find the measure of angle A

Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

Answer: 5

Step-by-step explanation:

because idek sorry

The velocities of the boat and the person relative to the shore are 1.337 m/s and 2.896 m/s, respectively.

We can use the conservation of momentum equation:

(mboat + mperson) * vboat = mperson * vperson

(160 kg + 70 kg) * vboat = 70 kg * (0.80 m/s + vperson)

230 kg * vboat = 56 kg * (0.80 m/s + vperson)

vboat = (56/230) * (0.80 m/s + vperson)

vperson = 0.80 m/s + vboat

vperson = 0.80 m/s + (56/230) * (0.80 m/s + vperson)

(174/115) * vperson = (504/115) * m/s

Dividing both sides by (174/115), we get:

vperson = 2.896 m/s

vboat = (56/230) * (0.80 m/s + vperson)

Substituting the value of vperson, we get:

vboat = 1.337 m/s

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On a 160-kg boat that is at rest with its bow pointed to the shore, a 70-kg person begins to walk from the bow to the stern at 0.80 m/s relative to the boat. What are the velocities of the boat and the person relative to the shore? Neglect the resistance of water to motion.

The surface area of the prism is 744 cm², the volume of the prism is 624 cm³.

Given:

- Height of the regular quadrilateral prism (h) = 13 cm

- Lateral area of the prism (AL) = 624 cm²

1. Surface Area:

To find the surface area, we need to calculate the area of the two bases and the lateral area of the prism.

The area of each base can be found by dividing the lateral area by the height: A = AL / h = 624 cm² / 13 cm = 48 cm².

Since there are two identical bases, the total base area is 2 times the area of one base, so the total base area is 2 * 48 cm² = 96 cm².

To calculate the surface area, we add the area of the two bases to the lateral area: Surface Area = 2A + AL = 2 * 48 cm² + 624 cm² = 120 cm² + 624 cm² = 744 cm².

Therefore, the surface area of the prism is 744 cm².

2. Volume:

The volume of the prism can be found by multiplying the base area by the height: Volume = A * h = 48 cm² * 13 cm = 624 cm³.

Therefore, the volume of the prism is 624 cm³.

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Answer:

\(P(Red) = \frac{3}{20}\)

Step-by-step explanation:

Given

\(Red = 3\)

\(Trials = 20\)

Required

Determine the experimental probability of next marble being red

This is calculated as:

\(P(Red) = \frac{n(Red)}{Trials}\)

Substitute values for n(Red) and Trials

\(P(Red) = \frac{3}{20}\)

The correct option is D, Surface area of the prism is 502.2 squared cm.

Given that side of the base triangle is 9 cm, height is 7.8 cm and length of the rectangle prism is 9 cm  and the breadth of the rectangle prism is 16 cm.

To find the surface area of the prism by using the formula

A = 2 area of the triangle + 3 area of rectangle.

A = 2 x 1/2 x base of triangle of the prism  x height of triangle of the prism + 3 x base of the rectangle prism x length of the rectangle prism

That implies,

Area (A) = 9 x 7.8 +3 x 9 x 16

Area (A) = 70.2+ 432

Area (A) = 502.2 squared cm.

Hence, the correct option is D, Surface area of the prism is 502.2 squared cm.

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Answer:

Debt is an obligation that requires one party, the debtor, to pay money or other agreed-upon value to another party, the creditor. Debt is a deferred payment, or series of payments, which differentiates it from an immediate purchase.

Step-by-step explanation:

Answer:

7 months. 164 dollars.

Step-by-step explanation:

Club a = 24 + 20x

Club b = 80 +12x

a = b

24 + 20x = 80 +12x

8x = 56

x = 7

7 months before it is the same.

The height of the hexagonal-based pyramid is approximately 101.61 inches.

To find the height of the hexagonal-based pyramid, we can use the formula for the volume of a pyramid:

Volume = (1/3) × Base Area × Height

In this case, the base of the pyramid is a regular hexagon, and we have the side length (s) and apothem (a) given.

The base area of a regular hexagon can be calculated using the formula:

Base Area = (3√3/2) × s²

Let's calculate the base area first:

Base Area = (3√3/2) × (6 in)²

Base Area = (3√3/2) × 36 in²

Base Area ≈ 93.53 in²

Now, we can rearrange the volume formula to solve for the height:

Height = Volume / ((1/3) × Base Area)

Height = 3168 in³ / ((1/3) × 93.53 in²)

Height = 3168 in³ / (31.177 in²)

Height ≈ 101.61 in

Therefore, the height of the hexagonal-based pyramid is approximately 101.61 inches.

