A rectangle has a length that is 9 inches less than twice its width. The area of the rectangle is 180 square inches.
a. Write an equation that represents the situation.
b. Find the length and width of the rectangle.
c. Find the perimeter of the rectangle.
pls help lols

Answers

Answer 1

Answer:

Step-by-step explanation:

a) Let the width = w

Two times its width = 2*w = 2w

9 inches less than 2w = 2w - 9

Length = 2w - 9

Area of rectangle = length *width = 180 square inches

(2w - 9 ) * w = 180

2w*w - 9*w = 180

2w² - 9w - 180 = 0

b) sum = -9

Product= -360

Factors  = -24 , 15    {15 *[-24] = -360 and 15 + (-24) = -9 }

2w² - 9w - 180 = 0

2w² - 24w + 15w - 180 = 0

2w(w - 12w) + 15(w - 12) = 0

(w -12) (2w + 15) = 0

{Ignore 2w + 15 = 0 as measurements cannot be a -ve value}

w - 12 = 0

w = 12 inches

l = 2w -9

 = 2*12 - 9

= 24 - 9

l = 15

length = 15 inches

Width = 12 inches

c) Perimeter = 2 *(length + width)

                     = 2*(15 + 12)

                     = 2 * 27

                     = 54  inches


Related Questions

38. Calculate the value of c in the triangle below.

Answers

Answer:

15

Step-by-step explanation:

a^2 + b^2 = c^2

9^2 + 12^2 = 225

[tex] \sqrt{225} = 15[/tex]

Hope this helps!!

Answer: 15
Step by step:

Sorry If its hard to read but it's worth a lot of points!

A portion of the Quadratic Formula proof is shown. Fill in the missing statement.

Statements Reasons
x squared plus b over a times x plus the quantity b over 2 times a squared equals negative 4 times a times c all over 4 times a squared plus b squared over 4 a squared Find a common denominator on the right side of the equation x squared plus b over a times x plus the quantity b over 2 times a squared equals b squared minus 4 times a times c all over 4 times a squared | Add the fractions together on the right side of the equation the quantity x plus b over 2 times a squared equals b squared minus 4 times a times c all over 4 times a squared | Rewrite the perfect square trinomial on the left side of the equation as a binomial squared ? Take the square root of both sides of the equation

Answers

Answer:

Take the square root of each side

D (x+b/2a)  =±sqrt( (b^2-4ac)/ 4a^2)

Step-by-step explanation:

We have

(x+b/2a) ^2 = (b^2-4ac)/ 4a^2

We need to take the square root of each side to continue to isolate x

(x+b/2a)  =±sqrt( (b^2-4ac)/ 4a^2)

I hope thats right

Which side lengths represent the sides of a right triangle?
A) 1, 1, 2
B) 2,35
C)3,4,5
D) 5, 11, 13 10​

Answers

So your answer will be b

Answer:

Hello There!

Step-by-step explanation:

Your answer will be B.

(47^2 - 46^2) / (17^2 - 14^2)

Answers

Answer:

1

Step-by-step explanation:

47^2=2209

46^2=2116

2209-2116=93

17^2=289

14^2=196

289-196=93

93÷93=1

Have a good day

Answer:

1

Step-by-step explanation:

Hello!

We can solve this by using the Difference of Squares formula:

(a + b)(a - b) = a² - b²

47² - 46², the numerator, is very similar to a² - b², so we can extract 47 as a, and 46 as b.

Rewrite the numerator:

47² - 46²(47 + 46)(47 - 46)(93)(1)93

We can use the same formula for the denominator the same way:

17² - 14²(17 + 14)(17 - 14)(31)(3)93

Rewrite the fraction and simplify:

[tex]\frac{93}{93}[/tex][tex]\frac11[/tex]1

The answer is 1.

Anybody know the answer???

Answers

mean: 1.75
median: 9
mode: 11

two car rental companies are running special this month at driveway rentals customers can pay to $30 rental free for a sedan and 15 for each day rental y = 15x + 30 at Harry's rental a car customer can pay a 40 rental free for a studding and $10 for each day of rental the cost for the two car rentals are shown on the graph below how many days must a car be pretend for the cost of both car rentals to be the same A4 B6 C2 D8​

Answers

I think A is the answer

29.Consider the diagram below. Solve for x.

