Find the 51st term 1, 7, 13, 19, 25,

The length of the apothem of the pentagon is 12.96 meters .

What is apothem ?
In geometry, the apothem of a polygon is the distance from the center of the polygon to the midpoint of one of its sides. For a regular polygon (a polygon with all sides and angles equal), the apothem is the perpendicular distance from the center of the polygon to one of its sides.

Explanation:
The formula for the area of a regular pentagon is:

A = (1/2)P × a

where A is the area, P is the perimeter, and a is the apothem.

To solve for the apothem, we need to rearrange the formula and solve for a:

a = (2A) / P

The perimeter of a regular pentagon is given by:

P = 5s

where s is the length of each side.

Substituting the given values, we get:

P = 5s = 5(9.7) = 48.5

A = 315.25

a = (2A) / P = (2 × 315.25) / 48.5 = 12.96

Therefore, the length of the apothem of the pentagon is 12.96 meters (rounded to two decimal places).

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Answer:

Step-by-step explanation:

its 13

Answer:1.1.this relation is function because domains are not repeated

Step-by-step explanation:

Answer:

H= -35/4

Decimal form: -8.75

Explanation:

If x denotes the width (in feet) of the billboard, find a function in the variable x giving the area of the printed region of the billboard as a function of x is (150/x - 10)(x - 4).

A billboard designer has decided that a sign should have 5-ft margins at the top and bottom and 2-ft margins on the left and right sides.

x = width of the billboard designer

Total Area including margin = 150 ft^2

Height of the billboard = Area/width

Height of the billboard = 150/x

Before the height of the billboard = (150/x - 5 × 2)

Before the height of the billboard = (150/x - 10) ft

The width of the printed region billboard = (x - 2 × 2)

The width of the printed region billboard = (x - 4) ft

The area of the printed region of the billboard = The width of the printed region billboard × The height of the printed region billboard

The area of the printed region of the billboard = (150/x - 10)(x - 4)

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The complete question is:

A billboard designer has decided that a sign should have 5-ft margins at the top and bottom and 2-ft margins on the left and right sides. Furthermore, the billboard should have a total area of 150 ft^2 (including the margins).

If x denotes the width (in feet) of the billboard, find a function in the variable x giving the area of the printed region of the billboard.

Area as a function of x =

The daily expense for food and lodging will be 337 which is Less than $367 per day.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as;

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

Given; A recent survey by the American Automobile Association showed that a family of two adults and two children on vacation in the United States will pay an average of $247 per day for food and lodging with a standard deviation of $60 per day.

Assuming the data are normally distributed if the family had a z-score of 1.5.

Then the daily expense for food and lodging will be;

z = (x - μ) / σ

1.5 = (x - 247) / 60

90 = x - 247

x = 247 + 90

x = 337

Hence, The daily expense for food and lodging will be 337 which is Less than $367 per day.

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Answer:

40 total students

Step-by-step explanation:

with any ratio, you can look at it like a fraction. 2:3 boys to girls becomes 2/3.

given that there are 24 girls, we can use that number as the denominator of the new fraction, to give us x/24. from here, we need to figure out what number multiplied by 3 (from the original fraction) will give us 24 - we must divide.

24/3 is 8, and so we can back up to the original fraction, 2/3, and multiply the numerator by 8 to give us the numerator for our new fraction.

2•8 is 16, and so our fraction becomes 16/24. add the two numbers together to find the total number of students in the class!

Vertex: (1, -36); intercepts: x = 7, -5 (option D)

Given:

To find:

the vertex and the x-intercepts

i) Vertex is given as (h, k). To determine the vertex, we will apply the formula:

Vertex (h, k): (1, -36)

ii) x-intercept is the value of x when y = 0. To determine x-intercept, we will substitute y with 0. Then solve for x

Point C means that Danny spends $80 on tickets for 5 games. The unit rate can be represented by the point (1, 16) on the graph.

In mathematics, a graph is a collection of coordinates, called vertices or nodes, connected by lines or curves, called edges or arcs. Graphs are a fundamental tool in many areas of mathematics and computer science, and are used to represent relationships and patterns in data, networks, and other complex systems.

Graphs can be classified into various types depending on their characteristics and properties. Some common types of graphs include:

Undirected graphs: graphs where the edges do not have a direction or orientation.

Directed graphs: graphs where the edges have a direction or orientation.

Weighted graphs: graphs where the edges have a numerical weight or value assigned to them.

Bipartite graphs: graphs where the vertices can be divided into two disjoint sets such that no edges connect vertices within the same set.

Tree graphs: graphs that are connected and acyclic, meaning they have no cycles or loops.

Graphs can be represented visually using diagrams or drawings, where vertices are represented as points or circles and edges are represented as lines or curves connecting them. Graphs can also be represented mathematically using matrices or other algebraic structures, and can be analyzed using various graph algorithms and techniques.

