explanation:

100% on edge 2023

Answer:

2nd graph is a function

Step-by-step explanation:

To find graph is a function or not, draw a vertical line. if that line cuts your graph more than once, then it's not a function.

If you draw a vertical line through circled graph, it will cut your graph at two points. so it's not a function

If you draw a vertical line through 2 nd graph it will cut your graph at only one point. therefore it's a function.

Answer:

well its goiing down so its less the progresss

Step-by-step explanation:

The domain and range are

1. the domain is (-∞, +∞). and range of h(x) is [3, +∞)

2. the domain is (-∞, +∞). and the range of g(x) is (-∞, +∞)

3. the domain is (-∞, +∞). and range of g(x) is [0, +∞)

For the function h(x) = |x + 5| + 3:

Domain: The function h(x) can accept any real number as input since there are no restrictions on the value of x. Therefore, the domain is (-∞, +∞).

Range: The absolute value function |x + 5| always results in a non-negative value. Adding 3 to a non-negative value will also yield a non-negative value. Hence, the range of h(x) is [3, +∞).

For the function g(x) = -2x - 10:

Domain: The function g(x) can accept any real number as input since there are no restrictions on the value of x. Therefore, the domain is (-∞, +∞).

Range: The function g(x) is a linear equation with a negative slope (-2). As x increases, the value of -2x decreases. Thus, the range of g(x) is (-∞, +∞).

For the function g(x) = 7x²:

Domain: The function g(x) can accept any real number as input since there are no restrictions on the value of x. Therefore, the domain is (-∞, +∞).

Range: The function g(x) is a quadratic function with a coefficient of 7 in front of x². Since the coefficient is positive, the parabolic graph opens upwards. Hence, the range of g(x) is [0, +∞). The function can achieve any non-negative value or zero, but it does not reach negative values.

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Answer:

x = 30

Step-by-step explanation:

if A||B, then 4x + 2x must equals to 180 (interior angles of 2 parallel lines)

6x = 180

x = 30

The function f(x) = -2|x - 3| + 2 involves a horizontal shift of 3 units to the right, a vertical reflection, and a downward stretch. Its domain is all real numbers, and its range is all real numbers less than or equal to 2.

The function f(x) = -2|x - 3| + 2 is a transformation of the basic absolute value function f(x) = |x|. Let's analyze the transformations and then graph both functions.Transformations:

1. Shifting: The function f(x) = -2|x - 3| + 2 involves a horizontal shift of the absolute value function f(x) = |x|. The term (x - 3) inside the absolute value causes a shift of 3 units to the right.

2. Reflecting: The negative sign in front of the absolute value function reflects the graph across the x-axis. It causes the function to be reflected vertically.

3. Compressing or stretching: There is no compression or stretching factor present in this particular function.

Graph of the basic function f(x) = |x|:

The graph of the basic function f(x) = |x| is a V-shaped graph that passes through the origin (0, 0). It has symmetry with respect to the y-axis.Graph of the given function f(x) = -2|x - 3| + 2:

To graph the given function, we start with the basic absolute value function f(x) = |x| and apply the transformations: a horizontal shift of 3 units to the right and a vertical reflection. The negative coefficient (-2) affects the amplitude, making the graph steeper.

Domain of f(x) = -2|x - 3| + 2:

The domain of the given function is all real numbers since there are no restrictions on the input values of x.

Range of f(x) = -2|x - 3| + 2:

The range of the given function is the set of all real numbers less than or equal to 2, as the vertical reflection and the coefficient (-2) cause the graph to be reflected and stretched downward.

Note: Without specific constraints on the values of x, the domain and range of the given function follow the typical domain and range of absolute value functions.

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The type of errors and number of errors depend on the experiment, that is how it is set up and the devices that one is using for measurement.

Assuming that we are using simple lab equipments and the experiment to be performed is - dropping a ball from a fixed height and measuring the time it takes for the ball to hit the ground. Let us also consider that the distance of the ball from the ground is already known. We can think of no such complex or non-measurable errors that can occur in this  experiment if performed with utmost care.

There can be two  possible errors that can occur in this simple experiment ( excluding errors from calculations)that are as follows :

1.If using a metre rule then there can occur systematic error.

2.Random errors can occur which are actually human errors, that is the stopwatch might not be started or stopped exactly when the ball is dropped or touched the ground respectively.

If we use a light gate, digital sensors and a computer software then the above errors are eliminated or at least gets significantly reduced.

Thus the measured value for g may not be the accepted value.

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Answer:

39.8 cm^2

Step-by-step explanation:

area of triangle

base = 5 cm

height = 12 cm

are of triangle = base *height / 2

=5*12/2

=60/2

30 cm^2

area of semi circle

diamtere = 5

radius = diameter/2

=5/2

=2.5

area of semi circle = πr^2/2

=3.14*2.5^2/2

=19.625/2

=9.8125 cm^2

are of the figure = are of triangle + area of semicircle

=30 + 9.8125 cm^2

=39.8125 cm^2

=39.8 cm^2   (after converting to the nearest tenth)

The major benefit of enterprise application integration (EAI) is that it allows different applications and systems within an organization to seamlessly communicate and share data.

This integration eliminates data silos and enables real-time data exchange, leading to improved efficiency, productivity, and decision-making within the organization.

