a rectangular tennis court has an area of 528 m^2. If the length is decreased by 1 m and the width is increased by 1 m, the area of the tennis court is increased by 16 m^2. Find the perimeter in metres. thanks

Answers

Answer 1

The perimeter of the rectangular tennis court is 96.7 m

How to solve an equation

An equation shows the relationship between two or more numbers and variables.

Let x represent the length and y represent the width. A rectangular tennis court has an area of 528 m², hence:

Area = length * width

528 = xy

y = 528/x

If the length is decreased by 1 m and the width is increased by 1 m, the area of the tennis court is increased by 16 m². Hence:

new area = new length * new width

528 + 16 = (x - 1)(y + 1)

xy + x - y + 1 = 544

x(528/x) + x - 528/x + 1 = 544

528 + x - 528/x + 1 = 544

multiplying through by x:

528x + x² - 528 + x = 544x

x² -15x - 528 = 0

x = 31.67, hence y = 528/31.67 = 16.67

Perimeter = 2(x + y) = 2(31.67 + 16.67)

Perimeter = 96.7 m

The perimeter is 96.7 m

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1


Related Questions

What is the slope of the line that passes through these two points (8, 4) and (5, 3)?

Answers

Answer:

the answer is 3/1

Step-by-step explanation:

u do 8-5/4-3 which is 3/1

Add.
7+(-7)= help help help

Answers

Answer:

the answer is 0

Step-by-step explanation:

a negative plus a positive is a positive

0
If you take 7 and subtract 7 from that, you get 0.

Can someone help me out it dosent seem hard but its just hard for me to focus​

Answers

The government levies a consumption tax known as a sales tax on the purchase of goods and services.At the point of sale, a standard sales tax is imposed, collected by the shop, and paid to the government.

Calculate sales tax ?

The formula sales tax = purchase price x sales tax rate can be used to calculate the sales tax that was imposed to a purchase by simply multiplying the tax rate by the purchase price.The final price paid with tax is calculated by adding the sales tax to the initial purchase price. The Short Answer: Retail purchases are subject to sales tax.It is used to fund local and state budgetary expenses including fire departments, roads, and schools.The Detailed Response: Sales tax is a type of consumption tax that is typically levied on goods purchased by customers from shops. Only when the taxable supply is made during a "taxable activity" is it assessed and paid.The amount to be taxed is the value of the products or supply.The nature of the sales tax requires that the customer bear the majority of the tax burden.Sales tax is an indirect tax, which explains why.

   equation sales tax = purchase price x sales tax rate.

   Sales tax = $800*7.5%

         = $60

 To learn more about sales tax refer

https://brainly.com/question/9437038

 #SPJ13    

The Federal form 1040 is used by whom to file taxes?
O Individuals
O Companies
O Law Enforcement
O Nonprofit Organizations

Answers

the answer is a. individuals

what is 2 and 2 add together

Answers

2+2 a very complicated math question 2+2 = 6 because there's two 2's so that gives us an extra 2 so the actual question is "what is 2 + 2 + 2"

so the answer to your question is 6

. let s be the subspace of c[a, b] spanned by ex , xex , and x2ex . let d be the differentiation operator of s. find the matrix representing d with respect to [ex , xex , x2ex ].

Answers

D(ex) = ex = 1.ex + 0.xex + 0.x2ex

D(xex) = ex + x.ex = 1.ex + 1.xex + 0.x2ex

D(x2ex) = x2ex + 2x.ex = 0.ex + 2.xex + 1.x2ex

So the matrix is:

          1    0    0

A =     1     1    0

          0    2    1

Learn more about Matrix here:

brainly.com/question/13179750

#SPJ4

16. Jani drives 290 miles in 5 hours. About how many miles does she
drive each hour?

Answers

Answer: 58

Step-by-step explanation: you divide 290 into 5

jani drives 58 miles per hour

I’m trying to do this equation I put the right question but it dosent work pls help ASAP

Answers

Answer:

x < 10

set builder notation: (-∞ , 10)

Step-by-step explanation:

2(x - 4) < 12

multiply left side out:

2x - 8 < 12

add 8 to both sides:

2x - 8 + 8 < 12 + 8

2x < 20

divide both sides by 2:

2x/2 < 20/2

x < 10

in set builder notation: (-∞ , 10)

help me out pleaseeeeeeeeeeeeeeeeee

Answers

Answer:

I'm pretty sure the answer is 191/30 when simplified

Step-by-step explanation:

Yup

A certain company's main source of income is selling cloth bracelets.
The company's annual profit (in thousands of dollars) as a function of the price of a bracelet (in
dollars) is modeled by:
P(x) = −2x² + 16x − 24
-
What bracelet price should the company set to earn this maximum profit?

