Find the slope of the line graphed below

Answer:

the fifth answer is the right one

Therefore, the circumference of the triangle is 2r, which is equal to the diameter of the circle.

To find the circumference of the triangle, we need to first find the lengths of its sides. Let the three sides be x, y, and z, such that x:y:z is the given ratio. Without loss of generality, we can assume that x is the shortest side.

Let k be a constant such that y = kx and z = lx, where k and l are constants. Then, we have:

x + kx + lx = 2r

Simplifying this equation, we get:

x(1 + k + l) = 2r

So, we have:

x = (2r)/(1 + k + l)

y = kx = k(2r)/(1 + k + l)

z = lx = l(2r)/(1 + k + l)

The circumference of the triangle is the sum of its three sides:

C = x + y + z

Substituting the expressions for x, y, and z, we get:

C = (2r)/(1 + k + l) + k(2r)/(1 + k + l) + l(2r)/(1 + k + l)

Simplifying this expression, we get:

C = (2r(1 + k + l))/(1 + k + l)

C = 2r

Therefore, the circumference of the triangle is 2r, which is equal to the diameter of the circle.

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The area of the triangle is equal to A) 8.64. The Correct option is A) 8.64.

Let the lengths of the triangle be, 3x,4x,5x

Square of largest side = \(25x^{2}\)

Sum of square of other sides = \(3x^{2} + 4x^{2} = 25x^{2}\)

It is a right-angled triangle because the square of the greatest side equals the sum of the squares of the other sides.

The circumference of a right-angled triangle has a diameter equal to its hypotenuse.

hence, 5x=6 or x= \(\frac{6}{5}\)

Now, two perpendicular sides are then,  \(\frac{18 }{5} , \frac{24}{5}\)

\(Area = \frac{1}{2} \times \frac{18}{5} \times \frac{24}{5} = 8.64\)

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Question

A triangle with side lengths in the ratio 3 : 4 : 5 is inscribed in a circle of radius 3. The area of the triangle is equal to

A. 8.64

B. 12

C. 6

D. 10.5

Answer:

1

Step-by-step explanation:

because when April stops exercise the calories burnt will reduce

Answer:

it's Time spent exercising.

Step-by-step explanation:

Time spent exercising does not rely on calories burned for its value to change. However, the time spent exercising will determine how many calories are burned. This shows that calories burned is dependent on time spent exercising while time spent exercising is an independent variable.

Answer:

-160

Step-by-step explanation:

Answer:

3.33 hours

Step-by-step explanation:

Take the total bill minus the flat charge. ($300 - $50 = $250)

Then take that amount and divide by the charge per hour.

($250/$75) = 3.33 hours

Answer:

x = 3 1/3 so approximately 3 hrs

Step-by-step explanation:

50 + 75x = 300

75x = 250

x = 3 1/3

Answer:

If the roots of any equation are equal then it means that their Discriminant = 0

So, b²-4ac = 0

We have given the equation 2x² + kx + 2, where,

a = 2

b = k (we have to find the value)

c = 2

Then, b²-4ac=0

b² - 4(2)(2) = 0

b² - 16 = 0

b² = 16

√16 = 4

Hence the vue of k is 4.

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Step-by-step explanation:

hope it helps you ( ◠‿◠ )

The series converges absolutely. The ratio test states that if the limit as n approaches infinity of the absolute value of the ratio of the (n+1)th term to the nth term is less than 1, then the series converges absolutely.

If the limit is greater than 1, the series diverges. If the limit is equal to 1, then the test is inconclusive and another test must be used. For the given series 3n/(2n)!, the ratio of successive terms is (3(n+1)/(2(n+1))!) / (3n/(2n)!) = 3(n+1)/(2n+2)(2n+1). Simplifying this gives the ratio as 3/((2n+2)/(n+1)(2n+1)).

Taking the limit as n approaches infinity, we get that the ratio approaches 0. Therefore, the series converges absolutely.

