The length of a rectangular mailing label is 3 centimeters less than twice the width. The perimeter is 24 centimeters. Find the dimensions of the label.

Answers

Answer 1

The width of the mailing label is 6 centimeters, and the length is 9 centimeters. Let's assume the width of the mailing label as 'w' centimeters.

According to the given information, the length of the label is 3 centimeters less than twice the width, which can be expressed as (2w - 3) centimeters.

The perimeter of a rectangle is calculated by adding all four sides. In this case, the perimeter is given as 24 centimeters. So, we can set up the equation:

Perimeter = 2(length + width)

24 = 2((2w - 3) + w)

24 = 2(3w - 3)

24 = 6w - 6

6w = 30

w = 5

Therefore, the width of the mailing label is 5 centimeters. Substituting this value into the expression for the length, we can find:

Length = 2w - 3

Length = 2(5) - 3

Length = 10 - 3

Length = 7

Hence, the dimensions of the label are 5 centimeters in width and 7 centimeters in length.

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Related Questions

Solve x - 6y = -30 in Ax + bc = c to where you get y= mx + b

Answers

The answer we get in the form of y = mx + b. The equation is y  = x/6 + 5

What is the Slope Intercept Form of a Line?

The graph of the linear equation y = mx + c is a line with m as slope, m and c as the y-intercept. This form of the linear equation is called the slope-intercept form, and the values of m and c are real numbers.

The given equation is :

x - 6y = -30

Given equation convert into y = mx + b

Now, According to the question:

x - 6y = -30

Subtract x on both sides:

-x + x - 6y = -30 - x

We get:

-6y = -30 - x

Divide by 6 on both sides:

-y = -x/6 - 30/6

-y = -x/6 - 5

Multiply by -1 on both sides, we get:

y = x/6 + 5

Now, the form of slope - intercept is y = mx + b

Hence, The value of m 1/6 and b = 5  

Therefore, The answer we get in the form of y = mx + b. The equation is y  = x/6 + 5.

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Select each expression that has a value of 15 when x = 15 D A - 10 3 DB 15.521 * * OC (3,015 - ) - 186 OD 2022-30 DE -25 what is the answer?​

Answers

The expressions that have a value of 15 when x = 15 include the following:

A. x/3 + 10

C. (3,015 ÷ x) - 186

How to evaluate each of the expression?

Based on the information provided, we would determine the output value of each of the given expression by substituting 15 for the value of x as follows;

Expression = x/3 + 10

Expression = 15/3 + 10

Expression = 5 + 10

Expression = 15 (True).

Expression = 15,521 ÷ x

Expression = 15,521 ÷ 15

Expression = 1034.73 (False).

Expression = (3,015 ÷ x) - 186

Expression = (3,015 ÷ 15) - 186

Expression = 201 - 186

Expression = 15 (True).

Expression = 20x² ÷ 30

Expression = 20(15)² ÷ 30

Expression = 4500 ÷ 30

Expression = 150 (False).

Expression = 20x²/5 - 25

Expression = 20(15)²/5 - 25

Expression = 900 - 25

Expression = 875 (False).

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

what is the value of x in the figure below

Answers

Answer:

24

Step-by-step explanation:2x+42= 90

2x=90-42

2x=48

x=24

Step-by-step explanation:

2x°+42°=90°

2x+42°-42°=90°-42°

2x/2=48°/2

x=24°

But Iam not sure I just try

The dealership bought a used car for $3,200 and sold the car for $8,950. What percentage was the mark-up? Round to the nearest tenth of a percent.

Answers

To calculate the mark-up percentage, we need to find the difference between the selling price and the buying price, and then express that difference as a percentage of the buying price.

Buying price: $3,200

Selling price: $8,950

Mark-up = Selling price - Buying price = $8,950 - $3,200 = $5,750

Now, we'll calculate the mark-up percentage:

Mark-up percentage = (Mark-up / Buying price) * 100

Mark-up percentage = ($5,750 / $3,200) * 100 = 179.6875

Rounding to the nearest tenth of a percent, the mark-up percentage is approximately 179.7%.

