what is the missing length of a right triangle have 18 in and 30 in​

The required area of the lune is (D) √3/4 - π/24.

The measurement that expresses the size of a region on a flat or curved surface is termed area.

Surface refers to the area of a surface or the boundary of a tri structure, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

So,

The lune's area is equal to the smaller semicircle's area minus the segment's area.

The area of the segment is equal to the sum of the areas of the sector and the triangle formed by the intersection points and the larger semicircle's center.

Additionally, because all of the sides are one unit, the triangle thus constructed is an equilateral triangle.

Area of the lune = π * 1/8 (60/360 * π * 1² - √3/4 * 1²)

Area of the lune = π/8 - π/6 + √3/4

= √3/4 - π/24

Therefore, the required area of the lune is (D) √3/4 - π/24.

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Answer:

162

Step-by-step explanation:

54 * 3 = 162

hope it's helpful

Answer:

162

Step-by-step explanation:

54 x 3 = 162

54+ 54+ 54= 162

Answer:

6

Step-by-step explanation:

52+52=104
104/7=14.8

7*14=98
104-98=6

Answer:

F(-x) = 0

Step-by-step explanation:

What is F(-x)?

F(-x) = F(-1)

F(x) = x³ + 1                              F(-1)

F(-1) = -1³ + 1

F(-1) = -1 + 1

F(-1) = 0

So, F(-x) = 0

Answer:

f(-1) = 0

Step-by-step explanation:

Evaluating a function for f(-x) is the same as evaluating it for f(-1).

So we plug in -1 instead.

f(-1) = x³ + 1  

      = (-1)³ + 1 (here we cube -1)

      = -1 + 1     (here we subtract)

      = 0           (and, this is the answer)

\(\therefore\) The answer is f(-1) = 0

Answer:

The length of the three sides \(5, \sqrt{58} , \sqrt{65}\)

The triangle is not a right triangle

Step-by-step explanation:

A = (3, 2) , B = ( 6, 9) , C = (10, 6)

Find the lengths using distance formula.

\(distance = \sqrt{(x_2 -x_1)^2 + (y_2 - y_1)^2}\)

\(AB = \sqrt{(6-3)^2 + (9-2)^2} = \sqrt{9 + 49 } = \sqrt{58}\)

\(BC = \sqrt{(10-6)^2 + (6-9)^2} = \sqrt{16 + 9} = \sqrt{25} = 5\)

\(AC = \sqrt{(3-10)^2+(2-6)^2} = \sqrt{49 + 16} = \sqrt{65}\)

Using Pythagoras theorem :

\((Longer \ side)^2 = sum \ of \ square \ of \ two \ other \ sides\)

Longest side is AC . So we will check if it satisfies Pythagoras theorem :

\(\sqrt{65} = \sqrt{58} + 5^2\\65 = 58 + 25\\\)

65 ≠ 58 + 25

So the sides does not satisfy Pythagoras theorem. Hence the triangle is not a right triangle.

Consequently, there are 5 elements in A B'.

Given the following definitions:

U = {1, 2, 3, 4, 5, 6, 7}A = {1, 2, 4, 5}B = {1, 3, 5, 7}

The complement of a set B is the set of all elements that belong to the universal set U but not to B.

A’ = {x | x ∈ U and x ∉ A} = {3, 6, 7}B’ = {x | x ∈ U and x ∉ B} = {2, 4, 6}

The union of sets A and B is the set of all elements that belong to set A or set B, or both.

A ∪ B = {x | x ∈ A or x ∈ B}

= {1, 2, 3, 4, 5, 7}A ∪ B'

= {x | x ∈ A or x ∈ B’}

= {1, 2, 4, 5, 6}

Therefore, the number of elements in A ∪ B' is 5.

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It asks for partial derivative, and you have to derive it with respect to 'y' variable.

\(f_y(x,y)=\frac{\partial f}{\partial y}=\frac{\partial}{\partial y}( 6x+2y+4)=2\)

The function f(x) = \(-2(x+4)^2\) + 1 has a greater maximum.

1. The given function is f(x) = \(-2(x+4)^2\) + 1.

2. To find the maximum of the function, we need to determine the vertex of the parabola.

3. The vertex form of a quadratic function is given by f(x) = \(a(x-h)^2\) + k, where (h, k) represents the vertex.

4. Comparing the given function to the vertex form, we see that a = -2, h = -4, and k = 1.

5. The x-coordinate of the vertex is given by h = -4.

6. To find the y-coordinate of the vertex, substitute the x-coordinate into the function: f(-4) = \(-2(-4+4)^2\) + 1 = \(-2(0)^2\) + 1 = 1.

7. Therefore, the vertex of the function is (-4, 1), which represents the maximum point.

8. Comparing this maximum point to the information provided about the other function g(x) on the coordinate plane, we can conclude that the maximum of f(x) = \(-2(x+4)^2\) + 1 is greater than the maximum of g(x).

9. The given information about g(x) is not sufficient to determine its maximum value or specific equation, so a direct comparison is not possible.

