Find the perimeter of the trapezoid round to the nearest tenth

The Ratios, Rate and unit rate are used to solve many real-world problems.

Let us defined ratios, rates and unit rates and see the real world examples below.

As a ratio is a comparison of two numbers or measurements.

For example, if a store sells 5 black color pens and 7 blue color pens, then the ratio of black to blue pens is 5 to 7.

A rate is also a ratio in which the two terms are in different units.

For example, if 2 galloons of milk costs 8 dollar, then the rate is 2galloons for

8 dollar. And the unit is galloons per dollar.

As Rates are used in our daily life, such as when we work 40 hours per week or take 2 liters of water per day. When rates are expressed as a quantity of 1, such as 2 liters of water per day  that is, per 1 day or 6 miles per hour that is, per 1 hour. So they can be defined as unit rates.

Hope this helps

Answer:

to describe the same relationship between quantities or to compare two quantities. A rate is a special type of ratio that compares quantities with unlike units. A unit rate compares a quantity of something with a single unit of a different quantity.

Based on the information provided, we can prepare a cost of production report for the Roasting Department as follows: (see attached images)

A Cost of Production Report is a document that summarizes the total costs incurred by a company to manufacture a product or provide service during a specific period of time.

The report provides information on the direct materials, direct labor, and factory overhead costs that were involved in producing the item, as well as any other costs associated with the production process.

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The area of the triangle with side lengths 28 and 21 and an angle of 118 degrees is 260 squared unit.

A triangle is simply a two-dimensional polygon with 3 sides and 3 interior angles.

The area of a triangle can be determine using the formula;

A = ( a × b × sin( C ) ) / 2

From the diagram;

Plug the given values into the above formula.

A = ( a × b × sin( C ) ) / 2

A = ( a × m × sin( R ) ) / 2

A = ( 28 × 21 × sin( 118° ) ) / 2

A = ( 588 × sin( 118° ) ) / 2

A = ( 588 × 0.8829 ) / 2

A = 519.17 / 2

A = 260 square unit.

Therefore, the area of the triangle is 260 square unit.

Option D) 260 is the correct answer.

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The area of the figure  to the nearest whole number is 260

The area of a triangle is the region contained by the triangle's sides. The length of the sides and internal angles affect a triangle's area differently from one triangle to the other.

From the given triangle:

The required area of a triangle is:

[tex]A = a*b * \dfrac{sin \gamma}{2}[/tex]

where;

[tex]A = 28*21 * \dfrac{sin \ 118}{2}[/tex]

A = 14 × 21 × sin 118

A = 14 × 21 × 0.8830

A = 259.602

A = 260

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Answer:

Step-by-step explanation: In this situation, mean would be the most appropriate statistic to show the increase in the size of the offensive line of the football team. The mean is a measure of central tendency that takes into account all the values in a set and calculates the average, giving a good representation of the general trend of the data. The mean size of the offensive line can be calculated by adding up the size of all the players and dividing by the number of players. This would give a good idea of the overall increase in the size of the offensive line.

d. The logarithmic model can be expressed as y1~alog(x1)+k or y1~aln(x1)+k.

The best fit curve for the given data would be: y1 = 0.2 * log(x1) + k or y1 = 0.2 * ln(x1) + k

a. If you wanted to find a station with a frequency of 93.3 on your radio dial, you would need to use the formula Frequency = 88 + 0.2 * (Channel Number). Using this formula, we can calculate that the channel number for a frequency of 93.3 is:

Channel Number = (Frequency - 88) / 0.2

Channel Number = (93.3 - 88) / 0.2

Channel Number = 5.3

Therefore, a station with a frequency of 93.3 can be found on channel 5.3 on your radio dial.

b. If you turned the radio dial to be 4 centimeters from the left end of the radio, the channel number would be:

Channel Number = 4 / 0.2

Channel Number = 20

Using the formula Frequency = 88 + 0.2 * (Channel Number), we can calculate that the frequency for channel 20 is:

Frequency = 88 + 0.2 * (Channel Number)

Frequency = 88 + 0.2 * (20)

Frequency = 96.0

Therefore, turning the radio dial to be 4 centimeters from the left end of the radio, you will pick up a station with a frequency of 96.0.

