Patricia buys a round
dinner table that has a
diameter of 12 meters. What
is the area of the table?

The perimeter of the square is 40m

The formula for calculating the area of a square is given as;

A =  a²

Given that;

Substitute the value

100 = a²

Find the square root of both sides

a = 10m

The formula for the perimeter of a square is expressed as;

Perimeter = 4a

Substitute the value into the formula;

Perimeter = 4(10)

expand the bracket

Perimeter = 40 m

Hence, the value is  40 m

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Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

Answer:

41 meters

Step-by-step explanation:

\(\frac{31}{64}\) = \(\frac{19.8}{x}\)

31x = (19.8)(64)

31x = 1267.2  Divide both sides by 31 and round

x = 41

The domain of the function y = 3 ln x is (0, ∞) .

The graph of the function y = 3ln x is given below .

Then , coordinate point (1, 0)

The logarithmic function y = log x has the domain x > 0 (or) (0, ∞).

This is a logarithmic function. An important property of logarithms is that the domain cannot be denied. The same is true for x=0, since the logarithm of negative numbers is undefined.

The image attached shows the graph of this function, there you can notice its domain restriction.

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Answer:

⟨-5, -1⟩

Step-by-step explanation:

Vector:

A vector is given by its endpoint subtracted by its initial point.

Vector u has initial point at (3, 9) and terminal point at (–7, 5)

Then

\(u = (-7, 5) - (3,9) = (-7 - 3, 5 - 9) = (-10,-4)\)

Vector v has initial point at (1, –4) and terminal point at (6, –1).

Then

\(v = (6,-1) - (1,-4) = (6-1,-1-(-4)) = (5,3)\)

What is u + v in component form?

\(u + v = (-10,-4) + (5,3) = (-10+5,-4+3) = (-5,-1)\)

⟨-5, -1⟩ is the answer.

The simultaneous equations 2x + y = 6 and x + y/2 = 3 are dependent because both equations are the same and they have an infinite number of solutions that satisfy both equations.

A system of simultaneous equations is called dependent if it has infinitely many solutions. In other words, one equation in the system can be obtained by adding or subtracting multiples of the other equation(s), or if all the equations represent the same line or plane in higher dimension.

We can write the equations as:

2x + y = 6...(1)

x + y/2 = 3...(2)

equation (2) can be rewritten as follows:

(2x + y)/2 = 3 {simplifying the left hand side to a single denominator}

2x + y = 2 × 3 {cross multiplication}

2x + y = 6

We can observe that equations (1) and (2) are the same. Any value of x and y that satisfies the equation 2x + y = 6 will also satisfy the second equation, x + y/2 = 3.

In conclusion, the simultaneous equations 2x + y = 6 and x + y/2 = 3 are dependent because both equations are the same, hence they have an infinite number of solutions that satisfy both equations.

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The trigonometric ratios for the angle α formed by the terminal side and the x-axis indicates;

sin(α) = -1

cos(α) = 0

tan(α) = ∞

cot(α) = 0

sec(α) = ∞

csc(α) = -1

The trigonometric ratios are equations that express the relationship between the interior angle of a right triangle and two of the sides of the triangle.

The values of the six trigonometric functions for the measure of an angle that passes through the point (0, -2) can be found using the definition of the trigonometric functions as follows;

sin(θ) = (Length of opposite side)/(Length of the hypotenuse side)

cos(θ) = (Length of adjacent side)/(Length of the hypotenuse side)

tan(θ) = (Length of opposite side)/(Length of adjacent side)

tan(θ) = sin(θ)/cos(θ)

cot(θ) = 1/tan(θ)

sec(θ) = 1/cos(θ)

csc(θ) = 1/sin(θ)

