Correct the error in finding the area of sector XZY when the area of ⊙Z is 255 square feet.



n/360=115/225



n=162. 35



Round to the nearest tenth.


The area should equal ______ft2.

Answer:

-1/4

1

-1/4

1

Step-by-step explanation:

Slope is obtained thus :

(y2 - y1) / (x2 - x1)

Slope ST :

S(1, 4) ; T(5, 3) ;

x1 = 1, y1 = 4 ; x2 = 5 ; y2 = 3

Slope ST = (3 - 4) / (5 - 1) = - 1 / 4

Slope TU :

T(5, 3) ; U(3, 1)

x1 = 5, y1 = 3 ; x2 = 3 ; y2 = 1

Slope TU = (1 - 3) / (3 - 5) = - 2/ - 2 = 1

Slope UV :

U(3, 1) ; V(-1, 2)

x1 = 3, y1 = 1 ; x2 = - 1 ; y2 = 2

Slope UV = (2 - 1) / (-1 - 3) = 1 /-4 = - 1/4

Slope SV:

S(1, 4) ; V(-1, 2)

x1 = 1, y1 = 4 ; x2 = - 1, y2 = 2

Slope SV = (2 - 4) / (-1 - 1) = - 2 / - 2 = 1

Answer:

The vertex is option C: (-6, -2)

Step-by-step explanation:

The equation for a parabola is y = a(x – h)² + k where h and k are the y and x coordinates of the vertex, respectively. Thus, the vertex is (-6,2)

Pls mark brainliest.

Answer:

Hi there!

Your answer is:

8.6 units

Step-by-step explanation:

The distance formula is

√ ( (x2-x1)^2 + (y2-y1)^2 )

In your points:

A (-3, -2)

-3 is x1

-2 is y1

B (4, -7)

4 is x2

-7 is y2

Plug in to distance formula

√ ( 4-( -3))^2 + ( -7 - (-2))^2

√ (4+3)^2 + (-7+2)^2

√ (7^2) + ( -5)^2

√ 49 + 25

√ 74

This equals roughly 8.6 units!

Answer:

Yes it would

Step-by-step explanation:

Lanie's room is in the shape of a parallelogram.

Lanie has a rectangular rug that is 6 feet wide and 10 feet long.

Area of a rectangle = Length × Width

Area of the rectangular rug = 10 feet × 6 feet

= 60 square feet

We are told that:

The floor of her room is shown below and has an area of 108 square feet.

Hence, the rug would fit on the floor of her room because it's area is within the area of the floor of her room.

This is Right answer....

I hope you understand....

give me Brainliest.....

Thanks....

The rise-over-run formula for the slope of a straight line is the basis of The high - low method.

The high-low method is a way of attempting to separate out fixed and variable costs given a limited amount of data. The high-low method involves taking the highest level of activity and the lowest level of activity and comparing the total costs at each level.

For example, if you have two production periods where you generate 6,000 units and then 2,500 units, those are the highest and lowest activity, respectively.

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a) To solve the upper nonlinear problem using the Kuhn-Tucker conditions, we apply the necessary conditions for optimality, which involve Lagrange multipliers and inequality constraints. b)To solve the problem using GAMS, code needs to be written that represents the objective function and constraints.

To solve the upper nonlinear problem using the Kuhn-Tucker conditions, we apply the necessary conditions for optimality, which involve Lagrange multipliers and inequality constraints. The Kuhn-Tucker conditions are a set of necessary conditions that must be satisfied for a point to be a local optimum of a constrained optimization problem. These conditions involve the gradient of the objective function, the gradients of the inequality constraints, and the values of the Lagrange multipliers associated with the constraints.

In this case, the objective function is given as minz = (y-x)^2 + xy + 2x + 3y, and we have several constraints: x + y = 103, x + y ≥ 16, -x - 3y ≤ -20, x ≥ 0, and y ≥ 0. By using the Kuhn-Tucker conditions, we can set up a system of equations involving the gradients and the Lagrange multipliers, and then solve it to find the optimal values of x and y that minimize the objective function while satisfying the constraints. This method allows us to incorporate both equality and inequality constraints into the optimization problem.

Regarding the second part of the question, to solve the problem using GAMS (General Algebraic Modeling System), GAMS code needs to be written that represents the objective function and constraints. GAMS is a high-level modeling language and optimization solver that allows for efficient modeling and solution of mathematical optimization problems. By inputting the objective function and the constraints into GAMS, the software will solve the problem and provide the optimal values of x and y that minimize the objective function while satisfying the given constraints. GAMS provides a convenient and efficient way to solve complex optimization problems using a variety of optimization algorithms and techniques.

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Answer:

Can you post a picture of the figure?

