Circle O shown below has a radius of 9 inches. To the nearest tenth of an inch,
determine the length of the arc, x, subtended by an angle of 81°.
9 inches
10=81°

Answer:

hard

Step-by-step explanation:

ybfhf

Answer:

C. Use a compass and draw an arc across both the legs of the given angle.

Step-by-step explanation:

A graph will be drawn where a scale of 2 cm to 1 unit on x-axis and 2 cm to 2 units on the y-axis, draw on a graph sheet two perpendicular axes

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.

Types of Graphs and Charts

Statistical Graphs (bar graph, pie graph, line graph, etc.)

Exponential Graphs.

Logarithmic Graphs.

Trigonometric Graphs.

Frequency Distribution Graph.

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The angle is 45 degrees between the trajectories the ball takes before and after hitting the rail.

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.

We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

We have LHS = RHS (left hand side = right hand side) in every mathematical equation.  To determine the value

To determine the value A statement is not an equation if it has no "equal to" sign.

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation.

Hence, The angle is 45 degrees between the trajectories the ball takes before and after hitting the rail.

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After simplification, the value of expression is,

⇒ 15 + y - 9a + ax - 9u + ux

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ (15 + y) - (a + u) (3² - x)

Now, Simplify the expression as;

⇒ (15 + y) - (a + u) (3² - x)

⇒ (15 + y) - (a + u) (9 - x)

⇒ (15 + y) - (9a - ax + 9u - ux)

⇒ 15 + y - 9a + ax - 9u + ux

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When n is known to be an integer, the formula for m also produces an integer. The assumption is confirmed once the necessary integer m was located.

Positive, negative, and zero are all examples of integers. As a result, integers include numbers like 0, 1, 2, 3, as well as -1, -2, and 3. There are no additional parts, such as fractions or decimals, in integers. As a result, fractional values like 3 1/2 and decimal numbers like -7.5 are NOT integers. All positive counting numbers, zero, and all negative counting numbers that count from negative infinity to positive infinity are included in the category of integers. The fundamental arithmetic operations are included in integer operations (addition, subtraction, multiplication and division). In mathematics, integers are any numbers that are either positive, negative, or zero, with the exception of fractions. As a result, operations on integers are simple.

given

Any whole number that is a multiple of 3 is a type 0 integer. Examples are 3, 6, 9, and 12.

n=1: 3(1)=3

n=2: 3(2)=6

n=3: 3(3)=9

n=4: 3(4)=12

When n is known to be an integer, the formula for m also produces an integer.

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The coordinate of the vertices (x,y) after a reflection over the x-axis is (x, -y). It is also known as a rule.

What are coordinates?

Coordinates are two numbers (Cartesian coordinates) or a letter and a number that point to a specific point on a grid known as a coordinate plane. A coordinate plane has four quadrants and two axes: x (horizontal) and y (vertical).

A reflection of a point, line, or figure in the x-axis entailed mirroring the image over the x-axis. In this case, the x-axis is referred to as the axis of reflection.

The rule for reflecting over the x-axis is to negate the value of each point's y-coordinate while keeping the x-value constant.

For instance, when point P with coordinates (7,3) is reflected across the x-axis and mapped onto point P', P"s coordinates are (7,-3). The x-coordinate for both points remained unchanged, but the y-coordinate changed from 3 to -3.

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The difference between Georgina's total stock earnings and her real return is $119.70. he difference between Georgina's total stock earnings and her real return is $119.70.

What is the difference?

The term "difference" refers to the amount by which one quantity is greater or less than another.

The difference between Georgina's total stock earnings and her real return can be calculated as follows:

Difference = Total stock earnings - Real return

Difference = $395.50 - $275.80

Difference = $119.70

Hence, the difference between Georgina's total stock earnings and her real return is $119.70.

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Answer: 84

Step-by-step explanation:

9^2+2*4-5

Let's solve according to PEMDAS and calculate the exponent first.

That leaves us with

81+2*4-5

Next, it's time to multiply.

81+8-5

From then on, we can just add and subtract to get the final answer:

84

Answer:

90°

Step-by-step explanation:

So we know that ∠PRM is 120° and that line m would be 180°, we would subtract 120 from 180 to get 60°.