When n=7, the ratio of successive terms is 30/1176, or 5/196.

Taking the limit of this ratio as n approaches infinity, we get that it approaches 0. Therefore, the series converges absolutely.

By the ratio test, we have determined that the series 3n/(2n)! converges.

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Answer: See the attached image.

I've rearranged the tiles in the proper order

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

Explanation

For step 2, we rewrite each expression in terms of sines and/or cosines. For instance, tan = sin/cos.

In step 3, we focus on the stuff in the numerator only. So we focus on sin/cos+cos/sin. In this step, we multiply top and bottom of the first fraction by sine. We multiply top and bottom of the second fraction by cos. These steps are done to get the LCD.

In step 4, we are able to add the fractions because both fractions have the same denominator.

In step 5, we use the pythagorean trig identity sin^2+cos^2 = 1.

In step 6, we use the idea that (A/B) divide by (C/D) = (A/B)*(D/C).

Answer:

Step-by-step explanation:

2.b=90

1.30

Answer:

Step-by-step explanation:

6. You're gonna use Cos to find Y

Cos = adj/hyp

Cos 27 = 10/y

10/cos27 = y

11.2 = y

7. It'll help immensily if you draw this one out.

You're gonna use Sin to find the angle.

Sin = opp/hyp

Sin 65 = 14/x

14/sin65 = x

15.4 = x

With the help of given table of data of travelling time to work for 50 people, the estimated mean travelling time is 24.8 minutes.

To estimate the mean travelling time from the given frequency table, we can use the midpoint method, where we calculate the midpoint of each class interval and multiply it by the frequency of that interval. We then sum up the products and divide by the total frequency to get the estimate of the mean travelling time. The midpoint of each interval can be calculated as the average of the lower and upper bounds of the interval. Using this method, we get:

Class interval 0 < t < 10 | 10 < t < 20 |  20 < t < 30 | 30 < t < 40 |  40 < t < 50

Midpoint (m)    5                     15               25                 35                  45

Frequency (f)    5                    15               13                  10                   7

Midpoint x Frequency 25      225            325               350               315

Total | | 50 | 1240

To estimate the mean travelling time, we can now calculate the sum of the products of the midpoint and frequency for each interval, which is 1240. We then divide this by the total frequency, which is 50. Therefore, the estimate of the mean travelling time for these 50 people is: Mean  travelling time = Sum of (midpoint x frequency) / Total frequency

Mean travelling time = 1240 / 50 = 24.8

Thus, the estimated mean travelling time is 24.8 minutes.

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Complete Question

The table shows the travelling time to work of 50 people.

-Travelling time (t)  in minutes- -Frequency-

0 <t<10                                           5

10 < t < 20                                     15  

20 < t < 30                                    13

30 < t < 40                                    10

40 < t < 50                                    7

Calculate an estimate of the mean travelling time

Answer:

In the diagram, the obtuse isosceles is what you need.

For your problem, the angle F is the vertex angle B

The base angles A and Z go on both sides.

Step-by-step explanation:

Answer:

Do 100 divided by how many people there are in total

Step-by-step explanation:

#PlatoGang

Answer: y=6x+30

Step-by-step explanation:

Answer:30x

Step-by-step explanation:

Answer: 6,500 feet MSL

Step-by-step explanation:

I don't think any options you provide have the correct answer! It should be 6,500 feet MSL

The condition that has not been met for conducting a z-test for a proportion is (b) The sample size is less than 10% of the population size.

In order to conduct a z-test for a proportion, certain conditions need to be met. The first condition is that the data should be a random sample from the population of interest (condition a), which has been met in this case as the students entering the room can be considered a random sample of the statistics class.

The third condition is that the product of the population proportion (p) and the sample size (n) should be greater than or equal to 10, and the product of the complement of the population proportion (1-p) and the sample size (n) should also be greater than or equal to 10 (condition c). However, the second condition (b) has not been met in this scenario. The sample size of 5 students is not less than 10% of the population size, which is 30.

