a rectangle parking lot has an area of 1775 square meters and a perimeter of 192 meters what is it dimension

Answers

Answer 1

Answer:

71 & 25 m

Step-by-step explanation:

a • b = 1775

2a + 2b = 192

substitution:

a = 1775/b

2(1775/b) + 2b = 192

distribute the 2

(3550/b) + 2b = 192

subtract 192 from both sides

(3550/b) + 2b - 192 = 0

transform the expression by dividing all terms by b

(3550 + 2b² - 192b) / b = 0

when the quotient of expressions equals 0, the numerator has to be 0

3550 + 2b² - 192b = 0

reorder the terms

2b² - 192 b + 3550 = 0

divide by sides by 2

b² - 96b + 1775 = 0

rewrite -96b as a difference using factoring X

b² - 25b - 71b + 1775 = 0

factor the expression (factor out b)

b (b-25) - 71b + 1775

factor out b - 25 from the expression

(b - 25) (b - 71) = 0

if b = 25 or 71, then a = 71 or 25

71 & 25 m


Related Questions

The temperature falls from 0 degrees to -12 degrees in 3 hours. Which expression finds the change in
temperature per hour?
7 49
24
49.7
49 7

Answers

Answer:

Step-by-step explanation:

The change in temperature over the three hours is -12 - 0 = -12 degrees. To find the change in temperature per hour, divide the total change by the number of hours:

-12 / 3 = -4 degrees per hour

So, the change in temperature per hour is -4 degrees. The answer is -4.

Hi I will give the brainliest to whoever answers my question what is the range(spread) in the student enrollment

Answers

Answer:

i think a year or less like 6 months

Step-by-step explanation:

what has the same value as -8+(-9)

Answers

Answer: -17

Step-by-step explanation:

-8+-9=-17

(っ◔◡◔)っ ♥ Answer:

⁎   -17        

Explanation:

-8 + ( -9 )

Parenthesis Multiplies the Negative ( - ) and Positive ( + ) which Is Negative ( - ). The the equation would be re-written as :  -8 - 9. Staring for -8 you going back (Because of subtraction) 9 times and you get -17 :D

A word from me:

- Please mark me brainiest, trying to achieve the next rank!

- Hope you have a wonderful & great day! ♥ ヾ(•ω•`)o

Lin rode her bike 2 miles in 8 minutes. She rode at a constant speed. How
many minutes did it take for her to travel 1 mile? *

Answers

Answer: 4

Step-by-step explanation:

For this question, we have to divide the number 8 by 2.

8 ÷ 2 = 4

Now, we have to take the quotient, 4, and multiply it by 1.

1 x 4 = 4

The answer is 4.

The volume of a cuboid is 176cm3.
The length is 11cm and the width is 20mm.
Work out the height of the cuboid in cm.

Answers

The height of the cuboid is 8 cm.

What is Volume?

Volume is a measure of the amount of space occupied by a three-dimensional object or substance. It is expressed in cubic units such as cubic meters (m³) or cubic centimeters (cm³).

We first need to convert the width to cm since the length and height are given in cm:

20 mm = 2 cm (since 1 cm = 10 mm)

The formula for the volume of a cuboid is V = lwh, where l is the length, w is the width, and h is the height. We can solve for h by rearranging the formula:

h = V / lw

Substituting the given values, we get:

h = 176 / (11 x 2)

h = 8

Therefore, the height of the cuboid is 8 cm.

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Need help with this!

Need help with this!

Answers

The output of the function call doWork(30) is given as follows:

9.

How to obtain the output of the function?

The input of the function is given as follows:

n = 30.

Hence we apply the recursion as follows:

doWork(30) -> return 1 + doWork(15).doWork(15) -> return 1 + doWork(7) -> integer part of the division is 7.doWork(7) -> return 7 -> less than 10.

Now we apply the inverse procedure, as follows:

doWork(15) -> return 1 + 7 = 8.doWork(30) -> return 1 + 8 = 9.

