A peice of art is in the shape of a rectangular pyramid like a the figure shown below.
how much glass is needed to cover the entire pyramid?
​​​

The calculated value of the area of shaded sector is 1.125π

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

Radius, PQ = 3 units

Central angle, QPR = 45 degrees

The area of shaded sector is calculated as

Area = Central angle/360 * π * Radius^2

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

Area = 45/360 * π * 3^2

Evaluate

Area = 1.125π

Hence, the area is 1.125π

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Answer:

Angle A° is less than 90°

Angle B° is less than 90°

Step-by-step explanation:

Angle A° = Angle B° = 45°

Answer:

Step-by-step explanation:

To solve the system of equations:

3x + 4y = 17 (equation 1)

-4x - 3v = -18 (equation 2)

We can use either the substitution method or the elimination method. Here, we will use the elimination method to eliminate one of the variables.

Multiplying equation 1 by 4 and equation 2 by -3, we get:

12x + 16y = 68 (equation 3)

12x + 9v = 54 (equation 4)

Subtracting equation 4 from equation 3, we get:

7v = 14

Dividing both sides by 7, we get:

v = 2

Substituting v = 2 into equation 4, we get:

12x + 9(2) = 54

12x + 18 = 54

12x = 36

x = 3

Substituting x = 3 into equation 1, we get:

3(3) + 4y = 17

9 + 4y = 17

4y = 8

y = 2

Therefore, the solution to the system of equations is (3, 2).

The point that is not a solution of the system of inequalities is (3, 1).

A point is a solution of the system of inequalities only if it lies in the shaded region (the green one) or in top of the solid line (this would be the line with negative slope).

Then from the given points the ones that are solutions are:

(1, 3) (it lies on the shaded region)

(1, 4) (it lies in the shaded region)

(0, 5) (it lies in the shaded region)

Then the anser is the remaining one (3, 1), that is not a solution.

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You would need a sample size of at least 138.32 to obtain a 90% confidence interval with a margin of error of plus or minus 3.

To determine whether the credit scores have decreased since 2019, we need to compare the 2019 average credit score of 749 with the lower bound of the 2022 confidence interval of 730.343. Since 730.343 is lower than 749, we can conclude that there is evidence to suggest that the credit scores have decreased since 2019.

Finally, if you want to obtain a 90% confidence interval with a margin of error of plus or minus 3, you can use the formula for the sample size n =

=> (z² x s²) / (E²),

where z is the critical value, s is the estimated standard deviation from a previous study or pilot sample, and E is the desired margin of error.

Since s is unknown in this case, we can use a conservative estimate of 50 for the standard deviation.

Therefore, n = (1.725² x 50²) / (3²) = 138.32.

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the width of the reproduced piece is 2.78 inches.

Now, we first need to find the original area of the painting.

Since, The original area is,

= 29 inches x 25 inches

= 725 square inches

Now. we know that the reproduction has 1/9 of the original area, which means that the area of the reproduction is:

= 725 square inches / 9

= 80.56 square inches

Hence, for the width of the reproduced piece, we need to find the width of a rectangle whose area is 80.56 square inches, given that the height is 29 inches which remains constant in the reproduction.

Hence, We can use the formula for the area of a rectangle,

Area = length x width

In this case, we know the area is, 80.56 square inches)

and the length is, 29 inches

Thus, we can solve for the width:

80.56 square inches = 29 inches x width

width = 2.78 inches

Thus, the width of the reproduced piece is 2.78 inches.

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13 is the y-intercept, which is the initial number of space.

6 is the slope, which means the number of spaces is increasing by 6.

x represent number of rolls.

40 the minimum number of spaces required to win the game.

The fewest number of rolls it would take Li to win the game is 0.054 rolls.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

Based on the information provided about Li's current situation, we have the following inequality:

13 ÷ 6x ≥ 40

13/6x ≥ 40

13 ≥ 240x

x ≤ 0.054

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The value of z that divides the standard normal distribution so that half the area is on one side and half is on the other is 0.00.

To understand this better, let's visualize the standard normal distribution. The graph of the standard normal distribution is a bell-shaped curve that is symmetrical around the mean of 0.

When we say that half the area is on one side and half is on the other, we mean that the area under the curve to the left of the z-score is equal to the area under the curve to the right of the z-score.

Since the standard normal distribution is symmetric, this occurs when the z-score is equal to 0.00. At this point, the area to the left of 0.00 is 0.50 (or 50%), and the area to the right of 0.00 is also 0.50 (or 50%).