So ∠PRQ is 60°.

All the angles of a triangle equals to 180°.

∠PQR is given as 30°. So we will need to add 60+30=90.

180-90=90. So ∠QPR is 90°.

The volume of the composite solid, given the dimensions for the cylinder and cone, is D. 1, 099 cm ³

First, find the volume of the cone which can be found by the formula:

= π x radius ² x ( height / 3 )

Height = 3 inches

Radius = 3 inches

The volume is:

= π x radius ² x ( height / 3 )

= π x 3 ² x ( 2.5 / 3 )

= 28.27 inches ³

The volume of the cylinder is :
= π x radius ² x  height

= π x 3² x 2. 5

= 70. 69 inch ³

The volume of the composite solid is:

= 28. 27 + 70. 69

= 98.96 inch³

In cm³, this is:

= 98. 96 x 16.3871

= 1, 099 cm ³

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Answer is 4 of these sets contain a 5 in sets of three different numbers whose sum is 15

These problems are really brute force, there is no real clever way. I only just listed all possible combinations

HOWEVER, notice in answer.

5 1 9

5 2 8

5 3 7

5 4 6

Since ALL the sets contain a 5, we just subtract 5 from 15.

So we need TWO terms in a set and they add up to 10, and also are unique.

This is quite easy.

1 9

2 8

3 7

4 6

5 5 (does not work because cannot repeat digit)

thus , answer is 4 of these sets contain a 5 in sets of three different numbers whose sum is 15

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The required converted number is 46.10 which is 46.1031 rounded to four significant figures.

Place value strategies are defined as math strategies that use to assist you in resolving your elementary math problems, using your place values, such as tens and hundreds.

To convert 46.1031 to four significant figures, we must first identify the four most significant digits. In this case, the four most significant digits are 46.10.

To express 46.1031 in four significant figures, we round it to 46.10.

Therefore, 46.1031 rounded to four significant figures is 46.10.

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A Graph comprise of nodes and edges. The nodes are sometimes also denoted to as vertices and the edges are lines or arcs that joins any two nodes in the graph.

1. Finite Graphs: A graph is said to be limited if it has a finite number of vertices and a finite number of edges.

2. Infinite Graphs: A graph is said to be infinite if it has an unlimited number of vertices as well as an unlimited number of edges.

3. Trivial Graph: A graph is said to be trivial if a finite graph consists of only one vertex and no edge.

4. Regular Graph: A simple graph is called to be regular if all vertices of graph G are of equal degree.

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Answer: W = 7, L = 14

Step-by-step explanation: L = 2W. 2L + 2W = 42. Plug in L and we get 4W + 2W = 42. 6W = 42. W = 7. L = 14

The value of x, considering the area of the rectangular regions, is given as follows:

x = 12.

The area of a rectangle is given by the multiplication of the two dimensions of the rectangle.

The area of the shaded region is obtained subtracting the area of the entire rectangle by the area of the inner white rectangle.

The area of the entire rectangle is given as follows:

(x + 8)(x + 5) = x² + 13x + 40.

The area of the white region is given as follows:

(x + 2)(x - 3) = x² - x - 6.

Hence the area of the shaded region is given as follows:

x² + 13x + 40 - (x² - x - 6)

x² + 13x + 40 - x² + x + 6

14x + 46.

As the area of the shaded region is of 214 units squared, the value of x is obtained as follows:

14x + 46 = 214

14x = 168

x = 168/14

x = 12.

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The formula describes the sequence will be aₙ = n + 3. Then the correct option is 3.

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The sequence is given below.

4, 5, 6, 7, ....

The first term is 4 and the common difference is given as,

d = 5 - 4

d = 1

Then the formula is given as,

aₙ = 4 + (n - 1) × 1

aₙ = 4 + n - 1

aₙ = n + 3

The formula describes the sequence will be aₙ = n + 3. Then the correct option is 3.

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The measure of the value of corresponding angle is found as : ∠BFG = 76.

For the given question:

Given values:

∠BCD = ∠BFG (Corresponding angles)

x + 26 = 2x - 24

2x - x = 26 + 24

x = 50

Then,

∠BFG = 2*50 - 24

∠BFG = 100 - 24

∠BFG = 76

Thus, the measure of the value of corresponding angle is found as : ∠BFG = 76.

