What is the angle of rotation for rotational symmetry of a regular pentagon? A) 36° B) 60° C) 72° D) 90°

Answer:

There are 13,782.47 feet in 4.2 kilometers ⇒ answer A

Step-by-step explanation:

- Cilia cycles 4.2 km every morning

- We need to convert the kilometers to feet

- 1 mile = 1.609 kilometers

- 1 mile = 5,280 feet

* Lets do that

∵ 1 mile = 1.609 km

∵ 1 mile = 5,280 feet

- Equate them

∴ 1.609 km = 5, 280 miles

* Now we can use the cross multiplication to find how many feet in

 4.2 kilometers

→    km       :    feet

→   1.609    :    5,280

→   4.2        :    x

- By using cross multiplication

∴ 1.609 x = 4.2 × 5,280

- Multiply 4.2 by 5,280

∴ 1.609 x = 22176

- Divide both sides by 1.609

∴ x = 13782.47

∵ x represents the number of feet in 4.2 kilometers

∴ There are 13,782.47 feet in 4.2 kilometers

Answer:

yeah eggs dee

Step-by-step explanation:

the genius up top is right

Step-by-step explanation:

x = angle 1

3x + 12 = angle 2

angle 1 + angle 2 = 180

4x + 12 = 180

4x = 168

x = 42 = angle 1

180 - 42 = 138 = angle 2

X= the smaller smaller angle

180° = X + 3X + 12

180° - 12° = 4X

168° = 4X

X = 168 ÷ 4

X = 42°

The bigger angle is 3X + 12

= 3 × 42 + 12

= 126 + 12 = 138°

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Answer:140.07

Step-by-step explanation:

Answer:

$149.80

Step-by-step explanation:

To find sales tax you need to multiply the original cost of the item by the sales tax (converted into a decimal). In this case the sales tax converted would be 0.07. Now multiply that decimal by the original cost:

140 x 0.07 = 9.80

9.80 is how much you would be paying in sales tax. Now take this amount and add it to the original amount to get the total cost.

140 + 9.80 = 149.80

Answer:

Hello my friend! The answer is in the picture below

Step-by-step explanation:

To rewrite the formula for diameter (d) in terms of the area (A) of the circle, you can use the following sequence:

1. A = [tex]pi * (d/2)^2[/tex]

2. [tex]d^2[/tex] = (2A)/pi

3. d = [tex]sqrt((2A)/pi)[/tex]

The question requires arranging the given equations to express the diameter of the circle in terms of its area. Let's proceed step by step:

Start with the formula for the area of a circle: A = pi * r^2, where 'r' is the radius of the circle.

Recall the relationship between diameter and radius: d = 2 * r.

Substitute radius 'r' with diameter 'd' in the area formula: This results in A = [tex]pi * (d/2)^2[/tex].

Solve this equation for diameter 'd': You'll get d = [tex]sqrt((4 * A)/pi)[/tex].

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Linear equation which represents the hours Yuson has left after x days is:

30-2x

Yuson must complete 30 hours of community service.

She does 2 hours each day.

i.e. in x days, hours of service done= 2x

After x days hours of service left= 30-2x

Hence, linear equation which represents the hours Yuson has left after x days is:

30-2x

The linear equation representing the hours Yuson has left after x days is y = 30 - 2x, where y is the remaining hours and x is the number of days.

The linear equation that represents the hours Yuson has left after x days is y = 30 - 2x.

This is because Yuson must complete 30 hours of community service, and she does 2 hours each day. The equation y = 30 - 2x represents the remaining hours (y) after x days.

For example, if it's the first day (x = 1), Yuson would have 30 - 2(1) = 28 hours left. If it's the second day (x = 2), Yuson would have 30 - 2(2) = 26 hours left, and so on.

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Answer:a function of the coefficients of a polynomial equation whose value gives information about the roots of the polynomial.

Step-by-step explanation:

[tex]\bf \qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ \stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{-4}x\stackrel{\stackrel{c}{\downarrow }}{-7} ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one real solution}\\ \underline{positive}&\textit{two real solutions}~~\textit{\Large \checkmark}\\ negative&\textit{no solution} \end{cases} \\\\\\ (-4)^2-4(1)(-7)\implies 16+28\implies 44[/tex]

Good evening ,

_______

Answer:

-8 ≤ 3(x-4) ≤ 10

____________________

Step-by-step explanation:

—Let’s solve it—

-8 ≤ 3(x-4) ≤ 10

⇔ -8 ≤ 3x-12 ≤ 10

⇔12-8 ≤ 3x ≤ 10+12

⇔4 ≤ 3x ≤ 22

⇔4/3 ≤ x ≤ 22/3.

