The length of a rectangle is 4 centimeters less than its width. What are the dimensions of the rectangle if its area is 192 square centimeters?

The Length Of A Rectangle Is 4 Centimeters Less Than Its Width. What Are The Dimensions Of The Rectangle

Answers

Answer 1

Answer:

Width = 16 cm

Length = 12 cm

Step-by-step explanation:

Let the width of the rectangle be represented as x

Width = x cm

Length = (x - 4) cm

Area = L*W = 192 cm²

Thus:

x * (x - 4) = 192

x² - 4x = 192

x² - 4x - 192 = 0

Factorize

x² - 16x + 12x - 192

x(x - 16) +12(x - 16)

(x - 16)(x + 12)

x = 16 or x = -12

Width cannot be a negative number, therefore, the width of the rectangle = x = 16 cm

Width = x = 16 cm

Length = (x - 4) cm = (16 - 4) = 12 cm


Related Questions

1
_ x 5 Please explain


4

Answers

Answer:

Step-by-step explanation:

25

Question 3 Matt has yard of fishing line. He uses of the line to make fishing knots. How many yards of fishing line does Matt use to make fishing knots? Show your work Solution

Answers

Answer:

aSDFGHJLLMNNBBBBVCDDG

Step-by-step explanation:

How many cannonballs are there in the eighth figure

Answers

Answer:

36

Step-by-step explanation:

Samantha wants to move into an apartment when she begins school in the fall. Right now she
has a job where she makes $250 a week working 20 hours and will be able to keep this job once
she begins school. Her parents have decided to put $500 a month in for extras that she might
need once she begins school. Although Samantha is very excited about moving into an
apartment, she wants your advice on where to begin preparing for her move. She wants to put
together a budget but has no idea where to begin.
Explain to Samantha how to set up her budget.
a
b. Once Samantha has a budget, what should she consider when determining if moving
out when she is beginning school is a good idea or not. Give specific reasons why this
might be a good or bad idea.

Answers

Answer:

she should set up a budget on how much she makes

Step-by-step explanation:

I love turtles and animals

This is Adele’s solution for the equation.
x² - 8x – 33 = 0
Step 1: x² - 8x = 33
Step 2: x² - 8x + 16 = 33 + 16
Step 3: (x – 4)² = 49
Step 4: x – 4 = 49 OR x – 4 = - 49
Step 5: x = 53 OR x = - 45
Where did Adele make her mistake? What are the solutions to this equation? Show all of your work.

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: She messed up in Step 1

She first should of tried to factor it first. There she can see that 3 and -11 work together in order to get (x+3)(x-11)

x= -3 and x=11

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Step-by-step explanation:

Here is the equation in factor form;

x²-8x-33=0

( x-11) ( x + 3)=0

x-11=0

x +3= 0

x=11

x= -3

ans= She messed up in step 1.

A football player ran for 11 yards. how many inches did the football player run?

Answers

Answer: 396 inches

Step-by-step explanation:

Let's remember that for every yard there are 36 inches

there are 11 yards total

so we need to multiply 36 by 11

36x11

396 inches

Answer:

396 inches

Step-by-step explanation:

You multiply the number of inches for every yard (36) by the total number of yards

11*36=396

Isabelle was curious if sample maximum was an unbiased estimator of population maximum. She started
with a large normally distributed population of test scores whose maximum was 99 points.
She then took a random sample of 6 tests and calculated the maximum of the sample. She replaced those
tests and repeated this process for a total of 40 trials. Her results are summarized in the dotplot below,
where each dot represents the maximum score from a sample of 6 tests.
HHH
HU
75
80
85
90
95
100
Sample maximum

Answers

Answer: sample maximum appears to be biased estimator since it consistently underestimated the population maximum

Answer: Sample maximum appears to be biased estimator since it consistently underestimated the population maximum.

Step-by-step explanation:

This is due today please help me

Answers

Answer:

Not similar

Step-by-step explanation:

Answer:

SAS

Step-by-step explanation:

Eliminate the choices.

Not SSS, as you are only given 2 out of 3 side lengths, and you need an angle measure to find the third length

Not AA, since we cant be sure

But seeing as there is one angle that corresponds for both triangles and are in-between two sides, it would be SAS (its not good to pressume, but thats all you can do )

There are 64 pencils in a pack. Mr. Math is the only teacher to give out pencils on day one and
he gave out 33 pencils. The math department wanted to decide how many total pencils there
are left in the school. Using p for the number of cases of pencils and t(p) for total number of
pencils, write an equation to determine the total number of pencils?

Answers

Answer:

Step-by-step explanation:

0 1  

 3 3 ⟌ 6 4  

     - 0    

       6 4  

     - 3 3  

       3 1  

I really don't know how to solve this because when you plot points there's usually only 2 points to plot not 3.

