a and b are regular octagons. the scale factor of a to b is 2.5:4. if the perimeter of octagon b is 64 inches, find the perimeter of octagon a.

The number of feet in 9 inches is 6.75 feet.

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 minute = 60 seconds

1 hour = 60 minutes

We have,

1 inch = 3/4 feet

Multiply 9 on both sides.

9 inches = 9 x 3/4 feet

9 inches = 27/4 feet

9 inches = 6.75 feet

9 inches = 6(3/4) feet

Thus,

The number of feet in 9 inches is 6.75 feet or 6(3/4) feet.

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The domain of the function f(x) = -3x³ + 2x² - 5 is (-∞, ∞).

What is domain?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it may take as input. After we enter an x value, the function outputs this sequence of values.

The domain of a function is the set of input or argument values for which the function is real and defined

The function has no undefined points nor domain constraints. Therefore, the domain is [tex]$$-\infty < x < \infty$$[/tex].

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a) The mode of the data set is 7

b) The median of the data set is 6

c) The mean of the data set is 5.2

d) The range of the data set is 7.

Given,

Ten numbered data set; 3 & 7 & 2 & 4 & 7 & 5 & 7 & 1 & 8 & 8

We have to find the following;

a) Mode;-

Mode is the number that occurs the highest number of times.

Here,

7 is the most repeating number.

b) Median;-

Finding the middle number requires sorting all the data points and choosing the center one (or if there are two middle numbers, taking the mean of those two numbers).

Here,

5 and 7 are in the middle.

So, Median = 5 + 7 = 12/2 = 6

c) Mean;-

A dataset's mean is calculated by dividing the total number of values by the sum of all the values.

Here,

Mean = 3 + 7 + 2 + 4 + 7 + 5 + 7 + 1 + 8 + 8 / 10 = 52/10 = 5.2

d) Range;-

The difference between a collection of numbers' highest and lowest values is known as the range. Subtract the distribution's lowest number from its greatest number to determine it.

Here,

Lowest number = 1

Highest number = 8

Range = 8 - 1 = 7

Therefore,

a) Mode = 7

b) Median = 6

c) Mean = 5.2

d) Range = 7

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The solution is Option A.

The number of males that are not enrolled in Composition 1 is 35 males

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of males not enrolled in Composition 1 be = A

Now , the equation will be

The number of males enrolled in Composition 1 = 89 males

The number of females not enrolled in Composition 1 = 46 females

The row total of females = 127

So , the equation will be

The number of females enrolled in Composition 1 = row total of females - number of females not enrolled in Composition 1

Substituting the values in the equation , we get

The number of females enrolled in Composition 1 = 127 - 46

The number of females enrolled in Composition 1 = 81 females

Now ,

The total number of males and females enrolled = 170

Let the total number of males and females not enrolled = x

The row total of total males and females enrolled and not enrolled = 251

So , the equation will be

Total number of males and females not enrolled = row total of total males and females enrolled and not enrolled  - total number of males and females enrolled

Substituting the values in the equation , we get

Total number of males and females not enrolled = 251 - 170

Total number of males and females not enrolled = 81

Now ,

The column total of males and females not enrolled = 81

So ,

The total number of males not enrolled = column total of males and females not enrolled - number of females not enrolled in Composition 1

Substituting the values in the equation , we get

The total number of males not enrolled = 81 - 46

The total number of males not enrolled = 35 males

Therefore , the value of A is 35 males

Hence ,

The number of males that are not enrolled in Composition 1 is 35 males

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Answer:

it is A

Step-by-step explanation:

The required percent markup is 87.5%.

Here,
The markup is the difference between the selling price and the cost price, expressed as a percentage of the cost price.

Markup = ((Selling price - Cost price) / Cost price) x 100%

In this case, the cost of materials is $80 and the selling price is $150, so the markup is:

Markup = ((150 - 80) / 80) x 100%

Markup = (70 / 80) x 100%

Markup = 0.875 x 100%

Markup = 87.5%

Therefore, the percent markup is 87.5%.

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Therefore , it will take 1.71 hours to fill the empty cistern if all the pipes are running.

equation: a statement that two expressions having variable- and/or number-filled expressions are equivalent. Since equations are essentially questions, the search for a way to respond to them has spurred the development of mathematics.

Here,

Let's assume that the pipelines in this instance are "a" to drain the water in 6 hours, "b" to fill the water on its own in 4 hours, and "c" to fill the water in 5 hours.