Therefore, the mark-up percentage for the used car is 179.7%.

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a field project superintenint earns an annual salary of 72800

Answers

A field project superintendent earns an annual salary of $72,800. This is a piece of information about the annual salary of a field project superintendent.

A field project superintendent is a person responsible for overseeing and managing construction projects. This position is responsible for ensuring that the construction project is completed on time, within budget, and in accordance with safety and quality standards. This person must have a thorough understanding of construction principles and techniques, as well as the ability to read and interpret blueprints and specifications.

A salary is a fixed amount of compensation paid to an employee for their work. The amount of salary is typically determined by the employee's position, job duties, and level of experience. Salaries are usually paid on a monthly or bi-weekly basis.

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The total cost for Baydan and three of her friends to go ice skating and be represented by the expression 4x+36 the four friends pay and amount x to rent the ice skates and admission fee. How much is the admission fee for one person?

Answers

We know that the total cost for all four friends is 4x + 36, so we can set up an equation: 4x + 4a = 4x + 36 Subtracting 4x from both sides: 4a = 36 Dividing both sides by 4: a = 9.

Therefore, the admission fee for one person is 9.

In the given expression 4x + 36, the term 4x represents the amount each friend pays for renting the ice skates, and the constant term 36 represents an additional cost or admission fee for all four friends.

To find the admission fee for one person, we need to divide the constant term 36 by the number of friends, which is 4.

Admission fee for one person = 36 / 4

Calculating this expression, we get:

Admission fee for one person = 9

Therefore, the admission fee for one person is 9.

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Eric is working for an ad firm. He is responsible for storyboarding. Help him specify the different types of audio in the storyboard.


primary audio


secondary audio


background audio


He can make a note of scenes where surrounding noise is required.


>


He can make a note of external microphone to record audio simultaneously while


recording video.


He can make a note of additional music that he wants to add while editing.

Answers

Specify primary audio , secondary audio (sound effects/music), and background audio (ambient music) in the storyboard. Note scenes with surrounding noise, use an external microphone for recording, and plan additional music for editing.



In storyboarding for an ad firm, Eric needs to consider three types of audio: primary audio, secondary audio, and background audio. Primary audio refers to the main audio component that drives the narrative or delivers important information in the ad. This can include dialogue, voiceover, or any sound directly related to the main subject. Secondary audio supports the primary audio and adds depth to the storytelling. It can include sound effects, ambient noise, or music that complements the visuals. Background audio provides the overall atmosphere and mood of the ad. It can include ambient music or soundscapes that create the desired emotional tone.

Additionally, Eric should make notes of scenes where surrounding noise is required. This means capturing the environmental sounds that enhance the authenticity and realism of the ad, such as street noise, nature sounds, or crowd reactions. He should also consider using an external microphone to simultaneously record audio while filming the video. This ensures high-quality audio capture and reduces the reliance on the camera's built-in microphone, which may not provide optimal sound recording. Lastly, Eric can make a note of any additional music he intends to add during the editing process. This can involve selecting appropriate background tracks, jingles, or any other musical elements that enhance the overall impact of the ad. By carefully considering these audio aspects during storyboarding, Eric can create a compelling and immersive ad experience for the audience.

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what is the value of X?

Answers

The calculated measure of the angle x is 100 degrees

How to calculate the value of x

From the question, we have the following parameters that can be used in our computation:

The figure

The sum of angles in a quadrilateral is 360 and the angle at a point is 360

Also, the sum of angles on a straight line is 180

So, we have

360 - x + (180 - 130) + (180 - 170) + (180 - 140) = 360

So, we have

- x + (180 - 130) + (180 - 170) + (180 - 140) = 0

Next, we have

x = (180 - 130) + (180 - 170) + (180 - 140)

Evaluate

x = 100

Hence, the value of x is 100 degrees

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Darius filled up his gas tank with 24 gallons of gas. For each mile that he drives, he uses 0.06 gallons of gas. Which formula represents the number of gallons of gas left after driving n miles?

