A cylinder has a radius of 2 feet. Its volume is 37.68 cubic feet. What is the height of the cylinder?

Triangle b is a obtuse triangle.

A closed triangle has three vertices, three sides, and three angles. The symbol for a triangle with the three vertices P, Q, and R is PQR. Sandwiches and signboards in the shape of triangles are the most prevalent triangle-shaped objects.

A triangle has an obtuse angle if one of the inner angles is greater than 90 degrees. In an obtuse triangle, if one angle is greater than 90°, the total of the other two angles is also less than 90°.

As the triangle B have one interior angle as 126 degree which is greater than 90

so it follows the property of obtuse triangle

Hence, triangle b is a obtuse triangle.

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Answer:

he needs 9 cans

Step-by-step explanation:

first,

43L/5L

= 8.6 cans

8.6 cans is not logical therefore u need to round up to 9 cans

To calculate the slope between 2 points we use the following equation:

Replacing the points:

In this case, when we find an infinite slope, it means that it is a line parallel to the Y axis. All parallel lines have the same slope.

For the perpendicular case, the slope is equal to:

For the perpendicular case, the slope is zero and would equal one parallel to the X axis.

Answer:

Step-by-step explanation:

The question is asking us to find the slope.

First, we will find the slope of the line that passes through (4,8) and (4,6).

We'll use the slope formula:

\(\bf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)

Plug in the data :

\(\bf{m=\dfrac{6-8}{4-4}}\)

\(\bf{m=\dfrac{-2}{0}}\)

\(\bf{m=not\:de fined}\)

If a line's slope is not defined, then it's a vertical line:

                                       \(\rule{1}{350}\)

------

Now, what is the slope of a line that's parallel to the one above? Well, since parallel lines have equal slopes, that one will have an undefined slope too.

As for perpendicular lines, they have slopes that are negative reciprocals of each other. We got that the slope is -2/0. The negative reciprocal of that is 0/2, which simplifies to 0.

Alternatively, you could look at it this way: a horizontal line (a line with zero slope) is perpendicular to a vertical line. So the slope of that line is m = 0.

\(\rule{350}{1}\)

Answer:

x+1/x-1 +1 / x+1/x-1 -1= x

Answer:

2nd option is the correct answer

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:

The SAS Postulate

Step-by-step explanation:

Because the two triangles only have two sides and one angle, the only real solution is to use the Side Angle Side postulate to find the answer.

The volume of the prism is approximately 55.72 x 150 = 8358 cubic cm.

To find out the volume of the triangular prism, you need to take two steps.Step 1: Determine the volume of the cylinderTo determine the volume of the cylinder, use the formulaVcylinder = πr²hwhere V is the volume of the cylinder, r is the radius of the cylinder and h is the height of the cylinder.    

In this question, we are given that the cylinder has a diameter of 2 cm, which means the radius is 1 cm and the height of the cylinder is not given.Therefore, we cannot directly calculate the volume of the cylinder. However, we are given that the cylinder has drilled through the triangular prism, so we can calculate the volume of the material removed from the prism by the cylinder. This volume will be equal to the volume of the cylinder.Vcylinder = πr²h= π(1 cm)²h= πh cubic cm.Step 2: Determine the volume of the triangular prismWe are given that the triangular prism has a base of 5 cm and a height of 5 cm. The height of the prism is 14 cm.Using the formula for the volume of a triangular prism,Vtriangular prism = 1/2 × base × height × height of prism= 1/2 × 5 cm × 5 cm × 14 cm= 175 cubic cmNow, we know that the volume of the cylinder is equal to the volume of the material removed from the prism by the cylinder.

Therefore,V cylinder = V triangular prism πh = 175 cubic cm π(1 cm)h = 175 cubic cmh = 175/π cmh ≈ 55.72 cubic cm. Therefore, the volume of the prism is approximately 55.72 x 150 = 8358 cubic cm. Answer: 8358.  

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Answer:

0.72

Step-by-step explanation:

hope i helped

pls mark brainliest im trying to level up

Answer:

0.719 rounded to the nearest hundredth is 0.720

Step-by-step explanation:

9 is more than 5, so you round up, and the next hundredth is 2, so you get 0.720.

Hope this helps!!!  Brainliest would be appreciated

Answer:

See below

Step-by-step explanation:

\(2(x+5)-3 =15\)

Using the distributive property in the LHS we get

\(2x+10-3 =15\)

\(2x+7=15\)

Now add -7 both sides. So we have the subtraction property of equality.

