I need help with this please!

The distance from the top left corner of the foundation to the bottom right corner is 27 meters.

The distance between two points in space can be calculated using the Pythagorean theorem. In this case, we want to find the distance from the top left corner of the foundation to the bottom right corner.

To do this, we will use the length and width of the foundation, which are 20 meters and 18 meters respectively.

The Pythagorean theorem states that in a right triangle, the square of the distance (c) between the two points is equal to the sum of the squares of the other two sides (a and b). Mathematically, this can be represented as

=> c² = a² + b².

In our case, the two sides are the length (20m) and width (18m) of the foundation. To find the distance, we will first find the square of c by adding the squares of a and b. So,

=> c² = 20² + 18² = 400 + 324 = 724.

To find the distance, we will take the square root of c².

So,

c = √724 = 26.83

When we rounded to the nearest meter, c = 27m.

Complete Question:

The foundation of a building is in the shape of a rectangle, with a length of 20 meters(m) and a width of 18m. To the nearest meter, what is the distance from top left corner of the foundation to the bottom right corner.

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The result for simplifying;

\( {( \frac{2a²b×b⁴}{2a²b×9 {a}^{2} } )}^{ \frac{1}{2} } \)

is;

\( \frac{ {b}^{2} }{3b} \)

Simplification of an algebraic expressions is the process of writing an expression in the most efficient and compact way, that is in their simplest form, without changing the value of the original expression.

The greatest common factor the numerator and denominator is 2a²b and so we divide through with it to give;

\( {( \frac{b⁴}{9 {a}^{2} } )}^{ \frac{1}{2} } \)

evaluate the square root, we have;

\( {( \frac{2a²b⁵}{18 {a}^{4}b } )}^{ \frac{1}{2} } = {( \frac{b²}{3a})} \)

Therefore,

\( {( \frac{b²}{3a})} \)

is the result after simplifying the algebraic expression

\( {( \frac{2a²b⁵}{18 {a}^{4}b } )}^{ \frac{1}{2} } \)

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Solution

For this case we have this:

y= 2x -9 (1)

And replacing equation (1) into the second we got:

x + 2x -9= 12

3x = 12+9

3x = 21

x = 21/3 = 7

And solving for y we got:

y = 2*7 -9 = 14 -9 =5

The nearest whole number, the estimated time required by the 50th unit is 47 minutes.Therefore, the correct option is b. 48 minutes.

Given the 13th unit requires 87 minutes and 26th unit requires 64 minutes.To find the estimated time required by the 50th unit, we need to use the equation of the linear equation of the line.Let's find the value of m (slope).`m = (64 - 87)/(26 - 13)m = -23/13`Let's find the value of b (y-intercept).`b = 87 - (-23/13) × 13b = 87 + 23b = 110`

Therefore, the equation of the line can be written as:y = -23/13 x + 110Let's substitute the value of x as 50 and find the value of y (time required by the 50th unit).`y = -23/13 × 50 + 110y = 47.31`Rounded to the nearest whole number, the estimated time required by the 50th unit is 47 minutes.Therefore, the correct option is b. 48 minutes.

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Altitude, like elevation, is the distance above sea level. Areas are often considered "high-altitude" if they reach at least 2,400 meters (8,000 feet) into the atmosphere. ... This is called indicated altitude, and is measured by an instrument called an altimeter. As altitude rises, air pressure drops.

Answer:

the height of an object or point in relation to sea level or ground level.

Explanation:

height above sea level

Although the term altitude is commonly used to mean the height above sea level of a location, in geography the term elevation is often preferred for this usage. Vertical distance measurements in the "down" direction are commonly referred to as depth.