Answers

The bracelet price on which company get its maximum profit  is 8 thousand dollar

what is function?

A rule or law that define an relationship between one variable to another variable

The company's annual profit (in thousands of dollars) as a function of the price of a bracelet (in dollars) is modeled by: P(x)=-2x^2+16x-24

To find maximum profit , we need to find out the vertex

x coordinate of vertex formula is -b/2a

P(x)= -2x^2 +16 x-24

a=-2  and b = 16

x= -b/2a= -16/2 x -2 = 4

Now we plug in 4 for x  and find out P(4)

P (x) = -2 x (4)^2 + 16 x 4 - 24 = 8

So the maximum profit the company can earn is 8 thousand dollars when price = $4

to know more about  function ,click here

https://brainly.com/question/28868477

#SPJ9

Part 1
Tell whether the sequence is arithmetic. If it​ is, identify the common difference.
-1,4,9,14

Answers

yes because it’s adding by the same number each time
arithmetic means adding or subtracting by the same number each time

Solve the system of linear equations using the substitution method.

X = 5 and 2x + y = 10

A. (5, -5)

B. (5, 0)

C. (2, -2)

D. (2, -1)

Answers

Answer:

B

Explanation:

x = 5

2x + y = 10

Substitute x = 5 into 2x + y = 10

2(5) + y = 10

10 + y = 10

y = 0

Hence, coordinates are (5,0).

how is a circle square and triangle related?

Answers

In order to depict alchemy and the philosopher's stone, which is the ultimate goal of alchemy, a sign of a circle within a square within a triangle within a larger circle started to be used in the 17th century.

What do the symbols for a circle, triangle, and square mean?

It has deep philosophy where a circle symbolizes heaven and represents number one, a square represents earth and represents number two, and a triangle represents people and represents number three.

An enduring representation of good fortune, the triangle enclosed within a circle was thought to stave off evil spirits. It was accepted by Alcoholics Anonymous as a symbol of a person's transition from an alcohol preoccupation to a life saturated with the triangle of Recovery, Unity, and Service.

To learn more about Alchemy refer to:

https://brainly.com/question/17199784

#SPJ13

[tex]\sqrt{x} 10 greater than, less than, or equal to 3[/tex]

Answers

The square root of 10 will be greater than 3.

What is square root of a number?

The square root of a number is the value which when multiplied by itself results into the number. Mathematically -

n = x²

then -

x = [tex]\sqrt{n}[/tex]

Given are two numbers as -

[tex]\sqrt{10}[/tex] and 3.

Now, the square root of 10 will be 3.16 (approx.)

On comparing the square root of 10 with 3, we can clearly see that the square root of 10 will be greater than 3. Mathematically -

[tex]\sqrt{10}[/tex] > 3.

Therefore, we can conclude that the square root of 10 will be greater than 3.

To solve more questions on comparing numbers, visit the link below-

https://brainly.com/question/13763555

#SPJ1

What is the shaded area???

Answers

Answer:

Area of circle is 9π cm²

Step-by-step explanation:

- If area of the area of the square is 36 cm², the length of one side of a square can be found;

[tex]{ \rm{area \: of \: square = side \times side}} \\ { \rm{36 = {x}^{2} }} \\ { \rm{x = \sqrt{36} }} \\ { \rm{x = 6 \: cm}}[/tex]

- If you make a clear observation from the figure, length of a square corresponds to the diameter of a circle;

[tex]{ \rm{radius = \frac{1}{2} \times length \: of \: square }} \\ \\ { \rm{r = \frac{1}{2} x}} \\ \\ { \rm{r = \frac{1}{2} \times 6 }} \\ \\ { \rm{r = 3 \: cm}}[/tex]

- Therefore, let's find the area;

[tex]{ \rm{area = \pi {r}^{2} }} \\ { \rm{area = \pi {(3)}^{2} }} \\ { \rm{area = 9\pi \: {cm}^{2} }}[/tex]

[tex]{ \boxed{ \red{ \delta}}}{ \underline{ \mathfrak{ \: creed \: ...}}}[/tex]

Aisha can work up to 20 hours per week. Working at a bakery, she earns $7 per hour most of the time and $8.50 per hour during the early morning shift. Aisha needs to earn at least $150 this week to pay for a trip with her
friends. Determine the number of regular and early morning hours that Aisha could work.