\(2x+7+(-7)=15+(-7) \text{ This is what I meant for add}\)  

\(2x+7-7=15-7\)

\(2x=8\)

Now divide both sides by 2. So we have the division property of equality

\(\dfrac{2x}{2} =\dfrac{8}{2}\)

\(x=4\)

To price the derivative using the two-period binomial model, we need to calculate the expected payoff of the derivative using the risk-neutral probabilities.

The possible outcomes for the two-period binomial model are H and T,  there are four possible states of the world: HH, HT, TH, and TT.

To calculate the expected payoff we need to calculate the probability of each state occurring. The probability of HH occurring is pp=0.60.6=0.36, the probability of HT and TH occurring is pq+qp=0.60.4+0.40.6=0.48, and the probability of TT occurring is qq=0.40.4=0.16.

Next, we can calculate the expected payoff in HH and TT states, the derivative pays off 1, and in the HT and TH states, the derivative pays off 0. The expected payoff of the derivative in the HH and TT states is 10.36=0.36, and the expected payoff in the HT and TH states is 00.48=0.

We need to discount the expected payoffs back to time 0 using the risk-neutral probabilities.

The probability of that state occurring multiplied by the discount factor, which is 1/(1+r), where r is the risk-free interest rate.

Since this is a risk-neutral model, the risk-free interest rate is equal to 1. Therefore, the risk-neutral probability of each state occurring is

HH: 0.36/(1+1) = 0.18

HT/TH: 0.48/(1+1) = 0.24

TT: 0.16/(1+1) = 0.08

Finally, we can calculate the price of the derivative

Price = 0.181 + 0.240 + 0.240 + 0.081 = 0.26

Therefore, the price of the derivative is 0.26.

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Answer:

\(f(x) = 1000 {(0.80)}^{x - 1} \)

B is the correct function.

The maximum error in the calculated area of the rectangle is approximately 8.7 square centimeters.

To estimate the maximum error in the calculated area of the rectangle, we can use differentials. The formula for the area of a rectangle is A = length * width.

Given:

Length (L) = 52 cm (with a maximum error of 0.1 cm)

Width (W) = 35 cm (with a maximum error of 0.1 cm)

We want to find the maximum error in the calculated area (dA) when the length and width have a maximum error of 0.1 cm.

Using differentials, we have:

dA = (∂A/∂L) * dL + (∂A/∂W) * dW

Let's calculate the partial derivatives (∂A/∂L) and (∂A/∂W):

∂A/∂L = W (since the width is constant when differentiating with respect to L)

∂A/∂W = L (since the length is constant when differentiating with respect to W)

Substituting the values:

∂A/∂L = 35 cm

∂A/∂W = 52 cm

Now we can calculate the maximum error in the calculated area (dA) using the given maximum errors in length (dL) and width (dW):

dA = (35 cm * 0.1 cm) + (52 cm * 0.1 cm)

dA = 3.5 cm + 5.2 cm

dA = 8.7 cm

Therefore, the maximum error in the calculated area of the rectangle is approximately 8.7 square centimeters.

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Given that a diner serves a stack of potato slices that is 2.8 centimeters tall. The thickness of a potato is 0.35 centimeters.

We have to determine the number of potato slices in the stacks.

The number of potato slices in the stack is given by:

Thus, the number of potato slices in the stack is 8.

The expression representing number of slices of pizza ate by Riley is equal to (2/3 ) of total slices of one small pizza is given by  n = (2/3) × p.

Let us consider 'n' represents the number of slices of pizza Riley eats

Here 'p' represents the total number of slices of one small pizza.

If Riley eats two-thirds (2/3) of a small pizza with p slices,

Then the number of slices of pizza Riley eats can be represented by the expression,

Number of slices of pizza Riley eats  

= ( 2/3 ) × Total number of slices of one small pizza

⇒ n = (2/3) × p

Therefore, the expression represents two-thirds of the total number of slices in the pizza, which is the amount that Riley eats is equal to n = (2/3) × p

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The above question is incomplete, the complete question is:

Riley eats 2/3 of one small pizza with p slices. Enter an expression to represent the number of slices of pizza Riley eats. ​

Option C. An ANOVA examines whether mean differences exist between conditions, whereas a t-test does not is the correct comparison between an ANOVA and a t-test.

What is ANOVA?

ANOVA (Analysis of Variance) is a statistical method that helps to compare three or more means or groups. It is used in behavioral and social sciences research, which determines whether the mean of the dependent variable is significantly different across different levels of an independent variable.

It is used for statistical inference in comparing the means of two or more groups. ANOVA is based on the idea of variance; that is, the variation between the groups' means is compared to the variation within the groups. By assessing the significance of the difference between group means, ANOVA determines whether there is sufficient evidence to conclude that they are not all equal.