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What is the approximate circumference of the circle shown below

What is the approximate circumference of the circle shown below

Answers

Answer: A) 46.5 cm

Step-by-step explanation:

Circumference = 2 π r or Circumference = π d

In this case, they give us the diameter = 14.8 cm. Therefore the radius = 14.8/2 = 7.4 cm.

π ≈ 3.14.

We can use either equation above, but because the diameter was given, we will use c = πd for simplicity.

C = π d

= (3.14)(14.8)

= 46.47 cm, which rounds to 46.5 cm

find an equation of the plane passing through that is orthogonal to the planes xyz and xyz.

Answers

The equation of the plane passing P(1,2,1) and is orthogonal to the two planes: x-y-z-10 = 0, x-2y + z-2=0 is 3x + 2y + z = 8.

We need a point b and a vector v along the line in order to characterize it. We might alternatively begin with the two points a and b and use the formula v = ab.
A point Q and a vector n perpendicular to the plane are required in order to describe a plane. Later on, we'll look at how to get n from various types of information, such as the positions of three points on a plane.

A plane is a flat, endlessly long, two-dimensional surface. A plane is a point with zero dimensions, a line with one dimension, and space with three dimensions in two dimensions. The picture below that is attached shows the answer.

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Question correction:

Find the equation of the plane passing P(1,2,1) and is orthogonal to the two planes: x-y-z-10 = 0, x-2y + z-2=0

find an equation of the plane passing through that is orthogonal to the planes xyz and xyz.

Jenny and Kenny are walking in the same direction, Kenny at 3 feet per second and Jenny at 1 foot per second, on parallel paths that are 200 feet apart. A tall circular building 100 feet in diameter is centered midway between the paths. At the instant when the building first blocks the line of sight between Jenny and Kenny, they are 200 feet apart. Let T be the amount of time, in seconds, before Jenny and Kenny can see each other again. If T is written as a fraction in lowest terms, what is the sum of the numerator and denominator?

Answers

According to the question The sum of the numerator and denominator is 201.

To solve this problem, let's consider the situation at the instant when the building first blocks the line of sight between Jenny and Kenny. We can start by visualizing the scenario.

We have two parallel paths that are 200 feet apart, with Kenny walking at 3 feet per second and Jenny walking at 1 foot per second. The circular building is 100 feet in diameter and is centered midway between the paths.

Let's represent the initial positions of Jenny and Kenny as J and K, respectively, and the center of the circular building as B. The distance between J and B, and between K and B, is 100 feet each.

The distance Kenny travels in time T is given by 3T, and the distance Jenny travels in time T is given by T.

Now, let's consider the configuration of the paths and the circular building at this moment. We have a right triangle formed by the line connecting J and K, the distance between J and B (100 feet), and the distance between K and B (100 feet).

Since the triangle formed by J, K, and B is a right triangle, we can apply the Pythagorean theorem:

\((3T)^2 + T^2 = 200^2\)

Simplifying the equation:

\(9T^2 + T^2 = 40000\)

\(10T^2 = 40000\)

Dividing both sides by 10:

\(T^2 = 4000\)

Taking the square root of both sides:

\(\( T = \sqrt{4000} \\\\= 20\sqrt{10} \)\)

Therefore, the amount of time before Jenny and Kenny can see each other again is \(\( 20\sqrt{10} \)\) seconds.

To express T as a fraction in lowest terms, we can rationalize the denominator:

\(\[ T = 20\sqrt{10} \cdot \left(\frac{\sqrt{10}}{\sqrt{10}}\right) \]\)

\(\[ T = 20\sqrt{\frac{10 \cdot 10}{10}} \]\)

\(\[ T = 20 \cdot \sqrt{10} \]\)

\(\[ T = 20 \cdot 10 \]\)

\(\[ T = 200 \]\)

So, T can be written as the fraction \(200/1.\)

The sum of the numerator and denominator is \(200 + 1 = 201.\)

Therefore, the sum of the numerator and denominator is \(201.\)

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how many ways can 3 boys and 4 girls sit in a row such that no two people of the same sex sit together? solve using combinatorics

Answers

Answer: We can solve this problem using the technique of combinatorics known as the "Stars and Bars" method.

