3. A regular pentagon is shown. What is tho area of the pentagen?

Measure of ∠K in triangle KLM by open mouth theorem is ∠K < 90°.

The open mouth theorem states that if two sides of a triangle are congruent with two sides of another triangle, and the included angle of the first triangle is greater than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle.  

Given,

two triangles KLM and NOP

KL≅NO and KM≅NP

LM = 7, OP = 9

LM < OP

By open mouth theorem

m∠K < m∠N

m∠N = 90°

m∠K < 90°

Hence, m∠K < 90° is the value of angle K, in triangle KLM

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We can write the equivalent value of the matrix {A - 2B} as -

[9    2]

[2    6]

[3   -10]

In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

Given are the matrices as given in the equation.

We can write the elements for {A - 2B} as -

A{ 1 } = 3 + 6 = 9

A{ 2 } = 4 - 2 = 2

A{ 3 } = 6 - 4 = 2

A{ 4 } = - 2 + 8 = 6

A{ 5 } = 1 + 2 = 3

A{ 6 } = - 10

So, we can write the matrix as -

A - 2B =

[9    2]

[2    6]

[3   -10]

Therefore, we can write the equivalent value of the matrix {A - 2B} as -

[9    2]

[2    6]

[3   -10]

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Answer:

1.8

Step-by-step explanation:

6 is 10% of 60, which means 3% of 60 is 1.8.

Answer: no

Step-by-step explanation: an integer is a number that is not a fraction or a decimal

Answer:

nope

Step-by-step explanation:

it's a decimal, so by definition, it's not an integer.

Answer: Lily

Step-by-step explanation:

3/4 is larger than 2/6

Answer: Lily

Step-by-step explanation: 3/4 > 2/6

3/4 = 0.75

2/6= 0.33

compare the two decimal places, 0.75 > 0.33

The diameter and height in the picture are 2/5D and 2/5H, respectively

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

Container = 2/5 smaller than in reality

This means that

Scale factor = 2/5

So, we have

Diameter = 2/5D where D = diameter in reality

Also, we have

Height = 2/5H where H = height in reality

Hence, the height in picture is 2/5H

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Answer:

Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

Answer:

it's C

All the graphs except C crosses the x axis at the roots but C doesn't

We can write the function f(x) = (- x³ - 2) at {x} = 5 as -

f(5) = - 127.

An expression is a term made up of both constants and variables.

Given is the function as -

f(x) = - x³ - 2

We can write f(5) as -

f(5) = - (5)³ - 2

f(5) = - 125 - 2

f(5) = - 127

Therefore, we can write the function f(x) = (- x³ - 2) at {x} = 5 as -

f(5) = - 127.

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Answer:

lansing Michigan has more rain

Step-by-step explanation:

The garden must be at least 17 feet wide.

Let's use w to represent the garden's breadth.

The perimeter of a rectangle is given by the formula P = 2L + 2W, where L is the length and W is the width.

Assuming that the length is 11 feet, the expression for the perimeter can be written as follows:

P = 2(11) + 2w = 22 + 2w

The perimeter is stated to be at least 56 feet and not to exceed 76 feet. Hence, we can create the inequality shown below:

56 ≤ 22 + 2w ≤ 76

When we take 22 out of every aspect of the inequality, we get:

34 ≤ 2w ≤ 54

By multiplying every aspect of the inequality by 2, we obtain:

17 ≤ w ≤ 27

Thus, the garden must be at least 17 feet wide.

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Step-by-step explanation:

328×5×3÷100

100÷5=20

20÷2=10

328÷2=164

Answer: 135x

Step-by-step explanation: I did this and got it right

Answer:

The answer is 135

Step-by-step explanation:

Always use PEMDAS when solving so this id what you do

P (parenthesis): 12-2 = 10

E (exponent): [tex]3^{3}[/tex] = 3x3x3 = 27

M (multiply): 10x27= 270

D (divide): 270 divided by 2 = 135

*There is no addition and subtraction in the equation so you dont have to use them*

I hope this helped you!!

Answer:

The percentage increase is  21.4% increase

Given Data

Initial temperature =  12 1/4°F = 49/4 = 12.25°F

Final Temperature =  15 3/5°F = 78/5 = 15.6°F

We know that the expression for percentage increase is given as

Percent Increase = Increase/Final *100

Percent Increase = 15.6-12.25/15.6 *100

Percent Increase = 3.35/15.6 *100

Percent Increase = 0.214 *100

Percent Increase = 21.4%

Hence there is a 21.4% increase

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Answer:

Answer on pic

Step-by-step explanation:

#CarryOnLearning

The standard deviation for the dataset is 28.89.

