AB and PQ are lines of length 6 cm a) AX: AB = 1:3 Mark where point X would be on the line, with a cross. A b) PX: XQ= 1:3 Mark where point X would be on the line, with a cross. mark where to put the x's in a colour for me​

The surface area of the triangular prism with given dimensions in the figure is equal to 144 square centimeters.

Surface area of the triangular prism

= Area of the two triangles + Area of the three rectangular faces

In triangles,

3, 4, 5 are Pythagorean triplets.

It is a right angled triangle.

Area of triangle

= ( 1/2) × base × height

= ( 1/2) × 4 × 3

= 6 cm²

Area of two triangles = 2 × 6

                                   = 12 cm²

Area of rectangle = length × width

Rectangle 1 ,

length = 11 cm , width = 5cm

Rectangle 2 ,

length = 11 cm , width = 4cm

Rectangle 3 ,

length = 11 cm , width = 3cm

Area of three rectangles = ( 3 + 4+ 5 ) × 11

                                         = 132 cm²

Surface area of the triangular prism = 12 + 132

                                                            = 144 square centimeters

Therefore, the surface area of the triangular prism is equal to 144 square centimeters.

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If Joe covers the cylindrical planter having radius of 4 inches and height of  6 inches, then amount of moss required is 251.2 inches square.

In order to find the amount of moss required to cover the cylindrical-planter, we need to find the surface-area of the planter,

The formula for the Surface-Area(S) of a cylinder-planter is:

⇒ S = 2πrh + 2πr², Where: r denotes radius base, h denotes height  cylinder-planter,

We know that radius of planter is 4 inches, height is 6 inches,

Substituting the values,

We get;

S = 2×π×(4)×(6) + 2×π×(4)²

S = 48π + 32π

S = 80π = 80×3.14 = 251.2 inches square.

Therefore, the surface area of the cylindrical planter is 251.2 square inches. This is the amount of moss that Joe will need to cover it.

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The system of equations associated with the augmented matrix [6 3 6 -2 -4 -9] is 6x + 3y + 6z = -2 and -4x - 9y + z = -9. The system of equations associated with the augmented matrix [3 2 1 11; 2 1 3 15; 0 2 -1 -2] is 3x + 2y + z = 11, 2x + y + 3z = 15 and -2x + 4y - z = -2.

For the first augmented matrix, the system of equations would be

6x + 3y + 6z = -2

-4x - 9y + z = 1

The coefficients of x, y, and z can be found in the first three columns of the matrix, and the constants are in the last column. The system of equations can be written by using these coefficients and constants.

For the second augmented matrix, the system of equations would be

3x + 2y + z = 11

2x + y + 3z = 15

-2x + 4y - z = -2

Again, the coefficients of x, y, and z can be found in the first three columns, and the constants are in the last column. The system of equations can be written using these coefficients and constants.

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--The given question is incomplete, the complete question is given

"Write the system of equations associated with each augmented matrix. Do not solve. 6 3 6 -2 -4 -9 1) a) 6x 3y  [ 3 2 1 11 [2 1 3 15. 02 42 -1 -2 3 15 "--

Answer:

Answer is B

Step-by-step explanation:

Hope this helps

Therefore the base of the triangle is 8 centimeters.

The area of the triangle is calculated by using the formula listed below,

Area of the triangle = [tex]\frac{1}{2} * base * height[/tex]

From the given data area = 28.8 square centimeters

Height = 7.2 centimeters

Therefore to find the base,

[tex]28.8 = \frac{1}{2} * base * 7.2[/tex]

base = [tex]\frac{28.8 * 2}{7.2}[/tex]

base = 8 centimeters

Therefore the base of the triangle is 8 centimeters.

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Complete question:

The area of the triangle below is 28.8 square centimeters What is the length of the base? 7.2 cm

(1) The value of f(g(x)) is 2x²-4x+2.

(2) The value of g(f(x)) is 2x²-1.

(3) The value of f(f(x)) is 8x².

function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given the function,

(a) To calculate the value of f(g(x)) we substitute the value of x as g(x) in f(x)

(b)  To calculate the value of g(f(x)) we susbtitute the value of x as f(x) in g(x)

(c) To calculate the value of f(f(x)) we substitute the value of x as f(x) into f(x)

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Answer: The circumference of the circle is approximately 12.57 meters

Step-by-step explanation:

The circumference of a circle can be found by multiplying its diameter by π (pi), or by multiplying twice the radius by π.

In this case, the radius is 2 meters, so twice the radius is 4 meters.