We can think of the 3 boys and 4 girls as 7 distinguishable objects and 3 "bars" that separate them. We are trying to find the number of ways to place the 3 bars among the 7 objects.

For example, if the 3 bars are represented by the symbols |, |, |

BB|G|GBG|G|GBG

The leftmost and rightmost spaces always contain a boy or a girl, so there are a total of 9 spaces to put the 3 bars.

This means that there are C(9,3) = 84 ways to place the 3 bars among the 7 people.

So, there are 84 ways in which 3 boys and 4 girls can sit in a row such that no two people of the same sex sit together.

Step-by-step explanation:

identify the surface whose equation is given. rho2(sin2(φ) sin2(θ) + cos2(φ)) = 81

Answers

The equation involves both sin²(φ) and cos²(φ), as well as sin²(θ), which indicates that the surface has a more complex shape, possibly involving rotational symmetry.

To identify the surface whose equation is given as ρ²(sin²(φ) sin²(θ) + cos²(φ)) = 81, we can follow these steps:

Rewrite the equation
We have the equation: ρ²(sin²(φ) sin²(θ) + cos²(φ)) = 81

Isolate ρ²
We can rewrite the equation as: ρ² = 81 / (sin²(φ) sin²(θ) + cos²(φ))

Find ρ
Take the square root of both sides to find ρ: ρ = √(81 / (sin²(φ) sin²(θ) + cos²(φ)))

The given equation represents a surface in spherical coordinates (ρ, φ, θ). Since ρ (the radial distance) is expressed in terms of φ and θ, the surface is not a simple sphere or ellipsoid. The equation involves both sin²(φ) and cos²(φ), as well as sin²(θ), which indicates that the surface has a more complex shape, possibly involving rotational symmetry.

However, without further information, it's difficult to provide a specific name for this type of surface.

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You have made 160 duct tape wallets to sell. If you sell 3 each day, write a function that represents this situation.

Answers

A function that represents this situation of selling 3 duct tape wallet per day out of of 160 duct tapes wallets produced is

y = 160 - 3x

How to write the expression of the situation

Information from the problem

You have made 160 duct tape wallets to sell

If you sell 3 each day

From the information we can deduce that

assuming amount left is y and the number of days x the  we have

y = 160 - 3x

Therefore we can say that the expression to represent the situation of selling 3 duct tape wallet per day is  y = 160 - 3x

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please answer this in steps....​

please answer this in steps....

Answers

Answer:The answer is 3.14..For finding it you have to divide the given numbers.

This is also a value of π (pi)

A mouse has made holes in opposite corners of a rectangular kitchen. Starting from its hole
in the northwest corner, the mouse scurries 20 feet along the length of the kitchen to reach a
piece of cheese in the southwest corner. Then the mouse scurries 15 feet along the width of
the kitchen to its other hole in the southeast corner. Finally the mouse scurries back to the
first hole. What is the total distance the mouse scurries?

Answers

Answer:

60 ft

Step-by-step explanation:

a² + b² = c²

20² + 15² = c²

c = √625

c = 25

total distance = 20 ft + 15 ft + 25 ft = 60 ft

Determine the equation of a circle graphed below

Determine the equation of a circle graphed below

Answers

The equation of the circle is \((x-h)^{2} +(y-k)^{2} =r^{2}\)

(h,k) center of the circle --> (-6, 6)r is the radius --> \(\sqrt{(-5--6)^2 + (9-6)^2} = \sqrt{1 +9} =\sqrt{10}\)

Thus the equation of the circle is:

  \((x+6)^{2} +(y-6)^2=10\)

Hope that helps!

2) help it a normal cube with 3 everywhere Why is volume calculated in units cubed? Figure I ​

Answers

Volume is the amount of space an object takes up, and is calculated by multiplying the object's length, width, and height together

Volume is calculated in units cubed because it is a measure of how much three-dimensional space an object occupies.