What is a t-test?

A t-test is a statistical hypothesis test that compares the means of two independent groups. It is used when the data in each of the groups being compared is normally distributed. The t-test is a parametric test that compares the means of two groups and calculates the standard error of the difference between the means. It compares the difference between the two groups to the variability within each of the groups. The difference between the sample means is examined relative to the variability between the groups. The t-test produces a test statistic that can be compared to a critical value to determine if the means of the two groups differ significantly. It is commonly used to examine if the means of two independent groups are significantly different.

The primary differences between t-test and ANOVA are in terms of the number of groups, and that ANOVA is used for testing the significance of differences between more than two groups while t-tests are used for testing differences between two groups. Hence, ANOVA is used when we want to compare three or more groups, while t-tests are used when we want to compare two groups. Option C. An ANOVA examines whether mean differences exist between conditions, whereas a t-test does not is the correct comparison between an ANOVA and a t-test.

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Answer:

  (x, y) = (4, 3)

Step-by-step explanation:

The first step in solving any math problem is to read and understand what is given and what is asked.

Two linear equations are given, each in standard form. The coefficients of y are the same in the two equations, and both coefficients are 1 in the first equation.

You are asked to "solve" this system of equations. That means you want an (x, y) ordered pair that will satisfy both equations. On a graph, these are the coordinates of the point where the lines cross.

There are many ways to solve a system of linear equations. In this case, the y-coefficients being the same suggests that "elimination" or "linear combination" would be a good choice of solution method.

We note that the coefficients in the second equation are generally larger than those in the first equation. Subtracting the first equation from the second equation will generally leave positive coefficients, making the arithmetic less error-prone.

  (3x +y) -(x +y) = (15) -(7) . . . . . . subtract the first equation from the second

  2x = 8 . . . . . . simplify

  x = 4 . . . . . . divide by 2

Using this value in the first equation, we can find y:

  4 +y = 7

  y = 3 . . . . . . subtract 4

The solution to this pair of equations is (x, y) = (4, 3).

__

Additional comment

A graphical solution is attached.

Either equation can be solved for y, and that expression substituted into the other. Solving the first equation for y gives ...

  y = 7 -x

Substituting that into the second equation, we have ...

  3x +(7 -x) = 15

  2x = 8 . . . . . . . subtract 7

  x = 4 . . . . . . divide by 2

  y = 7-4 = 3

(x, y) = (4, 3) is the solution.

We have shown 3 methods of solving the given system of equations. There are other methods that can be used, too, including matrix methods and methods that make use of arrays of the coefficients.

Step-by-step explanation:

If they are similar, then 10 is to 3      as  x is to 15

10/3 = x/15    multiply both sides by 15

 50 mm = x

Answer:

Step-by-step explanation:

The Domain of the function f(x) = \(\frac{3}{4}\) | x | - 3 is set all real numbers.

The Range of the given function is [ - 3 , ∞ )

Answer:

X=73 that’s just simple.

Step-by-step explanation:

The probability that the average household income of 4 randomly selected US households is greater than $50000, given a right-skewed distribution with a mean of $40000 and a standard deviation of $20000, is approximately 0.1587 or 15.87%.

To calculate the probability that the average household income of 4 randomly selected US households is greater than $50000, we can use the properties of the sampling distribution of the mean.

Given that the US household income distribution is right-skewed with a mean of $40000 and a standard deviation of $20000, we can assume that the individual household incomes are independent and normally distributed.

To find the probability, we need to calculate the z-score for the given threshold of $50000 and then find the corresponding probability using the standard normal distribution.

First, we calculate the standard error of the mean (SEM) using the formula SEM = (standard deviation) / √n, where n is the sample size. In this case, n = 4.

SEM = $20000 / √4 = $10000

Next, we calculate the z-score using the formula z = (x - μ) / SEM, where x is the threshold value ($50000) and μ is the population mean ($40000).

z = ($50000 - $40000) / $10000 = 1

Now, we need to find the probability of obtaining a z-score greater than 1 from the standard normal distribution. This can be done by referring to the z-table or by using a statistical software.

From the z-table or using a software, we find that the probability of obtaining a z-score greater than 1 is approximately 0.1587.

Therefore, the probability that the average household income of 4 randomly selected US households is greater than $50000 is approximately 0.1587, or 15.87%.

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Answer:

Step-by-step explanation:

You want the measures of angles 'g' and 'k' as marked in the diagram.

The relevant angle relations here are ...

Angle g forms a linear pair with the one marked 131°. Its measure is ...

  g° = 180° -131°

  g° = 49°

Angle j° is a vertical angle with respect to angle g°, so has the same measure: 49°.