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The triangle which has hypotenuse GF include the following: C. triangle EFG.

In Mathematics and Geometry, 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.

In Mathematics and Geometry, a right angle can be defined as a type of angle that is formed in a triangle by the intersection of two (2) straight lines at 90 degrees. This ultimately implies that, a right angled triangle has a measure of 90 degrees.

By critically observing the image (see attachment), we can reasonably infer and logically deduce that triangle EFG has hypotenuse GF because it is opposite the right angle (90 degrees).

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Complete Question:

Which triangle has hypotenuse GF?

triangle AFG

triangle BFG

triangle EFG

triangle DFG

The amount of money that the pool manager paid for each item are as follows;

chlorine tablets: $54.

pH test kit: $6.6.

In this scenario and exercise, we would determine the sales price after a discount of 40 percent is applied to the total cost of the two items as follows;

Discount of 40% off = 100 - 50

Discount of 40% off = 60%

Next, we would calculate 50 percent of the original price of of each item as follows;

New sales price for chlorine tablets = 60/100 × 90

New sales price for chlorine tablets = 0.6 × 90

New sales price for chlorine tablets = $54.

New sales price for pH test kit = 60/100 × 11

New sales price for pH test kit = 0.6 × 11

New sales price for pH test kit = $6.6.

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The width and perimeter of his field will be 67.4 feet and 198.8 feet, respectively.

Given that:

Area, A = 2,156.8 square feet

Length, L = 32 feet

Assume L is the length and W is the width. Then the area is given as,

A = L × W

The width of the rectangle will be calculated as,

2,156.8 = 32W

W = 67.4 feet

And the perimeter is calculated as,

P = 2(32 + 67.4)

P = 198.8 feet

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Step-by-step explanation:

I'm sorry! Although, I cannot perform the physical measurements required for this project, I can provide some guidance on how to approach the project.

Part One of the project involves measuring the heights and arm spans of 11 people, in addition to your own measurements. If you do not have access to 11 people to measure, you can use the sample data provided in the table.

Part Two of the project involves creating a scatter plot of the data using graphing software of your choice. You should also predict the line of best fit and sketch it on your graph.

Part Three of the project involves analyzing the scatter plot and the line of best fit. You will need to determine which variable should be plotted on the x-axis and which should be plotted on the y-axis. You should also write the equation of the line of best fit using the slope-intercept form of the line y = mx + b and explain what the slope and y-intercept represent within the context of your graph.

Additionally, you will need to test the residuals of two other points to determine how well the line of best fit models the data, use the line of best fit to describe the data correlation, and use the line of best fit to approximate the height of a person with a given arm span and vice versa.

Make sure to follow the rubric provided and include your scatter plot and answers to the questions in a word processing document.

Answer: The answer is Karen needs $11.

Hope this helps!!!!

Step-by-step explanation: Please give Brainlist.

I can answer more of your questions just ask.

The first three terms of the sequence are 9, 18 and 27

An arithmetic sequence is simply defined in algebra as a sequence of numbers where the difference between every two consecutive terms is the same.

From the information given, we have that;

The nth term of the sequence is given with the equation,

an = 3(3)n​

For the first term, we have that n = 1

Substitute the values

a1 = 3(3)1

expand the bracket

a1 = 9

for the second term, n = 2

Substitute the value

a2 = 3(3)2

expand the bracket

a2 = 18

For the third term

a3= 3(3)(3)

a3 = 27

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Histograms are primarily used to demonstrate how often data values fall into certain ranges. So, option 3 is correct.

Histograms are graphical representations of a dataset's distribution, with the data separated into intervals or "bins" and the frequency of values falling into each bin represented as bars.

Histograms can be used to find the trends and the specific information in the data for the help of data analyst. They are especially useful for huge datasets when the distribution of values from a simple list may be difficult to understand. Although histogram could be used for more than two data types and but this is not there natural purpose. Hence option option 3 is correct choice.

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Complete question - A data analyst creates a histogram to share in a presentation. what are histograms used to demonstrate?

1. how two or more values contrast and compare

2. how much each part of something makes up the whole

3. how often data values fall into certain ranges

4. how data has changed over time.

Answer:

6x^2+16x+8

Step-by-step explanation:

it is handwritten in the photo

Answer:

[tex]x = -5\\y = 4[/tex]

Step-by-step explanation:

Not sure I understand that part of your question ...not separate, the xy for both combined.

