The owner of a sports complex wants to carpet a hallway connecting two buildings. The carpet costs $2.50 per square foot. How much does it cost to carpet the hallway?
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If the area of the carpet will be 301 square feet. Then the cost of the carpet will be $ 752.5.
What is a trapezium?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.
The owner of a sports complex wants to carpet a hallway connecting two buildings.
The diagram is given below.
The carpet costs $2.50 per square foot.
The area of the carpet will be given by the area of the trapezium.
Area = 1/2 (24 + 28) x 7 + 1/2 (15 + 19) x 7
Area = 0.5 x 52 x 7 + 0.5 x 34 x 7
Area = 182 + 119
Area = 301 square feet
Then the cost of the carpet will be
Cost of carpet = $ 2.5 x 301
Cost of carpet = $752.5
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Related Questions
What is the volume, in cubic meters, of a rectangular prism with a height of 14 meters, a width of 12 meters, and a length of 2 meters?
Answers
Answer:
The volume of a rectangular prism with a height of 14 m, a width of 12 m, and a length of 2 m is equal to 336 m³.
General Formulas and Concepts:
Geometry
Volume Formula [Rectangular Prism]:
[tex]\displaystyle V = lwh[/tex]
Step-by-step explanation:
Step 1: Define
Identify given variables.
h = 14 m
w = 12 m
l = 2 m
Step 2: Find Volume
[Volume Formula - Rectangular Prism] Substitute in variables:[tex]\displaystyle V = (14 \ \text{cm})(12 \ \text{cm})(2 \ \text{cm})[/tex]Evaluate:
[tex]\displaystyle V = \boxed{ 336 \ \text{cm}^3 }[/tex]
∴ the volume of the rectangular prism with the given dimensions is equal to 336 cm³.
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Topic: Geometry
What is the cotθ in the right triangle shown?
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Please help ASAP!
George believes the Art Club students at his school have an unfair advantage in being assigned to the art class they request. He asked 500 students at his school the following questions: "Are you in the Art Club?" and "Did you get the art class you requested?" The results are shown in the table below:
Art Club Not in Art Club Total
Received art class requested 100 265 365
Did not get art class requested 65 70 135
Total 165 335 500
Help George determine if all students at his school have an equal opportunity to get into the art class they requested. Show your work, and explain your process for determining the fairness of the class assignment process.
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165 total students in art club. 100 of those got the requested class.
100/165 = 0.6061
335 total students not in art club. 265 got the requested class.
265/335 = 0.7910
the probability was higher for kids not in art club, so all students had an equal opportunity.
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math
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math geniuses pls help!!!
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pls check other questions as well thanks,!
Answers
An experimental study involves the researcher seeking to affect the results on purpose. The given situation is an observational study.
What are surveys, experiments, and observational studies?Surveys are one type of observational study since the researchers have no control over the results. Statistical surveys collect data from a sample group in order to learn more about the overall population.The sample population being examined is measured, or surveyed, in observational research. The researcher watches the individuals and measures variables but makes no attempt to influence the population or intervene in the study.In contrast to an observational study, an experimental study involves the researcher seeking to affect the results on purpose. The objective is to find out what influence a certain therapy has on the result.Since the researcher needs to find if a certain medicine improves the symptoms of the flu, therefore, the objective is to find out what influence a certain therapy has on the result. Hence, the given situation is an observational study.
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Which figures can be circumscribed by a circle? Select all that apply.
Answers
Answer:
A, B, C, D
Step-by-step explanation:
They All add up to 360
Answer:
B and D
Step-by-step explanation:
figures which can be circumscribed by a circle are called cyclic quadrilaterals.