Answers

Answer:

Minimum 7 early morning hours

Maximum 13 regular hours

Step-by-step explanation:

x: number of regular hours

y: number of early morning hours

i) x + y = 20

ii) 7x + 8.5y = 150

ii - 7i

1.5y = 10 --> y = 10/1.5 = 20/3 = 6 2/3

x + 20/3 = 20 --> x = 40/3 = 13 1/3

She could work a minimum of 7 hours in the early morning and a maximum of 13 regular hours.

( 50 points ) Can some1 help me figure out these ???

Answers

Volume of boxes as per condition given:

a. Volume of fish food cube=(1/64) ft³

b. Volume of big box=(1/32)ft³

c. Volume of shipping box=(585/16) ft³

As given,

Dimensions of fish food cubes:

Length=1/4 ft

Width=1/4 ft

Height=1/4ft

a. Volume of fishing food cube=Length ×width ×height

                                                     =(1/4)×(1/4)×(1/4)

                                                     =(1/64)ft³

b. Volume of big box

=(Number of boxes) ×(volume of fishing food cubes)

=2×(1/64)

=(1/32)ft³

c. Dimensions of shipping box

Length=3ft

Width=3 3/4 ft

         =15/4 ft

height=3 1/4 ft

          =13/4 ft

Volume of shipping box=3 × (15/4) ×(13/4)

                                              =(585/16) ft³

Therefore, volume of boxes as per condition given:

a. Volume of fish food cube=(1/64) ft³

b. Volume of big box=(1/32)ft³

c. Volume of shipping box=(585/16) ft³

Learn more about volume here

brainly.com/question/1578538

#SPJ1

Torrie has $430 and Sonia has $760. John has the same number of dollars more than Torrie as he has less than Sonia.How much money does John have?

Answers

John has $595 in his possession.

An algebraic expression is what?

An expression that has been created utilizing integers, constants, variables, and algebraic operations is known as an algebraic expression.

For instance, [tex]x^{2} + 2x + 2[/tex]

2x + 3

etc

The answer to the query is

John has the same amount of more money over Torrie as he has under Sonia.

Let's suppose it is $x since John has the same amount of money more than Torrie as he has less than Sonia.

Case 1

Actual amount that John has is $430 plus $x.

Case 2

Actual amount that John has is $760 less $x.

⇒ $430 + $x = $760 - $x

⇒ $2x = $330

⇒ $x = $165

John currently possesses $595 ($760 - $x) or ($430 + $x) in his possession.

John therefore has $595 in his bank account.

The amount of money that john has is $595

To learn more about algebraic expressions click the link provided

https://brainly.com/question/4344214

#SPJ10

The table represents a quadratic function. Write an equation of the function in standard form.

x | 3,4,5,6
y | 10,7,10,19

I don't know how to find the vertex for this

Answers

The equation of the function in standard form is  3x + y = 25.

What is a quadratic function?

f(x) = ax2 + bx + c, where a, b, and c are numbers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph. Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they all share the same fundamental "U" form.

From the given table we can get the dy/dx which is the slope (m) ,

Therefore,

dy/dx = (7 - 10 ) / ( 4 - 3 )

dy/dx = -3

Now,

( y - y1 ) = m ( x - x1 )

Putting the value from the table,

( y - 10 )  = -3 ( x -5 )

=> y - 10 = -3x + 15

=> 3x + y = 25

To learn more about slope click on the link below:

https://brainly.com/question/16949303

#SPJ9

-n/3 is greater or equal than 0.75



Please help me with this equation

Answers

Answer: n<= -2.25

Step-by-step explanation:

1) Lay the equation out

[tex]\frac{-n}{3} \geq 0.75[/tex]

2) Multiply 3 on both sides to leave n by itself.

[tex]-n \geq 0.75*3\\-n \geq 2.25\\\\[/tex]

3) Multiply -1 on both sides.

Note: Multiplying -1 will flip the sign.

[tex]n \leq 2.25*-1\\n\leq -2.25[/tex]

4) Answer

n<= -2.25

the record high January temperature in Austin, Texas, is 90F. the record low January temperature is -2F. Find the difference between the high and low temperatures.

Answers

Answer:

92F

Step-by-step explanation:

the record high January temperature in Austin, Texas, is 90F. the record low January temperature is -2F. Find the difference between the high and low temperatures.

= 90 - (-2)

= 90 + 2

= 92F

Angel and his children went into a restaurant and will buy hotdogs and drinks. Each
hotdog costs $5 and each drink costs $1.50. Angel has a total of $50 to spend on
hotdogs and drinks. Write an inequality that would represent the possible values for
the number of hotdogs purchased, h, and the number of drinks purchased, d.

Answers

Considering the definition of an inequality, an inequality that represent the possible values for the number of hotdogs purchased and the number of drinks purchased is 5h + 1.50d≤ 50.