Answers

Answer is: 16.58
Photo below
Good luck

Segment JL has endpoints J(-3, -4) and L(7, 6). What are the coordinate of point K, so that point K is on line segment JL and JK = 3/5 JL. Explain.​

Answers

Answer:

K(3,2).

Step-by-step explanation:

We want to find a point K(x,y).

JK = 3/5 JL.

This means that:

[tex]K - J = \frac{3(L - J)}{5}[/tex]

We use this to find both the x-coordinate and the y-coordinate of K.

x-coordinate:

x-coordinate of J: -3

x-coordinate of L: 7

[tex]K - J = \frac{3(L - J)}{5}[/tex]

[tex]x - (-3) = \frac{3(7 - (-3))}{5}[/tex]

[tex]x + 3 = 6[/tex]

[tex]x = 3[/tex]

y-coordinate:

y-coordinate of J: -4

y-coordinate of L: 6

[tex]K - J = \frac{3(L - J)}{5}[/tex]

[tex]y - (-4) = \frac{3(6 - (-4))}{5}[/tex]

[tex]y + 4 = 6[/tex]

[tex]y = 2[/tex]

The point is K(3,2).

I need help please help

Answers

Answer:

A

Step-by-step explanation:

use the formula A=pi*r^2 to find the answer

Answer:

34.54 ft2

Step-by-step explanation:

You could figure it out by simply it

giving the brainliest answer to who can ever help me out!!! AND has the correct answer need help asap!

Answers

Answer:

B

Step-by-step explanation:

your answer should be B because isosceles triangles always have 2 equal sides :))

What is the area, in square inches, of the trapezoid below?

Answers

Answer:

area = 96.22 in²

Step-by-step explanation:

area of rectangle = 6.8 x 5.7 = 38.76

area of right side triangle = 1/2(8.4)(6.8) = 28.56

area of left side triangle = 1/2(8.5)(6.8) = 28.9

38.76 + 28.56 + 28.9 = 96.22

Lenny took three of his textbooks home one night. He wanted to find how much his backpack weighed.

Which of these units is MOST appropriate for measuring the weight of Lenny’s backpack?

Answers

Answer:

Pounds.

Step-by-step explanation:

Who in the holy dimension is gonna measure the weight of a bag in ounces and grams? Tons are just not even close to... Do you know how much a ton is? OHMY.

1 GRAM = 0.00220462 Pound

1 OUNCE = 0.0625 Pound

1 POUND = 16 Ounces

1 TON = 2000 Pounds

You wana carry a 2000 pound bag? I dont think so.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

GL :)

Please help meee im being timed on thisss

Answers

Answer:

y=0.25x

We can think of k as an unknown number.

8×_=2.00

12×_=3.00

20×_=5.00

If we divide 2 with 8 we are left with 0.25.

It's the same for the other numbers so we know the constant is 0.25.

When we use the formula y=0.25x with the numbers above, it is correct.

8×0.25=2.00

12×0.25=3.00

20×0.25=5.00

8 x 4 using distributive property with addition

Answers

Answer:

The answer is 32

That's easy

ill mark brainlist plss help

Answers

The answer is 222ft.

What is the product of 3.28 and 2.9

Answers

Answer:

9.512‬

Step-by-step explanation:

Multiplication = Product

9.512 product = multiply

The credit scores of 35-year-olds applying for a mortgage at Ulysses Mortgage Associates are normally distributed with a mean of 600 and a standard deviation of 125. (a) Find the credit score that defines the upper 20 percent. (Use Excel or Appendix C to calculate the z-value. Round your final answer to 2 decimal places.) Credit score (b) Eighty-five percent of the customers will have a credit score higher than what value

Answers

Answer:

a) The credit score that defines the upper 20% is 705.

b) Eighty-five percent of the customers will have a credit score higher than 470.38.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mean of 600 and a standard deviation of 125.

This means that [tex]\mu = 600, \sigma = 125[/tex]

(a) Find the credit score that defines the upper 20 percent.

This is the 100 - 20 = 80th percetile, which is X when Z has a pvalue of 0.8. So X when Z = 0.84.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.84 = \frac{X - 600}{125}[/tex]

[tex]X - 600 = 0.84*125[/tex]

[tex]X = 705[/tex]

The credit score that defines the upper 20% is 705.

(b) Eighty-five percent of the customers will have a credit score higher than what value?

This is the 100 - 85 = 15th percentile, which is X when Z has a pvalue of 0.15. So X when Z = -1.037.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.037 = \frac{X - 600}{125}[/tex]

[tex]X - 600 = -1.037*125[/tex]

[tex]X = 470.38[/tex]

Eighty-five percent of the customers will have a credit score higher than 470.38.