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Answer:

hefhxh

Step-by-step explanation:

gfhs

9514 1404 393

Answer:

  7

Step-by-step explanation:

The number of red apples (r) in terms of the number of days (d) is ...

  r = 20 -2d

The number of yellow apples (y) in terms of the number of days (d) is ...

  y = 28 -3d

Using the first equation to write and expression for d, we can substitute into the second equation.

  r -20 = -2d

  (20 -r)/2 = d . . . . from the first equation

Then ...

  y = 28 -3(20 -r)/2 = 28 -30 +3/2r = (3/2)r -2

For 6 red apples left, the number of yellow apples left is ...

  y = (3/2)(6) -2 = 7

7 yellow apples will be left when 6 red apples are left.

Answer:

y = -2x + 9              y =1/9x + 4/9

Step-by-step explanation:

-9/2 = -x -1/2y

-1/2y = x - 9/2

y = -2x + 9

-4 - x = -9y

-9y = -4 - x

y = 1/9x + 4/9

The mean weight of 16 fruit picked at random, then their mean weight will be greater than 414.72 grams 20% of the time

The mean value of a set of data, is the sum of the values in the data, divided by the number of data in the dataset.

The population mean = 408 grams

The population standard deviation = 32 grams

The mean of 16 fruits such that the probability of the mean is larger than the value is 0.2, can be obtained as follows;

The standard error of the mean = The standard deviation/√(Sample size)

Therefore;

The standard error = 32/√(16) = 8

The mean that corresponds to a probability of 0.2, which is the 80th percentile of the normal distribution, can be found using the z-score of the 80th percentile, which is about 0.84

Therefore, we get;

z = (Sample mean - 408)/8 = 0.84

The sample mean = 8 × 0.84 + 408 =  414.72

The sample mean = 414.72 grams

Therefore;

The mean weight of the 16 fruit such that their weight is greater than the mean weight of the population 20% of the time is 414.72 grams.

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Answer:

\( \boxed{ \tt\longrightarrow \: Area \: Of \: Shaded \: region \: =\boxed{ \tt 39 \: in²}}\)

Step-by-step explanation:

Given:

The Dimensions of Parallelogram are 12 in.(Base) and 7 in.(Height)

And,

The Dimensions of Rectangle are 9 in.(Length) and 5 in.(Breadth).

To Find:

The Area of Shaded region

Solution:

When the dimensions of parallelogram and the dimensions of rectangle are given, we need to find the Shaded region using this formula:

\( \boxed{\tt \longrightarrow Area = (Parallelogram - Rectangle)}\)

We know that the formula of Parallelogram is base*height[b×h] and the formula of rectangle is length*breadth[l*b] .

\( \tt\longrightarrow \: Area =B×h-l×b \)

Put their values accordingly:

\(\longrightarrow \tt Area = (12 \times 7 - 9 \times 5)in {}^{2} \)

Simplify it.

[Follow BODMAS Rule strictly while simplifying]

\( \tt\longrightarrow \: Area = (84 - 45 ) in {}^{2} \)

\( \tt\longrightarrow \: Area = 39 \: {in}^{2} \)

Hence, the Area of Shaded region would be 39 in² or 39 sq. in. .

\( \rule{225pt}{2pt}\)

I hope this helps!

Answer:

1/10​b

Step-by-step explanation:

subtract 1/2 and 2/5 and you get then answer just add the b at the end of your answer.

Hope this helps! :)

There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

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Answer:

The probability that 2 or more of the original 5,100 components may fail during the useful life of the product is:

= 0.001

Step-by-step explanation:

Probability of operating without failure = 0.999

The probability of failed component = 0.001 (1 - 0.999)

The number of components of the electronic office product = 5,100

The number of components that may fail, given the above successful operation = 5.1 (0.001 * 5,100).

Therefore, the probability that 2 or more of the original 5,100 components may fail during the useful life of the product = 0.001

Probability of component failure is the likelihood that a component fails during the useful life of the product.  It is expressed as the number of likely failed components divided by the total number of components.  This result can be left in decimal form or expressed as a percentage.

Following are the solution to the given expression:

\(\to \text{p = p (failure)} = 1 -0.999 = 0.001 \\\\\)

We employ the binomial approximation of the normal distribution with mean.

\(\to \mu = np = 5100(0.001) = 5.1 \\\\ \to \text{standard deviation} \ (\sigma) = \sqrt{np(1-P)}\)

                                         \(= \sqrt{5100(0.001)(1-0.001)} \\\\ = \sqrt{5.1 \times (0.999)} \\\\= \sqrt{5.0949 } \\\\= 2.2572\)

It require \(p(x\geq 2)\) but we find \(p(x \geq 1.5)\),  because of \(0.5\) correction.