What is the standard deviation?

When we measure diversity in a data set, it is called standard deviation. We have to calculate the variance first. The square root of variance gives the standard deviation. The formula to calculate standard deviation is:

s= [tex]\sqrt{\frac{(x1-xm)^{2} + (x2-xm)^{2} +........+ (xn-xm)^{2} }{n-1} }[/tex]

First, we will calculate the mean of the data, xm

[tex]xm=\frac{18+22+39+48+77+89}{6}[/tex]

      [tex]=48.83[/tex]

Then, we will calculate the following:

[tex](x1-xm)^{2}=(18-48.83)^{2} \\\\(x2-xm)^{2}=(22-48.83)^{2} \\\\(x3-xm)^{2}=(39-48.83)^{2} \\\\(x4-xm)^{2}=(48-48.83)^{2} \\\\(x5-xm)^{2}=(77-48.83)^{2} \\\\(x6-xm)^{2}=(89-48.83)^{2} \\[/tex]

The summation comes out to be 4174.83.

Therefore, the standard deviation becomes = [tex]\sqrt{\frac{4174.83}{5} }[/tex]

                                                                           =28.89

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Answer:

Step-by-step explanation:

We need to find the least common multiple (LCM) of 3 and 4, which will give us the number of days after which both Julio and Larry will wear a blue shirt on the same day again.

The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...

The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, ...

We can see that the least common multiple of 3 and 4 is 12, because it is the smallest number that appears in both lists.

This means that Julio and Larry will wear a blue shirt on the same day every 12 days.

Since they both wore blue shirts on April 12, the next date that they will both wear a blue shirt is 12 days later, on April 24.

Answer:

To find the next date that they will both wear a blue shirt, we need to find the least common multiple (LCM) of 3 and 4, which is 12.

So, Julio will wear a blue shirt on April 12, 15, 18, 21, and so on.

Larry will wear a blue shirt on April 12, 16, 20, 24, and so on.

The next date they will both wear a blue shirt is when their dates coincide, which is April 24.

Therefore, Julio and Larry will both wear a blue shirt again on April 24.

Step-by-step explanation:

The probability that a randomly selected driver in the 20-24 age bracket will be in a car crash during the next year is 0.86%.

It is unlikely for a driver in that age bracket to be involved in a car crash during a year

The resulting probability of 0.0086 is relatively low.

The approximate probability can be calculated by dividing the number of drivers who were in a car crash in the last year by the total number of drivers in the 20-24 age bracket:

Probability = Number of drivers in a car crash / Total number of drivers in the age bracket

Probability = 3/350

Probability ≈ 0.0086

Part 2

Since the probability is less than 0.05, it is unlikely for a driver in that age bracket to be involved in a car crash during a year.

Part 3

While any car accident can be a concern, the resulting probability of 0.0086 is relatively low.

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Answer:

d

Step-by-step explanation:

As you can tell by the graphs the relative minimum is -14 since that is where the curve ends and -3 is the maximum due to the top curve being at -3

Answer:

d)  relative minimum = −14, relative maximum = −3

Step-by-step explanation:

The relative minimum and maximum values are the minimum and maximum y-values of the points in the domain of the function.

From inspection of the given graph, the minimum y-value in the interval [1, 5] is -14 and the maximum y-value in the interval [1, 5] is -3.

Therefore:

Therefore , the solution of the given problem of percentage comes out to be 11.31% of the vehicles in use are between 21 and 32 months old.

In statistics, a percentage is a figure or a figure that is expressed as a fraction of 100. Furthermore, "pct.," "pct," as well as "pc," are rarely used. However, it is commonly denoted by the "%" sign. There are no dimensions; the percentage total is flat. Percentages are essentially numbers because their numerator is 100. To indicate that a number is a percentage, the percent sign (%) or the phrase "percent" must appear before the number.

Here,

This rule states that for a normal distribution, which is presumed here because of the bell-shaped curve:

The data is within yet another standard deviation of the median for 68% of the time.

The data is within 2 standard deviations of the median for 95% of the time.

The data is now within three standard deviations of the mean in 99.7% of the cases.

As a result, z1 = (21 - 54) / 11 = 3 and z2 = (32 - 54) / 11 = 2

The numbers -3 and -2 represent the number of standard deviations that each figure is from the mean.

determine what percentage of the data lies in between two values:

P(-3 ≤ Z ≤ -2) = 0.1359 - 0.0228 = 0.1131

According to this, 11.31% of the vehicles in use are between 21 and 32 months old.

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Answer:

212.5ft^2

Step-by-step explanation:

First, go ahead and find the area of the total square. To do this, multiply the length by the height (15*15) to get 225. This is not our final answer, but it will help us solve the problem later.