the opposite angles of a cyclic quadrilateral sum to 180°
A
∠ B + ∠ D = 82° + 56° = 138° ≠ 180° ← not cyclic
B
∠ B + ∠ D = 103° + 77° = 180° and ∠ A + ∠ C = 90° + 90° = 180° ← cyclic
C
∠ B + ∠ D = 112° + 90° = 202° ≠ 180° ← not cyclic
D
∠ B + ∠ D = 90° + 90° = 180° and ∠ A + ∠ C = 90° + 90° = 180°← cyclic
Then B and D can be circumscribed by a circle
Ella jewelry box contains 20 earring: 4 are blue 6 are green,2 are red, and 8 are whit. she took one earring from box and then replaced. she repeated this process 50 times and recorded her result in follwing table
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Color Number of times picked from jewelry box
blue 14
green 8
red 16
white 12
What's the theoretical possibility of choosing a red earring?(fraction and percent) What's the Experimental possibility of choosing a red earring?(fraction and percent) What's the theoretical possibility of choosing a blue earring?(fraction and percent) What's the Experimental possibility of choosing a blue earring?(fraction and percent)The probability values are:
The theoretical probability of selecting a red earring is 25%The experimental probability of selecting a red earring is 10%The theoretical probability of selecting a blue earring is 25%The experimental probability of selecting a blue earring is 20%How to determine the theoretical probability of red earring?Here, we use the color of the earrings;
There are 4 colors in total, one of which is red
So, the theoretical probability of selecting a red earring is:
P(Red) = n(Red)/Total
This gives
P(Red) = 1/4 = 25%
Hence, the theoretical probability of selecting a red earring is 25%
How to determine the experimental probability of red earring?The distribution of the earrings is given as:
Red = 2
Total = 20
The probability of selecting a red earring is:
P(Red) = n(Red)/Total
So, we have:
P(Red) = 2/20
Evaluate
P(Red) = 1/10 or 10%
Hence, the experimental probability of selecting a red earring is 10%
How to determine the theoretical probability of blue earring?Here, we use the color of the earrings;
There are 4 colors in total, one of which is blue
So, the theoretical probability of selecting a blue earring is:
P(Blue) = n(Blue)/Total
This gives
P(Blue) = 1/4 = 25%
Hence, the theoretical probability of selecting a blue earring is 25%
How to determine the experimental probability of blue earring?The distribution of the earrings is given as:
Blue = 4
Total = 20
The probability of selecting a blue earring is:
P(Blue) = n(Blue)/Total
So, we have:
P(Blue) = 4/20
Evaluate
P(Blue) = 1/5 or 20%
Hence, the experimental probability of selecting a blue earring is 20%
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The area of a DVD is 36π cm. What is the diameter of the DVD?
Answers
Answer:
12 cm
Step-by-step explanation:
shape of DVD is circle
Area of circle = 36π
πr² = 36π
r² = 36
r = √36
r = 6
Diameter (d) = 2r = 2(6) = 12cm
How many yards is 6 inches
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Answer: 6 inches equals 0.16666667 yards, or about 0.2 yards.
Step-by-step explanation: 1 yard equals 36 inches. By that reasoning, we can divide 6 by 36, since we are trying to find out how many yards are in 6 inches.
6/36 = 0.16666667
The answer is 0.16666667 yards, or about 0.2 yards.
Mrs. Smith gave two classes the same quiz. She randomly selected 5 students from each class to compare the classes. The scores of the five students are shown below.
Class A: 80, 82, 74, 92, 94
Class B: 82, 80, 88, 86, 82
What are the mean and range for each class?
Using the information found in Part A, which class could Mrs. Smith report had the more consistent performance on the unit test? Explain what this means in terms of the situation.
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Answer:
class B because every scores range is withing 6 or less
Answer:
See below ~
Step-by-step explanation:
Class A :
Mean = 80 + 82 + 74 + 92 + 94 / 5Mean = 422/5Mean = 84.4Range = Highest score - Lowest scoreRange = 94 - 74Range = 20
Class B :
Mean = 82 + 80 + 88 + 86 + 82 / 5Mean = 418/2Mean = 83.6Range = Highest - LowestRange = 88 - 80Range = 8
Class B had the more consistent performance because the range of scores is significantly less. This means that the students in Class B were more prepared than Class A for a quiz.
PLEASE HELP ILL MARK BRAINEST!!!!
Answers
Answer:
(-3,8) would NOT fit the table.
Answer: (-3,8)
Step-by-step explanation: click on the file
What is the range of the data set?
Answers
Answer:
In statistics, the range is the spread of your data from the lowest to the highest value in the distribution.
Step-by-step explanation:
Answer:
The range of a set of data is the difference between the highest and lowest values in the set.
A 10% increase in cigarette prices has been found to result in a _____ decrease of smokers. a. 2% b. 4% c. 10% d. 20% please select the best answer from the choices provided. a b c d
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A 10% increase in cigarette prices has been found to result in a 4% decrease of smokers.
What is the effect of price increase in the demand for cigarettes?An increase in cigarette price will result in a decrease in the demand for cigarettes.
