1. Six units to the left of 3
2. Three units to the right of 15
3. Eight units to the left of -4
4. Seven units to the right of -5​

Answer:

D

Step-by-step explanation:

use you law of sine

missing angle A = 41

21/sin41=x/sin24 = 13

21/sin41=x/sin115 = 29

The measure of angle A is 41 degrees, the side lengths are 13, and the 29 units option (D) is correct.

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have a triangle shown in the picture

The measure of the angle A = 180 - (115+24)

Angle A = 41 degrees

Using sin law:

21/sin41 = AC/sin24

b = AC = 13 units

21/sin41 = AB/sin115

c = AB = 29

Thus, the measure of angle A is 41 degrees, the side lengths are 13, and the 29 units option (D) is correct.

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Answer:

384x² - 486xy²

Step-by-step explanation:

I think this is the answer all I did us first i solved the brackets then I multiplied them by 6x

Answer:  Do you have a pic

Step-by-step explanation:

Answer:

101°

Step-by-step explanation:

\(50 \degree + x \degree + (180 - 151) \degree = 180 \degree \\ \\ 50 \degree + x \degree +29 \degree = 180 \degree \\ \\ x \degree +79 \degree = 180 \degree \\ \\ x \degree = 180 \degree - 79 \degree\\ \\ x = 101 \degree\)

Another way:

x° + 50° = 151° (Alternate angles)

x° = 151° - 50°

x° = 101°

x = 101

Answer:

It will take them approximately 51.43 minutes to complete the project together

Step-by-step explanation:

This is what is called a "shared job" problem.

The best way to work on them is to start by finding the "portion" of the job done by each of the people in the unit of time.

So, for example, Sarah completes the project in 90 minutes, so in the unit of time (that is 1 minute) she completed 1/90 of the total project

Betty completes the project in 120 minutes, so in the unit of time (1 minute) she completes 1/120 of the total project.

We don't know how long it would take for them to complete the project when working together, so we call that time "x" (our unknown).

Now, when they work together completing the entire job in x minutes, in the unit of time they would have done 1/x of the total project.

In the unite of time, the fraction of the job done together (1/x) should equal the fraction of the job done by Sarah (1/90) plus the fraction of the job done by Betty. This in mathematical form becomes:

\(\frac{1}{x} =\frac{1}{90} +\frac{1}{120}\\\frac{1}{x} =\frac{4}{360} +\frac{3}{360}\\\frac{1}{x} =\frac{7}{360} \\x=\frac{360}{7} \\x=51.43\,\,min\)

So it will take them approximately 51.43 minutes to complete the project together.

As a result of answering the given question, we may state that As a  trigonometry result, the distance between points A and B is roughly 665 feet (rounded to the nearest foot).

The study of the relationship between triangle side lengths and angles is known as trigonometry. The concept first originated in the Hellenistic era, during the third century BC, due to the application of geometry in astronomical investigations. The subject of mathematics known as exact techniques deals with certain trigonometric functions and their potential applications in computations. There are six commonly used trigonometric functions in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant are their separate names and acronyms (csc). The study of triangle properties, particularly those of right triangles, is known as trigonometry. As a result, geometry is the study of the properties of all geometric shapes.

Let's call the distance between points A and B x. So we may construct a right triangle with the lighthouse as the vertex, point A as the bottom left corner, and point B as the top left corner. A vertical line drawn from the lighthouse to point D on the line segment AB makes a right triangle ADB.

We can use trigonometry to solve the following equations:

\(tan(60) = BD/1290\\tan(30) = BD + x/1290\)

When we simplify the first equation, we get:

\(1290 * tan(60) = 2236.08 feet BD\)

x = 1290 * tan(30) = 665.53 feet

As a result, the distance between points A and B is roughly 665 feet (rounded to the nearest foot).

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The indicators which would cause you to reject normality for a sample of data are:

A histogram of the data shows bar heights decreasing from left to right.

A histogram of the data shows bar heights decreasing from right to left.

In statistics, a sample refers to a group of individuals, objects, or observations selected from a larger population. The sample is chosen to represent the population and to provide information about the characteristics, behavior, or preferences of the population. Sampling is a common method used in statistical analysis to estimate population parameters, such as the mean or standard deviation. By analyzing the sample data, researchers can draw inferences about the population from which the sample was drawn.

Here,

Both of these indicators suggest that the data is not symmetric and may have a skewed distribution. The following indicators suggest that the data is likely normally distributed:

A normal probability plot of the data follows a linear pattern.

A histogram of the data shows that all bars have similar heights.

A normal probability plot is a graphical tool used to assess the normality of a data set. If the plot follows a straight line, it suggests that the data is normally distributed. Similarly, a histogram with bars of similar heights suggests that the data is symmetric and may be normally distributed.

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The volume of a standard NBA basketball is 7,329 cm³.

The volume of a sphere is given by the formula,

V = 4/3×π×r³

Given the diameter of the ball is 24.1 cm, therefore, the radius of the ball will be 12.05cm (half the diameter of the ball). Thus, the volume of the NBA basketball will be,

V = 4/3 × π × (12.05)³

V = 7,329.084 cm³ ≈ 7,329 cm³

Hence, the volume of a standard NBA basketball is 7,329 cm³.

