The perimeter of the patio shown below is 120 feet. Develop a formula to find y in terms of x. Explain your work.

The Perimeter Of The Patio Shown Below Is 120 Feet. Develop A Formula To Find Y In Terms Of X. Explain

Answers

Answer 1

Answer:

Perimeter of the given patio is [tex](\pi+6)y + 10x +8[/tex].

Step-by-step explanation:

Let us first label the given patio using the points A, B, C, D, E and F as shown the attachment diagram.

Perimeter of given figure can be found by the following:  

Perimeter of polygon ABPCDEQF + Perimeter of semi-circle with diameter as EF.  

Let us mark points P and Q on sides AB and FA respectively.  

These points P and Q are just opposite to point D. Please refer to attached diagram for details.

As this figure has symmetry so, sides  

[tex]side\ AP =side\ FE\ i.e\ 2y\\side\ AQ =side\ BC\ i.e.\ 2y\\side\ PB =side\ CD\ i.e.\ 3x+5\\side\ QF =side\ DE\ i.e.\ 2x-1[/tex]

Perimeter of polygon APBCDEQF = AP + PB + BC + CD + DE + FQ + QA (Side EF is not on the periphery so it is excluded)

[tex]\Rightarrow 2y + (3x+5) + 2y + (3x+5) + (2x - 1) + (2x-1) + 2y\\\Rightarrow 6y + 10x + 8 ...... (1)[/tex]

Perimeter of semicircle = [tex]\pi \times radius[/tex]

Radius of semicircle is y.  

[tex]\text{Perimeter of semicircle = }\pi \times y ...... (2)[/tex]

Adding equations (1) and (2):  

[tex]\text{Total perimeter = }6y + 10x + 8 + \pi y \\\Rightarrow (\pi+6)y + 10x + 8[/tex]

Perimeter of the given figure is [tex](\pi+6)y + 10x +8[/tex]

The Perimeter Of The Patio Shown Below Is 120 Feet. Develop A Formula To Find Y In Terms Of X. Explain

Related Questions

Write a unit rate for the situation. 54$ for 3 tickets.

Answers

Answer:

It would be $18 because you would divide 54 by 3 and get $18 per ticket

Step-by-step explanation:

The unit rate is $18.00 for every ticket. This is because 54/3=18

Find the value of x. Then find mAB.

Answers

Answer:

16x - 5 = 15x

16x - 16x -5 = 15x - 16x

-5 = -x

-5 / -1 = -x / -1

x = 5

mAB = 5(5)

mAB = 25°

Step-by-step explanation:

1. set arc FA and arc CD equal to each other.

2. subtract 16x from both sides.

3. divide both sides by -1 to get x.

4. replace x by its value to solve for mAB.

Bryna has $300 to open a checking account. She wants an account with the least amount of fees. She does not plan on using an ATM and her employer offers direct deposit.

A 6-column table with 3 rows. Column 1 has entries A, B, C. Column 2 is labeled Minimum Balance with entries 500 dollars, 250 dollars, 50 dollars. Column 3 is labeled Interest with entries 0.1 percent, 0 percent, 0 percent. Column 4 is labeled Overdraft protection with entries yes, no, no. Column 5 is labeled A T M Fees with entries 0 dollars for all A T M s, 0 dollars for A B C banks A T M s, 2 dollars per transaction. Column 6 is labeled Monthly Fee with entries 5 dollars, 10 dollars, 0 dollars with direct deposit.

Bryna should choose account
.

Answers

Answer:

Its C On Edge Just Took The Quiz

Step-by-step

Answer:

c

Step-by-step explanation:

took quiz 100%

Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .


Answers

Answer:

169.65 for volume.

Step-by-step explanation:

Volume = πr2h

= π×32×6

= 54π

= 169.64600329385 (unit^3)

I Hope this helps!!!

Answer:

339.12 squared (for surface area)

Step-by-step explanation:

radius=6

area of the circles is, 6*6= 36 * 3.14= 113.04

there are 2 circles so we multiply that by 2 to get 226.08

now to find the perimeter of a circle it is the radius * pi, so that would be 6*3.14= 18.84 now we have a height of 6 so we multiply that by 6 and get 113.04 now add up all our numbers and get 339.12

What is the product?