Answers

The formula that represents the number of gallons of gas left after driving n miles is 24 - 0.06n.

Darius initially filled up his gas tank with 24 gallons of gas. For each mile he drives, he consumes 0.06 gallons of gas. To determine the number of gallons of gas left after driving n miles, we need to subtract the amount of gas used from the initial amount.

Let's consider the amount of gas used for n miles. Since Darius uses 0.06 gallons of gas for each mile driven, the total amount of gas used for n miles can be calculated as 0.06n. To find the number of gallons of gas left, we subtract the gas used from the initial amount: 24 - 0.06n.

Therefore, the formula that represents the number of gallons of gas left after driving n miles is 24 - 0.06n. This formula allows us to calculate the remaining gas in the tank based on the number of miles driven by Darius.

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A number is equal to the sum of half a second number and 3. The first number is also equal to the sum of one-quarter of the second number and 5. The situation can be represented by using the graph below, where x represents the second number. On a coordinate plane, a line goes through (0, 3) and (8, 7) and another line goes through (0, 5) and (8, 7). Which equations represent the situation? y= one-half x 3 and y = one-fourth x 5 y = 3 x one-half and y = 5 x one-fourth y = 2 x 3 and y = 4 x 5 y = 3 x 2 and y = 5 x 4.

Answers

The equations that represent the situation are y = one-half x + 3 and y = one-fourth x + 5.

The first equation y = one-half x + 3 represents the line passing through (0, 3) and (8, 7). It corresponds to the first condition given, where the number is equal to half the second number plus 3.

The second equation y = one-fourth x + 5 represents the line passing through (0, 5) and (8, 7). It corresponds to the second condition given, where the first number is equal to one-quarter of the second number plus 5.

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PP 02. 10
2) Mr. Edwin Lazo paid Php 13,600. 00 for a television serMUT UN UN
P16,000. 0. What is the rate of discount?
4. 15%
B. 16%
C. 18%
D. 20%
that regularly sells at Php 1580. 00 is on sale at 30% off. What is the​

Answers

The rate of discount is 30%. The regular price of the television set is Php 1580, and it is being sold at a discount of 30%.

To find the sale price, we can use the formula:

Sale price = Regular price - (Discount rate × Regular price)

Substituting the given values, we get:

Sale price = 1580 - (0.30 × 1580)

Sale price = 1580 - 474

Sale price = 1106

Therefore, the sale price of the television set is Php 1106. This means that Mr. Edwin Lazo paid Php 13,600.00 for an item that originally cost Php 1580.00 but was on sale at Php 1106.00.

To calculate the rate of discount, we can use the following formula:

Discount rate = (Regular price - Sale price) / Regular price x 100%

Substituting the given values, we get:

Discount rate = (1580 - 1106) / 1580 x 100%

Discount rate = 474 / 1580 x 100%

Discount rate = 0.3 x 100%

Discount rate = 30%

Therefore, the rate of discount is 30%.

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Danielle has a coupon for buy 2 pairs of jeans and receive the third pair of equal or lesser value for free. One pair of jeans costs $45.00, another pair costs $39.50, and the last pair costs $57.00. If Danielle uses her coupon, what is her total cost for all 3 pairs of jeans?

Answers

If Danielle uses her coupon, she will be able to get the third pair of jeans for free, as long as its value is equal to or lesser than the other two pairs. Let's calculate the total cost for all three pairs of jeans.