:)

The larger number from the two numbers which has a difference of 841 and where the smaller number is 471, is calculated to be 1312

The question tells us that the difference of two numbers is 841 and the smaller number is 471. We can express this situation using a simple equation: x - 471 = 841, where x is the larger number that we're trying to find. If we add 471 to both sides of the equation to isolate x, the equation becomes x = 841 + 471, which gives us x = 1312. So, the larger number is 1312

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The question asked to solve for a number when given the difference between that number and another number is 841, and the one number is 471. By switching the subtraction problem into an addition one, we add 841 to 471 to get the larger number, which is 1312.

Explanation:

The student is asking to find a second number when the difference of it and another number is known. The information given is that the difference between two numbers is 841, and the smaller number is 471.

The question can be solved using simple subtraction in reverse, also called addition. You see, when we know the difference between two numbers and one of the numbers, we can find the other number by adding the difference to the known number, if the known number is smaller, which is the case here.

To find the missing number we simply add the difference (841) to the smaller number (471). It will look like this: 471 + 841 = 1312.

Therefore, the larger number in this pair of numbers is 1312.

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Answer: 37.5 % is the correct answer

Answer:

37,5%

Step-by-step explanation:

Divide 3 by 8.

3 / 8 = 0,375

Then multiply by 100 to know the percentage.

0,375 x 100% = 37,5%

5x-7

x would be the unknown number. for example if it were 3 you would multiply 3 and 5 to get 15 then minus 7 to get 8.

Answer:

That is true.

Step-by-step explanation:

A supplementary angle equals 180 degrees and and a right angle is 90, so 90+90=180

Answer:

52

Step-by-step explanation:

Complementary angles are two angles that add up to equal 90 degrees

90-38= 52

Therefore the complementary angle or "complement" of 38 is 52 degrees

Answer:

52⁰

Step-by-step explanation:

Complement of angke = 90 - angle

Complement = 90 - 38 = 52⁰

Answer:

186

Step-by-step explanation:

[tex]2x+10(312)+58(5)=3782[/tex]

[tex]2x+3410=3782[/tex]

[tex]2x=372[/tex]

[tex]x=186[/tex]

Answer:

Step-by-step explanation:

Looking at the values for [tex]y[/tex], you can see that each value is twice the previous value, which means that the missing value will be twice the previous value, which was 40, so the answer is 80.

When x = 4, the missing value is y = 80. therefore, option 80 is correct.

The table represents an exponential function, which can be expressed in the form y = ab^x, where "a" is the initial value (when x = 0), and "b" is the common ratio or base.

From the table, when x = 0, y = 5. This gives us the value of "a," which is 5.

Now, we can use this information to find the missing value when x = 4.

y = ab^x

y = 5 * b^4

To find "b," we can use another data point from the table, for example, when x = 1, y = 10:

10 = 5 * b^1

Now, solve for "b":

10 = 5b

Divide both sides by 5:

b = 10 / 5

b = 2

Now that we know the value of "b" is 2, we can find the missing value when x = 4:

y = 5 * 2^4

y = 5 * 16

y = 80

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Answer:

A

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y )

Under a rotation about the origin of 90°

a point (x, y ) → (- y, x )

Under a reflection in the y- axis

a point (x, y ) → (- x, y )

Under a rotation of 180°

a point (x, y ) → (- x. - y )

Here A(3, - 5 ) → A'(3, 5 ) → A

Answer:

Part a) [tex]\frac{132}{89}[/tex]

Part b) 132:89 vs 132 to 89

Part c) [tex]\frac{66}{7}[/tex]

Part d) 66:7 vs 66 to 7

Step-by-step explanation:

Let

x ----> the number of boys

y ----> the number girls

z ----> the number of adults

we have

x=132, y=89, z=14

Part a) Write the ratio of the number of boys to the number of girls.