Volume = Length×Width×Height

=3×3×3

=27 cubic units

Volume is the amount of space an object takes up, and is calculated by multiplying the object's length, width, and height together.

This is why it is usually represented in units cubed.

Hence, Volume is the amount of space an object takes up, and is calculated by multiplying the object's length, width, and height together

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Suppose a rectangular patio has an area of 24 *
ft? and its width is 5 less than its length. What
is its length, width, and perimeter? (Check 3
boxes)

Suppose a rectangular patio has an area of 24 *ft? and its width is 5 less than its length. Whatis its

Answers

Answer:

Step-by-step explanation:

width= length-5

area= length*width

area= length * (length-5)

area= l*(l-5)

area =\(l^{2}\) -5l

\(l^{2}\)-5l= 24

\(l^{2}\)-5l-24=0

FACTORISE

(l+3)(l-8)

l= -3 or +8

Length is positive therefore, l= 8

width = l-5

width = 8-5=3

width = 3

perimeter = 2(l+b)

perimeter = 2(8+3)

perimeter = 22

what is the opposite of 7 plus the opposite of 9

Answers

Answer:

-7.11111111111

Step-by-step explanation:

A bird is flying directly above a tree. You are standing 84 feet away from the base of the tree. The angle of elevation to the top of the tree is 38, and the angle of elevation to the bird is 60, what is the distance from the bird to the top of the tree

Answers

The distance from the bird to the top of the tree is 61.95 feet.

We have,

Angle of elevation to the top of the tree: 38 degrees.

Angle of elevation to the bird: 60 degrees.

Distance from the base of the tree to your position: 84 feet.

Let the distance from the bird to the top of the tree as 'x'.

Using Trigonometry

tan(38) = height of the tree / 84

height of the tree = tan(38) x 84

and, tan(60) = height of the tree / x

x = height of the tree / tan(60)

Substituting the value of the height of the tree we obtained earlier:

x = (tan(38) x 84) / tan(60)

x ≈ 61.95 feet

Therefore, the distance from the bird to the top of the tree is 61.95 feet.

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What is the circumference of a circle with the radius of 7 inches?

Answers

Answer:

Circumference is 43.98 inches

Step-by-step explanation:

Circumference = 2πr

= 2×3.14 ×7

= 43.98


The perimeter of a plot of land is 122m. The width is 9m shorter than the length. Find the dimensions the field.

Answers

The dimensions of the plot of land are 35m in length and 26m in width.

We can arrive at the answer by the simple process of applying simultaneous equations for two variables.

We know that the perimeter of a rectangular plot (shape evident from given parameters) is as follows.

P = 2*(l+b)

From this, we obtain our first equation.

122 = 2*(l+b)

l+b = 61        -----> (1)

The second equation can be obtained from the second statement.

b = l - 9

l-b = 9            -----> (2)

We have two equations for obtaining the values of two variables.

Adding the equation on both sides, we get:

(l+b) + (l-b) = 61+9

2l = 70

l = 35m

b = 61-l = 26 or l-9 = 26

Thus, the dimensions of the field are 35 * 26 (m)

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ANSWER FOR BRAINLIEST
Identify the graph for the point C(−2, −1, 2) in three-dimensional space.

ANSWER FOR BRAINLIESTIdentify the graph for the point C(2, 1, 2) in three-dimensional space.
ANSWER FOR BRAINLIESTIdentify the graph for the point C(2, 1, 2) in three-dimensional space.

Answers

Answer:

the topmost one maybe?

Step-by-step explanation:

I'm guessing since X & Y are negative, (it's written X,Y,Z, right?)

The point would be reducing on the X&Y axes, an since Z is positive, it would increase on the Z axis

The point C( -2,-1, 2) is represented by option 4 in the three dimensional space

What does the coordinates of a point mean in a three dimensional space?