Answers

Answer:

104

Step-by-step explanation:

104 is parallel to x meaning it would stay as 104 (this is what my school tought me sorry if its incorrect)

the answer is 79


I hope this helps :)))

Here is a quadrilateral inscribed in a circle. Jada says that it is square because folding it along the horizontal dashed line and then the vertical dashed line gives 4 congruent sides. Do you agree with Jada? Explain why or why not.

Answers

Answer:

yes

Step-by-step explanation:

because all the side are congruent, and there are four right angles that can be seen in the image!

Brainlyest for the person who answers both and is right

Answers

123 x 10 to the -6 power
123 times X to the power of -6
Hope this helps

54. Consider the following trapezoid.
Find the value of a, b, c, and d.

Answers

Answer:

a=4cm

b=3cm

x=5cm

Answer:
a=4cm
b=3cm
c=5cm

The surface area of the prism is ______ square units. All measurements in the image below are in units. (Input whole number only.)

A triangular prism is shown with 2 right triangular sides having legs 4 and 3 and hypotenuse 5. The length of the prism is 5.5

Numerical Answers Expected!

Answers

Answer:

its 72.50

Step-by-step explanation:

A conveyor belt dumps gravel into conical piles. Kevin measured the height of one pile of gravel. It was 10 1/2
feet tall. The volume of the pile was 77 cubic feet. Find the diameter of the pile of gravel. Round the answer to the nearest hundredth.

Answers

Answer:

189

Step-by-step explanation:

Please help!!!! At a gymnastics meet, a gymnast scored an 8.95 on the vault and a 9.2 on uneven bars. Write two equivalent expressions that could be used to find her total score. NO LINKSSSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

8.95 + 9.2 = 18.15

9.2 + 8.95 = 18.15

Step-by-step explanation:

8.95 + 9.2 = 18.15

9.2 + 8.95 = 18.15

please help with these questions please

Answers

Answer:

7. adjacent

8.127°

Step-by-step explanation:

adjacent angles on a straight line add up to 180°

180-53=127°

Answer:

they are supplementary

x = 127

Step-by-step explanation:

supplementary angles equal 180 degrees so you would do: 180 - 53 to find x

Which of these is an irrational number?

A. 0.54 (54 keeps going)

B. 5/8

C. √17

D. √25

Answers

Answer:

C

Step-by-step explanation:

every non-perfect square is irrational

Answer: I think it is √17

Step-by-step explanation:

Because an irrational number is a number that cannot be represented in the simple form of a fraction. ... therefore √17 is an irrational number.

In the figure at the right, what is m∠1 if m∠3 = 70°?
plz help i beg i will give brailist and 20 points

Answers

Answer:

m∠1 = 70°

Step-by-step explanation:

m∠1 and m∠3 are vertical angles; vertical angles are congruent (equal).

m∠1 = m∠3.

Vertically opposite angles are always equal.
Which means :
Angle 1 = Angle 3
Thus, the measure of angle 3 = 70°
▪︎Therefore, the correct option is 70

Which choice is equal to 2.5

Answers

Answer: B)2 1/2

Explanation: just searched it up as 2 1/2 as a decimal and it gave me the answer

The Lunchroom Murder
On an otherwise uneventful Thursday afternoon police heard a shot inside the local bistro, Ernie’s Lunchroom. They rushed in and found the scene shown in Figure 1.4.
They identified the body as that of a prominent racketeer named Fannin. Ernie, who is both the owner and only employee, had only one fact to tell: the murderer had leaned against the wall while firing at point-blank range. The imprint of his hand is in clear view.

The police have also noticed that the cash register had just been rung up at $8.75.
This is a difficult case. Your investigative team must attempt to determine which of the people in the lunchroom killed Fannin. You will have to observe the details carefully. There is enough evidence to help you explain most of what happened.

QUESTION: Which set of footprints are Ernie’s? What is the evidence?

Answers

Answer:

1 and 3

Step-by-step explanation:

What is the solution set for -4x-10 ≤ 2?

Answers

Answer:

x≥−3

Step-by-step explanation:

Let's solve your inequality step-by-step.

−4x−10≤2

Step 1: Add 10 to both sides.

−4x−10+10≤2+10

−4x≤12

Step 2: Divide both sides by -4.

−4x /−4 ≤ 12 /−4

= x≥−3

brainliest please?