Answer:

C=20° a=10.8 c= 4.3

Step-by-step explanation:

first we need to find the value of angle C by subtracting the sum of angle A and B from 180°.

to find c and a we need to use sin rule which states that sinB/b=sinA/a=sinC/c respectively

Answer:

18. one solution 19. No solutions

Step-by-step explanation:

Answer:

f(x,y)=(3x,3y)

Step-by-step explanation:

Dilation with the centre at the origin with scale facor k,

= f(x,y)--->f(kx,ky)

When k=3,

f(x,y)---->f(3x.3y)

Step-by-step explanation:

y =39x + 125

y = 15x + 499

y = 25000 - 2300x

Answer:

20

...........

mark me as brainlist

Im sorry i do not have the answer but this is the image for who ever that can help

Answer:

The answer is 42721772. Calculations.

Step-by-step explanation:

To determine the force t2 needed to pull the rope over the two fixed drums, we must first consider the forces acting on the rope. The force t1 applied at point A will create a tension force along the length of the rope, and this tension force will be transferred to point B. At point B, the tension force will need to overcome the frictional forces acting on the drums in order to move the rope.

The frictional forces acting on the drums are caused by the angles of contact and the coefficients of static friction. The angles of contact are the angles formed by the rope and the drums, and the coefficients of static friction are the values that represent the resistance of the surfaces to sliding against each other. The greater the angle of contact and the higher the coefficient of static friction, the greater the frictional force acting on the rope.

To determine the force t2 needed to overcome these frictional forces, we can use the following equation:

t2 = t1 * e^μθ

Where μ is the coefficient of static friction and θ is the angle of contact. We can plug in the values given in the problem to get:

t2 = t1 * e^(0.3 * 120°) ≈ 1.54t1

Therefore, the force t2 needed to pull the rope over the two fixed drums is approximately 1.54 times the force t1 applied at point A.

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The answer is True. In the Venn Diagram for an EIO - 2 Categorical Syllogism, X represents the area of the diagram where the subject of the conclusion statement (the term in the predicate of the minor premise) overlaps with the complement of the predicate of the major premise.

In a EIO syllogism, the conclusion statement is negative and particular, meaning that it denies the existence of some members of the subject class. This area of the diagram is represented by number 6. Therefore, there should be an X in number 6 of the Venn Diagram for an EIO - 2 Categorical Syllogism.

In the Venn Diagram for an EIO-2 Categorical Syllogism, there is an X in number 6. The statement is true. An EIO-2 Categorical Syllogism consists of a negative major premise, a negative minor premise, and a negative conclusion. In a Venn Diagram, an "X" represents an instance where the two categories overlap, and number 6 is the area where the two categories overlap negatively. So, in this case, the presence of an X in number 6 indicates the truth of the EIO-2 Categorical Syllogism.

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The variance of each estimator, V(Θ1) and V(Θ2), is equal to σ\(^2\). This means that both estimators have the same variance, and the coefficient of σ\(^2\) for each estimator is 1.

a) To determine if the estimators Θ1 and Θ2 are unbiased estimators of μ, we need to check if the expected value of each estimator equals μ. An estimator is unbiased if its expected value is equal to the parameter being estimated. Let's calculate the expected values of Θ1 and Θ2:

E(Θ1) = E(8X1 + 7X2) = 8E(X1) + 7E(X2) = 8μ + 7μ = 15μ

E(Θ2) = E(87X1 + X2) = 87E(X1) + E(X2) = 87μ + μ = 88μ

Since both E(Θ1) and E(Θ2) equal μ, we can conclude that both estimators are unbiased estimators of μ.

b) The variance of an estimator measures its variability or precision. Let's calculate the variances of Θ1 and Θ2:

V(Θ1) = V(8X1 + 7X2) = 64V(X1) + 49V(X2) = 64σ\(^2\) + 49σ\(^2\) = 113σ\(^2\)

V(Θ2) = V(87X1 + X2) = 7569V(X1) + V(X2) = 7569σ\(^2\) + σ\(^2\) = 7570σ\(^2\)

Therefore, the variance of each estimator, V(Θ1) and V(Θ2), is equal to σ\(^2\). This means that both estimators have the same variance, and the coefficient of σ\(^2\) for each estimator is 1.