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The possible set of inequalities are;

x = -3,

x = -1,

x = 1,

x = 3,

x = 5.

Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.

We use these symbols to represent inequalities, '>' , '<', '≥', '≤'

The critical points of a rational inequality are the x-values at which the inequality changes direction (from "<" to ">" or vice versa). In this case, the critical points are -1, 3, and 4.

To find the complete solution to the inequality, we need to test points on either side of the critical points. For example, if we test a value less than -1, such as -2, and find that it satisfies the inequality, then all values less than -1 also satisfy the inequality. On the other hand, if a value less than -1 does not satisfy the inequality, then no values less than -1 satisfy the inequality.

Therefore, a complete solution to the inequality can be found by testing values around each critical point. A common set of points to test for this purpose is the critical points themselves, and values just less than and just greater than each critical point.

So, a possible set of points to test to find the complete solution to the inequality is:

x = -3,

x = -1,

x = 1,

x = 3,

x = 5.

These points bracket the critical values and allow us to determine which intervals of values satisfy the inequality.

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The vector form is x - y +z = 0

Standard equation

The standard form of a linear equation is Ax + By=C. To change an equation written in slope-intercept form (y = mx + b) to standard form, you must get the x and y on the same side of the equal sign and the constant on the other side.

The vector form of the equation of the line in that passes through origin and is perpendicular to the plane with general point [1,1,1].

The standard equation is of the form, Ax + By + Cz = 0

The equation of the plane that passes through the origin(0, 0, 0)  and is perpendicular to [1,1,1] is

A = 1, B = 1, C = 1

x = y = z = 0 (at origin)

A(x-0) + B(y-0) + C(z-0) = 0

(x - 0) -1(y-0) + 1(z-0) = 0

x - y +z = 0.

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Answer:

------------------

Simplify in below steps:

The table of integrals can be a useful tool for simplifying the integration process, but it's important to have a solid understanding of calculus concepts in order to use it effectively.

The table of integrals is a tool used in calculus to simplify the process of finding antiderivatives. It lists various functions and their corresponding antiderivatives, or integrals.

To use the table of integrals, you first need to identify the function you are trying to integrate. Then, find a similar function in the table and use the corresponding antiderivative to solve your integral.

It's important to note that not all functions have a corresponding antiderivative listed in the table, and in those cases, other integration techniques must be used.

Additionally, it's always a good idea to double check your work and make sure the answer makes sense in the context of the original problem.

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If we use the table of integrals, the solution would be In | tan(x+7) + sec(x+7)|+C. Option A

Using the table of integral, we say

∫ (1/cos(x +7)) dx ⇒ ∫sec (x+7) dx

u = x+7   ⇒ du = dx

= ∫sec (u) du

Expand the fraction by tan (u) + sec (u)

= ∫(sec(u) (tan(u) + sec (u))/ tan (u) + sec (u)

= ∫((sec(u) tan(u) + sec²(u))/ (tan (u) + sec (u))) du

Substitute v= tan(u) + sec (u) ⇒ dv = (sec(u) tan(u) + sec²(u))du

= ∫(i/v)dv

= In(v)

Undo substitution v = tan(u) + sec(u)

=In(tan(u) + sec(u))

= In(tan(x+7) + sec(x +7))

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The 95% confidence interval is (22.8876, 49.1124)..

To find the 95% confidence interval for the difference in means between two populations, we can use the formula:

CI = (x1 - x2) ± z*(SE)

where x1 and x2 are the sample means of the two populations, SE is the standard error, z is the critical value from the standard normal distribution corresponding to the level of confidence.

Substituting the given values into the formula, we have:

CI = (264 - 228) ± 1.96*(6.69)

Simplifying this expression, we have:

CI = 36 ± 13.1124

Therefore, the 95% confidence interval for the difference in means between the two populations is (22.8876, 49.1124).

This means that we are 95% confident that the true population difference in means falls between 22.8876 and 49.1124. We can interpret this interval as a range of plausible values for the population difference in means, based on the sample data.

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The expression tan(arcsec(x/3)) can be written   \(1/3 \sqrt{x^2-9}\)  in algebraic form.

The inverse secant function, or arcsecant, is defined as the inverse of the secant function, which is the ratio of the length of the hypotenuse of a right triangle to the length of the adjacent side. Given x/3 as the length of the adjacent side, arcsec(x/3) is the measure of the angle that has a secant equal to x/3.

