Find the area of each triangle. Round your answers to the nearest tenth.

Answer:

B

Step-by-step explanation:

x*3/7=42

divide 42 by 3/7: 42*7/3=98

x=98

Answer:

B) 98

Step-by-step explanation:

3/7 = 42/x

3x = 294

x = 98

Two sports cars leave the same city at 9 A. M. One heads south at 30 mi/h, while the other travels east at 25 mi/h. So The two sports cars are approximately 79.57 miles apart at noon.

The first car is traveling south at a speed of 30 mi/h, and the second car is traveling east at a speed of 25 mi/h. To find the distance between them at noon, we need to calculate the displacement of each car during the three-hour period. The first car travels 30 mi/h for three hours, covering a distance of 90 miles south. The second car travels 25 mi/h for three hours, covering a distance of 75 miles east. By applying the Pythagorean theorem, we can find the distance between the two cars, which is approximately 79.57 miles.

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Answer:

no it is not able to be factored

Answer:

The amount she saves is 25% of her income

Step-by-step explanation:

She is paid $11 per hour

She works 9 hours per day

and for 24 days per month

So, she works 9(24) hours per month

= 216 hours per month

Now, she is paid $11 hourly, so for 216 hours,

she will have 11(216) = $2376

Total income = $2376 per month

Saving = $594 per month

As a percentage, we divide the savings by the total income,

savings/(total income) = 594/2376 = 1/4 = 0.25

Hence we get 25%

The ratio strength of the final product is 1:0.4.

One technique to indicate concentration is through ratio strength, which uses a ratio to characterize drug concentration. In this context, concentration is defined as the quantity of a solute that makes up one unit in the whole volume of a solution or combination. You should be an expert in ratio strength calculations as a pharmacy student. Ratio strength uses a ratio to describe the medication concentration. So, what it implies is, you have one unit of solute contained in the complete amount of preparation and so generally your ratio strength is expressed as one is to something. In the case of a weight-in-weight, volume-in-volume, or weight-in-volume situation, you would interpret a ratio of 1:2,000 differently.

Drug strength = 800mg

whole volume =2ltrs

The ratio of the solution in 1 ltr is = 400 mg

The ratio strength of the solutions is = 1:0.4

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Step-by-step explanation:

you can ask questions for clarification

Answer:

3x^3-6x-4

Step-by-step explanation:

f(x)+g(x)=(8x^3-7x+4)+(-5x^3+x-8)

--> 8x^3-7x+4+-5x^3+x-8

-->8x^3-7x+4-5x^3+x-8

combine like terms:

8x^3-5x^3=3x^3

-7x+x=-6x

4-8=-4

3x^3-6x-4

*^3 means to the third or an exponent of 3

Answer:

24.59 m/s

Step-by-step explanation:

Average speed(m/s) = distance travelled(m) / time taken(s)

Distance = 220 miles

220 miles = 354,056 meters

Time taken = 4 hours

4 hours = 14,400 seconds

Average speed = distance travelled / time taken

= 354,056 / 14,400

= 24.59 meter/seconds

= 24.59 m/s

Answer:

Step-by-step explanation:

\(1+cot^2x = csc^2x= \frac{1}{sin^2x}\)

it becomes

\(\frac{1}{sin^2x}*\frac{sin^2x}{cos^2x}=\frac{1}{cos^2x}=sec^2x\)

Done

3/4 + 5/7

= 21/28 + 20/28

= 41/28

= 1 13/28

Answer:

3/4 + 5/7 = 41/28  = 1 13/28 ≅ 1.4642857

Step-by-step explanation:

3/4 + 5/7 = 41/28  = 1 13/28 ≅ 1.4642857

Spelled result in words is forty-one twenty-eighths (or one and thirteen twenty-eighths).

Answer:

142 degrees

Step-by-step explanation:

Easy, 180 degrees in a triangle... so 180-73-69 is 38... now two angles combined on a staight line is also 180 degrees. So now 180 degrees minus 38 is 142 degrees.

Answer:

angle ?   (or angle BAN) = 142 degrees     Choice (B)

Step-by-step explanation:

all triangles contain 180 interior degrees

180-73-69 = 38 degrees  = interior angle at A (or angle CAB)

angle CAN = 180 degrees

180 - 38 = 142 degrees

The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.