Therefore, the sample size is not large enough to meet this condition. Consequently, the correct answer is (e) More than one condition is violated, as the other conditions are still satisfied.

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The required value of the function is 2

In the case of a function from one set to the other, each element of X receives exactly one element of Y.

The given function is of the form :

g(x) = - x² - 7

Now let us find the required values.

g (-3) = - (-3)² - 7 = 2

g (-2) = - (-2)² - 7 = -3

g (1 ) = - ( -1 )² - 7 = -6

Hence the required value of the function is 2 at x = -3 .

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Answer:

hope this will help you

Step-by-step explanation:

if it doesn't mention me

The biconditional statements are An isosceles triangle has legs of equal length if and only if it has two sides of equal length.

A puzzle made up of seven pieces is a tangram if and only if it originates from China.

A parallelogram with four right angles is a rectangle if and only if it has two pairs of opposite sides of equal length.

A biconditional statement is a statement combing a conditional statement with its converse.

1. in an isosceles triangle, the legs are of equal length

An isosceles triangle has legs of equal length if and only if it has two sides of equal length.

2.

A tangram is a Chinese puzzle made up of seven pieces.

A puzzle made up of seven pieces is a tangram if and only if it originates from China.

3.

A rectangle is a parallelogram that has four right angles.​

A parallelogram with four right angles is a rectangle if and only if it has two pairs of opposite sides of equal length.

Hence, the biconditional statements are An isosceles triangle has legs of equal length if and only if it has two sides of equal length.

A puzzle made up of seven pieces is a tangram if and only if it originates from China.

A parallelogram with four right angles is a rectangle if and only if it has two pairs of opposite sides of equal length.

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If the median of the given data is 12, then we need to arrange the numbers in ascending order:

Since the median is the middle value when the data is arranged in ascending order, v must be a number between 4 and 12 (exclusive) in order to maintain the median as 12.

Therefore, v could be any number greater than 4 and less than 12.

The next three number in the pattern is - 64, +16 and -4

A number pattern is an ordered set of numbers or diagrams that follow a particular rule.

Let's find the rule in the pattern as follows:

The first term is + 4096. This is same as 2¹².

The second term is - 1024. This is same as 2¹⁰. Note the sign changed.

The third term is +256. This is same as 2⁸. The sign change also.

From the pattern we notice the exponential reduced by 2 and sign changes.

Therefore, the next three terms in the pattern are as follows;

The full pattern is as follows:

+ 4096,  - 1024, +256, - 64, +16, -4

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Answer:144n Cubic units

Step-by-step explanation:

The volume of a prism is given by V = Bh, where B is the area of the base and h is the height of the prism. The volume of a cylinder is given by V = πr^2h, where r is the radius of the cylinder and h is its height. Since the prism and the cylinder have the same base area, we know that B = 247 square units for both shapes. We are given that the volume of the prism is 144π cubic units. We can use this information to solve for the height of the prism:

V = Bh

144π = 247h

h = 144π/247

Now we can use the height of the prism to find the radius of the cylinder, since the height of the cylinder is the same:

V = πr^2h

V = πr^2(144π/247)

V = (144π^2/247)r^2

We can now solve for the volume of the cylinder by substituting the given value of the prism's volume and solving for r^2:

144π = (144π^2/247)r^2

r^2 = 247/π

Finally, we can use this value of r^2 to find the volume of the cylinder:

V = πr^2h

V = π(247/π)(144π/247)

V = 144π

Therefore, the volume of the cylinder is 144π cubic units.

Answer:

\(2pqr =2 (3)(5)(7) = 210\)

Answer:

210

Step-by-step explanation:

Substitute the values for their respective variables.