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The given expression is now written in the form of ax+b/cx-d where a, b, c, and d are integers, which is as follows:(27x³ - 12x) / (6x² - 28x) = -3x(9x² - 4) / 4(x - 7)

To write the expression in the form of \(ax+b/cx-d,\) we have to perform the given operation to obtain the same denominator.

Explanation: Given expression is: 9x²-4/6x-4 x 3x/x²-5x

First, let's factor the given denominators.6x-4 = 2(3x-2)x²-5x = x(x-5)

Now let's simplify the expression using the above factors.

9x² - 4/6x - 4 x 3x/x² - 5x

= (9x² - 4)/2(3x - 2) * 3x/x(x - 5)

Next, we will perform multiplication of the numerators and denominators of each expression.

9x² - 4/6x - 4 x 3x/x² - 5x

= [(9x² - 4) * 3x] / [2(3x - 2) * x(x - 5)]

Now, let's simplify the given expression by expanding the numerator.

9x² - 4/6x - 4 x 3x/x² - 5x = [(27x³ - 12x) / (6x² - 28x)]

Finally, let's factor out the common factor from both numerator and denominator of the expression.

9x² - 4/6x - 4 x 3x/x² - 5x = [3x(9x² - 4) / 2(3x - 2) * -2(x - 5)]

Thus, the given expression is now written in the form of ax+b/cx-d where a, b, c, and d are integers, which is as follows:(27x³ - 12x) / (6x² - 28x)

= -3x(9x² - 4) / 4(x - 7)

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The distance between the points (3,-3) (3,5) is 8, according to the definition of distance

The distance between two points is equal to the length of the segment that joins them.

Given the coordinates of two different points (x₁, y₁) and (x₂,y₂), the expression that allows calculating the distance "d" between two different points is the squares of the differences between their coordinates and then find the root of the sum of said squares.

d= √[(x₂ - x₁)² + (y₂ - y₁)²]

In this case, you know:

Substituting in the definition of distance:

d= √[(3 -3)² + (5 - (-3))²]

Solving:

d= √[0² + (5 +3)²]

d= √[0² + 8²]

d= √8²

d= √64

d= 8

Finally, the distance is 8.

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transformations

hope it helps you

Answer:

x : 4

Step-by-step explanation:

The ratio of a number and 4 into algebraic phrase ;

Let the number = x

Expressing the number and 4 as a ratio in algebraic phrase will be written as :

Number : 4

x : 4

The maximum height of the stone is 45 meters. It would take 1 second to reach its maximum height

An equation is an expression that is used to show how numbers and variables are related using mathematical operators

The height (h) of the stone after x seconds is given by:

h(x) = -5(x - 1)² + 45

h(x) = -5(x² - 2x + 1) + 45 = -5x² + 10x + 40

h(x) = -5x² + 10x + 40

The maximum height is at h'(x) = 0, hence:

h'(x) = -10x + 10

-10x + 10 = 0

10x = 10

x = 1

h(1) = -5(1 - 1)² + 45

h(1) = 45

The maximum height of the stone is 45 meters

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Answer:

The product of three consecutive positive integers is always divisible by 6.

We can prove this statement using mathematical induction. The statement we want to prove is that the product of three consecutive positive integers is divisible by 6. To do this, we will use the induction hypothesis:

Let P(n) be the statement: The product of three consecutive positive integers starting with n is divisible by 6.

We will prove that P(n) is true for all natural numbers n.

Base Case: Let n = 1. Then the product of the three consecutive positive integers (1, 2, 3) is 6, which is divisible by 6. Therefore, P(1) is true.

Inductive Step: Assume that P(k) is true, where k is any natural number. We will now prove that P(k + 1) is also true.

The three consecutive positive integers starting with k + 1 are k + 1, k + 2, and k + 3. We can then rewrite the product of these three consecutive positive integers as follows:

(k + 1)(k + 2)(k + 3) = k3 + 3k2 + 6k + 6.