10. Hence, the function f(x) =\(-2(x+4)^2\) + 1 has a greater maximum.

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Answer:

Step-by-step explanation:

Let the faster train catches the slower one after x hours.

The distance the trains travel is same:

The distance is:

Answer:

C : x=2

Step-by-step explanation:

Edge 2022

Answer:

Slope is -93/97

Step-by-step explanation:

To find slope subtract the y's and put that answer in top of a fraction. Then subtract the x's and put that on the bottom of the fraction. If its a smaller number on top and bigger number on the bottom, that is a proper fraction. If the bigger number is on top then it is an improper fraction. If it divides evenly, then the answer will just be a whole number (what the questions calls an integer) All these answers can be positive or negative.

***BUT, you have to start the subtractions with the same point!!!

Let's start with (-2, 95) in front, for both subtractions. (But it could be either point, the answer comes out the same)

Subtract y's: 95-2 is 93.

Subtract x's: -2 - 95 is -97

The slope is 93/-97 it is a proper fraction.

We can put the negative sign in front instead of at the bottom, it looks better.(and is the same)

Slope is -93/97

Given data:

The amount Kellen earned in 4.5 hours is $52.92.

The expression for the given statement is,

Thus, Kellen earned $11.76 per hour.

This means that for every 1 sheep on the farm, there are 0.25 horses. To find the total number of horses, we can multiply the number of sheep by 0.25:

\(12 * 0.25 = 3\)

Ratio refers to the quantitative relationship between two or more quantities, expressing the proportion of one quantity to the other(s). It is typically expressed as a fraction, where the numerator represents one quantity, and the denominator represents the other quantity.

For example, the ratio of the number of boys to the number of girls in a class of 30 students might be expressed as 2:3, which means there are 20 girls and 10 boys in the class. Similarly, the ratio of the length to the width of a rectangle might be expressed as 4:3, indicating that the length is four times greater than the width.

The ratio of sheep to horses is 4:1, which means that for every 4 sheep on the farm, there is 1 horse. We can also say that the total ratio of sheep and horses on the farm is 4+1=5.

To express the relationship between the chickens and the sheep, we need to use the fact that there are 32 chickens and 12 sheep on the farm. We can write this as a ratio:

\(chickens : sheep = 32 : 12\)

We can simplify this ratio by dividing both sides by 4:

\(chickens: sheep = 8: 3\)

This means that for every 8 chickens on the farm, there are 3 sheep.

To determine the number of horses on the farm, we can use the fact that the total ratio of sheep and horses is 5. We know that the ratio of sheep to horses is 4:1, so we can write:

\(sheep : horses = 4 : 1\)

We can simplify this ratio by dividing both sides by 4:

\(sheep : horses = 1 : 0.25\)

This means that for every 1 sheep on the farm, there are 0.25 horses. To find the total number of horses, we can multiply the number of sheep by 0.25:

\(12 * 0.25 = 3\)

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The statement that completes the blank is (c) the null hypothesis is true.

In sampling techniques, the expected count of a variable is dependent on the null hypothesis.

This means that, if the null hypothesis is true, then the expected count is what is expected to be seen in the sample.

This in other words, means that the complete statement is:

The expected count of females who are not pierced is what we would expect to see in the sample if the null hypothesis is true.

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Answer:

Step-by-step explanation:

y=2x1-

So this is a very simple question.

First, analyze the problem

It says y=2x-1

The answer is +1 or 1 I believe

Someone pls correct me If I'm wrong.

Answer:

,here is the answer

Step-by-step explanation:

here is your answer

Answer: 15.7

Step-by-step explanation:

\(C=\pi d\\\\C=5\pi\)

Using \(\pi=3.14\), we get \(C \approx 5(3.14)=\boxed{15.7 \text{ ft}}\)

\(\triangleright\)Hii! \(\triangleleft\)

___________________________________________________________

Answer: Circumference = 15.7 ft ✅

Step-by-step explanation:

Do you need to know the circumference of a circle with a diameter of 5 ft? No problem! Luckily, there's a formula to find it! (:

Let's work out the circumference. This is the formula that is going to help us. \(\rightsquigarrow\boldsymbol{C=\pi d}\) C=circumference π=pi d=diameter

Now, stick in the values (note that we can use 3.14 for pi; pi is irrational, so we use 3.14 instead of pi to avoid irrational numbers)

\(\boldsymbol{C=3.14\cdot5}\). Upon simplifying we obtain

\(\boldsymbol{C=15.7\;ft}\). Which is our final answer.

------

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Answer:

\( p =\frac{Possible}{Total}\)

Where possible represent the possible cases on this case 5 since we have 5 balls and the total is the size of the sample space on this case 12. And replacing we got:

\( p =\frac{5}{12}= 0.417\)

And rounded to the tenths place we got:

\( p=0.4\)

And the best answer is:

B. 0.4

Step-by-step explanation:

For this case the size of the sampel space is 5+4+3= 12 representing the total of balls used.