Together, angles j°, k°, m° total 180°. We also know that m° and the angle marked 125° are a linear pair, so total 180°

  j° +k° +m° = 180° = 125° +m°

  j° +k° = 125° . . . . . . . subtract m°

  k° = 125° -j° = 125° -49°

  k° = 76°

__

Additional comment

You will notice we did not need to know the value of m° in order to find k°. The relation between 125° and the sum f° and k° is described by "an exterior angle to a triangle is equal to the sum of the remote interior angles." Knowing this relation can save a bit of work, as it does here.

You may notice, too, that k° is the difference between the sum of 131° and 125°, and 180°: k° = 131° +125° -180° = 76°.

Other angles are ...

The angles in parallel lines are solved and the values of g and k are

g = 49° and k = 76°

Given data ,

Let the measure of angle ∠g = ∠g

Let the measure of ∠k = ∠k

Now , the measure of ∠m = 180° - 125° ( adjacent angles = 180° )

So , the measure of ∠m = 55°

Now , the measure of ∠g = 180° - 131° ( adjacent angles = 180° )

So , the measure of ∠g = 49°

And , the measure of ∠j = measure of ∠g ( opposite angles are congruent )

So , the measure of ∠j = 49°

And , in triangle , ∠j + ∠m + ∠k = 180°

So , the measure of ∠k = 180° - ( 49° + 55° )

The measure of ∠k = 76°

Hence , the measure of angles are ∠g = 49° and ∠k = 76°

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Answer:

4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(12-8)/(2-1)

m=4/1

m=4

Part A: An open circle on a number line represents an excluded value, indicating that the endpoint is not included in the solution set of the inequality. It is used when the inequality includes the symbols < (less than) or > (greater than), which denote strict inequality.

Part B: A closed circle on a number line represents an included value, indicating that the endpoint is part of the solution set of the inequality. It is used when the inequality includes the symbols ≤ (less than or equal to) or ≥ (greater than or equal to), which denote inclusive inequality.

Part C: The shading on the number line represents the range of values that satisfy the given inequality. It indicates which values make the inequality true. Typically, the shading is done to the right or left of the circle(s) depending on whether the inequality is greater than or less than.

Part A:

For example, if we have the inequality x > 2, we would represent it with an open circle at 2 on the number line. This means that 2 itself is not a valid solution, but any value greater than 2 is included.

Part B:

For example, if we have the inequality x ≥ -3, we would represent it with a closed circle at -3 on the number line. This means that -3 itself is a valid solution, as well as any value greater than or equal to -3.

Part C:

For example, if we have the inequality x > 2, we would shade the portion of the number line to the right of the open circle at 2. The shaded region represents all the values greater than 2 that satisfy the inequality. The shading visually illustrates the solution set and helps identify the range of valid values for the variable in the given inequality.

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Answer:

I'm sure the answer is 34 8/10

Answer: About 0.2 gallons

Step-by-step explanation: 4/18=0.2 repeating, so each person gets about 0.2 gallons.

Each of her friend will get 4 and a half gallons of juice.

Division is one of the four main arithmetical operations by which we find the equal distribution of something.

Given that, At Lara's party, 4 gallon of fruit punch are shared equally among 18 friend.

To find how much each of them got, we will divide total amount of punch  by total number friends

Amount of juice each of them gets, = 18/4 = 4.5

Hence,  Each of her friend will get 4 and a half gallons of juice.

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Answer:

-3 2/3

Step-by-step explanation:

If the number is positive and they are asking for the absolute value it's always going to be negative of the number they are asking you for the absolute value of. Same thing if it was a negative 3 2/3 then the absolute value of -3 2/3 would be positive 3 2/3.

I hope this helped! <3

Answer: 3.66..

Step-by-step explanation: absolute value is the value of the number from the number 0 on the number line so, 3 ⅔ in decimals is 3.66... so the answer is 3.66... because that is how much the number is if you are counting from 0.

Answer:

Answer:

radio waves, microwaves, infrared, visible light, ultraviolet light, X-rays, gamma rays

Explanation:

Electromagnetic waves are oscillations of electric and magnetic fields in a direction perpendicular to the direction of motion of the wave (transverse waves). They are classified into 7 different types, according to their frequencies.

From lowest to highest frequency, we have:

Radio waves

Microwaves

Infrared

Visible light

Ultraviolet

X-rays

Gamma rays

Step-by-step explanation:

i hope this is right :)

Answer:

ummm this doesnt make sense mabey 25

Step-by-step explanation:

Answer:

15t+12r

Step-by-step explanation:

you have to do like term like -8t and-7t that is like term so the next like term is 3r and -9r