Since more money needs to be spent to but the same product, less consumers can be able to afford it.
Therefore, a 10% increase in cigarette prices has been found to result in a 4% decrease of smokers.
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HELP! need help ASAP, 50 points and brainiest will be given to whoever helps.
Answers
Answer:
10
Step-by-step explanation:
LAST CHANCE FOR TONS OF POINTS!!!!!!! AND BRAINLIEST!!!
A boat can travel 28 miles up a river in the same amount of time it takes to travel 36 miles down the same river. If the current is traveling at 2 miles per hour, what is the speed of the boat in still water?
Answers
Answer:
6
Step-by-step explanation:
Write an exponential function. In your own words, describe the rate of change of this function and what the graph looks like.
ACTUALLY WRITE A FUNCTION PLEASE! I don't care about an explanation.
Answers
An exponential function follows the form a^x, where a is a constant. Other answers incorrectly say it depend on the exponent but that is no true because this is a constant raised to x NOT x raised to a number.
You ask for rate of change in other words derivative
You may recall that the derivative of a^x is a^x*ln(a).
Answer:
y = a × b^x
b > 1
2 × 2 × 2 × 2
Assume all values are greater than 1
This function is a representation of exponential growth.
If b is less than 1, the function is exponential decay.If b is greater than 1, the function will be exponential growth.A can has a height of 11cm and a volume of 486cm^3 . Find the radius of each can . Correct to two decimal places
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If the height is 11 cm and the volume is486 cubic cm. Then the radius of the can will be 3.75 cm.
What is a cylinder?A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
A can has a height of 11 cm and a volume of 486 cubic cm.
Then the radius of the can will be
We know that the volume is given as
Volume = πr²h
486 = π r² x 11
r² = 14.06
r = 3.75 cm
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a juggler needs both rings and bowling pins no more than 12 of these no less than 5 rings
let x represent the rings and y the pins
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The inequality that represent this scenario is x + y ≤ 12 and y > 5
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the rings and y represent the pin
There were no more than 12 of these, hence:
x + y ≤ 12
and
y > 5
The inequality that represent this scenario is x + y ≤ 12 and y > 5
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Answer:
there right i took the test
Step-by-step explanation:
cant add more because they covered it all
The width of a rectangle is 2/3 its length. The perimeter of the rectangle is 400 ft. What is the length, in feet, of the rectangle?
Answers
Answer:
here's your answer....
Part A: Sydney made $18.50 selling lemonade, by the cup, at her yard sale. She sold each cup for $0.50 and received a $3 tip from a neighbor. Write an equation to represent this situation. (4 points)
Part B: Daria made a profit of $21.00 selling lemonade. She sold her lemonade for $0.75 per cup, received a tip of $3 from a neighbor, but also had to buy each plastic cup she used for $0.10 per cup. Write an equation to represent this situation. (4 points)
Part C: Explain how the equations from Part A and Part B differ. (2 points)
Please help (Ithink imma fail a math exam if not)
Answers
Answer:
Part A answer: 0.5x + 3 = 18.50
How I got the answer: 0.5 means how much money she made from each cup. the variable x = how many she sold. 3 equals the tip from the neighbor. and 18.50 is the total price
Part B answer: (0.75x - 0.10x) + 3 = 21.00
How i got the answer: 0.75 is how much money she make from each cup. 0.10 means how many she paid for each cup she used. x = how many cups were sold/bought (should be the same number!). 3 is the tip. and 21.00 is the total price made.
Part C answer: The equations differ because Sydney didn't have to pay for the cups she used, while Daria did. Although they did have the same amount for a tip, Daria made more money than Sydney.
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this should be correct! hopes this help and i wish you good luck on your math exam!
A recipe calls for 1 ¼ cups of sugar and 1 ¾ cups of flour to make one batch of cookies. How much sugar and flour would it take to make 3 batches of cookies?
Answers
Answer:
It will take 3 3/4 cups of sugar and 5 1/4 cups of flour.
Step-by-step explanation:
Multiply 1 1/4 and 1 3/4 by three, because 3 batches of cookies are being made.
1 1/4x3= 3 3/4 cups of sugar
1 3/4x3= 5 1/4 cups of flour
Find the measure of the missing angles.
Answers
Answer:
d = 105° , e = 32° , f = 43°
Step-by-step explanation:
d and 105° are vertically opposite angles and are congruent , then
d = 105°
e and 32° are vertically opposite angles and are congruent , then
e = 32°
105° , e and f lie on a straight line and sum to 180° , that is
105° + e + f = 180°
105° + 32° + f = 180°
137° + f = 180° ( subtract 137° from both sides )
f = 43°
Answer:
d= 105° f= 43° e= 32°
Step-by-step explanation:
angle d = 105° ( vertically opposite angles are equal)
f°+d°+32°= 180 (angles on a straight line)
f+105+32= 180
f+137=180
f= 180-137= 43°
f= 43°
angle .d+f+e = 180° (angles on a straight line)
105+43+e = 180°
148+ e = 180°
e = 180-148
e = 32°
therefore,
d= 105° f= 43° e= 32°
The Kakkar family is building a circular swimming pool. If the radius of the pool is 6 feet, What is its circumference? Use π = 3.14 to solve.
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Work Shown:
C = 2*pi*r
C = 2*3.14*6
C = 37.68
is 2-3y a binomial or a trinomial or polynomial or monomial
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Answer:
binomial
Step-by-step explanation:
i learned about binomials
Which of the following numbers is irrational?
a fraction with numerator negative 15 and denominator 4, a fraction with numerator negative 7 and denominator 9, square root of 4, π
a fraction with numerator negative 15 and denominator 4
a fraction with numerator negative 7 and denominator 9
square root of 4
π
Answers
Answer:
Pi is an irrational number
Answer:
Square root of 4π
An irrational number is never-ending or a fraction, and pi is almost never-ending, making it the only irrational number here since it cannot be written as a fraction.
Other than temperature, state three examples where similar averages are associated with very different distributions. go deeper with one, and discuss how that might work in more detail
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The examples where similar averages are associated with very different distributions include examination results for students, account management commission and the number of goals scored by teams.
What is average?It should be noted that average simply means the mean of a given set of numbers that are given in a data.
In this case, the examples where similar averages are associated with very different distributions include examination results for students, account management commission and the number of goals scored by teams
Let's use examination results to butress our point. A good average examination results mean that the students have a good understanding of what was covered in the subject.
Let's say the average pass mark for a subject is 50. In this situation, someone who scores 50 and above is believed to understand the subject and has a pass mark.
On the other hand, someone who scores 49.8 is considered to have failed the class even though the score is identical. This shows the case of variability and how similar average can mean different things.
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Cody's school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 1 senior citizen ticket and 13 child tickets for a total of $111. The school took in $156 on the second day by selling 12 senior citizen tickets and 9 child tickets. What is the price each of one senior citizen ticket and one child ticket?
Answers
The price of one senior citizen ticket is $7 and the price of one child ticket is $8.
What are the linear equations that represent this question?s + 13c = 111 equation 1
12s + 9c = 156 equation 2
Where:
c = price of one child ticket s = price of one senior citizen ticket What is the price of one children's ticket?Multiply equation 1 by 12
12s + 156c = 1332 equation 3
Subtract equation 2 from equation 3
1176 = 157c
c = $8
What is the price of one senior citizen's ticket?
Substitute for c in equation 1:
s + 13(8) = 111
s = 111 - 104
s = $7
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Verify each trigonometric identity
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Answer:
hope it helps you.......
If you divide a number by 8, the answer is
20. What is the number?
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Answer:
160
Step-by-step explanation:
160 divided 8 =20
Answer:
The answer is 160
Step-by-step explanation:
Let the unknown number be x.
x/8=20
x and 8 are linked by a division so if 8 crossed the equality sign it becomes multiplication. So we'll have
x=20*8
x=160
Therefore x is equal to 160.
LET'S CHECK IF IT'S CORRECT
160/8=20
An investment of $10,000 is invested for 6 years at r% pa compounded weekly. If the investment grows to $14320.44, calculate the value of r.
Answers
I m sorry I hv no idea
.........
x2 + 3x + 1 = 5. know the answer but need to understand how?
Answers
Answer:
[tex]x=-4,\: x=1[/tex]
Step-by-step explanation:
[tex]x^2+3x+1=5\\\\x^2+3x-4=0\\\\(x+4)(x-1)=0\\\\x=-4,\: x=1[/tex]
Make sure you use the Zero Product Property to solve for each factor when the equation is set equal to 0 and can be factored.