the carpenter is tasked to fence a trapezoid lot whose sides are as follows : 9x, 8x-2, 17x-6 and 5x+1, where x represents the length of the piece of wood in meters that will be used. what expression could represent the total length of trapezoid to be fenced?

Answers

Answer 1

not necessarily. The two sides of equal length could be adjacent sides.


Related Questions

Solve for N
8/10 = 4/N
N=

Answers

Answer:

N= 5

Step-by-step explanation:

Solve for N by cross multiplying

When solving a quadratic equation, what is the difference between a root and a solution?
A. The solution is expressed as x=a where a is a number. The root is expressed as an ordered pair.
B. For a quadratic equation, the root is the same as the solution.
C.The root is expressed as x=a where a is a number. The solution is expressed as an ordered pair.
D. The root is where the graph of the quadratic equation crosses the x -axis. The solution of the quadratic equation is where the graph crosses the y-axis.

Answers

Answer:

B: For quadratic equations, the root is the same as the solution.

Step-by-step explanation:

In quadratic equations of the form ax² + bx + c = 0, the roots are usually gotten from the formula ;

x = [-b ± √(b² - 4ac)]/(2a)

Now, the roots gotten are also termed as solutions because every value of x which is a root gives a solution of 0 when plugged into the quadratic equation.

Basically, in quadratic equations, the roots are solutions to the equation.

Answer:

C

Step-by-step explanation:

what is the sign of 46.2 + 112.3.

is it a positive or negative? ​

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{2 positives (+) equals positive}\\\large\textsf{2 negatives (-) equals negative}\\\large\textsf{1 negative (-) \& 1 positive (+) equals negative}\\\large\textsf{1 positive (+) \& 1 negative (-) equals negative}[/tex]

[tex]\large\text{According, to your equation you have 2 POSITIVES and even your}\\\large\text{symbol is a positive, so this means your result will turn out to be a positive}[/tex]

[tex]\large\textsf{46.2 + 112.3}\\\rightarrow\large\large\textsf{46.20 + 112.30}\\\rightarrow\large\textsf{158.50}\\\\\large\text{Thus, your equation answer is: \boxed{\mathsf{158.50}}}\\\\\\\\\huge\textbf{Your overall is: \boxed{\mathsf{Positive}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Floria wants to buy a dress that costs $96. She has saved $60 for the dress. What percent of the price of the dress has she saved?

Answers

Answer:

she saved 37.5%

Step-by-step explanation:

96-60=36

96*x=36

divide both sides by 96

x=0.375

Simplify the rational expression. x^2 - 3x - 54 | x^2 -10x + 9

Answers

Answer:

[tex]\frac{x+6}{x-1}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x^2-3x-54}{x^2-10x+9}[/tex] ← factorise both numerator and denominator

= [tex]\frac{(x-9)(x+6)}{(x-9)(x-1)}[/tex] ← cancel (x - 9) on numerator/ denominator

= [tex]\frac{x+6}{x-1}[/tex] ← x ≠ 1

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[tex] \frac{ {x}^{2} - 3x - 54 }{ {x}^{2} - 10x + 9 } = \frac{(x - 9)(x + 6)}{(x - 9)(x - 1)} = \frac{x + 6}{x - 1} \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

please answer this question​

Answers

By selling 45 bananas for Rs 40,

40/45 = 0.888888888 Rs/banana

If he is losing 20% on this deal,

This means that

0.8888888/x = 80/100

88.88888 = 80x

Divide both sides by 80

x = 1.1111111111

So, if he wants to make 0% profit, he must sell the 45 bananas for 1.11111 Rs each.

If he wants to make 20% profit for 45 bananas,

1.111111 x 1.2 = 1.3333333

He will need to sell each banana for Rs 1.3333333.

So,

y = 1.333333x

And we are given

y = 24x

We can equal these equations to each other

1.333333333(45) = 24x

60 = 24x

x = 2.5

He will need to sell only 2.5 bananas.