Three-fourths times 12.44

3.11
9.33
12
36

Awnser pls ill give a star

Answers

Answer:

9.33

Step-by-step explanation:

12.44=311/25

(3/4)×(311/25)=(3×311/4×25)=933/100=9.33

Answer:

B. 9.33

Step-by-step explanation:

I go with my gut and my gut tells me this the right answer ( I used a calculator).

Using the following triangle, write a proof to verify that sinA/a=sinC/c

Write two different expressions for h and set the expressions equal to each other

Answers

Answer:

Proved: [tex]c\sin A=a\sin C\Rightarrow \frac{\sin A}{a}=\frac{\sin C}{c}[/tex]

Step-by-step explanation:

Given: A triangle

To prove: [tex]\frac{\sin A}{a}=\frac{\sin C}{c}[/tex]

Solution:

Trigonometry is a branch of mathematics that explains relationship between sides and angles of the triangle.

Sine of angle = side opposite to the angle / hypotenuse

In ΔADB,

[tex]\sin A=\frac{BD}{AB}=\frac{h}{c}\\\Rightarrow h=c\sin A\,\,\,(i)[/tex]

In ΔBDC,

[tex]\sin C=\frac{BD}{BC}=\frac{h}{a}\\\Rightarrow h=a\sin C\,\,\,(ii)[/tex]

From equations (i) and (ii),

[tex]c\sin A=a\sin C\\\frac{\sin A}{a}=\frac{\sin C}{c}[/tex]

Hence proved

A water storage tank is in the shape of a hemisphere​ (half a​ sphere). If the radius is 26 ​ft, approximate the volume of the tank in cubic feet.

Answers

Answer:

36,811 cubic feet.

Step-by-step explanation:

Volume = 1/2 volume of a sphere

= 1/2 * 4/3 π r^3

= 2/3 * π r^3

R = 26 so

Volume of the tank = 2/3 *  π 26^3

= 36811.09 feet^3.

The volume of the tank in cubic feet approximate  is 36,811 cubic feet.

What is the volume of sphere?

If the given sphere is of radius r units, then its volume is given as:

[tex]V= \dfrac{4}{3} \pi r^3 \: \rm unit^3[/tex]

We are given water storage tank is in the shape of a hemisphere​ (half a​ sphere). If the radius is 26 ​ft.

Therefore,

Volume = 1/2 volume of a sphere

= 1/2 * 4/3 π r^3

= 2/3 * π r^3

R = 26

Therefore, Volume of the tank = 2/3 π 26^3

= 36811.09 feet^3.

Learn more about volume of a sphere here:

https://brainly.com/question/381274

#SPJ3

Someone please help me out!

Answers

Answer:

S = {2,4,6,8} P(2) = 3/20  P(4) = 3/10 P(6) = 3/10 P(8)=  1/4

Step-by-step explanation:

There are 30 draws

She got the tile numbered 2 3 times

P(2) = 3/20 = .15

She got the tile numbered 4 6 times

P(4) = 6/20 = 3/10 = .3

She got the tile numbered 6 6 times

P(6) = 6/20 = 3/10 = .3

She got the tile numbered 8 5 times

P(8) = 5/20 = 1/4 = .25

Jada rewrites 5•3^x as 15x. Do you agree with Jada that these are equivalent expressions? Explain your reasoning. Help me pleasee

Answers

Answer:yes

Step-by-step explanation:

5*3=15

5*3x=15x

The expression 15x is not the equivalent of the expression 5•3ˣ.

What is an exponential function?

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable

Jada rewrites 5•3ˣ as 15x.

We do not agree with Jada that these are equivalent expressions because she made the mistake.

As per the given obtained expression, we can see that here write 15 as the coefficient of variable x which is actually the power of an argument. the original expression was an exponential function that has 3 representing the base. thus, it cannot be multiplied the 5 by 3.