Pair 1: $45.00, Pair 2: $39.50, Pair 3: $57.00. To determine the total cost, we need to consider the two most expensive pairs, as Danielle will only pay for those. The two most expensive pairs are Pair 1 and Pair 3. Pair 1 costs $45.00 and Pair 3 costs $57.00.Total cost for the two most expensive pairs: $45.00 + $57.00 = $102.00. Since Danielle receives the third pair for free, she does not have to pay anything extra for it. Therefore, her total cost for all three pairs of jeans, after applying the coupon, is $102.00.

It's important to note that the value of the free pair of jeans cannot exceed the value of the two most expensive pairs. In this case, the total cost is determined by the sum of the two most expensive pairs.

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An open cylinder with internal radius r cm has a 2-cm wall and is 9r cm long. Express the volume of material in the wall of the cylinder as a polynomial function in terms of r

Answers

The volume of material in the wall of the open cylinder, expressed as a polynomial function in terms of [tex]\(r\)[/tex], is [tex]\(18\pi - 4\pi r^2\) cm^3[/tex] .

To find the volume of material in the wall of the open cylinder, we need to calculate the difference between the volume of the outer cylinder and the volume of the inner cylinder. The outer cylinder has a radius of [tex]\(r + 2\)[/tex]cm, while the inner cylinder has a radius of [tex]r[/tex] cm. The length of both cylinders is [tex]9r[/tex] cm.

The volume of the outer cylinder can be calculated using the formula: [tex]\(V_{\text{outer}} = \pi \cdot (r + 2)^2 \cdot 9r\) cm^3[/tex].

The volume of the inner cylinder can be calculated using the formula: [tex]\(V_{\text{inner}} = \pi \cdot r^2 \cdot 9r\) cm^3[/tex].

To find the volume of material in the wall, we subtract the volume of the inner cylinder from the volume of the outer cylinder:

[tex]\[V_{\text{wall}} = V_{\text{outer}} - V_{\text{inner}} = \pi \cdot (r + 2)^2 \cdot 9r - \pi \cdot r^2 \cdot 9r= 9\pi r(r + 2)^2 - 9\pi r^3= 9\pi r[(r + 2)^2 - r^2]= 9\pi r[4r + 4].\][/tex]

Simplifying further:

[tex]\[V_{\text{wall}} = 36\pi r^2 + 36\pi r \text{ cm}³ = 36\pi(r^2 + r).\][/tex]

Therefore, the volume of material in the wall of the open cylinder, expressed as a polynomial function in terms of [tex]r[/tex], is [tex]\(18\pi - 4\pi r^2\) cm^3[/tex] .

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write the equation of a line perpendicular to 2x+5y=10 that passes through (10,-3)

Answers

The equation of the line perpendicular to 2x + 5y = 10 that passes through the point (10, -3) is y = (-5/2)x + 22.

To find the equation of a line perpendicular to a given line, we need to determine the slope of the given line and then find the negative reciprocal of that slope.

The given line has the equation: 2x + 5y = 10.

First, let's rewrite the equation in slope-intercept form (y = mx + b), where m represents the slope:

2x + 5y = 10

5y = -2x + 10

y = (-2/5)x + 2/5

From this equation, we can see that the slope of the given line is -2/5.

To find the slope of the line perpendicular to this line, we take the negative reciprocal of -2/5. The negative reciprocal is obtained by flipping the fraction and changing its sign:

Negative reciprocal of -2/5: -(5/2) = -5/2.

So, the slope of the line perpendicular to 2x + 5y = 10 is -5/2.

Now we have the slope (-5/2) and a point (10, -3) that the line needs to pass through. We can use the point-slope form of a linear equation:

y - y1 = m(x - x1),

where (x1, y1) represents the given point and m is the slope.

Using the point (10, -3) and the slope -5/2, we can substitute the values into the equation:

y - (-3) = (-5/2)(x - 10)

y + 3 = (-5/2)(x - 10)

To simplify further, we distribute -5/2:

y + 3 = (-5/2)x + 25

y = (-5/2)x + 22

Therefore, the equation of the line perpendicular to 2x + 5y = 10 that passes through the point (10, -3) is y = (-5/2)x + 22.