Catherine has to run a few errands. She started her errands at 11:35 am. She first went to the bank for 20 minutes. Then she shopped at the grocery store for 1 hour and 15 minutes. Last she went to the gas station for 15 minutes. When was Catherine finished with her errands

Answers

Answer:

1:25 pm

Step-by-step explanation:

20 minutes after 11:35 am would be 11:55 am, 1 hour and 15 minutes after 11:55 am would be 1:10 pm, and 15 minutes after 1:10 pm would be 1:25 pm.

I need help with showing my work on converting 3 7/8​

Answers

Hi :)

The answer is 31/8

3 is a whole number, right?

So we do:

8/8 + 8/8 + 8/8 + 7/8

We have 8/8 three times cuz we have 3 as the *whole* number

= 8 + 8 + 8 + 7= 31
Add the denominator = 31/8

Hope this helps :)

please help will mark BRAINLIEST

Answers

Answer:

A.)

-2, -1, 0, 1, 2, 3, 4, 5, 6

Step-by-step explanation:

mark me brainliest!!

the ratio of prizes to contestants if there are 3 prizes for every 10 contestants

Answers

Answer: (3,10)??? this question isn't specific sorry

Step-by-step explanation:

Question
Sami's savings account earns 4% simple interest. If Sami starts with $500 in her account, how much money will she have in
her account after four years?


Answers

Answer:

$584.92928

Step-by-step explanation:

If Sami starts with $500 and earns 4% and she doesnt take away any money, the equation would be:

y=500(1.04)^x

y being dollars and x in years

if we replace x with 4, the answers come out to be 584.92928

Answer:

Step-by-step explanation:

First, we express the annual interest rate r, in decimal form. Since it is 4%, the interest rate is

r=4%=4100=0.04.

The principal P=500, so the future value is

A=P(1+rt)=500(1+(0.04)(4))=$580.

Use the diagram of ABCD to find x.

Answers

Answer:

x = 5

Step-by-step explanation:

AB = CD, so x + 2 = 2x - 3

2 + 3 = 2x - x

x = 5

make a number line and mark all the points that represent the following value of x, x<2 or x>-1 Please answer quickly

Answers

Answer: See attached image

Step-by-step explanation:

[tex]\mathrm{The \ union \ of \ two \ intervals \ is \ the \ set \ of \ numbers \ which \ are \ in \ either \ interval:}[/tex]

[tex]x < 2\quad \mathrm{or}\quad \:x > -1[/tex]

See attached merged number line below:

The first number line is of x < 2

The second number line is of interval x > -1

The third number line is the merge of the overlapping intervals

Answer:

its just what the question says

Step-by-step explanation:

2 1/8 x 2 3/5 simplified

Answers

Answer:

5 21/40

Step-by-step explanation:

easy maths

Find AC. Please help fast

Answers

Answer:

Step-by-step explanation:

AB/ED = AC/DF

15/18 = AC/20

5/6 = AC/20

Cross multipy

6AC = 5*20 = 100

so

AC = 100/6 = 16.7

Is this right I just need confirmation pls

Answers

Answer:

No

Step-by-step explanation:

The slope is -4/3, so it should start at y=8, then go down 4 and over (to the right) 3 units. So the next point would be (4, 3).

Write an addition, a multiplication, and a division statement with the
same answer

Answers

Answer:

5 x 5 = 25

20 + 5 = 25

50 ÷ 2 = 25

Step-by-step explanation:

Which of the following are true statements? Check all that apply.

Answers

Answer:

A and C are correct

Step-by-step explanation:

We have to select the true statements from the given four statements in options.

I think the statements A and C are true from the mathematical point of view.

If the original function is and then by reflecting it about the x-axis the equation will become , and then shrinking it vertically by a factor of the function will finally become .

Hence, statement A is true.

Again, the original function has domain x ≥ 0 and range y ≥ 0, but in the transformed equation has domain same as original equation i.e. x ≥ 0 but the range is different i.e. y ≤ 0.