Thus, the expression 15x is not the equivalent of the expression 5•3ˣ.

Learn more about exponential function here:

brainly.com/question/11487261

#SPJ2

4/3 times 22/7 times 1/4 cubed

Answers

Answer:

88/1344

Step-by-step explanation:

Evaluate 15 - 151.
-10
10
20
-20

Answers

Answer:

10

Step-by-step explanation:

15 - |5|

The absolute value of 5 is 5

15 - 5

10

Answer:

10

Step-by-step explanation:

assuming those are absolute value bars it is basically 15-5=10 so 10 is your answer!

3x + 5 = 2x + 8 =
help me plz

Answers

Answer:

x=3

Step-by-step explanation:

Answer:

The answer would be 3.

Step-by-step explanation:

Find the slope,

Use this form example: y=Mx+b

Answers

Answer:

The slope is 1 or just x

Step-by-step explanation:

rise/run (rise over run) to find the slope

Let a and b be real numbers where a b 0. Which of the following functions could represent the graph below?

f(x) = x(x – a) (x - 1)3
f(x) = (x - a)
- a)2(x – b)4
f(x) = x(x - a) 6(x – b)2

Answers

Answer:

C

Step-by-step explanation:

I took the test

The function which represents the graph given is f(x) = (x - a)²(x - b)⁴.

What are Polynomials?

Polynomials are expressions which consist of one or more terms involving variables and coefficients connected with operations like multiplication, subtraction, addition and natural number powers of variables.

Given is a graph of a function.

The options f(x) = x(x - a)³(x - b)³ and the option f(x)=x(x - a)⁶(x - b)² is not possible since x = 0 is not a root of the given graph.

That is the graph does not pass through the point (0, c) for any c.

Remaining options are f(x) = (x - a)²(x - b)⁴ and f(x) = (x - a)⁵(x - b).

We know that, the graph of a polynomial function always touch the X axis at zeroes with even multiplicities.

So here multiplicity will be even.

So the correct one is f(x) = (x - a)²(x - b)⁴.

Learn more about Polynomials here :

https://brainly.com/question/2875022

#SPJ7

20,30,40,50,60,70,80 the mean of the number set is

Answers

Answer:

Mean is 50

Step-by-step explanation:

20 + 30 + 40 + 50 + 60 + 70 + 80 = 350

350 / 7 = 50

Answer:

50

Step-by-step explanation:

Mean means average number which sum of all numbers divided how many numbers we are investigating

We are investigating 7 numbers

The total sum of these numbers are:

20 + 30 + 40 +50+ 60+70+80= 350

Mean = 350/7= 50

After returning to South Africa from Algeria in 1964, Nelson Mandela was
Arrested and imprisoned
Elected to the presidency
Educated in guerrilla tactics
Finally granted his freedom

Answers

Answer:

arrested and imprisoned.

Nelson Mandela was arrested an imprisoned by the Apartheid regime when he returned from Algeria.

Who is Nelson Mandela?

Nelson Mandela was a know nationalist in South Africa and a strong advocate for the liberation of South Africa from the Apartheid  in which the non-white South African's were segregated.

Nelson Mandela was educated in Algeria as a lawyer. When he returned in 1964, he was arrested and imprisoned.

Learn more about Apartheid: https://brainly.com/question/3811942

Please help!You roll a 6-sided die two times.

What is the probability of rolling a number less than 4 and then rolling an odd number?

Write your answer as a percentage.

Answers

Answer:

25%

Step-by-step explanation:

[tex]6 \times 6 = 36 \\ 3 \times 3 = 9 \\ \frac{9}{36} = \frac{25}{100} [/tex]

the decimal expansion of 131 upon 120 will terminate after how many places of decimal A)1 b)2c) 3D) will not terminate​

Answers

Answer:

c) 3

Step-by-step explanation:

Find the EXACT perimeter and EXACT area of triangle ABC (meaning radical form) BD=3 *will give brainliest*

Answers

Answer:

Perimeter = 4.5√3 + 4.5

Area = 3.375√3

Step-by-step explanation:

Well you can first see that triangle ABC is a 30°60°90° triangle.