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Answer: The slope is 1/2

Step-by-step explanation:

Calculate the rise (change in y-component) divided by the run (change in x-component).

rise = 0 - (-5) = 5

run = 12 - 2 = 10

slope = 5/10 = 1/2

What is 7 1/5 written as a percent?

720%

We know that 1/5 is the same as dividing 1 by 5.

or 1÷5.

Therefore, \(7\frac{1}{5}\) \(= 7+ (1/5)\)

Then using  Long Division for 1 divided by 5  we have

7 + 0.2 = 7.2

Converting our number to a percentage:

7.2(100)

= 720%

Therefore, 7 1/5 as a percent is 720%

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I'll be glad to assist.

Subject: Mathematics

Concept: Conversions

Grade: Middle/High

Answer:

The Convention of 1818 was a treaty between the United States and Britain that set the 49th parallel as the boundary between British North America and the US across the West.Forty-Ninth ParallelCutting on the 49th parallel, on the right bank of the Moyie River, looking west, 1860.(courtesy North American Boundary Commission)The Convention of 1818 was a treaty between the United States and Britain that set the 49th parallel of latitude as the boundary between British North America and the US across the West. This remains the boundary today between the two nations.

hope that helps! Have a good day

physical sciences 2023

The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.

In the response, the following elements were included:

1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.

2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.

3  Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.

4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.

Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.

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Simplifying this fraction gives us 1/4. The answer is (D) 1/4.

What is arithmetic sequence?

An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.

Let's start by finding the fraction of Michelle's patients who are under 12 or over 65. We know that one-third of her patients are under 12, so two-thirds must be 12 or older. Similarly, five-twelfths of her patients are over 65, so seven-twelfths must be 65 or younger.

Now, we want to find the fraction of Michelle's patients who are between 12 and 65. To do this, we need to subtract the fraction of patients who are under 12 or over 65 from 1 (since these are the only two age groups we're considering).

Fraction of patients under 12: 1/3

Fraction of patients over 65: 5/12

Fraction of patients 12 to 65: 1 - 1/3 - 5/12

We can simplify this expression by finding a common denominator:

Fraction of patients 12 to 65: 12/12 - 4/12 - 5/12

Fraction of patients 12 to 65: 3/12

Simplifying this fraction gives us 1/4. Therefore, the answer is (D) 1/4.

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Answer:

\(y= -486\)

Step-by-step explanation:

We first translate the statement into an equation:

\(\frac{y}{27}=-18\)

Then we simplify:

\(y= -486\)

Answer:

y/27 = -18

y = -486

Step-by-step explanation:

Translate the statement into an equation one step at a time.

"y divided by 27 is -18."​

y/27

"y divided by 27 is -18."​

y/27 =

"y divided by 27 is -18."​

y/27 = -18

Since y is being divided by 27, and you want y alone, multiply both sides by 27.

y/27 × 27 = -18 × 27

y = -486

Answer:

wnna call me and lift the lorax

Step-by-step explanation:

Answer:

12 inches by 13.5 inches

Step-by-step explanation:

3 inches= 5 feet

0.6 inch = 1 feet

20 feet=12 inches

22.5 feet=13.5 inches

please give me brainiest!!<3

movies 1.75 each

games 5.75 each

The solution is 42 : 98 : 105

The ratio of the number of songs Gerald , Harold and James downloaded is in the ratio 42 : 98 : 105

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Let the ratio of number of songs downloaded by Gerald and Harold be =

3 : 7

Let the ratio of number of songs downloaded by Harold and James be =

14 : 15

So , the number of songs downloaded by Gerald = 3x

The number of songs downloaded by Harold = 7x

And ,

The number of songs downloaded by Harold = 14y

The number of songs downloaded by James = 15y

So , substituting the values in the equation , we get

7x = 14y

x = 2y

And ,

The number of songs downloaded by Gerald = 3 x 14 z

The number of songs downloaded by Gerald = 42z

The number of songs downloaded by Harold = 7 x 14z

The number of songs downloaded by Harold = 98z

The number of songs downloaded by James = 7 x 15z

The number of songs downloaded by James = 105z

So , the ratio of the number of songs Gerald , Harold and James downloaded = 42z : 98z : 105z

On simplifying the proportion , we get

The ratio will be = 42 : 98 : 105

Hence , The ratio of the number of songs Gerald , Harold and James downloaded is in the ratio 42 : 98 : 105

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Answer:

(a) BC = 91 cm

(b) ∠C = 33.4° (nearest tenth)

(c) AD = 79.5 cm (nearest tenth)

Step-by-step explanation:

(a) Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

⇒ 60² + BC² = 109²

⇒ 3600 + BC² = 11881

⇒ BC² = 11881 - 3600

⇒ BC² = 8281

⇒ BC = √(8281)

⇒ BC = 91 cm

(b) Sine rule to find an angle:

   \(\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}\)

