Which statement is incorrect
A.1
B.2
C.3

The red angle markers show those two angles are congruent. That's one "A" of "ASA". The S refers to a congruent pair of sides. We don't have any tickmarks to indicate congruent pairs; however, we do know that QR = QR is a shared side that overlaps (reflexive theorem). So this is the "S" in "ASA".

The thing missing is the angle Q of the top triangle, and also of the bottom triangle as well. If we know those two angles are congruent, then we have enough info to use ASA. More specifically, if we know that \(\angle SQR \cong \angle XQR\), then we can use ASA.

One thing to notice is that the other answer choices involve side lengths and not angles. This implies that if A, B or C were one of the answers, then we would have something like SAS or SSS. But instead we want ASA. So we can immediately rule choices A,B, and C out.

The mean and standard deviation of the heights of 10 people were determined using an Excel spreadsheet. If your height is less than the mean, then you are shorter than the average height.

To calculate the mean height, you need to sum up all the heights and divide the total by the number of values. The standard deviation measures the spread of the heights from the mean. You can use the following steps in Excel to calculate these values:

Enter the 10 height values in a column, say column A.

In an empty cell, use the formula "=AVERAGE(A1:A10)" to calculate the mean height.

In another empty cell, use the formula "=STDEV(A1:A10)" to calculate the standard deviation of the heights.

Comparing your height to the mean height of the sample depends on your own height. If your height is greater than the mean, then you are taller than the average height of the 10 people. If your height is less than the mean, then you are shorter than the average height. If your height is equal to the mean, then you have the same height as the average height of the sample.

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Answer:

10 blocks

Step-by-step explanation:

Given

\(First = 6\ blocks\)

\(Second = 8\ blocks\) east

Required

Determine the shortest possible distance

To better explain my solution, I've added an attachment that illustrates her movement.

Using the attachment as a point of reference, the shortest distance is calculated by calculating the length of the hypotenuse using Pythagoras theorem.

So, we have:

\(x^2 = 6^2 + 8^2\)

\(x^2 = 36 + 64\)

\(x^2 =100\)

Take positive square root of both sides

\(x = \sqrt{ 100\)

\(x = 10\)

Answer:

Step-by-step explanation:

Q1

Q2

Q3

Q4

Answer:

402.124

Step-by-step explanation:

2pirL = 2 x π x 8 x 8

Answer: 804.08

Step-by-step explanation:

Answer:

192

Step-by-step explanation:

Because the formula of Volume is LXWXH

8x6x4=192

Answer:

Exactly $13.125 (approx $13.13)

Step-by-step explanation:

52.50 divided by 4 is 13.125. 1 shirt costs exactly $13.125. Round the half cent up to a whole cent.

Answer:

2x (4a-5b)2+ 3x (3a-4b)

I hope this answer was helpfull for you

Answer:

3. Parallel lines have the same slope but different y-intercepts, so they never intercept each other.

Step-by-step explanation:

Therefore, when two lines begin parallel but later diverge, it implies that the geometry involved is non-Euclidean.

I understand that you would like an explanation related to parallel lines in geometry and the final answer should be concise, covering the main point in the last two lines.
In geometry, parallel lines are lines in a plane that never intersect or touch each other at any point. These lines always maintain the same distance from one another. However, if two lines start as parallel but later diverge, it indicates that they are no longer maintaining the same distance from each other. In such a case, the geometry under consideration is non-Euclidean.

Therefore, when two lines begin parallel but later diverge, it implies that the geometry involved is non-Euclidean.

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Answer:

\(\boxed{Area = 3.14 ft^2}\)

Step-by-step explanation:

Radius = r = 2 feet

Angle = θ = π/2 (In radians) = 1.57 radians

Area of Sector = \(\frac{1}{2} r^2 \theta\)

Area = \(\frac{1}{2} (4)(1.57)\)

Area = 2 * 1.57

Area = 3.14 ft²

Answer:

               \(\bold{2\pi\ ft^2\approx6,28\ ft^2}\)

Step-by-step explanation:

360°:2 = 180° so the area of a sector bounded by a 180° arc is a half of area of a circle of the same radius.