Answer:

12 blue chips 8 red chips.

Step-by-step explanation:

Let's call the number of blue chips "b" and the number of red chips "r". We know that 2 blue chips for every 3 red chips, so we can set up the following equation:

2b = 3r

And we know that there are 20 total chips, so:

b + r = 20

Now we can use substitution to find the value of b. We'll substitute the expression for r from the first equation:

2b = 3(20 - b)

Expanding the right side:

2b = 60 - 3b

Combining like terms:

5b = 60

And finally, solving for b:

b = 12

So there are 12 blue chips and 20 - 12 = 8 red chips.

Answer:

689.85 liters

Step-by-step explanation:

1 gallon =  about 3.78 liters

182.5 gallon = ? liter

We take  

182.5 times 3.78 = 689.85 liters

So, 182.5 gallons is about 689.85 liters

The average daily balance for Pete's credit card last month was a dollars. The finance charge was f dollars. APR algebraically is: 12f/a.

Finance charge = Monthly interest rate · Average daily balance

Monthly interest rate = APR/12

Where:

Finance charge = f

Average daily balance = a

f= Monthly interest rate · a

f = APR/12 · a

f/a  = APR/12

12.f/a = APR

Therefore APR algebraically is: 12f/a.

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The two lengths that Bottom 7%: L= 6.04 cm

Top 7%: L= 6.22 cm

What does "z-score" mean?

The Z-score provides information on how far a given value deviates from the standard deviation. The amount of standard deviations a given data point is above or below the mean is represented by the Z-score, also known as the standard score.

                                       The level of variability within a particular data collection is effectively reflected in the standard deviation.

Mean length of the population (μ) = 6.13 cm

Standard deviation (σ) = 0.06 cm

The z-score for any given length 'X' is

        Z = X - μ/σ

     What we want to know is the length at the 7-th percentile and at the 93-rd percentile.

According to a z-score table, the 7-th percentile has a correspondent z-score of -1.476 and the 93-rd percentile has a z-score of 1.476. Therefore, the bottom 7% and top 7% are separated by the following lengths

      Z(Xb) = Xb - μ/σ

  - 1.476 = Xb - 6.13/0.06

      Xb = 6.04

  z(Xt ) = Xt - μ/σ

   1.476 = Xt - 6.13/0.06

     Xt = 6.22

Bottom 7%: L= 6.04 cm.

Top 7%: L= 6.22 cm.

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On solving the provided question, we can say that  percentage terms is 41.93%

A percentage in mathematics is a figure or ratiο that is stated as a fraction of 100. The abbreviatiοns "pct.," "pct," and "pc" are also occasionally used. It is frequently denοted using the percent symbol "%," though. The amount of percentages has nο dimensions. With a denominator of 100, percentages are basically fractiοns.

To show that a number is a percentage, place a percent symbol (%) next tο it. For instance, if yοu correctly answer 75 out of 100 questions on a test (75/100), yοu receive a 75%. To cοmpute percentages, divide the amount by the tοtal and multiply the result by 100. The percentage is calculated using the fοrmula (value/total) x 100%.

total no. of students = 31

no. of students play sports = 13

percentage terms = 13/31 × 100= 41.93%

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The complete question:

Evaluate the expression. 0.3 = -5 - (-0.4 - -0.6) Write your answer as an integer or a decimal. Do not round.​

Solution:

The value of the expression in a decimal form is, -17.33.

An expression is a sentence with at least two numbers or variables having mathematical operation. Maths operations can be addition, subtraction, multiplication, division.

For example, 2x+3

We have,

0.3x = -5 - (-0.4 - (-0.6))

0.3x = -5 - (-0.4 + 0.6)

0.3x = -5 - 0.2

0.3x = -5.2

x = -5.2/0.3

x = -17.33

Therefore, the value of x is -17.33.

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The 52nd term of the arithmetic sequence -3, 12, 27, ..... is equal to 762.