The tangent function is the ratio of the length of the opposite side of a right triangle to the length of the adjacent side. By substituting arcsec(x/3) as the measure of the angle in a right triangle, we can use the tangent function to find the ratio of the lengths of the opposite and adjacent sides, which is equal to \(1/3 \sqrt{x^2-9}\).

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Answer: \(\frac{25\pi}{4}\)

Step-by-step explanation:

The area of the entire circle is \(\pi(5^2)=25\pi\).

The area of a quarter of the circle is thus \(\frac{25\pi}{4}\)

Solution

Given

Hence, the correct option is D

The experimental probability that the next spin falls in a black region is given as follows:

0.205 = 20.5%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

205 out of the previous 1000 trials fell in the black region, hence the experimental probability is given as follows:

p = 205/1000

p = 0.205.

p = 20.5%.

The problem asks for the experimental probability that the next spin falls in a black region.

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Answer:The probability of selecting 12 males is 7/ 1337220

Step-by-step explanation:

I searched it up and saw an answer not my work tho so here there https://brainly.com/question/17075596 for more information

Answer:  Approximately 0.00000005752462

There are seven "0"s between the decimal point and the "5".

Round that value however you need to.

If you need the exact answer as a fraction, then it would be \(\frac{1}{17,383,860}\) and you may need to delete the commas if necessary.

=========================================================

Explanation:

We use the nCr combination formula to determine how many ways there are to form a jury if we had n = 27 people and r = 12 slots.

\(n C r = \frac{n!}{r!(n-r)!}\\\\27 C 12 = \frac{27!}{12!*(27-12)!}\\\\27 C 12 = \frac{27!}{12!*15!}\\\\27 C 12 = \frac{27*26*25*24*23*22*21*20*19*18*17*16*15!}{12!*15!}\\\\ 27 C 12 = \frac{27*26*25*24*23*22*21*20*19*18*17*16}{12!}\\\\ 27 C 12 = \frac{27*26*25*24*23*22*21*20*19*18*17*16}{12*11*10*9*8*7*6*5*4*3*2*1}\\\\27 C 12 = \frac{8,326,896,754,176,000}{479,001,600}\\\\ 27 C 12 = 17,383,860\\\\\)

There are a little over 17 million ways to form the jury. This is where order doesn't matter because no juror outranks any other (and there aren't any special positions).

Since there are 12 men and 12 spots on the jury, there's only one way to have a jury of all men.

The probability of getting a jury of all men is roughly

\(\frac{1}{17,383,860} \approx 0.00000005752462\)

which is an incredibly small probability. There are seven "0"s between the decimal point and the "5"

We have the following general rule for the substraction of fractions:

then, in this case we have the following:

simplifying, we get:

therefore, the result of the substraction is 7/15

0.9976 percent of the time, the automobile won't start immediately away.

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range, while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center of the range.

Given that,

X = number of morning car starts right away

X          0            1            2             3               4              5

p(x)  0.0024   0.0283   0.1323   0.3087    0.3601    0.1681

So now we are able to find the given probability

p(x ≥ 1) = 1 - p(0)

1 - 0.024 = 0.9976

Here we used complementary rule to find the answer

p(A') = 1 - p(A)

Therefore, the probability that the car does not start right away is 0.9976.

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The restaurant chain paid $625,000 for the physical property and $2,500,000 for the franchise naming rights, for a total purchase price of $1,250,000.

Sale refers to the transfer of ownership of goods or services from one person to another in exchange for money or other consideration.

The total purchase price of the franchise naming rights and physical property was $1,250,000.

To calculate the amount paid for each individual element of the sale, the total purchase price must be divided by the two elements.

The total purchase price of $1,250,000 divided by two elements equals $625,000.

This means that the restaurant chain paid $625,000 for the franchise naming rights and $625,000 for the physical property.

The amount of money paid for the franchise naming rights (four times the cost of buying the physical property) can be calculated by multiplying the cost of the physical property, which is

$625,000/4 .

When the cost of the physical property is multiplied by four, the result is $2,500,000.

This means that the restaurant chain paid $2,500,000 for the franchise naming rights.

In summary, the restaurant chain paid $625,000 for the physical property and $2,500,000 for the franchise naming rights, for a total purchase price of $1,250,000.