Since angle A is 60 and it is bisected, you will have a small 30°60°90° triangle and a 120°30°30° triangle.

You can say that DA is congruent to BD by Base Angle Theorem.

DA = 3

By using the ratios of the sides of the 30°60°90° you get that CD is 1.5 and CA is 1.5√3

CD = 1.5

CA = 1.5√3

BC = 4.5

Area = (4.5 * 1.5√3) / 3 = 6.75√3 / 2

Area = 3.375√3

By using the 30°60°90° ratio again, you get that BA = 3√3

Perimeter = 1.5√3 + 3√3 + 4.5

Perimeter = 4.5√3 + 4.5

I'm not 100% sure that the answer is right so check it.

Solve for the zeros of the quadratic function f(x) = 9.2 + 6x +1. Write the answer as a fraction.

Answers

Answer:

x = -1.7, or x = -17/10

Step-by-step explanation:

f(x) = 9.2 + 6x + 1 is a linear function and as such (and because the slope is not zero) has only one solution.  Combining like terms, we get

f(x) = 10.2 + 6x = 0 (you must set this equal to zero if solving for zero(s).

Then 6x = -10.2, and x = -1.7, or x = -17/10

what is the total cost of a meal if the food cost $25 and there is a food tax of 3% and the waiter is tipped 15% of the food cost? Round to the nearest cent.

Answers

Answer:

$30

Step-by-step explanation:

If $25 is 100%,

$2.5 is 10%

$0.25 is 1%

$3.75 is 15%

$0.75 is 3%

Then add $25, $3.75 and 0.75 which is also equivalent to 100%+15%+3%=29.5 and if you rounded it up to the nearest cent it is 30

what is -2(6a-2b+4c-9)

Answers

Answer:

-12a + 4b - 8c + 18

Step-by-step explanation:

To do this, you will need to use the Distributive Property. Multiply the number outside of the parenthesis by the terms inside of the parenthesis.

-2(6a - 2b + 4c - 9) becomes:

-12a + 4b - 8c + 18

Answer:

use a app that is call photomath


There are 1200 students in a school. 51.5% of them are male. How many are female

Answers

Answer:

Step-by-step explanation:

The graph of f(x) is shown.

On a coordinate plane, a parabola opens up. It goes through (negative 1.75, 4), has a vertex of (negative 0.25, negative 3), and goes through (1.4, 4). Solid circles appear on the parabola at (negative 1.6, 3.1), (negative 1.2, 0), (negative 0.25, negative 3), (0.8, 0), (1.2, 3.1).
Over which interval on the x-axis is there a negative rate of change in the function?

–2 to –1
–1.5 to 0.5
0 to 1
0.5 to 1.5

Answers

Answer:

The answer to this question is A, or -2 to -1.

Hope this helps.

Answer: A

Step-by-step explanation:

What is the least common multiple of the two denominators?
6/8 4/32
A.18
B.12
C. 8
D.32

Answers

Answer:

d.32

Step-by-step explanation:

To get the Least Common Multiple (LCM) of 8 and 32 we need to factor each value first and then we choose all the factors which appear in any column and multiply them:

8:   222    

32:   22222

LCM:   22222

The Least Common Multiple (LCM) is:   2 x 2 x 2 x 2 x 2 = 32

The least common multiple is = 32

The denominators are 8 and 32.

The multiples of 8 are = 8, 16, 24, 32, 40, ....

The multiples of 32 are = 32, 64, ....

So the least common multiple is = 32

Learn more: https://brainly.com/question/8806877

A coin is tossed and a die is rolled. What is the probability that a tail was tossed and an even number was rolled?What is the probability that a head was tossed and a number larger than 4 was rolled?

Please Show Work! Thanks!

Answers

Answer:

First problem: 1/4 chance

Second problem: 1/6 chance of happening

Step-by-step explanation:

To find the probability we need to multiply the chance of each separate thing happening by each other in each example.