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the complete question is-

Hint: Find the value of x first, then substitute the answer into 2x - 24.

The measure of angle BFG is ___.

∠BCD = x + 26

∠BFG = 2x - 24

The maximum is N*(N-1)/2 and the minimum is N-1 if there are N vertices.

Proof:

Consider an adjacency matrix where each entry is either 1 (to denote the presence of an edge) or 0 (to indicate the absence of an edge) (to indicate the absence of an edge). Each row of the upper triangle must have at least one "1" in order for a graph to be connected.

By merely placing one 1 in each row of the upper triangle, the minimum is reached. Now, if the adjacency matrix is N by N, the first row will have N-1 elements in the upper triangle, the second row will have N-2 elements, the third row will have N, the fourth row will have N, and so on until the last row will have 0 items. Consequently, there are N total rows  "with an upper triangle", each with only one 1. Hence, the number of edges in N-1.

The maximum occurs if every element of the upper triangle has one. Now, the number of elements in the upper triangle of the whole matrix is

1 + 2 + ... + (N-2) + (N-1) = N*(N-1)/2.

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The area of the shaded region is 36.53 cm^2 and the perimeter of the shaded region is 8π cm.

What is area and perimeter?

The area of a shape or figure is its area, whereas the perimeter of a shape is its outer boundary over a given distance. Area is measured in square units or unit2 while perimeter is measured in the same unit.

The circumference of a shape is known as its perimeter. The lengths of all four sides must be added in order to determine a rectangle's or square's perimeter.

Radius, r = 8 cm

Perimeter of a circle = 2πr

Perimeter of s quarter circle = 2πr/4 = 1/2πr

Perimeter of Shaded part = 1/2 * 2πr

                                          = 1/2 × 2 × π × 8

                                          = 8πcm.

Area of a circle = 2πr²

Area of quarter circle = 2πr²/4 = 1/2πr²

Area of a square = length ²

Area of Shaded part = Area of Quarter-circle - Area of Square

                                  = 0.5π(8)² - 8²

                                   = 0.5π(64) - 64

Area of Shaded part  = 36.53 cm^2

Hence, the area of the shaded region is 36.53 cm^2 and the perimeter of the shaded region is 8π cm.

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The interval that contains the median water bill is D: $200 - $225.

The data in tabular form is as follows: ata  :

Class interval ------- Frequency -------- Cummulative frequency

100 to 125, ----------- 1 --------------------1

125 to 150 -----------2--------------------3

150 to 175----------- 5 --------------------8

175 to 200----------- 10 ------------------18

200 to 225-----------13------------------ 31

225 to 250 ------------8 -----------------40

Median class = Cumulative frequency / 2

Cumulative frequency= 40

So

Median class = 40 / 2

Median class = 20

The class interval containing the 20th frequency is "200 - 225"

Therefore it is concluded that the interval which contains the median water bill is $200 - $225.

"

Complete question

A histogram titled Neighborhood Monthly water bill has monthly water bill (dollars) on the x-axis and frequency on the y-axis. 100 to 125, 1; 125 to 150, 2; 150 to 175, 5; 175 to 200, 10; 200 to 225, 13; 225 to 250, 8.

Which interval contains the median water bill?

$150–$175

$175–$200

$200–$225

$225–$250

"

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The data shows mean concentrations (mg/l) of pollutants in rainwater leaving either green or conventional roofs. Correct Option is: (D)The Total Volume of Rainfall is needed to calculate the total amount of a pollutant leaving the roof during and following a rainstorm.

Volume:

Precipitation intensity is the water depth (mm) recorded during a shower divided by the duration of the shower (hours).

Expresses water depth per hour in millimeters (mm/hour).

[tex]rainfall intensity = total amount of rainwater(mm)/ duration of the rainfall (hours)[/tex]

A volume is a measure of three-dimensional space. Often quantified numerically using SI units (such as cubic meters and liters) or using various imperial or US customary units (such as gallons, quarts, and cubic inches). The definition of length (cube) relates to volume. Container volume is generally understood to mean the capacity of the container. That is, the amount of liquid (gas or liquid) that the container can hold, not the amount of space that the container itself moves.