Here are the solution steps to determine x and y values

Given equations are

[tex]\begin{amatrix}x-2y=-13 \dots [1] \\\\ y=-2x-6\dots\dots[2]\end{amatrix}[/tex]

In equation [2] get all the variables to the left side and the constant on ther right side:

Let's examine equations [1] and [3]:

[tex]\begin{aligned}x - 2y &= - 13 \dots [1]\\ 2x + y &= -6\;\;\dots[3]\\\end{aligned}[/tex]

Multiply eq [1], [tex]x - 2y = -13[/tex]  throughout by [tex]2[/tex]:
[tex]2(x - 2y) &= 2(- 13) \implies 2x - 4y = -26 \dots[4]\\[/tex]

Subtract the equations:
[tex]2x+y=-6\\-\\\underline{2x-4y=-26}\\\\5y=20\\\\y = \dfrac{20}{5} = 4[/tex]

[tex]\mathrm{For\:}2x-4y=-26\mathrm{\:plug\:in\:}y=4[/tex]:

[tex]2x-4\cdot \:4=-26\:\\\\2x - 16 = -26\\\\2x = -26 + 16\\\\2x = -10\\\\x = -10/2 = -5[/tex]

After set s1.retainAll(s2), s1 is [2].

After performing the operation s1.retainAll(s2) on sets s1 [1, 2, 5] and s2 [2, 3, 6], the set s1 would become [2].
To determine the value of s1, the following steps has to be taken:

1. Start with sets s1 [1, 2, 5] and s2 [2, 3, 6].
2. Perform the retainAll() operation on s1 with s2.
3. The retainAll() operation keeps only the elements that are common in both sets.
4. The common element in both sets is 2.
5. Therefore, suppose if set s1 is [1, 2, 5] and set s2 is [2, 3, 6] then, after s1.retainAll(s2), the set s1 becomes [2].

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Step-by-step explanation:

1. The mean of the data given is 7.1

2. The median of the data given is 7

ADDITIONAL:

3. The mode is 4

4. The range is 7

5. The minimum is 4

6. The maximum is 11

7. There are no outliers

The area formed by the water pattern of a sprinkler that can spray out 14 feet in any direction is about 615.44 square feet.

Explain the term area.

Area is the measure of the size of a two-dimensional surface or region, usually measured in square units. It is the amount of space enclosed by a flat shape or the surface of an object. The area of a shape can be calculated using formulas based on its dimensions and geometry.

According to the given information

The formula for calculating the area of a circle is A = πr² where A is the area and r is the radius of the circle. In this case, r = 14 feet and π = 3.14 so A = 3.14 x (14)² = 615.44 square feet

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The value of n in the given expression is 4.

Given that an expression 8⁹ = 8ⁿ·8⁵ we need to find the value of n,

So,

8⁹ = 8ⁿ·8⁵

8⁹/8⁵ = 8ⁿ

8⁽⁹⁻⁵⁾ = 8ⁿ

8ⁿ = 8⁴

n = 4

Hence the value of n in the given expression is 4.

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Answer:

Cylinder problem:

28.26 = 3.14(r^2)(9)

28.26 = 28.26(r^2), so r = 1 cm

Trapezoid problem:

Since we have similar trapezoids, the side lengths of WXYZ are each 5 times the side lengths of ABCD.

60/12 = 5, so b = 5 × 10 = 50 inches

Integrating and evaluating the function gives f(x) = 1/12x⁴ - 2/3x³ + 3/2x² - 5x and f(2) = -8

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

∫ 1/3x³ - 2x² + 3x - 5 dx

The rule of integration is

x^n = x^(n + 1)/(n + 1)

using the above as a guide, we have the following:

∫ 1/3x³ - 2x² + 3x - 5 dx = 1/12x⁴ - 2/3x³ + 3/2x² - 5x

So, we have

f(x) = 1/12x⁴ - 2/3x³ + 3/2x² - 5x

Next, we are to calculate f(2)

This means that x = 2

So, we have

f(2) = 1/12(2)⁴ - 2/3(2)³ + 3/2(2)² - 5(2)

Evaluate

f(2) = -8

Hence, the value of f(2) is -8

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" To break even, Liza must answer 2 questions correctly to give her 6 points, because she now has –6 points and the result would be a score of 0 "

Liza omitted three questions.

Liza's score is therefore 3 * (-2) = - 6

Say Liza correctly responds to a question.

so, score = 3n.

3n - 6 = 0

=> 3n = 6

=> n = 2

the appropriate statement is;

Given that Liza currently has -6 points and a score of 0 as a result, she needs to properly answer 2 questions in order to receive 6 points in order to break even.