Answer:

x ≥ -3

Step-by-step explanation:

you add 10 on both sides

-4x - 10 ≤ 2

      +10  +10

=   -4x ≤ 12

then you divide -4 on both sides to get the x by itself

12/-4 is -3

since you divided by a negative you flip the sign

PLS HELP ME OR ILL ME PLS :_:::::

Answers

Its 30, i multiplied 6x5 and got 30 so im sure its the answer
the answer is probably 30

A rectangular prism has a volume of 912 cubic meters. It has a length of 19 meters and a width of 12 meters. Which equation could be solved to find the height of the rectangular prism?











A)114h = 912


B)228h = 912


C)15.5h = 912


D)31h = 912

Answers

Answer:

B. is the correct answer.

Thank you.

Step-by-step explanation:

B is the best answer to go with

Determine which graph has the line of best fit drawn and explain why.

Answers

Answer:

graph c

Step-by-step explanation:

because it is a more perfect line through the dots then the others, thats how you can always tell

Shiloh is doing a survey to find the time her classmates spend at the beach. She asks the following question:

Which student spends the most time at the beach?

Part A: Describe the data you would expect her to collect from this question.

Part B: Explain whether this is a statistical question. If this is not a statistical question, then modify the question to make it statistical.

Answers

Answer: it is a statistical question

Step-by-step explanation:

Answer:

read the explanation.

Step-by-step explanation:

Part A:

I would expect her to collect a certain number of times, such as: each dot = 1 hour. For example, if she had a dot plot or a chart to divide how much time each student stays at the beach (if that is understandable), along with her collecting the students' names to figure out the answer to her question.

Part B:

This is definitely a statistical question.

A statistical question is a question that can be solved by collecting data that varies.

so this can definitely be solved by collecting data. To even solve this, you need to collect data. The easiest way to solve this is with a dot plot. In my opinion, you also need to gather the students data, such as their names and how many (for example) hours at the beach they spent time there.

A box of popcorn is 3 inches wide, 4 inches long, and 6 inches high. The box is half empty. What is the volume of popcorn left in the box?

Answers

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Jeffrey is reading a book by his favorite author. He expects to read 40% to 55% of the book in one week. The book has a total of 450 pages. Which could be the number of pages he expects to read in one week?

A 170
B 175
C 220
D 250

Answers

D I think because 450 divided by 2 is 245, if I am right can you mark brainliest
C buddy for sure! Nark me if you can thnx

35. Which side of the triangle in the diagram is the hypotenuse?
A. X
B. Z
C. C

Answers

Answer:

the answer in the image is Y

the answer is y

this is because it is the longest side and it does not have a right angle

There are 12 students in the gym class. If 4 students can sit on 1 bench, how
many benches are needed for all the students?

(NO LINKS OR FILES!)

Answers

Answer : 3
Explanation: if 4 people can sit in 1 bench, 8 people can sit in 2 and 12 people can sit in 3, so your answer will be 3

What doesr2mean?
Group of answer choices

r×r

2r

r2

Answers

Answer:

r2 means r x r

Step-by-step explanation:

2 is an exponent, meaning that the number (what r is) will multiply twice, meaning r x r.

For example, if r was 4, then you would multiply 4 x 4, which is 16 and not 4 x 2, which is 8.

Many make this mistake, which can cause big trouble. As you saw in the example above, products are not the same.

Hope this helps! :)

Is Brainliest an option?

...

it means rxr, r times r is just doubling r

GIVING BRAINLIEST ONLY IF CORRECT

Answers

Step-by-step explanation:

[tex]0.4 \div 0.2 = 2 \\✓ = option \: 3[/tex]

Answer:

The model that correctly shows the problem 0.4 divided by 0.2 is option 3.

Step-by-step explanation:

Option 3 has 4 out of 10 rowS shaded in, which you can infer immediately is the correct answer. Since 10 rows represent 1 whole, that means that 4 rows shaded in are 0.4. In option 3, the four rows are split by blue lines and have 2 rows, or 0.2, in each group, so option 3 matches the problem 0.4 divided by 0.2.

Select the correct answer from each drop-down menu.

For this data set, the best measure of center is the
, and its value is
.

Answers

The best measure of center is median
It’s value is 60
The best measure of the center is “median” this means middle number. The answer is 60.

Tip:
To find the median number organize the numbers from least to greatest, like this:

40 40 55 55 55 60 60 65 65 70 70 70

Now just cross the numbers in this order: right to left like this:

40 55 55 55 60 60 65 65 70 70

This way you should find the middle number. If you end up with two numbers as the middle you need to add them and divide by 2 to find the average of the two numbers.