Definition of inequality

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.

An inequality contains one or more unknown values, in addition to certain known data.

Inequality in this case

In this case, you know that:

Each hotdog costs $5 and each drink costs $1.50. Angel has a total of $50 to spend on hotdogs and drinks.

Being:

"h" the number of hotdogs purchased."d" the number of drinks purchased.

the inequality that expresses the previous relationship is

5h + 1.50d≤ 50

Learn more about inequality:

brainly.com/question/17578702

brainly.com/question/17122606

brainly.com/question/25275758

brainly.com/question/14361489

brainly.com/question/1462764

#SPJ1

need this asap!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Triangle ABC has two given angles: 105 degrees and 47 degrees. Because a triangle has a total of 180 degrees, then angle BCA has angle 180 - 105 - 47 = 28

Angle BCA and Angle CAE are alternative interior angles, meaning they are equal. Thus angle CAE should be 28 degrees

Mrs. Carpio purchased 30 cookies. She gives half of the cookies to her students. Then, she purchases some more, c, cookies on her way home.

Answers

The number of cookies that she has when she reaches home is given by the following algebraic expression:

n = 15 + c.

Which algebraic expression models the situation?

The initial number of cookies that she has is given by:

30.

(as stated in the problem).

She gives half of that amount to her students, hence the number of cookies that she has remaining is:

0.5 x 30 = 15 cookies remaining.

(to find the half of an amount, we can either divide by 2 or multiply by 0.5).

Then, on her way home, she purchases c cookies, hence the total number of cookies that she has when she reaches home is given by the following expression:

15 + c.

(she had 15, and then c was added to that amount).

Missing information

The problem is incomplete, hence we suppose that is asks for how many cookies she has when she reaches home.

More can be learned about algebraic expressions at https://brainly.com/question/4344214

#SPJ1

results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. a random sample of 200 high school seniors from this city reveals that 162 plan to attend college. does this indicate that the percentage has increased from that of previous studies? test at the 5% level of significance. what is the p-value associated with your test of hypothesis?

Answers

The allegation that the proportion has increased from that of earlier studies is not supported by enough data.

What is Hypothesis test?

Hypothesis test: A statistical hypothesis test is a method of statistical inference used to decide whether the data at hand sufficiently support a particular hypothesis. Hypothesis testing allows us to make probabilistic statements about population parameters

Let p represent the population percentage.

Then, Null hypothesis  : H₀:p=0.79

Alternative hypothesis : H₀:p>0.79

The hypothesis test is a right-tailed test because the alternative hypothesis is right-tailed.

Out of 200 high school seniors in this city, 162 intend to enroll in college, according to a random sampling.

Because n = 200 > 30 we must employ the z-test (otherwise we use t-test.)

p`=162/200=0.81

Population percentage test statistic:

[tex]z=(p`-p)/[/tex][tex]\sqrt{p`(1-p)/n[/tex]

[tex]z=(0.81-0.79)/\sqrt{0.81(1-0.81)/200}[/tex] =0.720984093915≈0.72

Consequently, the sample test statistic's z-value is 0.72.

Right-tailed test P-value:

[tex]p(z > 0.72)=1-p(\leq 0.72)[/tex]

≈[tex]1-0.7642375[/tex]

≈[tex]0.2357625[/tex]

≈[tex]0.2358[/tex]

We are unable to reject the null hypothesis since the p-value is higher than the threshold for significance (0.05).

Therefore, we draw the conclusion that the allegation that the proportion has increased from that of earlier studies is not supported by enough data.

To learn more about hypothesis test visit:

brainly.com/question/17099835

#SPJ4

N
2.
Find the area of each sector. Round your answer to the nearest tenth.
1.
sector PQR
29
R
sector JKL
8 cm 135°
K
6m
P
90°
L
Area =
Area =
1 0.7
2 1.6

cm²
3 28.7
4 75.4

Answers

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =135 \end{cases}\implies A=\cfrac{(135)\pi (8)^2}{360}\implies A=24\pi \implies A\approx 75.4[/tex]

mcdonald's claims that their monopoly game has a win rate of 25%. if you play the game 500 times, what is the probability that your win rate will be between 21% and 23%?

Answers

The required probability is 0.132 .

What is normal approximation?

The sampling distribution of averages or proportions from a large number of independent trials approximately and the expectation of a sample proportion or average is the corresponding population value.

On solving using mean sampling method, we get

P(E) = 0.132

Hence, the required probability is 0.132 .