Answer:

Cookie=0.5, Apple=1.5, sandwich= 3

Step-by-step explanation:

Lets say cookie = x, then sandwich = 6x since sandwich is 6 times more expensive, apple = 3x. function: 6x+3x+x =5

                                                                 10x=5

                                                                    x=0.5

Answer:

The cookie costs $0.50, the apple costs $1.50, and the sandwich costs $3.

Step-by-step explanation:

I multiplied 0.50 by 3 (for the apple) and got 1.50, then I multiplied 0.50 by 6 (for the sandwich) and got 3. I then added them all together and got 5.

Answer:

|5x|=3  

5x=3 or 5x=-3  

divide both side by 5  

x=3/5 or -3/5

Step-by-step explanation:

Answer: X = -3/5

X = 3/5

Step-by-step explanation:

-3=5X=3

5X= -3

X= -3/5

5X = 3

X = 3/5

The correct option is (A) 55.8093 (approximately). i.e The value of f(5) = 55.8093

Given that a differentiable function f(1) = π, and f'x = √(x³) = 6.

To find the value of f(5).

As we know, If f(x) is differentiable at x = a, then f(x) is continuous at x = a.

And, f'(x) = (dy/dx) is the derivative of f(x) at x = a.

Then we have to integrate f'(x) to get f(x).

So we have,f'(x) = √(x³)   ------(1)

Integrating both sides with respect to x, we get,

f(x) = ∫ f'(x) dx

= ∫√(x³) dx

= ∫ x⁽³/²⁾ dx

=(2/5) x⁽⁵/²⁾ + C, where C is a constant of integration.

Using the given condition f(1) = π, we get,

π = f(1) = (2/5) * 1^(5/2) + C or

C = π - (2/5).

Therefore, f(x) = (2/5) x⁽⁵/²⁾ + π - (2/5) = (2/5) (x⁽⁵/²⁾ - 1) + π.

Now putting the value of x = 5, we get,

f(5) = (2/5) (5⁽⁵/²⁾) - 1) + π= 55.8093 (approximately).

Hence, the value of f(5) is 55.8093 (approximately).

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Answer:

GGB

GGG

GBB

GBG

BGG

BGB

BBG

BBB

Any of these has a probability of 1:8, or 1/8, or 0.125, or 12.5%

Step-by-step explanation:

GGB

GGG

GBB

GBG

BGG

BGB

BBG

BBB

Any of these has a probability of 1:8, or 1/8, or 0.125, or 12.5%

Answer:

1.65°

2.115°

3.132°

4.48°

5.67

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Answer:

x + y = 110

Step-by-step explanation:

\(x=\sqrt{(65^{2} - 56^{2} } \\x=33\\\\\\y=\sqrt{(85^2-36^2} \\y=77\\\\x+y=33+77\\x+y=110\)

Answer:

To find RS we have to find x and the use the value of X to solve for RS

Step-by-step explanation:

To find x we have to add RS and ST and equate it RT

\(3x - 16 + 4x - 8 = 60 \\ 3x + 4x - 16 - 8 = 60 \\ 7x - 24 = 60 \\ 7x = 60 + 24 \\ 7x = 84\\ x = \frac{84}{7} \\ x = 12\)

So now that we have found x we can use it to solve for RS

\(rs = 3x - 16 \\ = (3 \times 12) - 16 \\ = 36 - 16 \\ = 20\)

There we go. Hope this helps

Answer:

Step-by-step explanation:

Take the x-value and subtract the amount that you're moving right:

(-4-7) = -11 for the new x-value

Take the y-value and subtract the amount you're moving down:

(2-4)=-2

So the new center is (-11, -2)

A criteria for construction of triangle include the following: B. SAS.

In Mathematics, a triangle can be defined as a two-dimensional (2D) geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.

Generally speaking, the side, angle, side (SAS) criterion is essential for the construction of any triangle such as the following:

Based on the side, angle, side (SAS) criterion, a statement which is necessary to prove that two (2) triangles are congruent is that one of its side must be equal to another side because their angles are equal in measure or magnitude.

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When \(\theta\) terminates in quadrant III, both \(\cos\theta\) and \(\sin\theta\) are negative, and

\(\sin^2\theta+\cos^2\theta=1\implies\cos\theta=-\sqrt{1-\sin^2\theta}=-\dfrac{12}{13}\)

When \(\varphi\) terminates in quadrant II, \(\cos\varphi\) is negative and \(\sin\varphi\) is positive, so

\(1+\tan^2\varphi=\sec^2\varphi\implies\sec\varphi=-\dfrac{17}{15}\)

which gives

\(\cos\varphi=\dfrac1{-\frac{17}{15}}=-\dfrac{15}{17}\)

\(\tan\varphi=\dfrac{\sin\varphi}{\cos\varphi}=-\dfrac8{15}\implies\sin\varphi=\dfrac8{17}\)