In the first example we have a 1/2 chance that a tail was tossed and 3/6 chance that an even number was rolled.

[tex]\frac{1}{2} *\frac{3}{6} = \frac{3}{12} =\frac{1}{4}[/tex]

So in the first example we have 1/4 chance of happening or 0.25

Same thing with the second example:

[tex]\frac{1}{2} *\frac{2}{6} = \frac{2}{12} =\frac{1}{6}[/tex]

Please help!!
I grant brainliest.

Answers

Answer:

x = 65, y = 63

Step-by-step explanation:

∠ EGA = ∠ HBG = 52° ( corresponding angles )

ED is a straight angle, thus

52 + y + 65 = 180, that is

y + 117 = 180 ( subtract 117 from both sides )

y = 63

-------------------------------------

∠ HGB = y = 63° ( vertical angles )

The sum of the 3 angles in a triangle = 180°, thus

x + 63 + 52 = 180

x + 115 = 180 ( subtract 115 from both sides )

x = 65

Which expression shows that the quotient
2/3x-1 ÷ 6/6x-1
is also a rational expression? Assume x
1/3 and x 1/6​

Answers

Answer:

Option (2)

Step-by-step explanation:

Given expression is [tex]\frac{2}{(3x-1)}[/tex] ÷ [tex]\frac{6}{6x-1}[/tex]

We further simplify this expression,

[tex]\frac{2}{(3x-1)}[/tex] ÷ [tex]\frac{6}{6x-1}[/tex]

= [tex]\frac{2}{(3x-1)}\times \frac{6x-1}{6}[/tex]

= [tex]\frac{6x-1}{3(3x-1)}[/tex]

= [tex]\frac{6x-1}{(9x-3)}[/tex]

Therefore, [tex]\frac{6x-1}{(9x-3)}[/tex] will be the quotient of the given expression.

[tex]x\neq \frac{1}{3}[/tex] and [tex]x\neq \frac{1}{6}[/tex] for which the given expression is not defined.

Option (2) will be the answer.

Answer:

B

Step-by-step explanation:

Which statements are true about the table of values?
Check all that apply.
O xy = 3
When x = 3, y = 1.
x varies directly with y.
k = 1
3
The graph of this table would not be linear.

Answers

Answer:

A: xy= 3

B: When x= 3, y = 1

E: The graph of this table would not be linear.

Step-by-step explanation:

Edge

45% of all 1st graders at Sierra Elementary School are female students. This year there are 54 female 1st graders at Sierra Elementary School. How many 1st graders are there at Sierra Elementary School this year?

Answers

Answer:

There are 120 1st graders at Sierra Elementary School this year

Step-by-step explanation:

Let n represent the total number of 1st graders at Sierra Elementary School

Since 45% of all 1st graders at Sierra Elementary School are female students and this year there are 54 female 1st graders, 45% of n is equal to 54

→ n([tex]\frac{45}{100}[/tex]) = 54

→ 45n = 5400

→ n = 120

Answer:

number of first grader at Sierra elementary school = 120  

Step-by-step explanation:

The question says 45% of 1st graders at Sierra Elementary school are female student . This year there are 54 female 1st graders at Sierra Elementary school .The number of 1st graders at Sierra elementary school can be calculated below .

Let

the number of 1st grader = a

45 % of a = female population

This year the female 1st graders at the Sierra elementary school are 54. This can represented as follows