\(2pqr\\2(3)(5)(7)\\210\)

The chi-square test of independence is typically used to analyze the relationship between two variables when both variables are nominal, the two variables have been measured on different individuals and the observations on each variable are within-subjects in nature. The answer is  D. all of the above

The chi-square test of independence is a statistical test that is used to determine if there is a significant association between two categorical variables. It is commonly used when both variables are nominal, meaning they consist of categories or groups rather than numerical values.

When conducting the chi-square test of independence, the data is typically collected by measuring the two variables on different individuals or units.

For example, researchers may collect data on the gender (nominal variable) and political affiliation (nominal variable) of different individuals and analyze whether there is a relationship between the two variables.

The test examines the observed frequencies of the different categories in a contingency table and compares them to the expected frequencies under the assumption of independence. If the observed and expected frequencies significantly differ, it suggests that there is an association between the two variables.

Therefore, the chi-square test of independence is applicable when both variables are nominal and the data is collected on different individuals. This allows researchers to investigate the relationship between the variables and determine if they are associated or independent.

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Answer:

I think the answer is -4

Hi there! Hopefully this helps!

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

\((4-2)^{3} -3\times 4\)

First we subtract 2 from 4 to get 2.

\(2^{3} -3\times 4\)

Next we calculate 2 to the power of 3 and get 8.

\(8-3\times 4\)

Then we multiply 3 and 4 to get 12.

\(8-12\)

Lastly we Subtract 12 from 8 to get −4.

To differentiate implicitly \(d^2y/dx^2 = (1/\sqrt(x^2-5)) - (x^2/(x^2-5)^{(3/2)})\)

To differentiate implicitly, we take the derivative of both sides of the equation with respect to x using the chain rule:

\(d/dx (x^2 - y^2) = d/dx (5)\)

For the left-hand side, we have:

\(d/dx (x^2 - y^2) = d/dx (x^2) - d/dx (y^2)\)

\(= 2x - 2y dy/dx\)

For the right-hand side, we have:

\(d/dx (5) = 0\)

Substituting these into the original equation, we get:

\(2x - 2y dy/dx = 0\)

To solve for dy/dx, we isolate the term involving dy/dx:

\(2y dy/dx = 2x\)

\(dy/dx = 2x / 2y\)

\(= x / y\)

The implicit derivative of the given equation is:

\(dy/dx = x / y.\)

To find\(d^2y/dx^2\), we differentiate again with respect to x using the quotient rule:

\(d/dx (dy/dx) = d/dx (x/y)\)

\(= (1/y) d/dx (x) - (x/y^2) d/dx (y)\)

The implicit derivative we found earlier, we can substitute.\(y^2 = x^2 - 5\) into the equation to obtain:

\(d/dx (dy/dx) = (1/y) - (x/y^2) dy/dx\)

\(= (1/y) - (x/y^2) (x/y)\)

\(= (1/y) - (x^2/y^3)\)

Substituting y² = x² - 5, we get:

\(d^2y/dx^2 = (1/\sqrt(x^2-5)) - (x^2/(x^2-5)^{(3/2)})\)

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Answer:

3/4 books per month

Step-by-step explanation:

12/16=3/4

So she reads 3/4 of a book each month

The angle is 25 degrees

Let the measure of the angle be x

So, we have

Complement = 90 - x

Supplement = 180 - x

The sum is 220

So, we have

90 - x + 180 - x= 220

Evaluate the sum

-2x + 270 = 220

Solve for x

x = 25

Hence, the angle is 25 degrees

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Solution

Firstly, we will find the third angles of both triangles,

The sum of angles in a triangle is 180 degrees.

If we know that two angles of one triangle are 112° and 39°

Let the third angle be x

The third angle is 29 degrees

And two angles of another triangle are 39° and 29°

Let the third angle be y

The third angle is 112 degrees

Two triangles are similar if their corresponding angles are equal.

Since, their corresponding angles are equal

Hence, then the two triangles must be similar (option d)