Therefore, the circumference of the circle is:

C = 2πr = 2π(2) = 4π ≈ 12.57 meters

So the circumference of the circle is approximately 12.57 meters.

Answer:

The answer for Circumference is 12.56m

Step-by-step explanation:

C=2PIr

C=2×2×3.14

C=12.56m

Answer: Creo que la respuesta es x+3

Espero haber ayudado :D

Answer:

Step-by-step explanation:

4x4=16

16x4=64

its easy

Area of a sector AOM = ∅/360 × πr²

                                 = 32/360 × π × 6²

                                 = 16/5π or 10.05

There are 9,405,814 distinct dolls that contain the undesirable statement among their four exclamations.

Since each doll has four exclamations, the total number of distinct dolls can be calculated as the number of ways to choose four statements from a set of 270 statements, which is given by the formula for combinations:

C(270, 4) = 270! / (4! * (270 - 4)!) = 4,012,060

Therefore, there are 4,012,060 distinct dolls with four exclamations.

To calculate the number of distinct dolls that contain the undesirable statement among their four exclamations, we can use the formula for combinations again, this time choosing three statements from the remaining 269 statements and one statement from the undesirable statement:

C(269, 3) * C(1, 1) = 269! / (3! * (269 - 3)!) * 1 = 9,405,814

Therefore, there are 9,405,814 distinct dolls that contain the undesirable statement among their four exclamations.

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The option that represents the distance between the two points on the graph shown above would be = 3.5. That is option B.

The formula that can be used to calculate the distance between the two points;

= √ (x2-x1)²+(y2-y1)²

where;

X1= -3

x2 = 0.5

y1 =0

y2 = 0

= √(-3-0.5)²

= √(-3.5)²

= √12.25

= 3.5

Therefore the distance between the given points = 3.5

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The calculated value of the length of AB is 3π

From the question, we have the following parameters that can be used in our computation:

central angle = 20 degrees

radius = 27 units

The length of AB is the length of the arc

So, we have

AB = central angle/360 * 2πr

substitute the known values in the above equation, so, we have the following representation

AB = 20/360 * 2π * 27

This gives

AB = 3π

Hence, the length is 3π

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[tex]\qquad \textit{Centroid of a Triangle} \\\\ \left(\cfrac{x_1+x_2+x_3}{3}~~,\cfrac{y_1+y_2+y_3}{3}~~ \right)\quad \begin{cases} A(\stackrel{x_1}{2},\stackrel{y_1}{4})\\ B(\stackrel{x_2}{3},\stackrel{y_2}{-2})\\ C(\stackrel{x_3}{-4},\stackrel{y_3}{0}) \end{cases} \\\\\\ \left(\cfrac{2+3-4}{3}~~,~~\cfrac{4-2+0}{3} \right)\implies \left( \cfrac{1}{3}~~,~~\cfrac{2}{3} \right)[/tex]

Answer:

C

Step-by-step explanation:

SLope is defined as  rise / run     there is zero run for this vertical line , there fore it has an undefined slope ( you cannot have zero in the denominator)

When the population means are different, we expect to see a large t-statistic. This is because the t-statistic measures the difference between the sample mean and the population means, adjusted for the sample size and standard deviation.

If the population means are farther apart, the difference between the sample mean and the population means will be larger, resulting in a larger t-statistic. This is also reflected in the formula for the t-statistic, where the numerator is the difference between the sample mean and the population means, and the denominator is a measure of the variability of the sample. Therefore, a larger difference in population means will result in a larger t-statistic.
You asked if you should expect a large or small t-statistic if the population means are different. If the population means are different, you can expect a large t-statistic. This is because the t-statistic is calculated by dividing the difference between the sample mean and the hypothesized population mean by the standard error of the sample mean. When the population means are different, the difference between the sample mean and the hypothesized population mean will be larger, resulting in a larger t-statistic. This large t-statistic indicates that the observed difference is unlikely to have occurred by chance alone, suggesting that there is a significant difference between the two population means.

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Answer:

the area of the square is 3136cm² and the area of both semi circles are 2463cm². the combined area of both is 5599cm²

Step-by-step explanation:

:)

Answer: Slope: 0

              y-intercept: (0,7)

Step-by-step explanation:

The perimeter of the ΔCOD is equal to 33 inches.

In Mathematics and Geometry, a parallelogram simply refers to a four-sided geometrical figure (shape) and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that is composed of two (2) equal and parallel opposite sides.

Since side AB is parallel to side DC and AD is parallel to side BC, we can logically deduce that quadrilateral ABCD is a parallelogram. Additionally, the diagonals of this parallelogram bisect each other at the midpoint O;

OC ≅ OD

OC = 1/2 × (AC) = 1/2 × 20 = 10

OD = 1/2(BD) = 1/2 × 20 = 10

Now, we can calculate the perimeter of triangle COD as follows;

Perimeter of triangle COD = OC + OD + CD

Perimeter of triangle COD = 10 + 10 + 13

Perimeter of triangle COD = 33 inches.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

a) The radius of the wheel is 51 cm.

b) The area of the wheel is 8167.14 cm².

Step-by-step explanation:

SOLUTION :

Here we have given that the circumference of a wheel is 320.28 centimeters. We have to find the :

Finding the radius of circle by substituting all the given values in the formula :

[tex]\quad{\longrightarrow{\sf{C_{(Circle)} = 2 \pi r}}}[/tex]

[tex]\quad{\longrightarrow{\sf{320.28=2 \pi r}}}[/tex]

[tex]\quad{\longrightarrow{\sf{320.28=2 \times 3.14 \times r}}}[/tex]

[tex]\quad{\longrightarrow{\sf{320.28=6.28 \times r}}}[/tex]

[tex]\quad{\longrightarrow{\sf{r = \dfrac{320.28}{6.28}}}}[/tex]

[tex]\quad{\longrightarrow{\sf{r = \cancel{\dfrac{320.28}{6.28}}}}}[/tex]

[tex]\quad{\longrightarrow{\sf{\underline{\underline{\purple{r = 51 \: cm}}}}}}[/tex]

Hence, the radius of circle is 51 cm.

[tex]\begin{gathered} \end{gathered}[/tex]

Now, calculating the area of circle by substituting all the given values in the formula

[tex]\quad{\longrightarrow{\sf{A_{(Circle)} = \pi {r}^{2}}}}[/tex]

[tex]\quad{\longrightarrow{\sf{A_{(Circle)} = 3.14 {(51)}^{2} }}}[/tex]

[tex]\quad{\longrightarrow{\sf{A_{(Circle)} = 3.14 {(51 \times 51)}}}}[/tex]

[tex]\quad{\longrightarrow{\sf{A_{(Circle)} = 3.14 {(2601)}}}}[/tex]

[tex]\quad{\longrightarrow{\sf{A_{(Circle)} = 3.14 \times 2601}}}[/tex]

[tex]\quad{\longrightarrow{\sf{\underline{\underline{\pink{A_{(Circle)} = 8167.14 \: {cm}^{2}}}}}}}[/tex]

Hence, the area of circle is 8167.14 cm².

To find the limit of the given expression as x approaches 0, we will use l'Hospital's Rule because the expression is in the indeterminate form 0/0. The given expression is: lim (x→0) [(√(1 + 9x) - √(1 - 2x))/x]

First, let's find the derivative of the numerator and denominator with respect to x. Numerator's derivative: d/dx [√(1 + 9x) - √(1 - 2x)] = (9/2) * (1/√(1 + 9x)) - (2/2) * (1/√(1 - 2x)) Denominator's derivative: d/dx [x] = 1

Now, apply l'Hospital's Rule and find the limit of the derivative: lim (x→0) [(9/2) * (1/√(1 + 9x)) - (2/2) * (1/√(1 - 2x))]

As x approaches 0: = (9/2) * (1/√(1 + 9*0)) - (2/2) * (1/√(1 - 2*0)) = (9/2) * (1/√1) - (2/2) * (1/√1) = (9/2) - (2/2) = (9 - 2)/2 = 7/2

So the limit of the given expression as x approaches 0 is 7/2.

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The results from the observational study can only be classified as correlational or associative, but not causal.

This is because an observational study does not have the same level of control over variables as a double-blind experiment, making it difficult to establish a cause-and-effect relationship between the variables being studied. A double-blind experiment, on the other hand, allows for more rigorous control over variables and can establish a causal relationship between them. Therefore, the results from the observational study should be interpreted with caution and may require further investigation using a double-blind experiment to confirm any causal relationship.

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The value of the given 8/9 / 3 1/5 is 18/5.

We are given that;

8/9 / 3 1/5

Now,

By cross multiplication

= 8/9 / 16/5

= 9/8 * 16/5

= 9/1 * 2/5

= 18/5

Therefore, by the algebra the answer will be 18/5.

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The number of such functions are 16,807

The number of functions that are injective are 5.

The number of functions that are surjective are 20.

The number of functions that are bijective are one.