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Missing parts;

Liza is playing a game in which she earns 3 points for each correct response but loses 2 points for each incorrect response. She missed the first 3 questions. Right now she just hopes to break even. Which statement is true?

To break even, Liza must answer 3 questions correctly to cancel out the 3 she answered incorrectly.

To break even, Liza must answer 2 questions correctly to give her 6 points, because she now has –6 points and the result would be a score of 0.

To break even, Liza must answer 6 questions correctly to give her 6 points, because she now has –6 points and the result would be a score of 0.

To break even, Liza must answer 1 question correctly, because she needs 3 points to cancel out the 3 questions she answered incorrectly

If the 2 thirds of the sum of two numbers are 74 and the 3 fifths of their difference 9, the two numbers are 63 and 48.

Let x and y be the two numbers. Then we have two equations based on the given information:

2/3(x+y) = 74 ... (1)

3/5(x-y) = 9 ... (2)

To solve for x and y, we can start by isolating one variable in terms of the other from one of the equations. For example, from equation (1), we have:

x + y = (3/2) * 74

x + y = 111

Next, we can substitute this value of (x + y) into equation (2) and solve for the other variable:

3/5(x - y) = 9

x - y = 15

Now we have two equations with two variables:

x + y = 111

x - y = 15

Solving for x and y by adding the two equations gives:

2x = 126

x = 63

Substituting this value of x into either equation gives:

y = 48

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Complete question is:

The 2 thirds of the sum of two numbers are 74 and the 3 fifths of their difference 9. Find the two numbers.

The ratio of y to x is not constant for each pair of values, we cannot conclude that the relationship between x and y is proportional.

Define constant?

A constant is a fixed value or quantity that does not change in a particular context or situation.

The tables you provided appear to show a proportional relationship between x and y. Specifically, the ratio of y to x is constant for each pair of values. We can confirm this by computing the ratios:

For the first table:

Ratio of y to x for the pair (2,6): 6/2 = 3

Ratio of y to x for the pair (3,9): 9/3 = 3

Ratio of y to x for the pair (4,12): 12/4 = 3

Since the ratio of y to x is constant for each pair of values, we can conclude that the relationship between x and y is proportional.

Similarly, for the second table:

The ratio of y to x for the pair (2, 1): 1/2 = 0.5

The ratio of y to x for the pair (4, 8): 8/4 = 2

The ratio of y to x for the pair (12, 16): 16/12 = 4/3

Hence, the ratio of y to x is not constant for each pair of values, we cannot conclude that the relationship between x and y is proportional.

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The complete question is in the attached image.

Answer:

Great question!!

Step-by-step explanation:

I don't have an answer for you, although, I'm sure that you will figure it out on your own, or god forbid, ask/email your teacher or peer! also, keep in mind, don't share your actual identity online:)

For the fixed expenses, Penders spends $150 less than the budgeted amount.

A budget is a written plan that you make to decide how much money you will spend each month. A budget can help you ensure that you have enough money each month. If you don't have a budget, you may run out of money before your next payday. Your budget reveals how much money you make.

The three major budgets are as follows:

Budget that is balanced. A balanced budget is one in which the expected government expenses equal the estimated government receipts during a given fiscal year.

Budget Surplus. The surplus budget is the second of the three types of budgets.

Budget Deficit.

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An employee receives a 2% rise once every year. If an employee's starting salary is $61,900.00, salary after seven years will be $71,103.64.

We will calculate the salary for each year till 7th year.

Salary after 1 year = Original salary × (100 + raise)/100

= 61,900 × (100+2)/100
= 61,900 × 102/100

= $63,138

Salary after second year = salary after first year × 1.02

= 63,138 × 1.02

= $ 64,400.76

Salary after third year = salary after second year × 1.02

= 64,400.76 × 1.02

= $ 65,688.78

Salary after fourth year = salary after third year × 1.02

= 65,688.78 × 1.02

= $ 67,002.55

Salary after fifth year = salary after fourth year × 1.02

= $ 67,002.55 × 1.02

= $ 68,342.60

Salary after sixth year = salary after fifth year × 1.02

= $ 68,342.60 × 1.02

= $ 69,709.45

Salary after seventh year = salary after sixth year × 1.02

= $ 69,709.45 × 1.02

= $ 71,103.64

So, the final salary after seven years after all the increments will be $ 71,103.64

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Answer:

Answer is B- 5 3/14.

I just need to fill in characters for this to submit, but hopefully this helped you out!