Hence, statement C is also true. (Answer)

Which formula gives the trade discount when the list price and single discount rate are​ given?
Question content area bottom
Part 1
A.
list price times single discount rate
B.
net price times single discount rate
C.
base equals portion times rate
D.
trade discount times single discount rate

Answers

Answer:

I believe it's

Step-by-step explanation:

A

however I could be wrong

In the number 5,366, the 6 in the tens place is what value of the 6 in the one place

Answers

Answer:

Check the pic

Step-by-step explanation:

Carlos has 2 pieces of buttered toast. He cuts the toast and shares it equally between his 3 friends. What fraction of a piece of toast does each friend receive?​

Answers

1st friend: 1/2 2nd friend: 1/2 third friend: 1/1(1)

Answer: The 1st friend would get 1/2 of toast, 2nd friend would get 1/2 of toast, & the third friend would get 1/1=(1) of toast

Hope this helps! c:

One of the legs of a right triangle measures 4 cm and the other leg measures 4 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answers

Answer:

5.7 cm

Step-by-step explanation:

4^2 + 4^2 = c^2

16 + 16 = c^2

c^2 = 32

√c^2 = √32

c ≈ 5.6568

c = 5.7

HELLLPPPP

Find the amount of simple interest earned for depositing the given principle in an account. if $3100
is invested at 5.5 % for 3 months

Answers

Answer:

$ 42.625 is the correct answer .

Step-by-step explanation:

principal ( p ) = $3100

Rate ( R ) = 5.5 %

Time ( T ) = 3 months

( convert months into year)

= 3/12 year

Simple Interest ( I ) = ??

By using formula ,

simple Interest ( I) = PTR / 100

=$3100 × 5.5 % × 3/12 ÷ 100

= 3100 × 5.5 × 3 ÷ 100 × 12

= 51150 ÷ 1200

= 42.625

= $ 42.625

Thank you ☺️☺️☺️

Find the value of x and y. If necessary, round your answer to the nearest tenth. *

Answers

Answer:

Step-by-step explanation:

"y" is geometric mean ⇒ y² = 5 × 12

y = √60 ≈ 7.7

x² = 5² + ( √60 )²

x = √85 ≈ 9.2

Airlines have increasingly outsourced the maintenance of their planes to other companies. A concern voiced by critics is that the maintenance may be less carefully done so that outsourcing creates a safety hazard. In addition, flight delays are often due to maintenance problems, so one might look at government data on percent of major maintenance outsourced and percent of flight delays blamed on the airline to determine if these concerns are justified. This was done, and data from 2005 and 2006 appeared to justify the concerns of the critics. Do more recent data still support the concerns of the critics? Here are data from 2014:

Alaska 51.051.0 10.3510.35 Jet Blue 68.468.4 19.9319.93
American 29.429.4 20.3220.32 Southwest 58.258.2 28.4728.47
Delta 36.736.7 14.4814.48 United 52.652.6 23.4623.46
Frontier 46.346.3 21.4221.42 US Airways 54.354.3 13.6813.68
Hawaiian 78.478.4 5.065.06

Required:
a. Make a scatterplot with outsourcing percent as xx and delay percent as y.
b. Find the correlation r with and without Hawaiian Airlines.

Answers

Answer:

Please check attachment for graph

Step-by-step explanation:

B. With hawaii airline = -0.300

Without hawaii airline = 0.197

With hawaii airline

EX = 475.3

EY = 157.17

XY = 8042.11

X² = 26883.55

Y² = 3159.375

The correlation coefficient

= 72378.99-74702.9/7737.421

= -2323.91/7737.421

= -0.300

Without hawaii airline

EX = 396.9

EY = 152.11

EXY = 7645.406

X² = 20736.99

Y² = 3133.772

= 790.789/4021.161

= 0.197

16
Select the correct answer.
A rotating sprinkler head sprays water as far as 20 feet. The head is set to cover a central angle of 80 degrees. What area of grass will be watered?
A. 200/9 pi ft^2
B. 800/9 pi ft^2
C. 80/9 pi ft^2
D. 760/9 pi ft^2

Answers

Using the area of a circle, it is found that the area of the grass that will be watered is given by:

B. 800/9 pi ft^2

What is the area of a circle?