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The range of doses for Losartan per day is 70 to 90 milligrams. What would be the corresponding range for doses in micrograms?

Answers

The corresponding range for Losartan doses in micrograms is 70,000 to 90,000 micrograms per day.

To convert the range of Losartan doses from milligrams to micrograms, we need to multiply the milligram values by 1,000.

The lower end of the range, 70 milligrams, can be converted to micrograms by multiplying it by 1,000: 70 mg * 1,000 = 70,000 micrograms.

Similarly, the upper end of the range, 90 milligrams, can be converted to micrograms: 90 mg * 1,000 = 90,000 micrograms.

Therefore, the corresponding range for Losartan doses in micrograms is 70,000 to 90,000 micrograms per day. This means that the dosage range for Losartan can vary from 70,000 micrograms to 90,000 micrograms per day, depending on the specific prescription or treatment plan.

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Chloe wants to buy a hoodie that costs $\$32.75$. She empties her wallet and finds she only has three $\$10$ bills, eight quarters, and a pile of dimes. What is the minimum number of dimes that must be in her pile so she can pay for the hoodie?

Answers

Chloe wants to buy a hoodie that costs $\$32.75$. She empties her wallet and finds she only has three $\$10$ bills, eight quarters, and a pile of dimes. Thus, she needs at least 8 dimes to be able to pay for the hoodie. She needs at least 8 dimes in her pile so she can pay for the hoodie.

We are required to find the minimum number of dimes that must be in her pile so she can pay for the hoodie. Let us start the solution with the conversion of the given $\$10$ bills into dollars.The three $\$10$ bills are worth $\$30$ in total. She needs $\$2.75$ to be able to pay for the hoodie. To avoid having any extra cents left, we should use only quarters and dimes in this purchase. Let d be the number of dimes needed.Then, the number of quarters needed is equal to (275 − 10d)/25. Since the number of quarters is given to be 8, we can use this to form the equation: (275 − 10d)/25 = 8Multiplying both sides of the equation by 25, we have:275 − 10d = 200d = (275 − 200)/10= 7.5She needs at least 7.5 dimes to pay for the hoodie, which is not possible.

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The minimum number of dimes that must be in her pile so she can pay for the hoodie is 297 dimes.

Given that Chloe wants to buy a hoodie that costs 32.75.

She empties her wallet and finds she only has three $10$ bills, eight quarters, and a pile of dimes.

We need to find the minimum number of dimes that must be in her pile so she can pay for the hoodie.

In order to solve this, we first need to convert the given amount into cents.

Since, there are three $10 dollar bills, then the total amount of money Chloe has is:

[tex]$\text{Total money}= 3 \times 10 + 8 \times 25 = 305$[/tex] cents

Chloe needs 3275 cents to pay for the hoodie.

Therefore, the minimum number of dimes that must be in her pile so she can pay for the hoodie is:

[tex]$\frac{3275 - 305}{10} = 2970/10 = \boxed{297}$[/tex] dimes.

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In ΔABC, the measure of ∠C=90°, the measure of ∠A=5°, and BC = 3 feet. Find the length of CA to the nearest tenth of a foot

Answers

I think its about 10.6ft but im not sure

x(a-b)+2=c(x+3)-dsolve the equation for the variable x in terms of a,b,c, and d.