Therefore, if "a" can empty it in 6 hours, it has only completed 1/6 of the task in that time. In 6 hours, "a" would have completed 6/6 or 1 whole, the entire task, and the cistern would have been fully filled, but in 1 hour, it has only accomplished 1/6 of that.

In an hour, "b" has completed barely a quarter of the task.

In that case, "c" has only completed 1/5 of the task in an hour.

Now, assuming it took "x" hours, if "a," "b," and "c" are running, and "a" is draining while b & c filling it up.

The cistern must be filled in "x" hours, thus after 1 hour, all three have completed only 1/x of the task.

well, let's add their rates, to see what we get then.

=> 1/4 + 1/5 -1/6= 1/x

=> 15 + 20 - 10 / 60 = 1/x

=>35/60 =1/x

=> x=60/35

=>1.71 hours

Therefore , it will take 1.71 hours to fill the empty cistern if all the pipes are running.

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The length of x is 30.

The length of y is 30.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

Right triangle.

One angle = 90°

Other two angles = 45°

Hypotenuse = 30

The other two sides are x and y.

Now,

Tan 45 = x/30

1 = x/30

x = 30

Tan 45 = y/30

y = 30

Thus,

30 is the length of x.

30 is the length of y.

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Answer:

13.3

Step-by-step explanation:

7/200=x/380

cross multiply

7(380)=200x

2660=200x

/200  /200

13.3=x

hopes this helps please mark brainliest

Answer:

8

Step-by-step explanation:

Using CPCTC, the angles of [tex]\triangle BGK[/tex] are [tex]41^{\circ}, 45^{\circ}[/tex], and [tex](11y+6)^{\circ}[/tex].

Using the angle sum of a triangle,

[tex]45+41+11y+6=180 \\ \\ 92+11y=180 \\ \\ 11y=88 \\ \\ y=8[/tex]

To achieve our well-being, women are of the utmost importance because they develop many activities and tasks that contribute to this.

In the attached image we can see an example of a mural on the importance of women.

The importance of women is based on elements such as:

¡Hope this helped!

To achieve our well-being, women are of the utmost importance because they develop many activities and tasks that contribute to this.

The importance of women is based on elements such as:

Answer:

I think its D.

Step-by-step explanation:

Step-by-step explanation:

[tex]81-1\frac{1}{5} x\leq 55\\\\[/tex]

[tex]-1\frac{1}{5}x\leq -26[/tex]

[tex]\frac{1}{5}x\geq 26\\[/tex]

[tex]x\geq 130\\[/tex]

Answer:

other phones = 173

iphones = 667

Step-by-step explanation:

x = # of students with other phones

4x - 25 = # of students with iPhones

x + (4x - 25) = 840

5x - 25 = 840

5x = 840 + 25 = 865

x = 865/5 = 173

4(173) - 25 = 667

To solve this problem, we need to use the basic trigonometric identities, which state that for any angle x:

sin^2(x) + cos^2(x) = 1

1 + tan^2(x) = sec^2(x)

1 + cot^2(x) = csc^2(x)

We can use these identities to simplify the expression (sin0 + cos0) = 2 + sec0 csc0/Sec0 CSC0. First, we note that sin0 + cos0 = 1, because sin^2(0) + cos^2(0) = 1. So, the left-hand side of the equation becomes 1 = 2 + sec0 csc0/Sec0 CSC0.

Next, we note that sec0 = 1/cos0 and csc0 = 1/sin0, so we can rewrite the right-hand side of the equation as 1 = 2 + 1/cos0 * 1/sin0 / Sec0 CSC0.

Then, we note that Sec0 = 1/cos0 and CSC0 = 1/sin0, so the right-hand side of the equation becomes 1 = 2 + 1/cos0 * 1/sin0 / 1/cos0 * 1/sin0. This simplifies to 1 = 2 + 1/cos0^2 * 1/sin0^2, which simplifies further to 1 = 2 + 1/cos0^2 / sin0^2.

Finally, we use the identity 1 + cot^2(0) = csc^2(0) to replace 1/sin0^2 with 1 + 1/cos0^2, which gives us 1 = 2 + 1/cos0^2 / (1 + 1/cos0^2). Solving for 1/cos0^2, we get 1/cos0^2 = -1. This means that cos0 = 0, which is not a valid value for the cosine function. Therefore, the original equation has no solution.