To find the ratio of the number of boys to the number of girls, divide the number of boys by the number of girls

so

[tex]\frac{x}{y}[/tex]

substitute

[tex]\frac{132}{89}[/tex]

Part b) Write the same ratio using another form (A: B vs. A to B)

we have

[tex]\frac{132}{89}[/tex]

The other form is

132:89 vs 132 to 89

Part c) Write the ratio of the number of boys to the number of adults

To find the ratio of the number of boys to the number of adults, divide the number of boys by the number of adults

so

[tex]\frac{x}{z}[/tex]

substitute

[tex]\frac{132}{14}[/tex]

Simplify

[tex]\frac{66}{7}[/tex]

Part d) Write the same ratio using another form

The other form is

66:7 vs 66 to 7

Answer:

A

Step-by-step explanation:

9*2=18

18/2=9

18 divided by 2 equals 9 because A. 2 times 9 equals 18.

Here, we have,

given that,

18 divided by 2 equals 9

now, we have to find why it is 9.

now, we know that,

9*2=18

i.e. 2 times 9 = 18

so, we get,

9*2=18

=> 18/2=9

Hence, 18 divided by 2 equals 9 because A. 2 times 9 equals 18.

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Based on the graph, the input value for which f(x) = 3​ is -3.

In Euclidean Geometry, a function is a mathematical expression which is used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable to an output variable.

By critically observing the graph shown above, we can logically deduce that an input value that produces an output value of 3 is -3 as made evident by this ordered pair (3, -3);

f(-3) = 3

Based on the graph, the input value for which f(x) = 3​ is -3.

What is a function?

In Euclidean Geometry, a function is a mathematical expression which is used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable to an output variable.

By critically observing the graph shown above, we can logically deduce that an input value that produces an output value of 3 is -3 as made evident by this ordered pair (3, -3);

f(-3) = 3

Answer:

obtuse, scalene

Step-by-step explanation:

1 obtuse angle makes the triangle obtuse all sides are different so it would be a scalene triangle

Answer:

C

Step-by-step explanation

The statement that proves that triangle XYZ is an isosceles triangle is XZ = XY =5

isosceles triangles are triangles that have two equal sides

The coordinates are given as:

X = (1, 3)

Y = (4, -1)

Z = (5, 6)

Calculate the distances between the points using:

[tex]d =\sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]

So, we have:

[tex]XY =\sqrt{(1 -4)^2 + (3 --1)^2}[/tex]

[tex]XY =5[/tex]

[tex]XZ =\sqrt{(1- 5)^2 + (3 -6)^2}[/tex]

[tex]XZ =5[/tex]

From the above computation, we have:

[tex]XY = XZ =5[/tex]

Hence, the statement that proves that triangle XYZ is an isosceles triangle is XZ = XY =5

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Answer:

The value of 4 is an input of the function

Step-by-step explanation:

Let

x -----> the independent variable or input value

y ----> the dependent variable or output value

we know that

Looking at the graph

The domain (input values) of the linear function is equal to the interval

[1,∞)

[tex]x\geq 1[/tex]

All real numbers greater than or equal to 1

The range (output values) of the linear function is equal to the interval

(-∞,3]

[tex]y\leq 3[/tex]

All real numbers less than or equal to 3

therefore

The value of 4 is an input of the function

The value is an input of the function? 4

The graph represents a functional relationship. On a coordinate plane, a straight line with a negative slope begins at point (1, 3), crosses the x-axis at (4, 0), and exits the plane at (18, negative 14). Which value is an input of the function?

A functional relation definition is a binary relation R⊂A×B between sets A and B, such as (a,b)∈R and (a,c)∈R imply b=c.

By determining whether a relation is a function involves making sure that for every input there is only one output. In order for a relation that called function, each X value must have one Y value whereas X has to have one Y value. X is the independent variable or input value, whereas Y is the dependent variable or output value

According to the graph attached, the linear function domain is equal to the interval [1,∞). All real numbers according to the graph is greater than or equal to 1. Whereas the linear function range is equal to the interval (-∞,3]. All real numbers less than or equal to 3, the value of 4 is an input of the function

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Answer:

y=3x-1 is your answer and now I have to add stuff

Answer:

x = 8.2

Step-by-step explanation:

Given

6.7x = 5.2x + 12.3 ( subtract 5.2x from both sides )

1.5x = 12.3 ( divide both sides by 1.5 )

x = 8.2

Answer:

8.2

Step-by-step explanation:

you can solve it by changing it to standard form

Thus, 67×10^-1x =52×10^-1x +123×10^-1

group like terms.