Here

\(\to z = \frac{X-\mu}{\sigma }\)

       \(=\frac{1.5-5.1}{2.2572} \\\\ =\frac{-3.6}{2.2572} \\\\ = -1.59 \\\\\)

Calculating the required probability:  

\(\to p(z \geq -1.59)\)

\(=1+ p(z< 1.59) \\\\= 1+ 0.9440826\) , by standard normal table  

\(= 1.9440826 \approx 1.944\)

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Answer:

B is the answer

Step-by-step explanation:

(10×2 +1/2)÷(2×4+1/4)

(21/2)÷(9/4)

Then calculate it and the answer is B

B, Mia departed her home ten minutes before Erick did.

D, Erick, and Mia all showed up simultaneously at the park.

E, In the previous ten minutes, Erick and Mia both walked the same distance.

A graph is a graphic that uses the placement of the horizontal (X-axis) and vertical (Y-axis) axes to demonstrate the mathematical relationship between different data sets (Y-axis).

A chart displays data that can be shown as a table, graph, or diagram. It includes a variety of information presentation techniques. Charts are all graphs.

According to the given information

According to the information given in the graph

We got the following true Statements

B, Mia departed her home ten minutes before Erick did.

D, Erick, and Mia all showed up simultaneously at the park.

E, In the previous ten minutes, Erick and Mia both walked the same distance.

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Answer:

6666

Step-by-step explanation:

A statement which best describes the area of Triangle ABC shown above include the following: D. It is one-half the area of a rectangle of length 2 units and width 4 units.

Mathematically, the area of a triangle can be calculated by using this mathematical expression:

Area of a triangle = 1/2 × b × h

Where:

Mathematically, the area of a rectangle can be calculated by using this formula:

Area of a rectangle = LW or bh

Where:

In this context, we can reasonably infer and logically deduce that the area of a triangle ABC is half the of a rectangle i.e A = (bh)/2.

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The computation shows that the examples of values that will give the exact value of 45 will be:

It should be noted the information is incomplete as the options aren't given and not properly written.

In this case, the examples will be given:

An example of value that will give 45 will be:

= ✓25 × ✓81

= 5 × 9

= 45

The other examples will be 6 × 9 which will give 45 and ✓9 × 15 which will be 45.

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Answer:

24 square inches

Step-by-step explanation:

Based on the diagram or figure given, The  area of the figure is known to be 24 square inches.

The area of a figure is known to be the rate or the number of unit squares that is said to have cover the surface of a closed figure.

Note that the area is often measured in square units such as (cm²) and in the case above, the Based on the diagram or figure given, The  area of the figure is known to be 24 square inches.

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The equation of the tangent line at (1,1) is given as follows:

y - 1 = -0.25(x - 1).

The curve for this problem is given as follows:

x² - y² = 2x + y + xy - 4.

Applying implicit differentiation, we obtain the slope of the tangent line, as follows:

2x - 2y(dy/dx) = 2 + (dy/dx) + x(dy/dx) + y

(dy/dx)(1 + x + 2y) = 2x - 2 - y

m = (2x - 2 - y)/(1 + x + 2y).

At x = 1 and y = 1, the slope is given as follows:

m = (2 - 2 - 1)/(1 + 1 + 2)

m = -0.25.

Hence the point-slope equation is given as follows:

y - 1 = -0.25(x - 1).

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The total cost of the metal which will be used to construct the metal tank would be = $82.5

To calculate the area of the metal tank, the formula for the area of the cylinder is used which would be;

= 2πr (h+r)

Where

R = 12/2 = 6 ft

h = 4ft

π = 3.14

area = 2×3.14×6(4+6)

= 37.68×10

= 3.75 ft²

But 1ft² = $22

3.75ft² = X

make X the subject of formula;

X = 22× 3.75 = $82.5

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The correct radical form of b^1/5 is 5^√b.

Square root and nth roots are represented by the symbol "radical," which. a square root is a component of a radical expression, which is an expression.

A number's or an algebraic expression's simplest radical form is referred to as this. When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.

When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.

Explanation:

Convert to radical form using the formula

a^x/n=n^√a^x

5^√b.

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Answer:

2 ÷ 1/2 is 4

Step-by-step explanation:

Answer:

point A

Step-by-step explanation:

Answer:c

Step-by-step explanation:

Answer:

kpealeakara

Mon. Nov. 16 2020

ss1

8

Answer:

8 is your answer am right or wrong

Answer:

a = 1/4

b = -2

c = -5

Step-by-step explanation:

The given points (-2, 0) and (10, 0) are the x-intercepts, which means the x roots of the quadratic function are:  x = 2, -10

Use the point (12, 7) to find the constant C:

f(x) = C(x + 2)(x - 10)

f(12) =7 = C(12 + 2)(12 - 10)

C(14)(2) = 7

C = 7/28 = 1/4   plug this value of C into the equation and put it into standard form:

f(x) = 1/4(x + 2)(x - 10)

f(x) = 1/4(x² - 8x - 20)

f(x) = 1/4x² - 2x - 5

Now you have your a, b, and c values:

a = 1/4

b = -2

c = -5