Answer:   2.34

Step-by-step explanation:

After the decimal point it goes the tenth then the hundredth place. So that will be the second number after the decimal point. The question gives you a number and asks you to round to the hundredth place so you are going to first look what number is in the hundredth place and then look in the number after it. 3 is the number in the hundredth place and 6 is the number after. The rule is if the number is less than 5 the number stays as is and if the number is greater than 5 you round the number up. Since the number after the 3 is 6 you are going to round up. So the number rounded to the hundredth place is going to be 3.24.    

If the fractional expression (374/x−10) is equivalent to -22​, then the value of [x] is → {x] = -7.

Given is that the fraction → (374/x−10) is equivalent to -22​.

We have -

(374/x - 10) = - 22

374 = - 22(x - 10)

374 = - 22x + 220

374 - 220 = - 22x

154 = - 22x

x = - (154/22)

x = - 7

Therefore, if (374/x−10) is equivalent to -22​, then the value of [x] is -7.

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The equation of a parabola with a directrix at y = −3 and a focus at (5, 3) is y=1/12(x - 5)² .

A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.

Given that the directrix of parabola is at y=-3.

Focus at (5, 3)

parabola with equation  (x - h)² = 4p(y - k)

p = 3 because the distance from the focus to the directrix is 6 and p = 6/2.

The vertex (5, 0)

Substitute h as 5 and k as 0.

(x - 5)² = 4(3)(y - 0)

(x - 5)² = 12y

Divide both sides by 12

y=1/12(x - 5)²

Hence,  the equation of a parabola with a directrix at y = −3 and a focus at (5, 3) is y=1/12(x - 5)² .

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The relationship between angles R and R is: B. m∠M > m∠R.

The size of the angles in a triangle is related to the length of the side they are opposite to. That is, the largest angle is opposite the longest side and vice versa. This is the basis of the relationship of the corresponding angles of two triangles with two equal sides, and a third unequal sides.

In the image given, we see that two corresponding sides of the two triangles are equal to each other, MN = RS, and MP = RT.

Since the side that is opposite to the third angle in triangle MNP is greater than the side that is opposite to the third angle in triangle RST, NP > ST, therefore, it follows that the size of angle M that is opposite to side NP would be greater than the size of angle R that is opposite to side ST.

In conclusion, we can state that the relationship is, B. m∠M > m∠R.

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Answer:

[tex]x=-3, 4[/tex]

Step-by-step explanation:

[tex]x^2-x-12=0 \\ \\ (x-4)(x+3)=0 \\ \\ x=-3, 4[/tex]

Answer:

There is no such function

Step-by-step explanation:

They are all different functions

The range is $53000

The box and whisker plot represents the given parameter

From the plot, we have the following representations:

Least salary = 19,000

Highest salary = 72,000

The range is calculated as

Range = Highest salary - Least salary

Substitute the known values in the above equation, so, we have the following representation

Range = 72000 - 19000

Evaluate

Range = 53000

We have

Total graduates = 120

30 out of 120 is 1/4

This means that

30 graduates = Lower quartile

From the plot, we have

Lower quartile = 25,000

This means that

30 graduates = 25,000

The salary of $33000 is at the median position

This  means that

50% earn above $33,000

25% represents the lower quartile

From the plot, we have

Lower quartile = 25,000

This means that

25% of the graduates earn above $25,000

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The addition equation is 93 - 67 = 26 in the number line.

What is number line?

A number line is an image of numbers plotted on a straight line, either horizontally or vertically. We can compare numbers and execute simple arithmetic operations on them easily by writing the numbers down on a number line. The starting point of a number line is often regarded as zero (0). These numbers to the left of zero are all negative while the numbers just on right of zero are all positive. As a result, we can argue that on a number line, the value of numbers grows as we approach the right. The numbers on the right are therefore larger than the ones on the left, according to this statement.

The entire question is depicted in the picture that is attached.

Richard added 26 to 67 by first marking point 67 on the line, then adding 2 tens and 2 threes until he reached 93 as opposed to subtracting 67 to 93 by subtracting 6 tens and 7 ones starting at point 93, which results in 26.

Take note that 26 is equal to 10 plus 10 plus three additional times.

To verify his work, we add the following: 67 + 26 = 93, which is also written as 93 - 67 = 26.

Hence the addition equation is 93 - 67 = 26.

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Bob divided incorrectly, 42÷6 = 7 is correct.