Hope this helps!!
Other Questions
The population density of a city is 1,148 persons per square mile.If 40,173 people live in the city, what is the approximate land area of the city?.6 square milesB.35 square milesC.70 square milesD.1,225 square miles ead the statement.For an organism, a section of the DNA code reads CAATCT. Over time, two species form from this population. Species 1 has a mutation in this region; it has CTATCT. Species 2 has another mutation; it has CAATAT.Scientists discover a new organism, species 3. The new organism has the code CTATCG for the same section.Which option is most likely true for species 3?Select one:Species 3 is not likely to be related to species 1, species 2, or their common ancestor.Species 3 has most likely evolved from the same common ancestor as species 1 and species 2.Species 3 has most likely evolved from species 1.Species 3 has most likely evolved from species 2.thanks for the help if you were a news editor, how might you slant coverage agaisnt a war your country is fighting? What is the equation of the trend line in the scatter plot?Use the two yellow points to write the equation in slope-intercept form. Write any coefficients as integers, proper fractions, or improper fractions in simplest form. Find the median of this data set: 4, 9, 1, 3, 7, 1 the answer is 5286 i think hope this helps A chart showing the type of reproduction that occurs in several organisms is shown below. Organism Type of Reproduction Bacteria Asexual Salmon Sexual Oak Trees Both Bears Sexual Asexual Flatworms Based on the information on the chart, which organisms are able to produce genetically diverse offspring? A Bacteria, oak trees, and flatworms B Salmon, oak trees, and bears C Salmon and bears only D Bacteria and flatworms only One of the legs of a right triangle measures 8 cm and the other leg measures 12 cm.Find the measure of the hypotenuse. If necessary, round to the nearest tenth. What number must be added to -9 to equal +4? b) Qu beneficios tienen los programas de vacunacin sistemtica de una poblacin? Que objetivos persiguen?Justifica la respuesta What kind of intermolecular forces between an ammonia molecule and a water molecule? Note: there is more than one type of intermolecular force that acts, be sure to list them all, with a comma between the name of each force A circle has an area of 144n cm^2 Find the circumference Complete the sentence by writing the subjective form of the verb in parentheses.Yo quiero que t _____ (salir) ahora. Write a program that lets the user perform arithmetic operations on fractions. Fractions are of the form a/b, in which a and b are integers and b is not equal to 0. Your program must be menu driven, allowing the user to select the operation ( , -, *, or /) and input the numerator and the denominator of each fraction. Furthermore, your program must consist of at least the following functionmenu: This function informs the user about the program's purpose, explains how to enter data, how to quit and allows the user to select the operation.addFractions: This function takes as input four integers representing the numerators and denominators of two fractions, adds the fractions, and returns the numerator and denominator of the result.subtractFractions: This function takes as input four integers representing the numerators and denominators of two fractions, subtracts the fractions, and returns the numerator and denominator of the result.multiplyFractions: This function takes as input four integers representing the numerators and denominators of two fractions, multiplies the fractions, and returns the numerator and denominator of the result.divideFractions: This function takes as input four integers representing the numerators and denominators of two fractions, divides the fractions, and returns the numerator and denominator of the result.Here are some sample outputs of the program:3 / 4 +2 / 5 = 23 / 202 / 3 * 3 / 5 = 2 / 5 QUESTION 1720. Which of the following is not a protein involved in muscle function?CatttroponinmyosintropomyosinactinQUESTION 18 8-50. What is the area of a regular decagon if the length of each side is 20 units? Show all your work. Which job here requires the least amount of training and educationA. Elementary TeacherB. College professorC. CashierD. Accountant What is the volume of a cylinder that has the following measurements? area of each base: 50.24 ft2 area of lateral surface: 75.36 ft2 height of cylinder: 3 ft 128.6 ft 3 226.08 ft 3 150.72 ft 3 175.84 ft 3100 points bad answers will get banned and reported But freedom is not enough. You do not wipe away the scars of centuries by saying: Now you are free to go where you want, and do as you desire, and choose the leaders you please. You do not take a person who, for years, has been hobbled by chains and liberate him, bring him up to the starting line of a race and then say, you are free to compete with all the others, and still justly believe that you have been completely fair. Why is this a persuasive quote? What does miss Brill wear that she thinks is fabulous and looks attractive?