Let (x, y , z) be any point in the three dimension then x represents x-coordinate, y represent y-coordinate and z represent z- coordinate

The point C( -2, -1. 2) represent point with x = -2 , y = -1  and z = 2

(-2,-1) is point with x= -2 and y = -1 represent  is marked in the the x y plane in fourth quadrant and z =2 means that this (-2,-1 ) is taken 2 units up in the perpendicular direction of positive z- axis as shown in the attached figure.

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ANSWER FOR BRAINLIESTIdentify the graph for the point C(2, 1, 2) in three-dimensional space.
ANSWER FOR BRAINLIESTIdentify the graph for the point C(2, 1, 2) in three-dimensional space.

A researcher describes the characteristics of three groups of subjects in a study. What statistics should the researcher use to analyze this demographic data

Answers

These statistical measures help the researcher summarize, describe, and understand the data collected from the study participants.

As the researcher is describing the characteristics of the subjects, the appropriate statistical analysis would be descriptive statistics.

Descriptive statistics is a method that summarizes and describes the data collected in a study. It includes measures such as mean, median, mode, standard deviation, range, and frequency distribution.

These measures can provide a clear picture of the demographic data of the three groups of subjects and help in drawing meaningful conclusions.

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If 16,000 divided by n=4

Answers

Answer: If you're asking for the answer if 16,000 divided by 4, it would be 4000, don't know for sure if that's what you were asking for! Hope I helped!

2√10c (4√30 + 3√/2c³)

Answers

Answer:

80√3c+12√5c⁴

Step-by-step explanation:

You gave 2√10c (4√30 + 3√2c³) so...

1.) Distribute
You will then get 8√300c+6√20c⁴

2.) Simplify the radical expression and you will get
8x10√3c+6x2√5c⁴

3.) Calculate
80√3c+12√5c⁴

And that is your answer

Answer:

80√3c+12√5c⁴

Step-by-step explanation:

2√10c (4√30 + 3√2c³) so first things first:

1.) Distribute

You will then get 8√300c+6√20c⁴

2.) Simplify the radical expression and you will get

8x10√3c+6x2√5c⁴

3.) Calculate

80√3c+12√5c⁴

PLEASE HELP NEED ANSWRER QUICK

PLEASE HELP NEED ANSWRER QUICK
PLEASE HELP NEED ANSWRER QUICK

Answers

First question is A between 0 and 10 minutes because the line is only going up in those minutes

Answer:

A is the answer

Step-by-step explanation:

Incressing on the means model is going up unit is at a steady pace.

Write the y-intercept of the graph of 8x − 4y = 2?

Answers

Answer:

b= -1/2

Step-by-step explanation:

-2/4 is simplified to -1/2 as the y-intercept

y= -4x - 1/2

The end of a dog's leash is attached to the top of a 5-foot-tall fence post, as shown in the diagram below. The dog is 7 feet away from the base of the fence post. What is the measure of the leash

Answers

Answer:

10 feet long

Step-by-step explanation:

im good with that triangle theroy

Answer:

Step-by-step explanation:

Suppose you inherited a house that was purchased in 1950 for $20,000. it is now 2015 and the value has increased by approximately 5% each year (compound annually). what is the house worth now

Answers

The house is worth approximately $168,117.09 now. It has increased in value due to an annual compound growth rate of 5% since 1950.

The house is worth approximately $168,117.09 now. The value of the house has increased over time due to an annual compound growth rate of 5%.

To calculate the current value of the house, we can use the formula for compound interest:

\(A = P(1 + r/n)^(^n^*^t^)\)

A = Final amount (current value of the house)

P = Initial amount (purchase price of the house)

r = Annual interest rate (5%)

n = Number of times interest is compounded per year (assuming once per year)

t = Number of years (2015 - 1950 = 65)

Substituting the values into the formula, we get:

\(A = $20,000(1 + 0.05/1)^(^1^*^6^5^)\)

A ≈ $168,117.09

Therefore, the house is worth approximately $168,117.09 now.