Length of the hypotenuse side = The length of the terminal side = 2

Therefore; sin(α) = -2/(2) = -1

cos(α) = 0/2 = 0

tan(α) = -1/0 = ∞

cot(α) = 0/(-1) = 0

sec(α) = 1/0 = ∞

csc(α) = 1/-1 = -1

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21.4285714286%

or

4.66666667 i think

Slope: 1/2

y-intercept(s): (0, 7/3)

x: 0, 7

y: 7/3, 0

Step-by-step explanation:

y=-3 -1/3(1+2)=2/3.3=1.3=3

y=3

Answer:

w = 120

x = 60

y = 120

z = 60

Step-by-step explanation:

w = 120 (vertically opposite angles)

sum of co interior angles is 180

⇒ w + x = 180 and x + y = 180

w + x = 180

⇒ 120 + x = 180

⇒ x = 180 - 120

⇒  x = 60

x + y = 180

⇒  60 + y = 180

⇒   y = 180 - 60

⇒   y = 120

z = x (corresponding angles)

z = 60

Answer:

11/5mi or 2.2mi

Step-by-step explanation:

1/2 +3/5 +11/10 =11/5mi

Hey there!

0.5 + 0.6 + 1.1 = 2.2

Total miles = 2.2mi

Answer:

Radius = 6.5cm

Diameter = 13cm

Step-by-step explanation:

The diameter is given (13)

Radius is half the diameter (13/2=6.5)

Answer:

Explanation

The straight line is drawn from the centre of a circle to a point on its circumference is called radius of the circle. The radius of a circle is half of its diameter.

The chord that passes through the centre of a circle is called diameter of circle. Diameter is also called the largest chord of any circle. The length of diameter of a circle is two times it's radius.

Hope this helps...

Good luck on your assignment...

After solving the equations, the value obtained for x is -2/17 and for y is value is -24/17.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.

A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given information in the question,

The equations are,

y = -5x - 2        (i)

y = 2/3x - 8/3  (ii)

Solve both the equations for x,

-5x - 2 = 2/3x - 8/3

-5x - 2/3x = - 8/3 + 2

-15x - 2x = -8 + 6

x = -2/17

Substitute x = -2/17 in equation (i)

y = -5(-2/17) - 2

y = 10/17 - 2

y = -24/17

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Answer:

4 units

Step-by-step explanation:

The distance is always positives so choices 1 and 2 are out.

To find the distance of the points (-5, 4) and (-1, 4), subtact |-1| from |-5|.

|-5| - (|-1|)

5 - (1)

5 - 1 = 4

Answer:

4 Units = C

Step-by-step explanation:

Answer:

Jsnsnskskaksmakakaksksk

This is a transformation of the parent square root function, and it can be written as:

f(x) = √(-x + 4) - 2

It is ratter easy to identify the shape of the general square root function:

f(x) = √x

The only difference is that now it opens to the left, and it starts at the point (4, -2)

Then:

The sign of the x must be negative.

And with the known vertex we can write the equation:

f(x) = √(-x + 4) - 2

That is the graphed function.

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The observation of the pattern is discussed below.

When we calculate the squares of the numbers from 1 to 10 and observe the digits at the one's place of each square, we notice a pattern:

1²=1

2²=4

3²=9

4²=16

5²=25

6²=36

7²=49

8²=64

9²=81

10²=100

If we focus on the digits at the one's place, we can see that they form a repeating pattern: 1, 4, 9, 6, 5, 6, 9, 4, 1, 0. This pattern repeats itself as we calculate the squares of higher numbers.

This observation is known as the "digit at one's place pattern" or the "units digit pattern." It occurs because the square of any number depends only on the digit at the one's place of that number. Hence, when we square numbers that have the same digit at the one's place, we get the same digit at the one's place in the result.

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Answer:

12

Step-by-step explanation:

To have an even integer the number's endian has to be an even number. Consider the 2-digit positive number like _ _ and place the number of possible options out of four total options in each blank space. We have 3 even options, so we can fill the endian blank like this _ 3

Since the first digit can be any number, therefor, we have 4 options for the first blank space 4 3. Just multiply the two numbers and you have the answer.