Which statement is not true about the pattern shown?
2/3 4/6 8/12 16/24
A-Each fraction is greater than the previous fraction.
B-Each fraction is equal to the previous fraction in the pattern multiplied by
C-Each fraction is equivalent to 2/3
D-The next fraction in the pattern is 32/48

Answers

Answer:

The answer is A-Each fraction is greater than the previous fraction.

Step-by-step explanation:

To prove that A is wrong, first simply all fractions.

2/3 is already simplified.

4/6 can reduce to 2/3, which already proves that A is wrong.

So, because 2/3 and 4/6 are equal fractions, and A says that each fraction is greater than the previous one, A is wrong.

Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or
negative correlation, describe its meaning in the situation

Answers

Answer:

umm im not really sure about that

i need help ////////

Answers

Answer:

[tex]1\frac{1}{2}[/tex] miles = 7920 feet

2[tex]\frac{1}{2}[/tex] miles = 13200 feet

3[tex]\frac{1}{2}[/tex] miles = 18480 feet

4[tex]\frac{1}{2}[/tex] miles = 23760 feet

5[tex]\frac{1}{2}[/tex] miles = 29040 feet

6[tex]\frac{1}{2}[/tex] miles = 34320 feet

Explanation:

1 mile = 5280 feet

[tex]\frac{1}{2}[/tex] miles = 2640 feet

to convert miles into feet, multiply the whole numbers by 5280 and add 2640 to find your overall feet

2[tex]\frac{1}{2}[/tex] : 2 x 5280 + 2640 = 13200 ft

3[tex]\frac{1}{2}[/tex] : 3 x 5280 + 2640 = 18480 ft

4[tex]\frac{1}{2}[/tex] : 4 x 5280 + 2640 = 23760 ft

5[tex]\frac{1}{2}[/tex] : 5 x 5280 + 2640 = 29040 ft

6[tex]\frac{1}{2}[/tex] : 6 x 5280 + 2640 = 34320 ft

I need help on this 1+s=3

Answers

Answer:

s = 2

Step-by-step explanation:

3 - 1 = 2

1 + 2 = 3

Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

Write this equation in standard form y=3x+10

Answers

Answer:

to standard form

3x-y = -10

Please simplify the following trigonometric identity.

[tex]\displaystyle\frac{1}{\sec\alpha-\tan\alpha}[/tex]

Answers

Examining the question:

We are given the expression:

[tex]\frac{1}{Sec(\alpha)-Tan(\alpha)}[/tex]

We know from Basic trigonometry that:

[tex]Sec(\alpha) = \frac{1}{Cos(\alpha)}[/tex]

[tex]Tan(\alpha) = \frac{Sin(\alpha)}{Cos(\alpha)}[/tex]

Simplifying the expression:

Replacing these values in the given expression, we get:

[tex]\frac{1}{\frac{1}{Cos(\alpha)} -\frac{Sin(\alpha)}{Cos(\alpha)} }[/tex]

Since the denominator of both the values in the denominator is the same:

[tex]\frac{1}{\frac{1-Sin(\alpha)}{Cos(\alpha)} }[/tex]

We know that [tex]\frac{1}{\frac{a}{b} }[/tex] = [tex]\frac{b}{a}[/tex], using the same property:

[tex]\frac{Cos(\alpha)}{1-Sin(\alpha)}[/tex]

and we are done!

Answer:

cos a

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

1  -sin (a)

Step-by-step explanation:

We know that sec a = 1/ cos (a)  and tan a = sin (a) / cos (a)

1

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

1/ cos (a)  -sin (a) / cos (a)

Multiply the top and bottom by cos (a)

1* cos a

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

( 1/ cos (a)  -sin (a) / cos (a)) * cos a

cos a

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

1  -sin (a)

Please help me I don’t understand

Answers

3x + 7x+10 = 10x+10
10x+10=180
x=17

Pineapple Corporation (PC) maintains that their cans have always contained an average of 12 ounces of fruit. The production group believes that the mean weight has changed. They take a sample of 15 cans and find a sample mean of 12.05 ounces and a sample standard deviation of .08 ounces. What conclusion can we make from the appropriate hypothesis test at the .01 level of significance

Answers

Answer:

We accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.

Step-by-step explanation:

Pineapple Corporation (PC) maintains that their cans have always contained an average of 12 ounces of fruit.

This means that the null hypothesis is: [tex]H_0: \mu = 12[/tex]

The production group believes that the mean weight has changed.

This means that the alternate hypothesis is:

[tex]H_a: \mu \neq 12[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

12 is tested at the null hypothesis:

This means that [tex]\mu = 12[/tex]

They take a sample of 15 cans and find a sample mean of 12.05 ounces and a sample standard deviation of .08 ounces.