To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:

% Replace '12345678' with your actual student number

studentNumber = '12345678';

% Extract the first 4 digits as the first number

firstNumber = str2double(studentNumber(1:4));

% Extract the last 3 digits as the second number

secondNumber = str2double(studentNumber(end-2:end));

% Find the GCD using the Euclidean algorithm

gcdValue = gcd(firstNumber, secondNumber);

% Display the result

disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);

Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.

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Answer: Mei had $21.25

Step-by-step explanation: if you add $12 to $9.25 you get $21.25

Answer:

The money she had in the beginning was $21.25

Step-by-step explanation:

Given ,

The cost of the ticket Mei spent = $12.00

Money remaining = $9.25

To Find : The Money she had in the beginning

When we add the given values we get the money she had in the beginning

which is,

Amount = Amount Spent on a Ticket + Money Remaining

Amount = \($12.00 + 9.25\)

Amount = \(21.25\)

Hence ,  the amount she had in the beginning was $21.25

The correct option A, "None of the associations listed are correct," is the appropriate response.To determine the association suggested by the two-way table, we need to calculate the relative frequency of the data.

The table provides information about whether individuals have a brother and a sister.

Based on the options given, let's calculate the relative frequencies to see which association is suggested:

Calculate the relative frequency for individuals who have a brother and a sister:Relative frequency = (Number of individuals with both a brother and a sister) / (Total number of individuals)

Calculate the relative frequency for individuals who have a brother but no sister:Relative frequency = (Number of individuals with a brother but no sister) / (Total number of individuals)

Calculate the relative frequency for individuals who have a sister but no brother:Relative frequency = (Number of individuals with a sister but no brother) / (Total number of individuals)

Calculate the relative frequency for individuals who have neither a brother nor a sister:Relative frequency = (Number of individuals with neither a brother nor a sister) / (Total number of individuals)

By comparing the relative frequencies, we can determine which association is suggested by the data.Unfortunately, the given two-way table is missing, so we cannot perform the necessary calculations to determine the association.

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The steps of student B are in the correct order but the steps of student A are in the incorrect order.

Lines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other are known as parallel lines and the lines that never intersect are known as parallel lines.

We have:

You are given AB and point C. Construct a line parallel to AB that passes through point C

The correct way to draw a parallel line to AB that passes through point C is:

The steps of student B are in the correct order but the steps of student A are in the incorrect order.

Thus, the steps of student B are in the correct order but the steps of student A are in the incorrect order.

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Let us set up the equation:

\(total population = 10000*(2)^{68/17}=10000*(2^4)=160000\) people

Hope that helps!

Assuming a town with a population of 10,000 doubles in size every 17 years. The population  68 years from now is 160,000.

P(t) = 10000×2t/12

Where:

t=time;  k is a constant

P(68) = 10000×2^68/12

P(68) = 10000×2^4

P(68) = 10000×16

P(68) = 160,000

Inconclusion assuming a town with a population of 10,000 doubles in size every 17 years. The population  68 years from now is 160,000.

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Mae's walking speed is 10 miles per hour. This is calculated by considering the given information.

Let's assume Mae's walking speed is represented by the variable "x" (in miles per hour). According to the given information, her jogging speed would then be "x + 12.5" miles per hour.

To calculate Mae's exercise time, we can use the formula: time = distance / speed.

Mae jogs 27 miles at a speed of "x + 12.5" miles per hour, so her jogging time can be calculated as:

jogging time = 27 / (x + 12.5)

Mae walks an additional 3 miles at a speed of "x" miles per hour, so her walking time can be calculated as:

walking time = 3 / x

The total exercise time is given as 3 hours. Therefore, we can set up the equation:

jogging time + walking time = 3

Substituting the calculated values, we get:

27 / (x + 12.5) + 3 / x = 3

To solve this equation, we can start by multiplying all terms by x(x + 12.5) to eliminate the denominators:

27x + 27 * 12.5 + 3(x + 12.5) = 3x(x + 12.5)

Simplifying the equation:

\(27x + 337.5 + 3x + 37.5 = 3x^2 + 37.5x\)

Combining like terms:

\(30x + 375 = 3x^2 + 37.5x\)

Rearranging the terms to set the equation equal to zero:

\(3x^2 + 7.5x - 375 = 0\)

To solve this quadratic equation, we can use the quadratic formula:

x = (-b ± √(\(b^2\) - 4ac)) / (2a)

In this case, a = 3, b = 7.5, and c = -375. Substituting these values into the quadratic formula:

x = (-7.5 ± √(\(7.5^2\) - 4 * 3 * -375)) / (2 * 3)

x = (-7.5 ± √(56.25 + 4500)) / 6

x = (-7.5 ± √(4556.25)) / 6

Calculating the square root:

x = (-7.5 ± 67.5) / 6

Simplifying further:

x = (60 / 6) or x = (-75 / 6)

Since Mae's walking speed cannot be negative, the solution is x = 10.