Answers

To solve the equation [tex]\(x(a-b) + 2 = c(x+3) - d\)[/tex] for the variable [tex]\(x\)[/tex] in terms of [tex]\(a\)[/tex], [tex]\(b\)[/tex], [tex]\(c\)[/tex], and [tex]\(d\)[/tex], we can follow these steps:

1. Expand the equation by distributing the terms on both sides:

  [tex]\(xa - xb + 2 = cx + 3c - d\)[/tex]

2. Rearrange the equation by isolating the terms containing [tex]\(x\)[/tex] on one side:

  [tex]\(xa - cx = xb - d - 3c + 2\)[/tex]

3. Factor out [tex]\(x\)[/tex] on the left side of the equation:

  [tex]\(x(a - c) = xb - d - 3c + 2\)[/tex]

4. Divide both sides of the equation by [tex]\((a - c)\)[/tex] to solve for [tex]\(x\)[/tex]:

  [tex]\(x = \frac{{xb - d - 3c + 2}}{{a - c}}\)[/tex]

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The number of miles, m, a car can travel varies directly with the amount of gas, g, in


its fuel tank. If k is the constant of variation, which equation represents that


situation?


A)m = g+


B)m = kg


k


C)m


9


Dm =


9


k

Answers

The equation that represents the situation where the number of miles a car can travel varies directly with the amount of gas in its fuel tank is option B: m = kg.

In a direct variation, the relationship between two variables can be expressed using the equation y = kx, where y represents the dependent variable, x represents the independent variable, and k is the constant of variation. In this case, the number of miles, m, is the dependent variable, and the amount of gas, g, is the independent variable.

The equation m = kg represents the direct variation between m and g, where k is the constant of variation. This means that for every unit increase in g, there will be a corresponding unit increase in m, and the ratio between m and g will remain constant.

Options A, C, and D do not correctly represent the concept of direct variation. Option A is missing the constant of variation, option C uses a constant value of 9 instead of k, and option D has the incorrect placement of variables and constant.

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List all the possible rational solutions of 2x4-x3-3x2-8x+18=0

Answers

In summary, the given polynomial equation, 2x^4 - x^3 - 3x^2 - 8x + 18 = 0, has two rational solutions: x = -3/2 and x = 3/2.

The given polynomial equation, 2x^4 - x^3 - 3x^2 - 8x + 18 = 0, has two possible rational solutions.

To find the rational solutions of the given polynomial equation, we can make use of the Rational Root Theorem. According to the theorem, any rational solution of the equation must be a divisor of the constant term (18) divided by a divisor of the leading coefficient (2).

The divisors of 18 are ±1, ±2, ±3, ±6, ±9, and ±18, while the divisors of 2 are ±1 and ±2.

By applying the theorem, we can test all possible combinations of these divisors to find any rational solutions. After testing these values, we find that x = -3/2 and x = 3/2 are the only rational solutions that satisfy the equation.

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In TUV, the measure of ZV=90°, the measure of ZT=24º, and TU = 7. 1 feet. Find the length of UV to the nearest tenth of a foot. ​

Answers

This equation has no real solutions. It seems there might be an error in the given information or the problem setup. Please double-check the values and conditions provided to ensure accuracy.



To find the length of UV, we can use the Law of Cosines, which states that in a triangle, the square of one side is equal to the sum of the squares of the other two sides minus twice the product of the lengths of those two sides multiplied by the cosine of the included angle.

Let's denote the length of UV as x. According to the given information, we have TU = 7.1 feet and ZT = 24º. ZV is given as 90º, indicating that triangle TUV is a right triangle.

Applying the Law of Cosines, we can write:

x^2 = (7.1)^2 + UV^2 - 2(7.1)(UV)cos(24º)

Since ZV = 90º, the cosine of 90º is 0, so the equation simplifies to:

x^2 = (7.1)^2 + UV^2

Now, we substitute the given values:

x^2 = (7.1)^2 + x^2

Simplifying, we get:

0 = (7.1)^2

This equation has no real solutions. It seems there might be an error in the given information or the problem setup. Please double-check the values and conditions provided to ensure accuracy.

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A 14ft ladder leans against the side of a house the angle of elevation of the ladder is 74 how high is the top of the ladder from the ground round to the nearest tenth

Answers

The top of the ladder is approximately 44.1 feet from the ground.