Since we assumed that P(k) is true, we know that k3 + 3k2 + 6k is divisible by 6. Therefore, the entire expression k3 + 3k2 + 6k + 6 is also divisible by 6. Since 6 is also added to this expression, we know that the product of three consecutive positive integers starting with k + 1 is divisible by 6. Therefore, P(k + 1) is true.

Since we have proven the base case and the inductive step, we have proven the statement for all natural numbers n. Therefore, the product of three consecutive positive integers is always divisible by 6.

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Answer:

3. x=16

4. x=51

Step-by-step explanation:

3. 3x-8=x+24

2x=32

x=16

4. 2/3(x+27)= 180-(3x-25)

2/3x+18=180-3x+25

11/3x=187

11x=561

x=51

Step-by-step explanation:

Excercise 3:

By Alternate Exterior angles,

(x + 24)° = (3x - 8)°.

=> 2x = 32, x = 16.

Excercise 4:

By C-angles,

2/3 * (x + 27)° + (3x - 25)° = 180°.

=> 2x/3 + 18 + 3x - 25 = 180

=> 11x/3 = 187

=> x = 187 * (3/11) = 51.

The area of figure is 272.52 square units.

The given figure consist:

A parallelogram of,

length = 12

width   = 18

Since we know that,

Area of parallelogram  = length x width

                                      = 12 x 18

                                      = 216 square units

And it consist of a semicircle of,

radius = 12/2

          = 6

Since we know that,

Area of semicircle is = πr²/2

                                  = 3.14 x 6 x 6/2

                                  = 56.52 square units

Thus,

The area of figure is sum of both areas,

⇒ 216 + 56.52

Hence, area is

⇒ 272.52 square units

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Answer: 12: 6 and 24: 12 and 3: 1.5

Step-by-step explanation: A ratio can be equivalent through multiplication such as 6: 3 to 12: 6  

Answer:

2 : 1,

12/

Step-by-step explanation:

all you have to do is cross out the numbers, basically simplify the

the answer is 2:1 because in 3's multiplication table,

3×2=

and

3×1=

similarly , for 12/6, divide instead of multiplication, there area few other ratios equivalent to 6/

The given situation describes a point which starts from the origin, moves along the x-axis for a distance of 2 units in the positive direction, and then moves downwards along the z-axis for a distance of 4 units.

What is the position or the coordinates of the point?The position of the point can be represented as (x,y,z).Since the point moves only in x and z direction, the y coordinate will be zero.Since the point moves along the positive direction of x-axis, the value of x will be 2 unitsSince the point moves downwards along the z-axis, the value of z will be -4 units.

This is because the positive direction of the z-axis is upwards.Thus, the coordinates of the position of the point are (2, 0, -4).(x,y,z) = (2, 0, -4)

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The value of x if both lines intersect is 2/3

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Given the equation of a line that passed through the points (0, 4) and (1, 1) expressed as h(x) = -3x +4

The equation of the second line g(x) passing through the points (-2, 2) and (0, 2) is g(x) = 2

If the lines intersect, then h(x) = g(x)

Substituting the functions to get the value of "x"

-3x + 4 = 2

Subtract 4 from both sides

-3x + 4 - 4 = 2 - 4

-3x = - 2

Divide both sides by - 3

x = 2 / 3

Hence the value of x if both lines intersect is 2/3

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Answer:

2/3

Step-by-step explanation:

edge23

The confidence interval for the given numbers, with a sample proportion of 0.88 and a confidence level of 0.94, is approximately (0.798, 0.962) when rounded to two decimal places.

To calculate the confidence interval for a random sample with a sample proportion of 0.88 and a confidence level of 0.94, we can use the formula:

\[ \text{Confidence Interval} = \text{Sample Proportion} \pm \text{Margin of Error} \]

The margin of error can be calculated using the formula:

\[ \text{Margin of Error} = \text{Critical Value} \times \text{Standard Error} \]

The critical value can be obtained from the Z-table or calculated using the inverse cumulative distribution function for the standard normal distribution.