67×10^-1x -52×10^-1x =123×10^-1

15×10^-1x =123×10^-1

divide through by 15 ×10^-1

X= 123×10^-1/15×10^-1

X=41/5

X=8.2

To solve the equation 7 - 4x = -12 - 3x, combine like terms and isolate x on one side of the equation. The solution is x = 19.

To solve the equation 7 - 4x = -12 - 3x, we need to isolate the variable x on one side of the equation. First, we can combine like terms by subtracting 7 from both sides:

7 - 4x - 7 = -12 - 3x - 7

-4x = -19 - 3x

Next, we can simplify the equation by adding 3x to both sides:

-4x + 3x = -19 - 3x + 3x

-x = -19

Finally, we can solve for x by multiplying both sides by -1:

x = 19

Therefore, the value of x that is a solution for the equation 7 - 4x = -12 - 3x is x = 19.

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Answer:

  8×10⁻³

Step-by-step explanation:

You want the value 0.00792398 rounded to the nearest thousandth.

The digit in the place to the right of the thousandth place is 9 in the ten-thousandths place. That is greater than 4, so the digit in the thousandths place needs to increase by 1 before other digits are dropped. The result is ...

  0.008 = 8×10⁻³

To estimate 0.00792398 to the nearest thousandth, round the number to the third decimal place. As the fourth decimal is 9, we round up to get 0.008. This expressed as single digit times a power of ten becomes 8 * 10^-3.

In this problem, you are asked to estimate 0.00792398 to the nearest thousandth. That means you need to round the number to the third decimal place. Firstly, you look at the fourth decimal place, which is 9. If this digit is 5 or more (which it is in this case), we round the third decimal number up. So 0.00792398 rounded to the nearest thousandth becomes 0.008.

Now, to express the answer as a single digit times a power of ten, you would express 0.008 as 8 * 10^-3. This is because -3 powers of ten move the decimal place three places to the left and leaves us with the original number 0.008.

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Answer:

c=pi x d

3.14x12.5

d is the answer

Step-by-step explanation:

The length of fencing should be  78.5 feet.

It is a well-known fact that the ratio of the circumference of a circle to its diameter is fixed and its value is 3.14159... which is symbolically represented as π. Therefore, circumference = π × diameter = 2π × radius.

Given:

diameter= 12.5 feet.

radius= 6.25 feet

So, circumference of circle

=2πr

=2.*314*6.25

= 78.5 feet.

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Answer:

288 gallons ÷ 6 miles = 48 miles per gallon  

48 miles per gallon • 7 miles = 366 miles  

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are three steps in calculating the slope of a straight line when you are not given its equation.

Step One: Identify two points on the line.

Step Two: Select one to be (x1, y1) and the other to be (x2, y2).

Step Three: Use the slope equation to calculate slope.

Take a moment to work through an example where we are given two points.

Example

Let's say that points (15, 8) and (10, 7) are on a straight line. What is the slope of this line?

Step One: Identify two points on the line.

In this example we are given two points, (15, 8) and (10, 7), on a straight line.

Step Two: Select one to be (x1, y1) and the other to be (x2, y2).

It doesn't matter which we choose, so let's take (15, 8) to be (x2, y2). Let's take the point (10, 7) to be the point (x1, y1).

Step Three: Use the equation to calculate slope.

Once we've completed step 2, we are ready to calculate the slope using the equation for a slope:

We said that it really doesn't matter which point we choose as (x1, y1) and the which to be (x2, y2). Let's show that this is true. Take the same two points (15, 8) and (10, 7), but this time we will calculate the slope using (15, 8) as (x1, y1) and (10, 7) as the point (x2, y2). Then substitute these into the equation for slope:

We get the same answer as before!

Often you will not be given the two points, but will need to identify two points from a graph. In this case the process is the same, the first step being to identify the points from the graph. Below is an example that begins with a graph.

Answer:

382000

Step-by-step explanation:

Answer:

D: {x ∈ R}

R: {y ∈ R}

Step-by-step explanation: Hope this helps! have a supercalifragilisticexpialidocious day! ◑﹏◐