Now,

\(\sin(\theta+\varphi)=\sin\theta\cos\varphi+\cos\theta\sin\varphi=-\dfrac{21}{221}\)

Answer:

1.  x = 11

2.  x = -11

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (x)*(x)*1/11/1-(11/1)=0

                  11

Simplify   ——

                  1

             1

 (x2 • —— ÷ 1) - 11  = 0  

            11

                   1

Simplify   ——

                   11

            1          

 (x2 • —— ÷ 1) -  11  = 0  

            11        

               1      

Divide  ——  by  1

               11      

            1      

 (x2 • ——) -  11  = 0  

           11    

Subtracting a whole from a fraction

Rewrite the whole as a fraction using  11  as the denominator :

         11     11 • 11

   11 =  ——  =  ———————

         1        11    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

     x2 - (11 • 11)                                    x2 - 121

——————————————  =  ————————

            11                                              11          

   Factoring:  x2 - 121  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 121 is the square of 11

Check :  x2  is the square of  x1  

Factorization is :       (x + 11)  •  (x - 11)  

             (x + 11) • (x - 11)

 ———————————————————  = 0  

                          11    

    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 (x+11)•(x-11)

 ————————————— • 11 = 0 • 11

      11      

Now, on the left hand side, the  11  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  (x+11)  •  (x-11)  = 0

A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solve  :    x+11 = 0  

Subtract  11  from both sides of the equation :  

                     x = -11

Solve  :    x-11 = 0  

Add  11  to both sides of the equation :  

                     x = 11

1.  x = 11

2.  x = -11

Answer:

1.  x = 11

2.  x = -11

Step-by-step explanation:

1.  x = 11

2.  x = -11

test of 250 questions

40% of the fist 125 are ok, this means that 125(0.4) = 50 questions of the first 125 are ok

If jassi needs 60% of the 250 ok, that is 250(0.6) = 150

If of the first half she already has 50 questions ok, and needs 150, she needs to have 100 questions our of the second 125

If she needs 100 out of 125, this percent is 100/125 = 0.8, this means 80%

Answer:

Jassi needs 80% of the second 125 questions to be ok

Answer:

Step-by-step explanation:

A. $268,10 B. $14155 c. $255.54 b. $11400. fociaral and state governmenta? ... record payroll tax expense and pay to the federal and state governments :.

1 answer

·

Top answer:

Amount of state and federal unemployment tax that the employer must record payroll tax expense and pay to the federal and state governments : According ...

Missing:255.54

Answer:

4/11

Step-by-step explanation:

After selecting a student, the number of students will be 7 juniors and 4 seniors making a total of 7 + 4 = 11

So we have 4 seniors to be selected from a total of 11

Hence, the probability here will be number of seniors/number of students = 4/11

Answer:

\(m=8\)

Step-by-step explanation:

\(9m-3(m+6)=2(m+7)\)

\(9m-3m-18=2m+14\)

\(6m-18=2m+14\)

\(4m= 32\)

\(m=8\)

The area of the wooden part is 1,856 sq. in.

The diagram attached below shows the following given information of the table:

To find the area of the wooden part, find the area of the outer and inner rectangles in the image. The difference in their area will give us the area of the wooden part.

Let's solve as follows:

\(Area = l \times w\)

\(l = 80 $ in.\\w = 52 $ in.\)

Plug in the values

Area of the outer rectangle = \(80 \times 52 = 4,160 $ in.^2\)

\(Area = l \times w\)

\(l = 64 $ in.\\w = 36 $ in.\)

Plug in the values

Area of the outer rectangle = \(64 \times 36 = 2,304 $ in.^2\)

Area of wooden part = Area of outer rectangle - area of inner rectangle

\(= 4,160 - 2,304\)

\(= 1,856\)

Therefore the area of the wooden part = 1,856 sq. in.

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Answer:

Step-by-step explanation:

4x + 6 + 3x + 21 = 8x + 7

7x + 27 = 8x + 7

-x + 27 = 7

-x = -20

x = 20

m<3= 8(20) + 7

         160 + 7 = 167

m<1= 4(20) + 6 = 80 + 6 = 86

m<2= 3(20) + 21 = 60 + 21 = 81

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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Answer:

4 each 2 left

Step-by-step explanation:

6×4 is 24 so 2 left bc u take 10 away from the 36 so 26 divided between 6 ppl is 4 each 2 left

The sketching sinusoidal functions and stating their components. It requires a more detailed explanation to understand the various components and their significance in the graph of a sinusoidal function.

When sketching a sinusoidal function, there are several key components to consider:

To provide a more detailed explanation, I would need specific examples of sinusoidal functions with their corresponding equations.

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To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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