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ =  a₁ + (n - 1)d

Where:

Next, we would determine the common difference as follows.

Common difference, d = a₂ - a₁

Common difference, d = 12 - (-3)

Common difference, d = 12 + 3

Common difference, d = 15

Substituting the given parameters into the formula, the 52nd term of this arithmetic sequence is given by;

a₅₂ = a₁ + (52 - 1)d

a₅₂ = -3 + (51)(15)

a₅₂ = -3 + 765

a₅₂ = 762.

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Answer:

Step-by-step explanation:

Calculated based on 2 given angles and 1 given side.

∠B = 180° - A - C = 0.99484 rad = 57°

∠B = 57°

a = c·sin(A)/sin(C) = 527.21059

b = c·sin(B)/sin(C) = 811.83311

To answer this question, we need to use some basic trigonometry. We know that Dirk's shadow is as tall as the town hall and that Dirk is 1.40m tall. So, if we can determine the angle of elevation of the spotlight, we can calculate the height of the town hall.

Let's call the angle of elevation "α" and the distance from the spotlight to the town hall "d". To determine α, we can use the tangent function.
tan α = opposite/adjacent = (d-5)/35 = (30/35) = 0.8571

The angle of elevation is arctan(0.8571) = 53.13°.

Now, we can use the sine function to calculate the height of the town hall:
sin α = opposite/hypotenuse = 1.4/d
d = 1.4/sin 53.13° = 16.2m

Therefore, the town hall is 16.2m tall.

Answer:

= (4x^2 + y^2)(2x + y)(2x - y).

Step-by-step explanation:

16x^4 - y^4

= (4x2)^2 - (y^2)^2

= (4x^2 +y^2)(4x^2 - y^2)

=(4x^2 + y^2)( (2x)^2 -y^2)

= (4x^2 + y^2)(2x + y)(2x - y).

Answer:

Step-by-step explanation: [tex]16x^{4} -4y^{4} = (4x^{2} )^{2} -(2y^{2} )^{2}= (4x^{2} + 2y^{2} )(4x^{2} - 2y^{2})[/tex]

identity used =

[tex](a^{2} -b^{2} ) = (a+b)(a-b)[/tex]

The values of the operations between the two functions are, respectively:

In this problem we find the representations of two functions, each on one Cartesian plane: f(r), h(r). Based on that information we can determine the result of operations between functions, which are defined below:

Addition

(f + h)(x) = f(x) + h(x)

Subtraction

(f - h)(x) = f(x) - h(x)

Multiplication  

(f · h)(x) = f(x) · h(x)

Division

(f / h)(x) = f(x) / h(x)

Now we proceed to determine each operation:

(f + h)(5) = f(5) + h(5) = 3 + 4 = 7

(h - f)(2) = h(2) - f(2) = 1 - 1 = 0

(f · h)(3) = f(3) · h(3) = 4 · 0 = 0

(h / f)(0) = h(0) / f(0) = 3 / 5

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1. Area of the figure = 702 square feet.

Perimeter = 114 feet

2. Area of the figure = 20 square inches.

Perimeter = 24 inches.

Area of a rectangle = length * width

Perimeter of a shape = length of all the surrounding of a figure.

1. Area = area of rectangle 1 + area of rectangle 2 = 27 * 24 + 9 * 6

= 702 square feet.

Perimeter = 30 + 27 + 24 + 18 + 6 + 9 = 114 feet

2. Area = area of rectangle 1 + area of rectangle 2 = 7 * 2 + 3 * 2

= 20 square inches.

Perimeter = 7 + 2 + 3 + 3 + 2 + 3 + 2 + 2

= 24 inches.

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Answer:

Step-by-step explanation:

The boundary line of the shaded region in the graph, which is represented by the equation -5x + 2y = -2, can be used to write the inequality that represents the shaded region. To do this, we first need to determine which side of the boundary line the shaded region is on.

If the shaded region is on the same side of the line as the open half-plane that contains the y-axis, then the inequality is given by:

-5x + 2y > -2

If the shaded region is on the same side of the line as the closed half-plane that does not contain the y-axis, then the inequality is given by:

-5x + 2y ≥ -2

So, the inequality that represents the shaded region depends on the specific context and requirements of the problem, as well as the interpretation of the graph.