Since the level of difficulty is set to 2, we can assume a two-tailed test. The critical value for a 94% confidence level with a two-tailed test is approximately 1.99.

The standard error can be calculated using the formula:

\[ \text{Standard Error} = \sqrt{\frac{\text{Sample Proportion} \times (1 - \text{Sample Proportion})}{\text{Sample Size}}} \]

Plugging in the values:

Sample Proportion (\( p \)): 0.88

Sample Size (\( n \)): 53

Confidence Level: 0.94

Critical Value (\( z \)): 1.99

We can calculate the standard error:

\[ \text{Standard Error} = \sqrt{\frac{0.88 \times (1 - 0.88)}{53}} \]

Now, we can calculate the margin of error:

\[ \text{Margin of Error} = 1.99 \times \text{Standard Error} \]

Finally, we can calculate the confidence interval:

\[ \text{Confidence Interval} = 0.88 \pm \text{Margin of Error} \]

Calculating the values:

Standard Error ≈ 0.041

Margin of Error ≈ 0.082

Confidence Interval ≈ (0.798, 0.962)

Therefore, the confidence interval for the given numbers, with a sample proportion of 0.88 and a confidence level of 0.94, is approximately (0.798, 0.962) when rounded to two decimal places.

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Answer:

A. 12 and 43

Step-by-step explanation:

Pythagorean theorem is given as = \( a^2 + b^2 = c^2 \)

Where, a and b are the two legs of the right triangle, while c is the hypotenuse/longest leg of the triangle.

In the figure given, the side of the largest square = the hypotenuse of the triangle = c

While the side of the other squares = a and b respectively, of the triangle.

Area of square = s², where s is the side length of the square.

Since we are given that the area of the largest square = 55, this is also equivalent to c² in the Pythagorean theorem.

The side length of the largest square = √55 ≈ 7.4 = c

Therefore, to determine the area of the other squares, check the options given if they add up to give 55.

Option A: 12 + 43 = 55

Option B: 14 + 40 = 54

Option C : 16 + 37 = 53.

The correct possible areas of the smaller squares would be A. 12 and 43.

The main answer to your question about the sample worksheet would be the method or calculation used to determine the lower bound of compression for the process.

To compute the lower bound of compression, you would need to follow these steps:

Start by identifying the original size of the data or file before compression. This could be measured in bytes, kilobytes, or any other unit of measurement.

Then, determine the size of the data or file after compression. Again, this can be measured in the same unit as the original size.

Calculate the percentage decrease in size by using the formula:

Compression percentage = [(Original size - Compressed size) / Original size] * 100

Substitute the actual values into the formula and perform the calculations.

To further explain the calculation, let's assume the original size of the data is 500 kilobytes (KB) and after compression, it becomes 250 KB. Using the formula, we can find the compression percentage:

Compression percentage = [(500 KB - 250 KB) / 500 KB] * 100
                     = (250 KB / 500 KB) * 100
                     = 0.5 * 100
                     = 50%

Therefore, the lower bound of compression for this process is 50%.

In conclusion, the main answer to your question is to calculate the compression percentage using the given formula. In this example, the lower bound of compression is determined to be 50%.

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Answer:y=3/20+12m+6

Step-by-step explanation: The equation for these types of problems are y=mx+b

the y is the second number, so in the first one the y would be -6, so you replace the y with the -6 and the x with -12

so now the equation is -6=-12m+b

you add the -12m to the other side to make 12m+6=b

now onto the second one, the 9 is the y and the 8 is the x, now the equation is 9=8m+b

this time you replace the b with the equation you got earlier (12m+6=b)

So the equation is 9=8m+12m+6

minus the 6 on both sides

3=8m+12m

add the m's

3=20m

3/20=m

Now you replace the m and the b

y=3/20x+12m+6

(Hopefully im sorry if this isnint correct :) )