22, 24, 28, 42, 44, 48, 52, 54, 58, 82, 84, 88

Answer:

6

Step-by-step explanation:

Answer:

9.7

Step-by-step explanation:

The mean is the same as the average value of a data set and is found using a calculation.

Add up all of the numbers and divide by the number of numbers in the data set.

Hope this helps! :)

Answer: 9.7

Step-by-step explanation:

Mean means to add up the values and divide it by how many numbers there are, so 10 + 8 + 12 + 10 + 7 + 11 + 13 + 6 + 15 + 5 = 97, then 97 / 10 = 9.7

The center of the hanger represents an equal sign, since both sides of the hanger are equal.

Given different coloured triangles and shapes, we can assign a variable to each of them.

Let one green triangle be equal to \(a\).

Let one blue square be equal to \(b\)

Let one red circle be equal to \(c\).

Let one yellow pentagon be equal to \(d\).

On the left side of the hanger/equation, there are 3 green triangles. This means that one of our terms in our equation will be \(3a\).

Under the triangles on the left side is 1 blue square. This means that the next term could be \(1b\), or just \(b\).

Next is 2 red circles ⇒ \(2c\)

And finally are 3 yellow pentagons ⇒ \(3d\)

To sum up the left side as an expression, we can write all the terms we have just written as a sum:

\(3a+b+2c+3d\)

Now, after doing the same procedure for the right side of the hanger, we get:

\(2a+3b+c+2d\)

For now, we only have two expressions representing the two sides of the hanger:

Left: \(3a+b+2c+3d\)

Right: \(2a+3b+c+2d\)

To turn these into an equation, we must have an equal sign.

Remember that both sides of the hanger are equal. Knowing this, we can state the following:

Left side = Right side

\(3a+b+2c+3d = 2a+3b+c+2d\)

\(3a+b+2c+3d = 2a+3b+c+2d\)

Option C. It t will take approximately 5.923 hours to drive the same distance at 65 miles per hour.

t = k / r

where k is the constant of variation.

First, we need to find the constant of variation, k, using the given information:

t = 7 hours when r = 55 mph

7 = k / 55

To find k, multiply both sides by 55:

k = 7 * 55 = 385

Now that we have the constant of variation, we can find the time it will take to drive the same distance at 65 mph:

t = k / r

t = 385 / 65

t ≈ 5.923 hours

So, it will take approximately 5.923 hours to drive the same distance at 65 miles per hour.

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The sum of these 40 sampled numbers follows option D: normal distribution, if X follows Poisson distribution.

The likelihood that a certain number of events will occur in a specific period of time or space, provided that they do so with a known constant mean rate and the Poisson distribution describes the distribution of events, regardless of the time since the previous event. When the mean is high, the sum of the Poisson distribution resembles a normal distribution.

The "normal distribution," a continuous probability distribution that is symmetrical at the mean and has a bell-shaped curve. It is also known as the bell curve or the Gaussian distribution. Several natural phenomena, including height, weight, blood pressure, and others, have a normal distribution.

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Answer:

sorry, i do not know

Step-by-step explanation:

i

One of the Possible values of length and width of the prism are 15 cm and 0.5 cm

In geometry, a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.

Given here: The volume of the prism is 2¹/₂=2.5 cm³

And the height is 1/3 cm

let the length and breadth of the prism is x and y respectively.

We know the volume of the prism as

1/3 × x×y=2.5

x×y=7.5

Thus possible values of length and breadth are the factors of 7.5

out of which one of the pair whose length is 15 cm and width 0.5 cm

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Answer:

Domain: {−2, −1, 0, 2} Range: {−4, −2, 2}

Step-by-step explanation:

Step-by-step explanation:

1. given

2. vertical angles

3. alternate interior angles

4. AA I think

Answer:

number 1 hehehehej2b2ii2

Unus Annus, Memento mori.

Answer:

布盧

Step-by-step explanation: