The Shah family basement floor is shaped like a tropezoidal. The basement has sides of 36 feet and 24 feet and two sides of 21 feet. They are going to carpet the basement. The carpeting will cost $35 per square yard. What is the area, in square feet, of the basement floor?​

Answers

Answer 1

The area in square feet of the the basement floor that is trapezoidal is  603.6 feet square.

Area of a trapezium

area = 1 / 2 (a + b)h

where

a and b are the base of the trapeziumh = height of the trapezium.

Therefore,

a = 24 ft

b = 36 ft

h² = 21² - 6²

h² = √405

h = 20.1246117975

h = 20.12 ft

Therefore,

area = 1 / 2 (24 + 36)20.12

area = 603.6 ft² = 67.066667 yard²

Therefore,

1 yard² = $35

67.1 yard² = ?

cost of carpeting = 35 × 67.1 = $2348.5

learn more on trapezium here: https://brainly.com/question/8591668


Related Questions

Darya is a real estate broker with a house listing. She estimates that this listing will cost her ​$2300 for various expenses. If Darya sells the house within 6​ months, she will receive a commission of ​$20,000. If it takes longer than 6​ months, the listing will​ expire, and​ she'll lose the ​$2300 she spent on expenses. She estimates the probability that​ she'll sell the house within 6 months is 80%. Determine​ Darya's expectation for this listing.

Answers

Using a discrete distribution, it is found that Darya's expectation for this listing is of $13,700.

What is the mean of a discrete distribution?

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

In this problem, considering the situation described in the text, the distribution is given by:

P(X = 17,700) = 0.8.P(X = -2,300) = 0.2.

Hence, her expectation is given by:

E(X) = 0.8 x 17,700 - 0.2 x 2,300 = $13,700.

More can be learned about discrete distributions at https://brainly.com/question/24855677

Which expression is three less than the product of a number and two,increased by five

Answers

Answer:

(2x+5)-3

Step-by-step explanation:

The dosage for a painkiller is 0.05 mg per kilogram of a patient's body mass. How much of the drug should be administered to a patient who is 50 kg?
A 50-kg patient would be given mg of painkiller?

Answers

Answer:

0.05 mg for 1 kg, so multiply 0.05 by 50, since the patient is 50 kg, and you get 2.5 mg.

Answer:

2.5 mg

Step-by-step explanation:

.05 mg / kg    *   50 kg = 2.5 mg

100 points and Brainliest for whoever answers this question correctly first.

No, this is not a test.
Yes, I would appreciate the quickest answer possible.

Answers

Answer:

[tex]\dfrac{1}{102}[/tex]

Step-by-step explanation:

Average rate of change of function [tex]f(x)[/tex] over the interval [tex]a \leq x \leq b[/tex] is:

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

Given function:

[tex]f(x)=\dfrac{2x-2}{5x-6}[/tex]

Given interval [tex]0\leq x\leq 8[/tex] :

when [tex]x=0[/tex]:

[tex]f(0)=\dfrac{2(0)-2}{5(0)-6}=\dfrac13[/tex]

when [tex]x=8[/tex]:

[tex]f(8)=\dfrac{2(8)-2}{5(8)-6}=\dfrac{7}{17}[/tex]

Therefore, average rate of change:

[tex]\dfrac{f(8)-f(0)}{8-0}=\dfrac{\frac{7}{17}-\frac13}{8}=\dfrac{1}{102}[/tex]

The difference of two numbers is 8. What two numbers will minimize the product? The numbers are ___ and ____.

Answers

Answer:

-4 and 4

Step-by-step explanation:

Have a good day.

Answer:

answer is -4 and 4 ):(

Step-by-step explanation:

Please solve with explanation high points

Answers

Answer:

a. -2x^2 + 3x+5=y

b.-x^2 +5x-4=y

c.-x^2 +6x-12=y

Step-by-step explanation:

a.y=-2x^2 +bx+c

the points P and Q lie on curve

[tex]\left \{ {{-b+c=2} \atop {b+c=8}} \right.[/tex]

=> b=3, c=5

b. delta = b^2 +4c

x1= [tex]\frac{-b+\sqrt{b^{2}+4c } }{-2}[/tex] =4

=> [tex]b-\sqrt{4c+b^{2} }[/tex]=8

x2=[tex]\frac{-b-\sqrt{b^{2}+4c } }{-2}[/tex]=1

=>2=b+[tex]\sqrt{b^{2}+4c }[/tex]

suppose : [tex]\sqrt{b^{2}+4c }[/tex] = a

=> [tex]\left \{ {{a+b=2} \atop {-a+b=8}} \right.[/tex]

=> a=-3

b=5

a=-3 =>  [tex]\sqrt{b^{2}+4c }[/tex] =-3 => b^2 +4c =9 =>5^2 +4c=9 => c=-4.

c.vertex (3;-3)

[tex]\frac{-b}{-2}[/tex]=3 => b =6

[tex]\frac{-D}{4a}[/tex]=[tex]\frac{-b^{2}+4ac}{-4}[/tex] =-3 =>-b^2+4ac=12 => c=-12.

A department store has 950 customers one day, and 82% of customers made a purchase. Of the customers who made a purchase, 528 bought just one item, 186 bought two items, and the remainder bought three or more items. How many customers bought three or more items?

Answers

Answer:

65 bought 3 or more items.

Step-by-step explanation:

See attached summary.  The total purchasing customers was 779 (0.82*950).  Use the percentages to calculate calculate the numbers of customers who purchased one and two items (528 and 186).  Add those and subtract from the total number of customers who purchased anything (779) , to arrive at the number who bought three or more items.  65 bought three or more items.

Find the area of the shaded polygons

NEED ASAP PLEASE!! THANK YOU

Answers

Answer:

168

Step-by-step explanation:

area of a trapezoid is

((a+b)/2)*h

((8+16)/2)*14

12*14 =

168

Solve for X and Y
1. y = 2x
6x + 3y = 12

2. y = -4x + 2
y = 6x - 8

3. y = x - 4
-4x - 6y = -16

4. x = 3y + 1
2x + 4y = 12

Answers

Answer:

What do you mean?

Step-by-step explanation:

PLSS HELP ME

12/12 + 12/12 + 7/12=_____

Answers

2 7/12

This is because 12/12 is equal to 1/1 or 1. So 12/12 + 12/12 = 2.

2 + 7/12= 2 7/12

Answer:

31

-----

12

Step-by-step explanation:

12         12           7         31

----  +  -------  +  -----  =  -------

12         12          12         12

Add the numerators together (top number) and keep the denominator the same (bottom number)

I hope this helps!

What is 3 x 1/10 pls answer

Answers

Answer:

3/10 or 0.3

Step-by-step explanation:

3 times 1 and you'll get 3 over 10, or in decimal it will be 0.3

Jose explained to his friend, Emily, that when you multiply matrix A by matrix B, you get the same result as if you multiplied matrix B by matrix A. Is he correct? Explain why or why not for full credit

Answers

Answer:

yes he is

Step-by-step explanation:

he is correct because say if I multiplied 25 by 10 I would get 250 same would go for if I multiplied 10 by 25 I still would get 250.

I hope this helps

7. Which statement proves that a quadrilateral is a rhombus? A There is no line of symmetry B. All four sides are congruent C. The diagonals bisect each other D. The diagonals are perpendicular​

Answers

Answer:

B. All four sides are congruent

Step-by-step explanation:

To prove a quadrilateral is equal, prove the four sides to be equalAs the defining feature of a rhombus is that it has 4 equal sides

how many feet is the answer?

Answers

Answer:

1023 feet

Step-by-step explanation:

Question 2
5 pts
You deposit $5000 in an account earning 7% interest compounded
monthly. How much will you have in the account in 10 years?
5 nts

Answers

[tex]s = 5000(1.07) {}^{t} [/tex]

[tex]s = 5000(1.07) {}^{10} [/tex]

[tex]s = 5000(1.96715)[/tex]

[tex]s = 9835.756 \: dollars[/tex]

Test question, are you able to hold yourself from adding an answer?

Answers

yes you are able to hold yourself from adding an answer

How do you know what units to use for Tamara to feed her cats

Answers

The units use for Tamara's cats is an illustration of metric units

Tamara's unit of feeding her cats is cups

How to determine the unit of measurement?

From the complete question, the amount of feed Tamara gives her cat to be:

Amount = 1/8 cups

This means that the unit of feed Tamara used is cups

Hence, Tamara's unit of feeding her cats is cups

Read more about metric units at:

https://brainly.com/question/2555957


At a local pizza shop 2 pizzas will serve 6 people.
How many people will 8 pizzas serve?

Answers

2pizza serves 6 people
1pizza serves 6/2 people
8pizza serves 6/2*8
=24people
8pizza serves 24 people

Write the percent as a decimal.

78% =

Answers

Answer:

0.78

Step-by-step explanation:

78 / 100

note that 100% = 1


Find the range, mean, and standard deviation of the data set
{8, 9, 8, 4, 4, 7, 18, 14}
The range is

(Type a whole number.)

The mean is

(Type an integer or a decimal.)

The standard deviation is

(Round the final answer to two decimal places as needed Round all intermediate values to three decimal places as needed.)

Answers

Answer:

mean: 8

medium:7

min: 4

max: 18

hope that helps

tickets originally worth p dollars were discounted by 28%. which expression represents the discounted price of the tickets?

Answers

Answer:

.72p

Step-by-step explanation:

1p equals the original price

100 percent of p

we are reducing it by 28 percent, which means only 72 percent of p will remain

72 percent or .72

.72p

-5x+y=-10 and -4x-y=-26

Answers

Answer:

[tex]\left\{\begin{matrix}x=4\\y=10\\\end{matrix}\right.[/tex]

Step-by-step explanation:Solve the equation

[tex]\left\{\begin{matrix}-5x+y=-10\\-4x-y=-26\\\end{matrix}\right.[/tex]

_____________________________________

Add the two equations

[tex]-5x+y+(-4x-y)=-10+(-26)[/tex]

____________________________

Remove parentheses

[tex]-5x+y-4x-y=-10-26[/tex]

_________________________________________________

Cancel one variable

[tex]-5x-4x=-10-26[/tex]

___________________________________________

Combine like terms

[tex]-9x=-10-26[/tex]

______________________________________________

Calculate the sum or difference

[tex]-9x=-36[/tex]

________________________________________________

Divide both sides of the equation by the coefficient of variable

[tex]x=\frac{-36}{-9}[/tex]

____________________________________________________

Determine the sign for multiplication or division

[tex]x=\frac{36}{9}[/tex]

_________________________________________

Cross out the common factor

[tex]x=4[/tex]

_____________________________________________Step-by-step explanation:Substitute into one of the equations

[tex]-4\times4-y=-26[/tex]

____________________________________________________

Calculate the product or quotient

[tex]-16-y=-26[/tex]

______________________________________________________

Rearrange variables to the left side of the equation

[tex]-y=-26+16[/tex]

_____________________________________________

Calculate the sum or difference

[tex]-y=-10[/tex]

_________________________________________-

Divide both sides of the equation by the coefficient of variable

[tex]y=10[/tex]

I hope this helps you

:)

Given P(E or F) = 0.69, P(E) = 0.49, and P(E and F) = 0.06, what is P(F)?

Answers

Answer:

P(F) = 0.26

Step-by-step explanation:

Given:

P(E ∪ F) = 0.69P(E) = 0.49P(E ∩ F) = 0.06

Using formula:   P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

⇒ P(E ∪ F) = P(E) + P(F) - P(E ∩ F)

⇒ 0.69 = 0.49 + P(F) - 0.06

⇒ 0.69 = 0.43 + P(F)

⇒ P(F) = 0.69 - 0.43

⇒ P(F) = 0.26

Diego rides his bicycle at a constant rate of 0.3 kilometers per minute. Which graph best represents y, the total number of kilometers Diego rides his bicycle in x minutes?

Answers

y(x)=0.3x

since he travels 0.3 kilometers for each minute (x)

then y as a function of x is 0.3×the number of minutes(x)

can you please help me​

Answers

Answer:

168

Step-by-step explanation:

yea..

Which number line shows the solution set for l s/2 +4 l <2

Answers

Step-by-step explanation:

Hopefully this was helpful!

f(1)=15
f(n)=f(n-1)·n
f(2)=?

Answers

Answer:

is f(2)=13 this is the answer because You have to división ir multiplicar ir

Answer:

f(2)=30

Step-by-step explanation:

Khan <3

Select the equation for a graph that is the set of all points in the plane that are equidistant from the point F(0, −8) and line y = 8.

Answers

Answer:

-1/32 × x

Step-by-step explanation:

let's define and identify the correct markers of the correct parabola.

so, we have the focus point F (0, -8).

we have the directrix y = 8.

that means the the vertex point (the middle between the focus and the directrix) is (0, 0).

a parabola is turning away from the directrix. the vertex here is below the directrix, so the parabola is opening downwards and has therefore a negative factor of x.

so, we can rule out the 2 positive answer options.

to decide between the other 2, let's use a value of x and see, if the point is equidistant to the focus and the directrix.

e.g. x = 1

so,

y = -1/8 × x²

gives us y = -1/8 for x = 1

that means the point is (1, -1/8).

the distance to the focus (0, -8) is

(1 - 0)² + (-1/8 - - 8)² = 1 + (7 7/8)² = 1 + (63/8)² =

= 64/64 + 3969/64 = 4033/64

the distance to the directrix is the distance to the point (1, 8) as the point on the directrix must have the same x value.

so, the distance (1, -1/8) to (1, 8) is

(1 - 1)² + (-1/8 - 8)² = 0 + (-65/8)² = 4225/64

that is not equal to the distance to the focus.

so, let's try

y = -1/32 × x

the point for x = 1 is (1, -1/32)

distance to focus

(1, -1/32) to (0, -8) = (1-0)² + (-1/32 - -8)² = 1 + (255/32)² =

= 1024/1024 + 65025/1024 = 66049/1024

distance to directrix

(1, -1/32) to (1, 8) = (1-1)² + (-257/32)² = 66049/1024

which is the same distance as to the focus.

so, y = -1/32 × x is the right answer.

FYI - for an actual distance I would have to create the square roots of the numbers used here.

but since we only needed to see, if distances are equal or not, it was sufficient to check if the squares of the distances are equal or not.

a cyclist travels 108m in 12 seconds.what is her speed in km/h

Answers

Step-by-step explanation:

=108÷12

=9m/s

=9x0.001x1/3600

=2.5x10^6km/h

what is the answer to -2-(-2)

Answers

Answer:

0

Step-by-step explanation:

-2 + 2 = 0

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Other Questions
What is the five-number summary of this data set?{425, 255, 267, 507, 307, 435, 253, 250, 433}What is the five-number summary of this data set?{425, 255, 267, 507, 307, 435, 253, 250, 433}Drag the numbers into the boxes to correctly complete the five-number summary. was the east german government able to construct a successful socialist economy ( Pls help ASAP) Will give 20 points if you answer 2 questions)) What is the volume of this right prism? 1200 in 1800 in 2040 in 3600 in Right triangular prism. The height of the prism is labeled as 15 in. The base of the prism is a triangle with the base labeled as 30 in., the height labeled as 8 in., and the other 2 sides of the triangle labeled as 17 in.Please help asap!!! You select cell a1, hover the pointer over the cell border to reveal the move icon, then drag the cell to a new location. Which ribbon commands achieve the same result?. The reflection of a 10. 0 cm object appears to be 18 cm tall and 9 cm behind the mirror. What distance is the object from the mirror? cm. Help please thank you logariths, please help At three minutes of all-out high-intensity exercise, ________ of the ATP is derived from aerobic sources. PLSSS HELP WHOEVER DOES THE CORRECT WILL GET BRAINLIEST Ray is x years old. His brother Ron is y years older than Ray.How old was Ray 3 years ago? Compensatory programs are aimed at helping gifted students fulfill their full potential. Group of answer choices True False In creating a new scale for the mercury thermometer, Anders Celsius initially set the boiling point of water at _____. A. 0 b. 32 c. 100 d. 273. Christy bought a 9- foot piece of lumber trim bookshelf. Altogether, she needs 100 inches of lumber. Did Christy buy enough lumber? Show your work and explain. Which organisms obtain energy from dead or decaying matter? Select two option Which function can be used to insert the current date into a spreadsheet?DATETODAYMM/DD/YYYYDATE&TIME Help please A puppy weighs 4 pounds. How many ounces does the puppy weigh? 1. Greek scientist called Archimedes was asked to check the purity of the gold in a crown. He did this by comparing the density of the crown with the density of pure gold.a) Describe how he could have measured the density of an irregular shaped object as a crown. If the market price is above or equal to the average cost, but below the average cost the firm should keep producing in the run even though it does so at a(n) 2640 yards= ________ milescomplete each conversion Is W. L. Gore a mechanistic or an organic organization? Support your answer with examples from the case