Therefore, Mae's walking speed is 10 miles per hour.

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The complete question is:

For exercise, Mae jogs 27 miles then walks an additional 3 miles to cool down. If her jogging speed is 12.5 miles per hour faster than her walking speed and her total exercise time is 3 hours, what is her walking speed? The athlete's walking speed is

The confidence interval is (0.309, 0.389).

Calculate a 98% confidence interval for the population proportion of people who are captured after appearing on the 10 Most Wanted list.

Sample size, n = 782

Sample proportion, p = x/n = 0.349105

Confidence level, 1 - α = 98% = 0.98 Implies

Level of significance, α = 0.02

At α = 0.02, the two-tailed critical value from the z-table, Zα/2 = 2.33

Then, the 98% confidence interval is,

It gives, 0.309≤ p ≤0.389

Lower endpoint = 0.309

Upper endpoint = 0.389

We are 98% confident that the proportion of all suspected criminals who were captured is within the confidence interval. If we were to take a large number of random samples of size 782, 98% of the resulting confidence intervals would contain the true proportion of all suspected criminals who were captured.

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Answer:

\(f^-1(x)=\frac{ln(x)}{ln(8)}\)

Answer:

Cantidad total de lapices= 76

Step-by-step explanation:

Dada la siguiente información:

Costo por docena= $0.79

Presupuesto total= $5

Para calcular la cantidad total de lapiceras que se pueden comprar con $5, debemos usar la siguiente formula:

Cantidad total de lapices= presupuesto total / costo por docena

Cantidad total de lapices=  5 / 0.79

Cantidad total de lapices= 6.33

Para ser mas exactos:

0.33*12= 4

Cantidad total de lapices= 6*12 + 4

Cantidad total de lapices= 76

Answer:

195 yards

Step-by-step explanation:

The slope of the line follows a linear pattern; therefore, find the equation for the line by calculating the slope and plugging in a point.

Slope:

y2-y1/x2-x1; (9, 105) (8,115)

(115-105)/(8-9) = -10; the slope is -10, now solve for the equation of the line.

y=mx+b; plug in the point (9,105)

105 = -10(9) +b

105 = -90 +b, add 90 to both sides

195 = b; rewrite the equation;

y=-10x+195; x stands for the iron, plug in 0 for x;

y=-10(0)+195

y=195 yards.

Correlation measures the strength and direction of the relationship between two variables.

It quantifies how closely the variables are related to each other. The correlation coefficient is a statistical measure that ranges between -1 and 1, where -1 indicates a perfect negative correlation, 1 indicates a perfect positive correlation, and 0 indicates no correlation.

Regression:

Regression analysis is a statistical technique used to model and analyze the relationship between a dependent variable and one or more independent variables. It helps in understanding how the independent variables influence or predict the dependent variable. Regression analysis estimates the parameters of a mathematical equation that best fits the data and allows us to make predictions or draw conclusions based on the relationship between variables.

Types of Correlation:

1. Positive Correlation: In positive correlation, as one variable increases, the other variable also tends to increase. The correlation coefficient is positive, ranging from 0 to 1.

2. Negative Correlation: In negative correlation, as one variable increases, the other variable tends to decrease. The correlation coefficient is negative, ranging from 0 to -1.

3. No Correlation: No correlation means that there is no relationship between the variables. The correlation coefficient is close to 0.

Properties of Regression:

1. Linearity: Regression assumes a linear relationship between the independent and dependent variables.

2. Independence of Errors: The errors or residuals in regression should be independent of each other, meaning that there should be no systematic pattern or relationship among them.

3. Homoscedasticity: Homoscedasticity means that the variance of the residuals should be constant across different levels of the independent variables.

4. Normality of Residuals: The residuals in regression should follow a normal distribution.

5. No Multicollinearity: Multicollinearity occurs when there is a high correlation between independent variables, which can lead to problems in interpreting the coefficients.