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Answer:

16

Step-by-step explanation:

Number of male dog in Kennel are 15 dogs

Given that;

Total number of dogs = 24 dogs

Ratio of male dog = 5/8

Find:

Number of male dog in Kennel

Computation:

According to the question;

Number of male dog in Kennel = Total number of dogs × Ratio of male dog

Number of male dog in Kennel = 24 × [5/8]

Number of male dog in Kennel = 3 × 5

Number of male dog in Kennel = 15 dogs

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Answer:

Step-by-step explanation:

3.9

Answer:

S: {11}

Step-by-step explanation:

Hello!

Solve the inequality for n by isolating the variable.

The solution for n is all values less than 14, so 11 would work.

Answer:

Step-by-step explanation:

Based on the information provided, the residual plot makes sense based on the scatter plot.

In the given scatter plot, the points are plotted with horsepower on the x-axis and observed MPG (miles per gallon) on the y-axis. The scatter plot shows the relationship between horsepower and MPG for the motorcycles.

The residual plot, on the other hand, shows the differences between the observed MPG values and the predicted MPG values based on the regression line or model. Residuals represent the vertical distances between the observed data points and the regression line.

Looking at the residual plot, we can see that the residuals are scattered randomly around the zero line. Some residuals are positive, while others are negative, indicating that the observed MPG values deviate both above and below the predicted MPG values.

Given this information, option A is the correct answer: "The random residual plot makes sense because the scatter plot appears to have a linear relationship." The scatter plot does not necessarily suggest a positive or negative relationship between horsepower and MPG. It simply shows the general trend or pattern. The random distribution of residuals in the residual plot indicates that the regression model is capturing the relationship adequately, and the variations or deviations from the regression line are random, which is expected in a good regression model.

The residual plot created by Jorge does make sense as it reflects the negative relationship between horsepower and miles per gallon present in the original scatter plot. As the horsepower increases, the miles per gallon decreases which is depicted accurately in the residual plot made.

The best answer for this is B. The random residual plot makes sense because the scatter plot appears to have a negative relationship. A residual plot is a graph that is used to examine the goodness of fit in regression and ANOVA analysis. It is the differences between the observed and predicted values of data. The points in a residual plot are randomly dispersed around a horizontal axis if the corresponding regression model is appropriate for the data.

In this case, the scatter plot demonstrates a negative relationship between the horsepower of motorcycles and miles per gallon. As the horsepower increases, the miles per gallon decrease. This negative relationship is reflected in the pattern of residuals, which fluctuates around the zero line on the y-axis of the residual plot. Consequently, the random distribution of residuals on Jorge's plot does make sense given the scatter plot data.

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Answer:

Below

Step-by-step explanation:

A cube has SIX sides of equal area

  each side has area = L x W       and L and W are the same = 4.5 m

      so:   Area =   six   X   ( 4.5  X 4.5)  =   6 * 4.5 * 4.5 = 121.5 m^2

Answer:

Hope the picture will help you...

Relative to the mean, there are some school districts where many students are using ipads.

What is called the mean?

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. It is sometimes referred to as the "average" and is the most widely used central tendency metric.

Simply dividing the total number of values in a data set by the sum of all of the values yields it. The calculation can be performed on unprocessed data or data that has been combined into a frequency table.

By dividing the sum of the given numbers by the entire number of numbers, the mean—the average of the given numbers—is determined.

Mean: The "average" number; found by adding all data points and dividing by the number of data points. Example: The mean of 4, 1, and 7 is ( 4 + 1 + 7 ) / 3 = 12 / 3 = 4 (4+1+7)/3 = 12/3 = 4 (4+1+7)/3=12/3=4left parenthesis, 4, plus, 1, plus, 7, right parenthesis, slash, 3, equals, 12, slash, 3, equals, 4.

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Answer: The answer to this math question are given the following answers to this math question about finding the percent of a number with the given number and a percentage of a number, so anyway, here are 5 following answers:

1). 18

2). 36

3). 10

4). 12

5). 6

Step-by-step explanation: I'm sorry about that, but I don't have any step-by-step explanation for the math question about finding the percent of a number with the given number and a percentage of a number, so anyways, I hope that my short given answer without the step-by-step explanation is very helpful to your own math question about finding the percent of a number with the given number and a percentage of a number, please mark me as Brainliest, take care, always be safe, and have a great rest of the day and good night! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

Answer:

i d k

Step-by-step explanation:

Answer:

When you multiply or divide each side by 2, the signs stay the same. −16 < 4 and −4 < 1. When you multiply or divide by −2, the inequality sign reversed. 16 > −4 and 4 > −1.