Functions are an essential concept in mathematics and are used to describe relationships between sets. In this question, we are interested in functions from a set of five elements {A, B, C, D, E} to a set of seven elements {1, 2, 3, 4, 5, 6, 7}. Specifically, we want to know how many such functions exist and what properties they have.

To answer the first question, we need to determine how many functions are possible. A function from set A to set B assigns each element of A to a unique element of B. In this case, we have five choices for where to send each element of A, and there are seven possible choices for the destination, so there are a total of 7⁵ = 16,807 possible functions.

Next, we consider the property of injectivity, which means that each element of the codomain (set B in this case) is assigned to by at most one element of the domain (set A). In other words, no two distinct elements of A are mapped to the same element of B.

Next, we consider the property of surjectivity, which means that each element of the codomain is assigned to by at least one element of the domain. In other words, every element of B is the image of at least one element of A under the function.

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Answer:

a) 1/2

b) 7

Step-by-step explanation:

COS 60° = 1/2

COS 60° = 8 squared + 5 squared - b square = 1/2

2 x 8 x 5

a) 1/2

b) 7

Answer:

7 * 5 and -47

Step-by-step explanation:

[tex]7*5=35[/tex]

[tex]35-47=-12[/tex]

Hope This Helps :)

Pls Brainliest...

Answer:

-7 and -5

Step-by-step explanation:

The easiest way to solve this problem is to list the simplest ways to get 35. These are the factors.

7*5=35

1*35=35

1+35 gives us 36, and 35-1 gives 34. So, 1 and 35 can not be our mystery numbers.

7-5 given 2, and 7+5 gives 12. Yay! We found a way to get 12 with numbers that multiply to 35!

But wait! This gives positive 12, not negative. Recall that a negative plus a negative will give a negative, and a negative times and negative will give a positive. So, by making 7 and 5 negative, we get:

-7*-5=35

-7+(-5)=-12

-7 and -5 are the answers.

Thus, there is a 1.96% chance of selecting the jack of clubs when drawing a single card from a standard deck.

The probability of selecting a jack and a club from a standard deck of 52 cards can be calculated by first determining the number of jacks and clubs in the deck. There are four jacks and 13 clubs in a standard deck, so the probability of selecting a jack and a club would be the product of the probability of selecting a jack (4/52) and the probability of selecting a club (13/51).

This can be written as:

P(jack and club) = P(jack) * P(club|jack not drawn)

= (4/52) * (13/51)

Simplifying this equation, we get:

P(jack and club) = 1/13 * 13/51

= 1/51

Therefore, the probability of selecting a jack and a club from a standard deck of 52 cards is approximately 0.0196 or 1.96%. This means that for every 51 times you draw a card from the deck, you can expect to get a jack and a club only once.

It's worth noting that the probability of selecting any two specific cards from a standard deck is the same, regardless of whether they are a jack and a club or any other combination.

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Answer:

Step-by-step explanation:

To find the number of containers that Jackson can fill, we need to divide the total amount of salt he has by the amount of salt that each container can hold. We can convert the mixed number of 4 1/2 pounds to an improper fraction:

4 1/2 = 9/2

Next, we can express the amount of salt each container can hold in terms of improper fractions:

2/5 a pounds = 10/25 a pounds = 2/5 a pounds

Now we can set up the division:

(9/2) ÷ (2/5)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(9/2) × (5/2)

Simplifying the fractions, we get:

(9 × 5) / (2 × 2) = 45/4

Therefore, Jackson can fill 45/4 containers with the 4 1/2 pounds of salt. We can convert this improper fraction to a mixed number:

45/4 = 11 1/4

So Jackson can fill 11 1/4 containers with the salt he has. However, since we are dealing with a physical quantity, we need to round down to the nearest whole number of containers, which is 11. Therefore, Jackson can fill 11 containers with salt.

The length of PQ, as per Pythagoras' theorem, is 20 centimeters.

Given information:

The area of an isosceles triangle is 192 cm².

RQ = 24 cm.

To find PQ:

First, find the height described as h.

Area of isosceles triangle = 1/2 x 24 x h

192 = 12 x h

h = 16 cm.

Therefore, the side length of PQ can be calculated as Pythagoras' theorem,

PQ = √((h)² + (12)²)

PQ  = √(16)² + (12)²

PQ = √(256 + 144)

PQ = 20 cm.

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An equation for y in the terms of x is y = 16/x and the x value when y = 25 is 16/25

An inverse proportion is represented as

k = xy

So, we have

xy = 1 * 16

Evaluate

xy = 16

So, we have

y = 16/x

We have

xy = 16

This means that

25x = 16

So, we have

x = 16/25

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