These properties ensure the validity and reliability of the regression analysis and allow us to make accurate inferences and predictions based on the regression model.

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Answer:

The answer is probably c

Step-by-step explanation:

its deducted by the x axis

Answer:

B

Step-by-step explanation:

Answer:

B- Parallelogram PQRS is also a rhombus.

Step-by-step explanation:

Given

Parallelogram PQRS with perpendicular diagonals

Required

Which of the option is true

(a) PQRS can be a rectangle

A rectangle do not have perpendicular diagonals.

Hence, (a) is false

If (a) is false, then (d) is also false

(b) PQRS can a rhombus

The diagonals of a rhombus are not perpendicular.

So (b) is true

No need to check for (c), since only option is true

Answer:

B- Parallelogram PQRS is also a rhombus.

Step-by-step explanation:

Hope this helps

Answer:

90 = 150 of 60

88 = 220 of 40

75 = 300 of 25

100 = 125 of 80

Step-by-step explanation:

Answer:

90 = 150% of 60$

88 = 220% of 40$

75 = 300% of 25$

100 = 125% of 80$

The percents you need to convert to a decimal and times it by the amount of money to find the answer.

The Values of (a+b)ab are undefined.

Given that, a = 3an and db = -2We need to find the values of (a+b)

Now, we have a = 3an... equation (1)Also, we have db = -2... equation (2)From equation (1), we get: n = 1/3... equation (3)Putting equation (3) in equation (1), we get: a = a/3a = 3... equation (4)Now, putting equation (4) in equation (1), we get: a = 3an... 3 = 3(1/3)n = 1

From equation (2), we have: db = -2=> d = -2/b... equation (5)Multiplying equation (1) and equation (2), we get: a*db = 3an * -2=> ab = -6n... equation (6)Putting values of n and a in equation (6), we get: ab = -6*1=> ab = -6... equation (7)Now, we need to find the value of (a+b).For this, we add equations (1) and (5),

we get a + d = 3an - 2/b=> a + (-2/b) = 3a(1) - 2/b=> a - 3a + 2/b = -2/b=> -2a + 2/b = -2/b=> -2a = 0=> a = 0From equation (1), we have a = 3an=> 0 = 3(1/3)n=> n = 0

Therefore, from equation (5), we have:d = -2/b=> 0 = -2/b=> b = ∞Now, we know that (a+b)ab = (0+∞)(0*∞) = undefined

Therefore, the values of (a+b)ab are undefined.

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The histogram representing the data is attcwhwd in the picture below.

Answer:

C On exactly 25% of these days, Shane drank 3 to 4 glasses of water.

Step-by-step explanation:

The number of 8 - ounce glasses is represented on the x - axis and the number of days on the y - axis.

From the histogram ;

Shane drank 1 - 2 glasses on exactly 1 day

Shane drank 3 - 4 glasses on exactly 3 days

Shane drank 5 - 6 glasses on exactly 6 day

Total number of days = 12

60% of 12 = 7.2

On exactly 60% of the days, which is 7.2 days, number of glasses drunk isn't covered by the histogram

25% of 12 ; 0.25 * 12 = 3 days

From the histogram, number of glasses consumed is 3 - 4 glasses ; which is the only true statement about the histogram in the options given.

Answer:

\(\huge\mathfrak\pink{ here's your solution } \\ \\ im \: soo \: happy \: \)

The missing justification proof in the proof that JP/PA = MB/BA is; Option C. Corresponding angles are congruent

Similar triangles are defined as triangles that possess the same shape, but then their sizes may differ. Thus, all equilateral triangles and squares of any side lengths are examples of similar objects

Now, when two lines are crossed by another line, the angles in matching corners are referred to as Corresponding Angles. Secondly, when the two lines being crossed are Parallel Lines, then we can say that the Corresponding Angles are equal.

In the figure we are given that PB || JM .

Now, we will write the reason for statement showing that ∠AJM is congruent to ∠APB.

These angles are on matching corners for the parallel lines PB and JM and as such they are corresponding angles.

Thus, we conclude that Option C is the right justification for the given statement.

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Answer:

5x-7-5+X=5-x-5+X

or,6x-12=0

or,6x=12

or,X=12/6

:.X=2

Answer:

x is a horizontal line and y is a vertical line