Learn more about approximation from the link

https://brainly.com/question/27278132

#SPJ4

a is parallel to e and b is parallel to d, find y

Ae = 97-2
Bd = 4x+5

Answers

The value of y in the equation is 12.

What are internal angles of a triangle?
According to the alternate angle theorem, when a transversal cuts two parallel lines, the resulting alternate interior angles or alternate exterior angles are congruent.

BD falls on CE, thus angles dividing BD on CE will sum up to 180°.
Given ∠BDC = 4x - 5 and ∠BDE = 10y - 3
Thus, ∠BDC + ∠BDE = 180° ⇒ (4x - 5) + (10y - 3) = 180° - (i)
Therefore, rearranging (i), we get 4x + 10y = 188° -- (A)
Again, since alternate angles are equal, thus ∠BDC = ∠AEC
Thus, 4x - 5 = 97 - 2x ⇒ 6x = 102 ⇒ x = 102/6 = 17 --(ii)
From (A) and (ii), we get, 4(17) + 10y = 188 ⇒ 10y = 120 ⇒ y = 12
Therefore the value of y is 12.

To learn more about this, tap on the link below:
https://brainly.com/question/17228179

#SPJ9

A 28° 0 128° B C Problem 4.1 Determine the measure of the missing angle.​

Answers

Answer:

24°

Step-by-step explanation:

the interior angle of a triangle is 180°

therefore Let <ACB =x

128°+28°+x=180°

156°+x=180°

make x the subject

x=180°-156°

x=24°

HELP PLEASE DONT IGNORE

Answers

Answer:

Y=3/4x-2

Step-by-step explanation:

Atleast I think so

Answer:

y=3/4x-2

Step-by-step explanation:

y=mx+b

Y= 3/4x-2 because you rise 3 run 4 and the line crosses the y-axis at the point (0, -2)

Other Questions
Function g is a transformation of the parent function f(x) = x2. The graph of fis reflected across the x-axis, and then translated left 4 units anddown 2 units to form the graph of gWrite the equation for g in the form y = ax2 + bx + cO A. y = -x2 + 8x + 14O B. y = -x2 - 8x - 18O C. y = x2 - 8x + 18O D. y = -x2 - 8x + 14 customer account numbers for a certain company consists of 4 letters followed by 2 single digit numbers. how many different account numbers are possible if repetitions of letters and digits are allowed? give the tightest asymptotic bounds you can for the following recurrences and provide a short explanation for your solution. you may assume that t(1) Countries like America and Britain knew about the German persecution of Jews but did not accept many refugees because of issues with their ownimmigration policies.O A.B.WTrueFalse I need help! Anyone who takes time out of there day to help me thank you so much! Words best describe Charles disruptive and misbehaving shy and quiet friendly and helpful or evil and hateful Someone who believes in sharing power between state and the national government is a ______________ . Someone who believes power should be concentrated in the national government is a ________________. Btw this are to different question, if you can help thank you A bird is flying above a tree. You are standing 40 feet away from the tree. The angle of elevation to the top of the tree is 32, and the angle of elevation to the bird is 42. What is the distance from the bird to the top of the tree? I do not need a whole explanation just make the answer clear, please. What is co-occuring disorder of effective prose? Why was Ronald Cotton convicted of ra_pe and burglary? Alphanumerically sequenced list of all diagnosis codes divided into 21 chapters based on cause, or etiology, and body system can be found in what section of the icd-10 manual?. A model of Spaceship Earth, a major tourist attraction at Epcot Center in Florida, is a sphere whose diameter is approximately 5 inches.The volume of the model sphere is approximately ___ cubic inches.Use 3.14 for pi. Round only your final answer to the nearest hundredth. Consider the differences between anaerobic and aerobic exercises. Is one of these exercises more important than the other in an exercise program? Support your answer with examples. how many milliliters of 3.00 m h2so4 are required to react with 4.35 g of a solid mixture containing 23.2 % (w:w) ba(no3)2? (i.e. in the original sample, there are 23.2 g of barium nitrate per 100 g of total sample) (5 pts) 155% as a mixed or whole number Which explains how ocean currents affect global climates?(1 point)ResponsesWater absorbs a lot of thermal energy and releases it all at once.Water absorbs a lot of thermal energy and releases it over time and distance.Water absorbs little thermal energy and releases it over time and distance.Water absorbs little thermal energy and releases it all at once. The sides of a scalene triangle have measures that are consecutive even integers. If the perimeter of thistriangle is 60 inches, what is the length of the longest side of the triangle? Can someone please help me with this 20 points! In a short paragraph of two to three sentences, explain how content differs from intent. Provide an example from a recent mass media message and identify both the content and intent within the message.