We select a random ball from the total and we want to find the probability of selecting a blue ball. And for this case the can use the empirical definition of probability from Laplace given by:

\( p =\frac{Possible}{Total}\)

Where possible represent the possible cases on this case 5 since we have 5 balls and the total is the size of the sample space on this case 12. And replacing we got:

\( p =\frac{5}{12}= 0.417\)

And rounded to the tenths place we got:

\( p=0.4\)

And the best answer is:

B. 0.4

Answer:

? = 3×8/12 = 24/12 = 2

Step-by-step explanation:

Here it is, it is correct.

Answer: (2) /3

Step-by-step explanation:

#1 Way: Solve by a proportion

Let x be the unknown number

Given

8/12=x/3

Cross-multiply

12x=24

x=2

Ans: (2)/3

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

#2 Way: Look at the product between numbers

Given

8/12=?/3

From this, we can see the difference (quotient) between the known value 3 and 12 is 4, meaning 12÷3=4.

Applying the same factor, 8÷4=2

Ans: (2)/3

Hope this helps!! :)

Please let me know if you have any questions

The given differential equation:

y''' − 2y'' + y' = 2 − 24ex + 40e5x,

y(0) = 1/2, y'(0) = 5/2, y''(0) = −11/2

Therefore, the next solution is 13/2

Differential Equation:

In mathematics, a differential equation is an equation relating one or more unknown functions to their derivatives. In applications, functions usually represent physical quantities, derivatives represent rates of change, and differential equations define the relationship between them. These relationships are common.

Now,

Given differential equation is

y''' - 2y'' +y' = 2- 24eˣ +40e⁵ˣ                 ------------ (1)

Auxiliary equation is m³ - 2m² +2m = 0

Now,

   m(m² - 2m +2) = 0

⇒ m(m-1)² = 0

Therefore, m = 0,1,1

Therefore,

\(y_{c} = c_{1}+ c_{2} e^{x} + c_{2}x e^{x}\)

Now, we have to find the particular solution by method of undetermined coefficient.

   \(y'_{y} = a + b(x^{2} e^{x} +2xe^{x} ) +5ce^{x}\)

⇒ \(y''_{p} = a + bx^{2} e^{x} +2bxe^{x} +5ce^{x}\)

⇒ \(y''_{p} = b(x^{2} e^{x} +2xe^{x}) + 2b(ex^{x}+ e^{x} +25ce^{x}\)

⇒ \(y'''_{p} = bx^{2} e^{x} +6bxe^{x} +6be^{x} +125ce^{5x}\)

Putting these values in differential equation (1), we get:

y'''(0) = 13/2

Complete Question:

Solve the given initial-value problem. y''' ? 2y'' + y' = 2 ? 24ex + 40e5x, y(0) = 1 2 , y'(0) = 5/ 2 , y''(0) = ? 13/ 2

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Answer:

-155

Step-by-step explanation:

25-(√16-1)·(3-9)²

25 - (1 * 6 - 1)(3 - 9)^2

(1 * 6 -1)(3 - 9)^2 = 6^2 * 5

25 - 6^2 * 5

5 * 6^2 = 180

25 - 180

= -155

The answer to the given expression 25-(√16-1)·(3-9)² will be -83.

A mixture of variables,n umbers, addition, subtraction, multiplication, and division are called expressions.

A mathematical expression serves as proof that two mathematical expressions are equal.

A statement expressing the equality of two mathematical expressions is known as an equation.

Given,

25-(√16-1)·(3-9)²

Since √16 = 4

⇒ 25-(4-1)·(3-9)²

⇒ 25 - 3(-6)²

⇒ 25 - 3 ×36

⇒ -83

Hence, the answer to the given expression 25-(√16-1)·(3-9)² will be -83.

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First of all, we need to remember thatif you have two rectangles that are similar, it means that thet have a relation of proportion between its sides... We are gonna make a draw:

I drew in blue the rectangle ABCD and in green the rectangle EFGH. Note that I change the ubication of the segments to make it proportional, but it doesn't change the answer.

Now, I make a relation:

Finally, the answer is 15.

The marginal distribution of girls based on the percentages will be 58.3%.

The number for boys is given as:

= 50 + 30 + 45

= 125

The number of females is given as:

= 50 + 80 + 45

= 175

The percentage of females will be:

= 175/(125 + 175) × 100

= 175/300 × 100

= 58.3%

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Answer:

m1=30

m2=41

m3=96

Step-by-step explanation:

m1=180-66-84

m2=180-96-43

m3=180-84

Answer:

54

dcutvihvihvtuutcigciyvihvihvo

Answer:

Step-by-step explanation:

Answer:

340=10*340 calculated

Answer:

340

Step-by-step explanation:

i know math alot

The area of the triangle with the given vertices is 11.5 square units.

The area of a triangle can be calculated using the coordinates of its vertices using the following formula.

To find the area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃), we can use the following formula:

A = (x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂))/2

Using this formula with the given vertices (0, 6), (2, −3), and (3, 4), we get:

A = (0(-3 − 4) + 2(4 − 6) + 3(6 − (-3)))/2

A = (0 - 4 + 27)/2

A = 23/2

A = 11.5

Therefore, the area of the triangle with the given vertices is 11.5 square units.

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