\(A=\frac12\pi R^2=\frac12\pi\cdot2^2=\frac12\pi\cdot4=2\pi\ ft^2\approx2\cdot3,14=6,28\ ft^2\)

Answer:

4√20

Step-by-step explanation:

√40 = √4 * √10 = 2√10

4√20 > 2√10

then:

the greater is:

4√20

Answer:

x=-26.18

Step-by-step explanation:

69.18+x=43

-69.18    -69.18

x=-26.18

Answer:

it goes up 80 in every column in this problem except the 6,. so the answer is 6,591 423

I hope I help

The prove of the trigonometric identity is shown below.

Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.

We to prove that:

\(\frac{1}{1-cosx} + \left\frac{1}{1+cosx} = 2csc^{2}x\)

Find the LCM of the right side of the equation:

\(\frac{1}{1-cosx} + \left\frac{1}{1+cosx} = \left\frac{1+cosx \left + \left1-cosx }{1-cos^{2}x}\)

                         \(= \left\frac{2 }{1-cos^{2}x}\)      (Remember: sin²x = 1 - cos²x)

                         \(= \left\frac{2 }{sin^{2}x}\)          (Also: \(\left\frac{1 }{sin^{2}x} = csc^{2}x\))

                         \(= 2 csc^{2}x\)

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Answer:

since you answered the other 2 already the last one is 57 pounds :p

Step-by-step explanation:

57 pounds is 95 percent of the limit.

a) The average slope or rate of change between (0, 1) and (2, 4) is 3/2.

b) The average slope or rate of change between (-2, 1/4) and (-1, 1/2) is 1/4.

c) The slope or rate of change is not constant between these two pairs of points, since the average slopes are different.

d) The function connecting these pairs of points is not a linear function.

The average slope or rate of change between two points (x1, y1) and (x2, y2) on a line is given by

average slope = (y2 - y1) / (x2 - x1)

For the points (0, 1) and (2, 4), the average slope is

average slope = (4 - 1) / (2 - 0) = 3/2

For the points (-2, 1/4) and (-1, 1/2), the average slope is

average slope = (1/2 - 1/4) / (-1 - (-2)) = 1/4

The slope or rate of change is not constant between these two pairs of points, since the average slopes are different. Therefore, the function connecting these pairs of points is not a linear function.

Note that a linear function has a constant slope, so if the slope is changing, then the function cannot be linear.

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The recommended time for cleaning and sanitizing a cutting board depends on various factors, such as the type of food being prepared and the risk of contamination.

However, a general guideline suggests that a cutting board should be cleaned and sanitized if it has been used for the same task for more than 4 hours.

Food safety guidelines emphasize the importance of preventing cross-contamination in the kitchen. Cutting boards, especially those used for cutting raw meats, poultry, and seafood, can harbor harmful bacteria that can contaminate other foods if not properly cleaned and sanitized.

The 4-hour guideline is based on the understanding that bacteria can multiply rapidly at room temperature and can reach levels that may pose a health risk. To minimize this risk, it is recommended to clean and sanitize cutting boards after approximately 4 hours of continuous use for the same task.

It's important to note that the 4-hour guideline is a general recommendation and may vary depending on the specific circumstances. Factors such as the type of food being prepared, the level of contamination, and the sanitation practices in place should be considered. Additionally, cutting boards should be cleaned and sanitized immediately if visible signs of contamination or soiling are present, regardless of the time duration.

To ensure food safety, it is always advisable to follow specific guidelines and regulations provided by local health authorities or food safety organizations. These guidelines take into account the specific risks associated with different types of food and provide detailed recommendations for cleaning and sanitizing cutting boards.

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The x-intercepts of the ellipse are (-m, 0) and (m, 0), while the y-intercepts are (0, -n) and (0, n).

A parametric description of this ellipse can be given as x = m cos(t), y = n sin(t), where t is a parameter that varies from 0 to 2π.