(where A, B and C are the angles, and a, b and c are the sides opposite the angles)

Given:

\(\implies \dfrac{\sin (90)}{109}=\dfrac{\sin C}{60}\)

\(\implies \sin C=60 \cdot\dfrac{\sin (90)}{109}\)

\(\implies \sin C=\dfrac{60}{109}\)

\(\implies C=33.39848847...\textdegree\)

\(\implies C=33.4\textdegree \ \sf(nearest \ tenth)\)

(c) Sine rule to find a side length:

   \(\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\)

(where A, B and C are the angles, and a, b and c are the sides opposite the angles)

Sum of interior angles of a triangle = 180°

Given:

\(\implies \dfrac{AD}{\sin (90)}=\dfrac{60}{\sin (49)}\)

\(\implies AD=\sin (90) \cdot \dfrac{60}{\sin (49)}\)

\(\implies AD=79.5007796...\)

\(\implies AD=79.5 \ \sf cm \ (nearest \ tenth)\)

The low Q₁ is 13 and the median Q₃ is 16.5, the high is 18 and the interquartile range is 3.5

The interquartile range is a measure of dispersion that tells us how spread out the middle 50% of a dataset is. To calculate the IQR, we first need to find the quartiles of the dataset. Quartiles divide a dataset into four equal parts, with the first quartile (Q₁) representing the 25th percentile, the second quartile (Q₂) representing the 50th percentile (also known as the median), and the third quartile (Q₃) representing the 75th percentile.

To find the quartiles of the dataset {10, 13, 13, 14, 15, 15, 16, 17, 18}, we first need to order the data in ascending order:

10, 13, 13, 14, 15, 15, 16, 17, 18

The low is the smallest value in the dataset, which is 10.

To find Q₁, we need to find the value that is 25% of the way through the dataset. Since we have 9 values in our dataset, 25% of 9 is 2.25. This means that Q₁ lies between the 2nd and 3rd values in the dataset, which are both 13. To find the exact value of Q₁, we can take the average of these two values:

Q₁ = (13 + 13) / 2 = 13

The median is the middle value in the dataset, which is 15.

To find Q₃, we need to find the value that is 75% of the way through the dataset. 75% of 9 is 6.75, which means that Q₃ lies between the 6th and 7th values in the dataset, which are 16 and 17, respectively. To find the exact value of Q₃, we can take the average of these two values:

Q3 = (16 + 17) / 2 = 16.5

The high is the largest value in the dataset, which is 18.

Now that we have found the quartiles, we can calculate the IQR by subtracting Q1 from Q₃:

IQR = Q₃ - Q₁ = 16.5 - 13 = 3.5

Therefore, the interquartile range of the dataset {10, 13, 13, 14, 15, 15, 16, 17, 18} is 3.5. This tells us that the middle 50% of the dataset is relatively tightly clustered around the median, with values ranging from 13 to 16.5.

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Answer: 6,001 milliliters

Step-by-step explanation: 6 Liter translates to 6,000 milliliters, which is 1 less than 6,001 milliliters.

Answer:

I believe 6 liters is more.

The perimeter of the square is : 4S

where S is the side of the square

So 4S = 152

S = 38 inches

The Area of the square is S^2

So Area = 38^2 = 1444 in^2

The answer is

1444 in^2

ANSWER:

STEP-BY-STEP EXPLANATION:

Answer:

8(3x + 2)

Step-by-step explanation:

→To factorize this expression, you must take out the GCF (Greatest Common Factor). The GCF is the biggest number that you can take out of all the terms in the expression, meaning the number has to be able to be divide by 24x and 16.

→The GCF is 8:

8(3x + 2)

Answer:

8(3x+2)

Step-by-step explanation:

24x+16

8*3*x + 8*2

Factor out an 8

8(3x+2)

Answer:

Distance = 7 7/9 Km

Step-by-step explanation:

Given the following data;

Distance = 2⅔ = 8/3 Km

Time = ⅗ hour

First of all, we would find her speed;

Speed = distance/time

Speed = (8/3)/(3/5)

Speed = 8/3 * 5/3

Speed = 40/9 km/h

Next, we would find the distance covered when time = 1¾ hours

Distance = speed * time

Distance = 40/9 * 1¾

Distance = 40/9 * 7/4

Distance = 10/9 * 7

Distance = 70/9

Distance = 7 7/9 Km

Answer:

  $4918

Step-by-step explanation:

You want the tax owed on $90,000 using the given tax rate table.

The tax is the sum of the amounts of tax due in each income range.

  tax = 0.0575(90,000 -17,000) +0.05(17,000 -5000) +0.03(5000 -3000) +0.02(3000)

  = 0.0575(90,000) -(17000(.0575 -.05) +5000(.05 -.03) +3000(.03 -.02))

  = 0.0575(90,000) -(127.50 +100 +30)

  = 5175 -257.50 = 4917.50

Rounded to the nearest dollar, the tax due is $4,918.

__

Additional comment

The tax will be the maximum of ...

You can compute them all and find the maximum, or you can choose the function applicable to the income amount. The result is the same.

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