By implementing EAI, businesses can achieve the following benefits:

1. Enhanced Data Accuracy and Consistency: EAI ensures that data is synchronized and consistent across different systems, eliminating the need for manual data entry and reducing the risk of errors or discrepancies.

2. Increased Efficiency and Productivity: EAI automates the flow of information between applications, reducing the need for manual intervention and streamlining business processes.

This leads to improved efficiency and productivity as employees spend less time on repetitive tasks.

3. Improved Decision-Making: EAI provides a unified view of data from various systems, enabling better analysis and decision-making. Decision-makers have access to real-time and accurate information, allowing them to make informed and timely decisions.

4. Cost Savings: By integrating existing applications instead of developing new ones from scratch, EAI can help businesses save costs. It reduces the need for duplicate systems, minimizes data duplication, and optimizes IT infrastructure.

5. Scalability and Flexibility: EAI allows organizations to easily integrate new applications or systems as their needs evolve. It provides a flexible framework that can accommodate future growth and changes in business requirements.

Overall, the major benefit of enterprise application integration is the ability to achieve seamless connectivity and data exchange between systems, leading to improved efficiency, productivity, and decision-making in an organization.

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The width of the rectangular garden is 11 feet

The formula for calculating the perimeter of a rectangle is expressed as;

Perimeter = 2(l+w)

Given that;

From the information given, we have that;

Now, substitute the values

50 = 2(8 + 2w + w)

add the like terms

50 = 2(8 + 3w)

expand the bracket

25 = 8 + 3w

collect like terms

3w = 33

Divide by the coefficient of w

w = 11 feet

Hence, the value is 11 feet

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Answer: 1424850

Step-by-step explanation:

2.3 x 10³ = 2300

5.9 x 105 = 619.5

2300 x 619.5 = 1424850

Pls thank and rate <3 (and branliest if ok with u :)))

The expression to illustrate the information when Toby's seventh grade class is going on a field trip to a history museum will be 0.2 (10x + 30y).

It should be noted that there are x students and y teachers going on the trip. Tickets for students are $10 each and tickets for teachers are $20 each and the history museum gave the class 20% off as part of a group promotion.

Therefore, it should be noted that the expression to illustrate this will be:

= 20% × (10 × x) + (20 × y)

= 0.2 (10x + 30y)

Therefore, the expression to illustrate the information when Toby's seventh grade class is going on a field trip to a history museum will be 0.2 (10x + 30y).

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Toby's seventh grade class is going on a field trip to a history museum. There are x students and y teachers going on the trip. Tickets for students are $10 each and tickets for teachers are $20 each. The history museum gave the class 20% off as part of a group promotion. What expression will illustrate this?

The net profit margin ratio for Jones Corporation for 2012 is 14.29%.

The net profit margin ratio or the net income ratio describes the relative size of the net income in comparison with the net sales revenue.

The ratio is the quotient of the two values with the net income as the numerator and the net sales revenue as the denominator, multiplied by 100.

                                      2012               2011

Net sales                    $784,000     $697,000

Cost of goods sold      406,000       377,000

Net income                    112,000         80,000

Net income ratio for 2012 = Net Income ÷ Net Sales x 100

= 14.29% ($112,000/$784,000 x 100)

Thus, when the net profit is compared to the net sales revenue, we can conclude that the net income represents only 14.29% of the net sales.

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Answer:

Therefore, the book value of the equipment at the end of year four (including year four) is $2,880.

Step-by-step explanation:

To calculate the book value of the equipment at the end of year four using the MACRS method with GDS recovery period of five years, we can use the following steps in Excel:

1. Open a new Excel spreadsheet and create the following headers in row 1: Year, Cost, Depreciation Rate, Annual Depreciation, Cumulative Depreciation, and Book Value.

2. Fill in the Year column with the years 1 through 6 (since the truck has a life of six years).

3. Enter the cost of the truck, $12,000, in cell B2.

4. Use the following formula in cell C2 to calculate the depreciation rate for each year:

=MACRS.VDB(B2, 5, 5, 1, C1)

This formula uses the MACRS.VDB function to calculate the depreciation rate for each year based on the cost of the truck (B2), the GDS recovery period of five years, the useful life of six years, the salvage value of $2,000, and the year (C1).

5. Copy the formula in cell C2 and paste it into cells C3 through C7 to calculate the depreciation rate for each year.

6. Use the following formula in cell D2 to calculate the annual depreciation for each year:

=B2*C2

This formula multiplies the cost of the truck (B2) by the depreciation rate for each year (C2) to get the annual depreciation.

7. Copy the formula in cell D2 and paste it into cells D3 through D7 to calculate the annual depreciation for each year.

8. Use the following formula in cell E2 to calculate the cumulative depreciation for each year:

=SUM(D$2:D2)

This formula adds up the annual depreciation for each year from D2 to the current row to get the cumulative depreciation.

9. Copy the formula in cell E2 and paste it into cells E3 through E7 to calculate the cumulative depreciation for each year.

10. Use the following formula in cell F2 to calculate the book value of the equipment for each year:

=B2-E2

This formula subtracts the cumulative depreciation for each year (E2) from the cost of the truck (B2) to get the book value.

11. Copy the formula in cell F2 and paste it into cells F3 through F7 to calculate the book value for each year.

12. The book value of the equipment at the end of year four (including year four) is the value in cell F5, which should be $2,880.

Answer:

1.5

Step-by-step explanation:

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