To find out how high the top of the ladder is from the ground, we need to use trigonometry, specifically the tangent function since we have the angle of elevation and the length of the adjacent side. Here are the steps to solve the problem:

Step 1: Label the diagram and identify the angle of elevation and the adjacent side.

Label the base of the ladder as the adjacent side (a), the height of the ladder as the opposite side (o), and the length of the ladder as the hypotenuse (h).Identify the angle of elevation as the angle between the adjacent side and the hypotenuse.

In this case, the angle of elevation is 74°.

Step 2: Write out the formula and substitute the given values.Tanθ = o/aTan74° = o/a Solve for o: o = a * tan74°

Step 3: Substitute the value of a and use a calculator to find o.

Substitute the value of a, which is 14 feet, and use a calculator to find o. o = 14 * tan74°o ≈ 44.1 feet (rounded to the nearest tenth)Therefore, the top of the ladder is approximately 44.1 feet from the ground.

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use the distributive property to create true equations 8(3+6) brainly

Answers

Here are some true equations that use the distributive property to distribute 8(3+6):

8(3+6) = 8(3) + 8(6) = 24 + 48 = 72

8(3+6) = (83) + (86) = 24 + 48 = 72

8(3+6) = (83) + 68 = 24 + 48 = 72

The distributive property can be used to distribute any number of factors over a sum. In this case, we are distributing the factor 8 over the sum 3+6. We can do this by multiplying each term in the sum by 8 and then adding the products together. This gives us 24 + 48 = 72.

Classify each number according to its value. 4. 2 × 10-6 2. 1 × 10-3 3. 1 × 10-2 3. 2 × 10-5 3. 5 × 10-4 5. 8 × 10-3 5. 2 × 10-4.

Answers

The given numbers can be classified into two categories: small values and very small values (closer to zero). All the given numbers have values that are either small or very small, with some being closer to zero than others based on the number of places the decimal point is moved to the left.

In scientific notation, numbers are expressed as a product of a decimal number between 1 and 10, and a power of 10. The power of 10 indicates the number of places the decimal point is moved to the right (if the exponent is positive) or to the left (if the exponent is negative).

Based on the given numbers:

1. 2 × 10^(-6): This number is very small, as the exponent is negative and indicates that the decimal point is moved 6 places to the left.

2. 1 × 10^(-3): This number is a small value, with the exponent indicating a movement of 3 places to the left.

3. 1 × 10^(-2): Similar to the previous number, this is also a small value, with the exponent indicating a movement of 2 places to the left.

4. 2 × 10^(-5): This number is very small, with the exponent indicating a movement of 5 places to the left.

5. 5 × 10^(-4): This number is a small value, with the exponent indicating a movement of 4 places to the left.

6. 8 × 10^(-3): This number is a small value, with the exponent indicating a movement of 3 places to the left.

7. 2 × 10^(-4): This number is a small value, with the exponent indicating a movement of 4 places to the left.

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Walmart sells 1.5 liters of Lemonade for 75 cents, but K-Mart sells 2.72 liters of Lemonade for $1.40. Which store is the cheaper buy per unit?

Answers

Walmart is the cheaper buy per unit of lemonade.

To determine which store offers a cheaper buy per unit of lemonade, we need to compare the prices per liter.

Walmart sells 1.5 liters of lemonade for 75 cents.

Therefore, the price per liter at Walmart is:

Price per liter at Walmart = 75 cents / 1.5 liters

Price per liter at Walmart = 50 cents / liter

K-Mart sells 2.72 liters of lemonade for $1.40.

Therefore, the price per liter at K-Mart is:

Price per liter at K-Mart = $1.40 / 2.72 liters

Price per liter at K-Mart ≈ 51.47 cents / liter (rounded to two decimal places)

Comparing the prices per liter, we can see that Walmart offers a lower price per liter compared to K-Mart.

Therefore, Walmart is the cheaper buy per unit of lemonade.

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Francis ran miles in of an hour. How many miles can Francis run in one hour?