This means, respectibely, that [tex]n = 15, X = 12.05, \sigma = 0.08[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{12.05 - 12}{\frac{0.08}{\sqrt{15}}}[/tex]

[tex]z = 2.42[/tex]

Pvalue of the test:

We are testing if the mean is different from a value, which means that the pvalue is 2 multiplied by 1 subtracted by the pvalue of z = 2.42.

Looking at the z-table, z = 2.42 has a pvalue of 0.9922

1 - 0.9922 = 0.0078

2*0.0078 = 0.0156

What conclusion can we make from the appropriate hypothesis test at the .01 level of significance?

0.0156 > 0.01. This means that at the 0.01 level, we accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.

Mason makes $20 for each time he mows. Which equation represents the money he makes, d, in dollars that mason makes after he mows n lawns?
A) d=20n
B) n=20d
C) d=20+n
D) n=20+d
Please help ASAP thank you

Answers

it’s A) d=20n
since you get $20 per lawn that he mows

In a hardware store I bought 5 screws costing
20 ¢ each and 3 light bulbs costing $3.99 each
If I paid with two $10.00 notes, how much
change did I receive?​

Answers

Answer:

7.02

Step-by-step explanation:

20 ¢ x 5 = 1.00

3 x 3.99 = 11.97

11.97 + 1.00 = 12.97

20.00 - 12.97 = 7.02

Other Questions
Can someone solve this for me ?? I don't understand :(( Please help I need it for tomorrow. I WILL GIVE THE BRAINLEST AND POINTS (24^0)+(4^0). solve this problem fast What did Karl Marx believe would eventually transform society?A:the spread of democracyB:a revolution of the working classC:the works of strong leadersDa return to agrarian life Write an equation for the polynornial graphed belowy(x) = HELP PLEASE ANSWER WILL GET BRAINLIESTCivics.. HELP I NEED HELP ASAPHELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAPWhich of these methods of energy resource has the LEAST affect on the lithosphere?A. Surface mining for uraniumB. Pumping oil from under waterC. Harvesting wood by cuttingD. Collecting natural gas from old oil goods Use a scientific calculator to calculate [H+] for the following pH values:7 (a neutral solution)5.6 (unpolluted rainwater)3.7 (first acid rain sample in North America)How many times higher is the concentration of H+ in the Hubbard Brook sample than in unpolluted rainwater? Answer if you are 100% sure you are right. The function f(x) = 34,000(1.05)* can be used todetermine Noah's cost of living in Houston over time.What does the 1.05 represent?A The cost of living will increase by approximately 1% each yearB The cost of living will decrease by approximately 1% each yearC The cost of living will increase by approximately 5% each yearD The cost of living will decrease by approximately 5% each year -3y - 7.8 = 9.6 solve these equation 50 POINTS + BRAINLIEST PLEASE DONT STEAL POINTS Paradise Corporation budgets on an annual basis for its fiscal year. The following beginning and ending inventory levels (in units) are planned for next year.Beginning Inventory Ending InventoryRaw material* 41,000 51,000Finished goods 81,000 51,000* Three pounds of raw material are needed to produce each unit of finished product.If Paradise Corporation plans to sell 485,000 units during next year, the number of units it would have to manufacture during the year would be: 11. Josie feels that she will never be good atmath. Her teacher tells her that completinghomework will help her practice using theequations. Josie explains she is a right-mindedthinker and will never be good at math, Is Josiecorrect? Why or why not? Walmart pays $2.50 for a 30 pack of individual chips. They markup the chips by 319%? How much is the 30 pack of chips at Walmart? Include a unit/label with your answer. ROUND TO THE NEAREST CENT. * Anthony begins her speech using the Preamble to the U.S. Constitution asa. visible evidenceb. irrefutable factc. a tool to anger the audienced. none of the above What is Heat? What is Cold? I. You withdraw $17 from your account.II. A running back loses 17 yards in a game.III. The temperature rises 17 degreesThe integer -17 would BEST represent which of these events?A)I onlyB)III onlyC)I and II onlyD)II and III only 60 points 90 % of my grade What was the goal of the Ku Klux Klan during Reconstruction?Areestablishing white supremacy throughout the SouthBremoving the Democrats from power in Southern politicshelping the federal government maintain law and order in the SouthDconvincing federal leaders to allow Southern states to rejoin the Union So I wrote a poem.. Am I floating?Or drowning?I feel myself drifting awayFlashbacks appear in my mindI try to fight them awayTheir grip is too tightI lose myself againAs I remember the windowrain drops, dripping downI stare out towards the treesAs you drove with angerThe tears I could not controlThey moved so freelyAt the hospital we arrivedYou forced me insideAs your voice repeats in my headAs an endless cycleI know I messed upBut nobody seesI kept this wallI stood up tallDid you know I was breaking?Falling apart?I promise I am not fakingPlease do not be madIt just gets so hardWhen everything is so dark-hannah What did you think?