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11) A bag contains five yellow jerseys
numbered one to five. The bag also
contains three purple jerseys numbered
one to three. You randomly pick a jersey.
It is purple or has an odd number.

Answers

The probability that the It is purple or has an odd number is 1.045.

According to the statement

We have to find that the probability of the given condition.

So, For this purpose, we know that the

Probability is the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.

From the given information:

five yellow jerseys numbered one to five and three purple jerseys numbered one to three.

The probability that the It is purple or has an odd number.

Then

Probability = 3/8 + 2/3

Probability = 0.375 + 0.67

Probability = 1.045.

So, The probability that the It is purple or has an odd number is 1.045.

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Cmo ests?A.nada B. Mucho gustoC. Mas o menosD. Hola Blasto, Inc., operates several mines. At one, a typical batch of ore run through the plant yields three products: lead, copper, and manganese. At the split-off point, the intermediate products cannot be sold without further processing. The lead from a typical batch sells for $50,000 after incurring additional processing costs of $15,350. The copper is sold for $94,000 after additional processing costs of $11,500, and the manganese yield sells for $65,000 but requires additional processing costs of $17,150. The joint costs of processing the raw ore, including the cost of mining, are $155,000 per batch.Required:Use the estimated net realizable value method to allocate the joint processing costs. (Do not round intermediate calculations.) Lead Copper Manganese Approximate sales value at split-off Percent of total sales values at split-off % % %Cost allocation A turtle resides in the ocean water and on land. When underwater, the turtle reaches a depth of 3,000 feet below sea level. When on land, the turtles are at sea level. Select the inequality that shows the relationship between the depth the turtle swims and reaches when on land. 1)2 units to the left of 3 is the ____ object allows you to change to a new web page from within javascript code. collections of bacteria that adhere to the surfaces of the teeth are called the issue of____is reflected in the correlation between the number of sunny days in the year and the gains in the new york stock exchange a) practical significance; b) artifact correlations; c) error; d) covariance; e) statistical significance Which one of the following states that energy can be transformed in different ways but can never be created or destroyed?A. Charles's LawB. Second law of thermodynamicsC. EntropyD. First law of thermodynamics The first step in responding to any sports injury is to A. remove the danger that lead to the injury B.ensure that the player's air way is not obstructed C. begin chest compressions for CPR D. ask the player to stop playing the sport you isolate a piece of dna from a microorganism you cultivated from your teeth. the piece of dna is 94 kbp in size and is circular. you sequence it and discover that it contains genes for capsule formation, pili, and antibiotic resistance, as well as an origin of replication. what is this piece of dna and how is it related to the other genetic elements found in prokaryotic cells? a typical pair of off-the-shelf reading glasses has 2.0 d lenses. what is the focal length of these lenses? What is the meaning of the title of this illustration? Given WXYZ, what is the measure of Z?O A. 90O B. 1450O c. 235O D. 100O E. 55O F. 35 Under what circumstances, according to Emerson, does "mean egotism" vanish? For each of the bookcases a woodworker is building, shecharges $65 for materials. She also charges $35 for eachhour she works to build the bookcases. How much doesthe woodworker charge for working 100 hours to build 18bookcases?A$4,735B$3,565C$3,583D $4,670 help please someonee Two teams working together can finish a job in 8 days. if the first team works alone for two days and the second team works alone for 5 days, 5/8 of the total work still remains. How many days will it take each team to finish the work alone? In the drawing below, what choice shows the corresponding sides as equal ratios? Can I please get help? I'm not really good with density and stuff and find it confusing. The manager of a grocery store took a random sample of 100 customers. The avg. length of time it took the customers in the sample to check out was 3.1 minutes with a std. deviation of 0.5 minutes. We want to test to determine whether or not the mean waiting time of all customers is significantly > 3 min. At 95% confidence, it can be concluded that the mean of the population is a. significantly greater than 3.18 b. not significantly greater than 3 c. significantly greater than 3 d. significantly less than 3 a(n) _____ is an artificial intelligence application that can be used for web marketing.