45% × a = 54

45/100 × a = 54

45a/100 = 54

cross multiply

45a = 5400

divide both sides by 45

a = 5400/45

a = 120

number of first grader = 120  

Other Questions
investing is best for ? True or False Some Crystals form from minerals dissolved in liquids On January 1, 2016, VKI Corporation awarded restricted stock units (RSUs) representing 11 million of its $1 par common shares to key personnel, subject to forfeiture if employment is terminated within three years. After the recipients of the RSUs satisfy the vesting requirement, the company will distribute the shares. On the grant date, the shares had a market price of $7.20 per share.Required:1. Determine the total compensation cost pertaining to the RSUs. (Enter your answers in millions rounded to 1 decimal place (i.e., 5,500,000 should be entered as 5.5).)2. to 6. Prepare the appropriate journal entries. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field. Enter your answers in millions rounded to 1 decimal place (i.e., 5,500,000 should be entered as 5.5).) Jerry is making trail mix for his camping trip. He has 400 grams of peanuts, 350 grams of raisins, and 785 grams of pretzels. He wants to make 2 kilograms of trail mix.How many more grams of ingredients does he need to add to the mix? Soccer Wholesale purchased land and a warehouse for $990,000. In addition to the purchase price, Soccer Wholesale makes the following expenditures related to the acquisition: broker's commission, $49,600; title insurance, $2,300; and miscellaneous closing costs, $6,900. The warehouse is immediately demolished at a cost of $75,300 in anticipation of building a new warehouse. Determine the amount Soccer Wholesale should record as the cost of the land. Which prepositional phrase in this sentence is used as an adjective? To prove that AED ACB by SAS, Jose shows that StartFraction A E Over A C EndFraction = StartFraction A D Over A B EndFraction.Triangle A E D is shown. Line segment B C is drawn from side A D to A E to form triangle A C B.Jose also has to state thatplease help!!!!!! Televised speeches, political commercials, interviews, and photo opportunities are used by candidates for public office to do all of the following EXCEPT: A. research public opinion on issues B. campaign for office C. communicate with voters D. keep constituents informed Please select the best answer from the choices provided A B C D This lesson discussed human rights violations since the end of World War II. But what exactly are human rights? Consider your own knowledge and ideas related to human rights. Then list five rights that you think are human rights in the table. Provide an explanation of each right in a few short sentences.Answer below:Human RightExplanationLife-All people are born with the right to life. This means that governments or other institutions shouldnt be able to take their lives from them.Freedom-People everywhere should have the right to be free. This means that they should not be imprisoned by their government without a good reason. Slavery also denies people the right to freedom.Voting- All people should have the right to choose the leaders of their country. They should have a say in how their country is run.Well-being- No one should have to live in poverty. All people should have the right to food, shelter, clean water, and medical care.Education- People everywhere should be able to get an education. They should be able to read and write, and they should have opportunities to go to college. cuales son los adjetivos de mr.johnson has a long beard.? n 3n = 14 4n please help I need the work not the answer, answer is 7 Discuss the procedure for dyeing fabric with several colours. Evaluate the expression when a=6 and b=4.b +9a Can someone please help me out I am so confused Birch Company normally produces and sells 43,000 units of RG-6 each month. RG-6 is a small electrical relay used as a component part in the automotive industry. The selling price is $30 per unit, variable costs are $19 per unit, fixed manufacturing overhead costs total $155,000 per month, and fixed selling costs total $46,000 per monthEmployment-contract strikes in the companies that purchase the bulk of the RG-6 units have caused Birch Companys sales to temporarily drop to only 14,000 units per month. Birch Company estimates that the strikes will last for two months, after which time sales of RG-6 should return to normal. Due to the current low level of sales, Birch Company is thinking about closing down its own plant during the strike, which would reduce its fixed manufacturing overhead costs by $60,000 per month and its fixed selling costs by 8%. Start-up costs at the end of the shutdown period would total $15,000. Because Birch Company uses Lean Production methods, no inventories are on hand.1 Assuming that the strikes continue for two months, what is the impact on income by closing the plant?2. At what level of sales (in units) for the two-month period should Birch Company be indifferent between closing the plant or keeping it open? Practice with Dilution Calculations IV,12V1. What is the initial volume of a 15.0 M stock solution which has been diluted to a final volume of250.-ml at a concentration of 2.35 M? You put $2000 into an account earning 4% interest compounded continuously. Find the amount in the account at the end of 8 years. Angle CCC is inscribed in circle OOO.\overline{AB} AB start overline, A, B, end overline is a diameter of circle OOO.What is the measure of \angle BBangle, B? ^\circ degrees What percentage of white Texas families owned slaves in 1860? What percentage didnot? I need help ASAP !!!