Answer:

Step-by-step explanation: it it D

(y2-y1)/(x2-x1)

ex:-1-(-3)/-1-(-2)=2

Answer:

4x + y = 2

Step-by-step explanation:

y + 2 = - 4(x - 1) ← distribute parenthesis by - 4

y + 2 = - 4x + 4 ( add 4x to both sides )

4x + y + 2 = 4 ( subtract 2 from both sides )

4x + y = 2 ← in standard form

The coordinates of D' will be at (x, - y) when reflected along the line Y-X.

Mathematical transformations can be used to move two-dimensional figures along a plane or coordinate system.

Dilation, To construct the image, the preimage is scaled up or down.

The image is a preimage that has been turned around or a reflection.

Rotation, To produce the final image, the preimage is rotated about a specified point.

Translation, The picture is relocated a set distance from the preimage while also being translated.

Given, A quadrilateral ABCD and one is the vertex D(x, y).

Now, The reflection of the quadrilateral ABCD is reflected across the Y-X.

We know a reflection along Y-X changes (x, y) to (x, -y).

Therefore, The vertex D' will have coordinates (x, - y).

Q. What are the coordinates of D'when the quadrilateral ABCDis reflected across the line Y - X, Given, preimage D(x, y).

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Answer:

A. 513 cubic units

Step-by-step explanation:

trust me bro.

The standard error of a statistic or an estimate of a parameter is the standard deviation of its sampling distribution.

The standard deviation of the sample distribution is referred to as the standard error in statistics. In most cases, the sample mean of a data set differs from the actual population mean. SE is used to denote it. It is used to gauge how well a sample of a population represents that population. Data, samples and populations, means, medians and modes, dependent and independent variables, standard deviations, variance, and other concepts are all covered in the large field of statistics.

The standard error is one of the mathematical tools used in statistics to estimate variability. It is abbreviated as SE. The standard error of a statistic or an estimate of a parameter is the standard deviation of its sampling distribution. We can define it as an estimate of that standard deviation.

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Answer:

try this

Step-by-step explanation:

Answer:

Rowan collects

3x + 4

Step-by-step explanation:

Maribel collects x sea shells.

Rowan collects 4 more (this is the +4)

than 3 times Maribels (this is the 3x)



Maribel = x

Rowan = 3x + 4

Answer:

its actually 4x + 3

Step-by-step explanation:

The measure of angle TSK is given as follows:

m < TSK = 35º.

On a triangle, the sum of the measures of the internal angles is of 180º.

For triangle TSK, the internal angle measures are given as follows:

Then the measure of angle TSK is obtained as follows:

m < TSK + 22 + 123 = 180

m < TSK = 180 - 145

m < TSK = 35º.

Meaning that the last option is correct.

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Based on the information given, the estimated mean word length of the book is 4.9 letters and the estimated standard deviation of the sampling distribution is 0.15 letters.

The reading specialist is trying to estimate the population mean word length of an elementary school history textbook, but it is not practical or possible to measure the word length of every single word in the book. So, instead, the specialist takes repeated random samples of 100 words from the book and calculates the mean word length of each sample. Based on these repeated samples, the specialist estimates that the mean word length of the book is 4.9 letters. This means that, on average, the words in the book are about 4.9 letters long. The specialist also calculated the standard deviation of the sampling distribution, which is a measure of the variability of the sample means. In this case, the standard deviation of the sampling distribution is estimated to be 0.15 letters. This means that the mean word length of each random sample is expected to vary by about 0.15 letters from the population mean. It is important to note that these estimates are based on a specific set of samples and are subject to sampling variability. If the specialist were to take different random samples, the estimates may be slightly different. However, based on the information given, the estimated mean word length of the book is 4.9 letters and the estimated standard deviation of the sampling distribution is 0.15 letters.

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Answer:

Step-by-step explanation:

Area of a rectangle = length times width.

Area of the garden = 6z(4z + 17)

24z² + 102z