The equation of the ellipse is x^2/m^2 + y^2/n^2 = 1, where m and n are the lengths of the semi-major and semi-minor axes, respectively. To find the x-intercepts, we set y = 0 and solve for x, which gives x = ±m. Similarly, to find the y-intercepts, we set x = 0 and solve for y, which gives y = ±n.

A parametric description of an ellipse can be given in terms of its semi-major and semi-minor axes as x = a cos(t), y = b sin(t), where t is a parameter that varies from 0 to 2π. In this case, the semi-major and semi-minor axes are m and n, respectively, so the parametric description of the ellipse is x = m cos(t), y = n sin(t).

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While Mary exerts an upward force on the bag of groceries, the reaction force is exerted by the Earth on Mary and the bag of groceries, keeping them in equilibrium.

According to Newton's third law of motion, for every action, there is an equal and opposite reaction. In this scenario:

(a) The magnitude of the reaction force is 40 N, which is equal in magnitude but opposite in direction to the force exerted by Mary.

(b) The direction of the reaction force is downward, opposite to the direction of the force exerted by Mary.

(c) The reaction force is exerted on the Earth, specifically the surface on which Mary and the bag of groceries are standing.

(d) The reaction force is exerted by the Earth onto Mary and the bag of groceries.

It's important to note that Newton's third law states that the action and reaction forces always occur in pairs and act on different objects. So,

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Form the given five quadratics , the one representing the repeated roots is equal to option d. 25x² - 30x + 9 and repeated roots are 3/5 or 3/5.

Quadratics representing repeated roots has discriminant equals to zero.

Standard quadratic equation is:

ax² + bx + c = 0

Discriminant 'D' = b² - 4ac

option a. -x²+ 18x + 81

Discriminant

'D' = 18² - 4(-1)(81)

      = 324 + 324

      = 648

D>0 has distinct roots.

option b. 3x²- 3x - 168

Discriminant

'D' = (-3)² - 4(-3)(-168)

      = 9 - 2016

      = -2007

D< 0 has distinct roots.

option c. x²- 4x -  4

Discriminant

'D' = (-4)² - 4(1)(-4)

      = 16 + 16

      = 32

D>0 has distinct roots.

option d. 25x²- 30x + 9

Discriminant

'D' = (-30)² - 4(25)(9)

      = 900 - 900

      = 0

D = 0 has repeated roots.

Repeated roots are:

x = ( -b ±√D ) / 2a

  = [-(-30)±√0 ]/ 2(25)

  = 30/ 50

  = 3/5.

option e.  x² - 14x + 24

Discriminant

'D' = (-14)² - 4(1)(24)

      = 196 - 96

      = 100

D>0 has distinct roots.

Therefore, the quadratics which represents the repeated roots are given by option d. 25x² - 30x + 9 and its repeated roots are 3/5 or 3/5.

The above question is incomplete, the complete question is:

One of the five quadratics below has a repeated root. (There other four have distinct roots.) What is the repeated root?

a. -x²+ 18x + 81

b. 3x² - 3x - 168

c. x² - 4x - 4

d. 25x² - 30x + 9

e. x² - 14x + 24

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Answer:

6

Step-by-step explanation:

Replace x with 1 and solve

Replace x with 2 and solve

Subtract the 2 solutions:

3^1 - 2 = 3-2 = 1

3 ^2 -2 = 9-2 = 7

7-1 = 6

Answer: 6

The volume of the rectangular prism is 8 cubic meters when it takes 8 blocks with a side lengths of one fourths meter to fill a rectangular prism.

If it takes 8 blocks with a side length of one fourths meter to fill a rectangular prism, we can assume that the volume of each block is:

\((1/4)^3 = 1/64m^3\)

To find the volume of the rectangular prism, we need to know its dimensions. We can express its volume as one of the given options:

One eights cubic meters: This means the volume is 1/8 cubic meters. We can find the number of blocks needed to fill this volume by dividing the total volume by the volume of each block:

(1/8) ÷ (1/64) = 8 blocks

This doesn't match the given information, since we were told that it takes 8 blocks to fill the prism, not that the volume of the prism is 8 times the volume of a block.