Next, we need to find the area of the lower-left triangle that is cut off. To do this, we will find the side lengths of just that section. Because the left side of the square and the right side are the same total length, we can just subtract 10 from 15 to get a length of 5.

Now, to find the area of the triangle we will use b*h/2:

5*5/2=12.5

All that's left is to subtract this area from the initial area (225) to get our final answer of 212.5ft^2.

Answer:

Expanding the expression, we have:

-4.8y - 2(6.35y + 4.65)

= -4.8y - 12.7y - 9.3 (distributing the -2)

= -17.5y - 9.3

Step-by-step explanation:

We can conclude that the set of points {(−9,0),(−4,5),(0,9),(4,5),(9,0)} does not represent a function.

In mathematics, a function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. In other words, a function is a rule that assigns a unique output value to each input value. Functions are commonly denoted using functional notation, where the function name is followed by its input, such as f(x) or g(t).

To determine if the set of points {(−9,0),(−4,5),(0,9),(4,5),(9,0)} represents a function, we need to check if for every x-coordinate there is only one corresponding y-coordinate.

We can start by graphing the set of points:

From the graph, we can see that for x = -4 and x = 4, there are two different y-coordinates, which means that the set of points does not represent a function.

Therefore, we can conclude that the set of points {(−9,0),(−4,5),(0,9),(4,5),(9,0)} does not represent a function.

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The number of polygons that can be formed are

Points (0, 1) and (2, 3)

The set of points (0, 1) and (2, 3) cannot form a polygon as they are collinear (i.e., lie on the same straight line) and do not enclose an area.

Points  (4, 5), (6, 7), and (8, 9)

These are three different points.

Because a triangle has three sides, one triangle can be formed by the set of points (4,5), (6,7), and (8,9). i.e. One polygon

Points (3, 5) and the x-axis.

One polygon can be formed by the set of points (3,5) and the x-axis: a triangle with vertices at (3,5), (0,0), and (6,0).

Polygon (4)

This is a rectangle with the dimension:

6 units by 5 units

So, we have

Perimeter = 2 * (6 + 5) = 22 units

Area = 6 * 5 = 30 squared units

Polygon (5)

This is a composite figure with the following dimensions:

Square of 4 units

Rectangle: 6 units by 2 units

So, we have

Perimeter = 4 * 4 + 2 * (6 + 2) = 32 units

Area = 4 * 4 + 6 * 2 = 28 squared units

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Answer:198

Step-by-step explanation:

15+15+15+!5

f(6)=72

Explanation:

to evaluate f(6) substitute x = 6 into f(x)

f(6)=2/3×(6x6x6x6x6x6)+(8×6)

=2/3×36+48

24+48=72

72 is your answer

The number of cups or juice in this container hole if 1 cup=14.44in³ is 23.49 cups.

Volume refers to the unit of a three-dimensional measure of space that comprises a length, a width and a height. It is measured in units of cubic centimeters in metric, cubic inches or cubic feet.

Volume of a cylinder = πr²h

Where,

π = 3.14

r = diameter/2

= 6 in/2

= 3 in

h = 12 in

So,

Volume of a cylinder = πr²h

= 3.14 × 3² × 12

= 339.12 cubic inches

Recall,

Hint: 1 cup=14.44in³

Therefore,

No of cups in the container hole = 339.12 cubic inches/ 14.4 cubic inches

= 23.49 cups

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Answer:

False.

Step-by-step explanation:

The equation f(x) = [tex]-x^4[/tex] + 3 has a maximum interval of (0, 3).

First simplify the equation:

f(x) = [tex]-4x^3[/tex]

Then find the intervals:

Increasing -∞<x<0, Decreasing 0>x>∞

Plug x = 0 into [tex]-x^4[/tex]+3: 3

Therefore the maximum interval of [tex]f(x) = -x^4 + 3[/tex] is (0, 3)

The value of 29% of the number 10 will be 2.9.

The part of any product is given as though it was a ratio of a hundred. The ratio can be represented as a quarter of 100. The phrase % decrypts to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

The value of 29% of 10 is calculated as,

⇒ 29% of 10

⇒ 0.29 x 10

⇒ 2.9

The value of 29% of the number 10 will be 2.9.

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Answer:

Seven dozen eggs would equal a total of 84 eggs

Step-by-step explanation:

Answer:

84 eggs

Step-by-step explanation:

1 dozen of eggs = 12 eggs

Then :

1 dozen -------- 12 eggs

7 dozen -------   x eggs

x = (7 x 12) / 1 = 84 eggs