Answers

If Francis ran 7.5 miles in 1/2 hour, then the distance he covered in one hour will be: m/x = 7.5/(1/2) = 15 miles.  We need the value of x in order to determine the distance he covered in one hour.

Given that Francis ran m miles in x hours.

To find how many miles can Francis run in one hour, we need to calculate how much distance he can cover in one hour.

Since he ran m miles in x hours, we can find how many miles he can run in 1 hour using unitary method as follows:

In x hours, he can run m miles.

Therefore, in 1 hour, he can run m/x miles or we can say that the speed of Francis is m/x miles per hour (mph).

Therefore, Francis can run (m/x) miles in one hour. According to the question, Francis ran miles in of an hour, we don't have the value of x, we cannot determine the exact distance he covered in 1 hour.

For instance, if Francis ran 5 miles in 1/2 hour, then the distance he covered in one hour will be:m/x = 5/(1/2) = 10 miles.

Similarly, if Francis ran 7.5 miles in 1/2 hour, then the distance he covered in one hour will be: m/x = 7.5/(1/2) = 15 miles. Thus, we need the value of x in order to determine the distance he covered in one hour.

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A shirt is on sale for 15 percent off the original price of x dollars. If a customer has a coupon for 5 dollars off the sale price, which of the following represents the price, in dollars, the customer will pay. excluding tax, for the shirt?

Answers

The customer will pay 0.85x - 5 dollars for the shirt. This is calculated by taking 15% off the original price (0.85x) and subtracting the coupon amount of 5 dollars.

To calculate the price the customer will pay for the shirt, we need to consider the original price, the discount percentage, and the coupon.

Let's denote the original price of the shirt as x dollars. The sale price after a 15% discount would be (100% - 15%) of x, which can be expressed as 0.85x dollars.

Next, the customer has a coupon for 5 dollars off the sale price. Therefore, the final price the customer will pay is the sale price minus the coupon amount. It can be expressed as 0.85x dollars - 5 dollars.

So, the price the customer will pay for the shirt, excluding tax, is given by the expression 0.85x - 5 dollars.

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he subjectively determined maximum amount a customer would pay for a product is its ______ price. Multiple choice question. overwhelming exploitative unfair reservation

Answers

The subjectively determined maximum amount a customer would pay for a product is its reservation price. The main answer is reservation.

An individual's reservation price is the highest price they are prepared to pay for a product or service. The maximum amount that an individual is willing to pay for a product or service is referred to as the reservation price, which is determined subjectively based on the individual's perception of the product's or service's worth.

To put it another way, the maximum amount a buyer will pay for an item is determined by his or her perception of the item's worth, which is influenced by the buyer's individual tastes and preferences.For example, if a person is willing to pay $50 for a pizza, that is their reservation price for a pizza. If the price of the pizza is higher than their reservation price, they are likely to leave without making a purchase. A reservation price is influenced by factors such as product quality, perceived benefits, personal income, and budget constraints.

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Determine the period. Acellus

Answers

Answer: 15

Step-by-step explanation:

Period=distance between 2 top points.

15

Mr. Brown is creating examples of systems of equations. He completes the steps to find the solution of the equation below.Based on this work, what is the solution to the system?(-4, -4)(0, 0)no solutioninfinitely many solutions

Answers

The solution to the system of equations is (-4, 4).

The system of equations is: x + y = -8 and x - y = 0
Mr. Brown can find the solution to the system of equations by solving it using the elimination method as follows:
x + y = -8 (Equation 1)
x - y = 0 (Equation 2)
Add Equation 1 and Equation 2.
Doing so will eliminate y from the equations and solve for x.
x + y + x - y = -8 + 0
2x = -8 x = -4
Substitute x = -4 into any of the original equations to solve for y.
Let's use Equation 2: x - y = 0 -4 - y = 0
y = -(-4) y = 4

Therefore, the solution to the system of equations is (-4, 4).

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