The area of a circle of radius r is given by:

[tex]A = \pi r^2[/tex].

In this problem, a rotating sprinkler head sprays water as far as 20 feet, hence the radius is of r = 20 ft.

It covers a central angle of 80º, while an entire circle has 360º, hence the area of grass that will be watered corresponds to 80/360 = 2/9 of the area of the circle.

Hence the watered area in ft² is given by:

[tex]A = \frac{2}{9}\pi (20)^2 = \frac{800\pi}{9}[/tex]

Which means that option B is correct.

More can be learned about the area of a circle at https://brainly.com/question/17326298

Answer:

B. 800/9 pi ft^2

Step-by-step explanation:

Find the values of x and y that make the quadrilateral a parallelogram.

Answers

Answer:

Parallelogram means opposite sides equal and parallel to each other

So

x=16y=9

Done!

prove that (Cosx-Cos³x)/Sinx=SinxCosx​

Answers

Answer:

(Cosx-Cos³x)/Sinx=SinxCosx

Step-by-step explanation:

sin3x−cos3x

=sinxsin2x−cosxcos2x

=sinx(1−cos2x)−cosx(1−sin2x)

=sinx−sinxcos2x−cosx+cosxsin2x

=sinx−cosx+(sinx−cosx)sinxcosx  

=(sinx−cosx)(1+sinxcosx

Please help I'll mark this as brainliest ​

Answers

Answer:

13/50

Step-by-step explanation:

26% of 100 is 26/100 as a fraction.

These can both be divided by 2.

Once you divide both by two you end up with 13/50.

Answer:

26 green marbles

Step-by-step explanation:

There are 100 marbles in the jar.

100 marbles are 100%

26% of these marbles are green.

Just as there are 100 marbles, we need to find how many marbles are green.

Let us do it like that: let a be the actual number of green marbles.

Marbles           Percent

100                    100%

a                         26%

Let's find the ratio between 100% and 26% by doing 100/26 = 3.846153

We need to multiply 26 by 3.846153 in order to get to 100, right?

So same, I'll need to multiply a times 3.846153 in order to get 100.

3.846153 a = 100

divide both sides by 3.846153

a = 26 marbles

Therefore there are 26 green marbles.

Tell me if it helps you.

Flora's Flower Shop is gearing up for Valentine's Day, which is typically their busiest time of the year. Flora was able to secure 9,000 red roses for the holiday this year. Flora sells red roses for $8 per stem, and bouquets of 12 red roses for $75. The cost per stem for Flora is $3. Typically half of all flowers are sold as individual stems and half as bouquets, however on Valentine's Day the majority of flowers are sold as part of bouquets. Last year Flora made $35,000 over the Valentine's Day holiday, and hopes to make the same profit this year. What is the maximum proportion of flower sales that can come from bouquets in order for Flora to earn a profit of $35,000. 42% O 50% 63% 81%​

Answers

The maximum proportion of flower sales that can come from bouquets in order for Flora to earn a profit of $35,000 is A. 42%.

What is proportion?

The proportion shows the ratios of two or more variables.

While the maximum proportion show the highest ratio or percentage of a variable required to equate an expression.

Data and Calculations:

Number of red roses procured for sale = 9,000

Selling price per stem = $8

Selling price per bouquet (12 stems) = $75

Cost per stem = $3

Last year's Valentine Day profit = $35,000

                                                      Stem       Boutique

Selling price                                    $8             $75

Cost per stem                                   3               36 ($3 x 12)

Contribution margin per unit         $5            $39 ($75 - $36)

Contribution margin per stem       $5            $3.25 ($39/12)

Weighted contribution margin  $22,500  $14,625 ($3.25 x 4,500)

Proportion                                                       42% ($14,625/$35,000 x 100)

Thus, the maximum proportion of flower sales that can come from bouquets in order for Flora to earn a profit of $35,000 is A. 42%.

Learn more about proportions and ratios at https://brainly.com/question/12024093

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