One fourths cubic meters: This means the volume is 1/4 cubic meters. We can find the number of blocks needed to fill this volume in the same way:

(1/4) ÷ (1/64) = 16 blocks

This also doesn't match the given information.

Half cubic meters: This means the volume is 1/2 cubic meters. We can find the number of blocks needed to fill this volume:

(1/2) ÷ (1/64) = 32 blocks

Since it takes 8 blocks to fill the prism, this option doesn't match either.

One cubic meter: This means the volume is 1 cubic meter. We can find the number of blocks needed to fill this volume:

1 ÷ (1/64) = 64 blocks

This matches the given information, since it takes 8 blocks to fill the prism, which means there are 8 layers of 8 blocks each. Therefore, the dimensions of the prism are:

length = 8 × (1/4) = 2 meters

width = 8 × (1/4) = 2 meters

height = 8 × (1/4) = 2 meters

So the volume of the rectangular prism is:

volume = length × width × height = 2 × 2 × 2 = 8 cubic meters.

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Answer:

955

Step-by-step explanation:

8 squared = 64

x 3 X 5 = 960

-5

= 955

The statement ''3/2 divided by 4/5'' is represents the height of Shankika.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Lekika is 3/2m tall which is 4/5m of Shankika height.

Now,

Since, Lekika is 3/2 m tall which is 4/5 m of Shankika height.

Hence, The height of Shankika = 3/2 ÷ 4/5

                                                = 3/2 × 5/4

                                                = 6/8

Thus, The correct situation is,

''The height of Shankika.''

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After applying u-substitution and simplifying, the integral evaluates to C.

To evaluate the integral ∫ √(2^1) (2^3 - 1)^3 da using u-substitution, we can make the following substitution i.e. u = 2^3 - 1.

Taking the derivative of u with respect to a, we have du/da = 0.

Now, let's solve for da in terms of du:

da = (1/du) * du/da

Substituting u and da into the integral, we have:

∫ √(2^1) (2^3 - 1)^3 da = ∫ √(2^1) u^3 (1/du) * du/da

Simplifying, we get:

∫ √2 * u^3 * (1/du) * du/da = ∫ √2 * u^3 * (1/du) * 0 du

Since du/da = 0, the integral becomes:

∫ 0 du = C, where C represents the constant of integration.

Therefore, after applying u-substitution and simplifying, the integral evaluates to C.

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False. While all relationships should be valued and respected, it's unrealistic to say that they all have equal weight. Some relationships may be closer and more intimate than others, or may require more time and energy to maintain.

Additionally, some relationships may have greater consequences or impact on our lives than others. It's important to prioritize and nurture our relationships based on their individual significance and value to us.
In the context of relationships, the term "weight" refers to the importance or influence of a particular relationship. Not all relationships have equal weight because the significance of each relationship varies based on factors such as trust, communication, shared experiences, and emotional connections.

Some relationships are naturally stronger and more influential than others due to these factors, making them more valuable and impactful in a person's life. In contrast, weaker relationships may not have the same level of trust, connection, or influence, making them less important overall. It is essential to recognize and nurture the stronger relationships in one's life to maintain a healthy support system and overall well-being.

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Answer:

9 scarfs

Step-by-step explanation:

Answer:

9 scarves

Step-by-step explanation:

50 - 21 = 29

29/3 = 9 R2

So that is 9 scarves because you can't buy a fraction off a scarf

The volume of the sphere with a radius of 8.9 m is given as follows:

V = 2,951.5 m³.

The volume of a sphere of radius r is given by the equation presented as follows:

V = 4πr³/3.

The radius for this problem has the measure given as follows:

r = 8.9m.

Hence, considering that π is rounded to 3.14, the volume of the sphere is obtained as follows:

V = 4 x 3.14 x (8.9)³ x 1/3

V = 2,951.5 m³.

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