In ancient times, volume was measured using similarly shaped natural vessels and later standardized vessels. The volume of some simple 3D shapes can be easily calculated using arithmetic formulas. The volume of more complex shapes can be calculated using integral calculations if there is an equation that constrains the shape. Zero, one, and two dimensional objects have no volume. In four dimensions and above, a concept analogous to ordinary volumes is a hypervolume.

Volume of Rainfall:

The Average Rainfall = Depth x Radius x Radius x 3.14. The area at the top of the bucket (this is the area where rain is collected). Dividing the precipitation by this area will give you the precipitation.

Complete Question:

The data in the table show mean concentrations (mg/L)(mg/L) of pollutants in rainwater leaving either green or conventional roofs. Which of the following data would be needed to calculate the total amount of a pollutant leaving the roof during and following a rainstorm?

A) Distance from street level to roof

B) Duration of the rain event

C) Total number of plants on the roof

D) Total volume of rainfall

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Answer: 77m

Step-by-step explanation:

The equation for the perimeter of a rectangle is: p = 2(length) + 2(width). We are given both perimeter and the length, so we can plug in these values to solve for what is missing.

332m = 2(89) + 2(width)

332m = 178 + 2(width)

154 = 2(width)

width = 77

Just combine like terms and get the variable (width) by itself on one side of the equation to solve. Hope this helps!

Answer:

width = 77 m

Step-by-step explanation:

Perimeter = sum of all sides

As a rectangle has 2 lengths and 2 widths making a total of four sides;

P = 2 ( l + w)

332 = 2 ( 89 + w)

332/2 = 89 + w

166 = 89 + w

166 - 89 = w

77 = w

Therefore, the width of the pool is 77 m

Answer: 5

Step-by-step explanation:

We are looking for the number of years below the 25th percentile, which is given by the first quartile.

Since the first quartile is 5, we know that about 25% of Carlson High School teachers have fewer than 5 years of experience.

Answer:

12 people

Step-by-step explanation:

Total people in the company = 120

No. of People who assemble yo- yo's = 120 × (60/100

                                                               = 72

Now, we need 70% of the total people to assemble yoyo = 120 × (70/100)

                                                                                                = 84

We already have 72 people assembling yoyo,

No. of more people needed =  84 - 72 = 12

Hence, if we have 12 more people from other departments, 70% of the total people would be assembling yo-yo's.

The second graph does not represent the y as a function of x.

What is the function?

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

The x value of a point where a vertical line intersects a function represents the input for that output y value.

If we can draw any horizontal line that intersects a graph more than once, then the graph does not represent a function because that y value has more than one input.

If we draw a line parallel to the y-axis it cuts the graph in more than one point.

So, that does not represent a function.

Here, we have given four graphs

Among this, the second graph intersects the x-axis two times,

Hence, the second graph does not represent y as a function of x.

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The first piece is 7.2 feet long, and the second piece is 12- 7.2 = 4.8 feet long.

The ratio of the two pieces is 3 to 2. This means that the length of the first piece is 3/5 of the total length, and the length of the second piece is 2/5 of the total length.

If we let x be the length of the first piece, the length of the second piece is:

12 - x

Since the ratio of the two pieces is 3 to 2, we can set up the equation:

(3/5) * 12 = x

Solving for x:

x = 7.2

So, the first piece is 7.2 feet long, and the second piece is 12- 7.2 = 4.8 feet long

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The probability of each outcome is 1/12 or 0.083.

The probability of each outcome in the sample space can be calculated using the formula for permutations. The formula for permutations is nPk = n!/(n-k)!. In this case n is the number of gift cards (4) and k is the number of gift cards to be selected (2).  In this example, the sample space consists of 16 possible outcomes, and each outcome is equally likely. Thus, the probability of each outcome is 1/16. To calculate this, divide 1 by the total number of outcomes (16). This results in the probability of each outcome being 1/16.Therefore, nPk = 4P2 = 4!/2! = 12. Since each outcome is equally likely, the probability of each outcome is 1/12 or 0.083. This can be written as a fraction as 1/12 or as a decimal as 0.083.

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Answer:

77 cups

Step-by-step explanation:

88 ounces/ day = 11 cups/ day
A week = 7 days
=> 11 x 7 = 77 cups/week