A division is a process of splitting a specific amount into equal parts.

Given that the Bob has 42 cookies and he wants to give all his cookies away to each of his six friends.

Which means Bob has to split 42 cookies among his 6 friends equally.

He gives each friend the same amount he concludes each friend will receive 42÷6 = 8 cookies.

Bob is incorrect if we split 42 cookies to six friends, then each friend will get 7 cookies not 8 cookies.

Hence, Bob divided incorrectly, 42÷6 = 7 is correct.

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The value of ∠1 is 58 degree. So the option be is correct.

In the given question we have to find the measure of angle 1.

The given options are:

(a) 92 degree

(b) 58 degree

(c) 122 degree

(d) 30 degree

As we know that the triangle have three sides and three angles. The sum of all angles is 180 degree.

From the given question we can see that the

Angle two ∠2 = 92 degree

Angle three ∠3 = 30 degree

So ∠1+∠2+∠3 = 180

Now putting the value

∠1+92+30 = 180

∠1+122 = 180

Subtract 122 on both side, we get

∠1 = 58

Hence, the value of ∠1 is 58 degree. So the option be is correct.

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From the given choices, the vertex of the arrow will be equal to (5, 2.5). Hence, option D is correct.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the equation given in the question,

y = -0.1 x² + x

Substituting the values from the given options,

Firstly, check it from point (5, 5)

5 = -0.1(5)² + 5

5 = -2.5 + 5

5 ≠ 2.5, so it cannot be the answer.

Let's check from (5, 2.5)

Then,

2.5 = -0.1(5)² + 5

2.5 = -2.5 + 5

2.5 = 2.5, this one is correct.

The values obtained in this case are equivalent, or we can say that the horizontal distance the arrow travels is equal to the height of the arrow.

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Answer:

4/5 of a kilometer

Step-by-step explanation:

1 ) Turn 5 3/4 into a mixed number

5 3/5 = 28/5

2 ) Since we are trying to find the distance per day we can divide by 7/1

28/5 ÷ 7/1

3 ) The equals 4/5 which is our final answer!

Hope this helps! :)

Answer:

The sum will be close to 1/4

Step-by-step explanation:

1/8+1/6 is 7/24, and 1/4th of that is 6/24, so it is very close.

Answer: The sum will be close to 1/4

Step-by-step explanation:

You can start by making the fractions have the same denominator, (8*6) which gets you 48

You then want to use the butterfly method, so 1/8 becomes 6/48 and 1/6 becomes 8/48. You then add these up to 14/48.

12/48 is 1/4, and 14/48 is close to 12/48, thus making the answer the first option.

The values of x in the congruent triangles are as follows:

a. x = 16

b. x = 10

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal .

In other words, triangles that have exactly the same size and shape are called congruent triangles.

The triangles are congruent. Therefore, let's find the x in the triangles.

a.

180 - 54 - 67 = 4x - 5

59 = 4x - 5

59 + 5 = 4x

64 = 4x

divide both sides by 4

x = 64 / 4

x = 16

b.

180 - 58 - 74 = 5x - 2

48 = 5x - 2

48 + 2 = 5x

x = 50 / 5

x = 10

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The quartiles of each data set are explained below.

To find the quartiles of a data set, first ordered the data. Thereafter, determine the following:

1. Order the data set, 4, 6, 5, 6, 2, 7, 6, 8:

2, 4, 5, 6, 6, 6, 7, 8

The center of the data is between 6 and 6. Therefore, the middle = (6 + 6)/2 = 6. This means the median or second quartile = 6

Middle value of the first part of the data = (4 + 5)/2 = 4.5.

Middle value of the second part of the data = (6 + 7)/2 = 6.5

First quartile = 4.5

Second quartile = 6

Third quartile = 6.5

The same way we will also find the quartiles of the other given data set as stated below.

2. For 17, 14, 20, 29, 12, 24, 10, 19, we have:

First quartile = 13

Second quartile = 18

Third quartile = 22

3. For 68, 88, 44, 68, 50, 68, 37, 50, we have:

First quartile = 47

Second quartile = 59

Third quartile = 68

4. For 52, 60, 24, 36, 48, 52, 72, we have:

First quartile = 36

Second quartile = 52

Third quartile = 60

5. For 102, 78, 312, 170, 250, 40, 52, 38, 125, we have:

First quartile = 46

Second quartile = 102

Third quartile = 210

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