A cuboid with a volume of 924 cm' has dimensions
4 cm, (x + 1) cm and (x + 11) cm.
Show clearly that x2 + 12x – 220 = 0
Solve the equation by factorisation, making sure you show the factorisation.
State both values of x on the same line.
Finally, find the dimensions of the cuboid, writing all three on one line.

Answers

Answer 1

Answer:

4cm, 11cm, 21cm

Step-by-step explanation:

4(x + 1)(x + 11)

4(x ^ 2 + 12x + 44)

x ^ 2 + 12x + 11 = 231

x ^ 2 + 12x + 11 - 231 = 0

x ^ 2 + 12x - 220 = 0

(x - 10)(x + 22) = 0

x = 10 and x = - 22

4cm , 11cm , 21cm

Hope it helps you xx

Answer 2

Answer:

Dimensions = 4cm, 11cm and 21 cm.

Step-by-step explanation:

x2 + 12x - 220 = 0

x2 + 22x - 10x - 220

= x(x+22) -10(x+22)

=(x+22)(x-10)

x + 22= 0

-22       -22

x = -22 (x cant be negative so this is wrong)

x-10 = 0

+10      +10

x = 10 (positive so its correct)

4 , (10+1), (10+11)

= 4, 11, 21 cm.


Related Questions

Find the range of the data. 26, 21, 27, 33, 24, 29

Answers

Answer:

33-21=9

Step-by-step explanation:

solve the equation of the 18y = 144 to find the value of y

Answers

Answer:

y=8 i think

Step-by-step explanation:

Answer: y=8

Step-by-step explanation: You divide 18y/18 to isolate y but what you do to one side you must do to the other do you divide 144/18 as well so get the answer of y=8

I hope this helps you or anybody!

Lodging is $75.00 per night. Find the cost of three nights and 7% sales tax.

Answers

Answer: $240.75

Step-by-step explanation:

Pllllllllllllllllllllllllllllssssssssssssssssssssssssssss

Answers

Answer:

50.24 units^2

Step-by-step explanation:

Area of circle formula: [tex]\pi[/tex]r^2

r = 4, [tex]\pi[/tex] = 3.14

3.14 * (4^2) = 3.14 * 16 = 50.24

Answer:

Step-by-step explanation:

3.14*4^2

3.14*16= 50.24

You are going on a road trip over a distance of 3000 miles with three friends. The car consumes 6 gallons of gas per 150 miles and gas costs $1.20 per gallon. If you want to split the cost of gas evenly between the four of you, how much should each of you pay? Please show step by step. Please HELP!! Answer soon. ​

Answers

Answer:

$54

Step-by-step explanation:

[3,000 / 100] x 6 = 180 - Liters of gas will be used on a 3,000 Km trip.

180 x 1.20 = 216 - total cost of gas over 3,000 Km trip.

216/4 = $54 - share of each one of the 4 people

PLEASE HELP! IM LIKE STUCK AND I NEED HELP! YOU'LL GET 50 POINTS !!!!

Answers

I got it hold up I will use my app

Answer:

5m + 9n + 46

Step-by-step explanation:

5m +10 +9n +36

(i did that by distributing from parenthesis)

5m + 9n + 46

(i just simplified by adding 10 and 36)

Solve for X if D = -9

3 + 6x · 5d = ?

Answers

Answer:

3-270x

Step-by-step explanation:

We run a terminating simulation 20 replications to estimate the average throughput of a manufacturing system. Suppose that the observed throughputs from these 20 replications are 4, 5, 7, 5, 8, 7, 5, 9, 10, 5, 6, 7, 2, 11, 6, 3, 2, 11, 10, 7. a. (0.1 point) What is the 99% t-confidence interval for the mean throughput

Answers

Answer:

[tex]CI =6.5 \± 1.09[/tex]

Step-by-step explanation:

Given

[tex]Data: 4, 5, 7, 5, 8, 7, 5, 9, 10, 5, 6, 7, 2, 11, 6, 3, 2, 11, 10, 7[/tex]

Required

Determine the 99% t-confidence interval

First, calculate the mean

[tex]\bar x =\frac{\sum x}{n}[/tex]

[tex]\bar x =\frac{4+ 5+ 7+ 5+ 8+ 7+ 5+ 9+10+ 5+ 6+ 7+ 2+ 11+ 6+ 3+ 2+ 11+ 10+ 7}{20}[/tex]

[tex]\bar x =\frac{130}{20}[/tex]

[tex]\bar x =6.5[/tex]

Calculate the standard deviation

[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)}{n}[/tex]

[tex]\sigma =\sqrt{\frac{(4-6.5)^2+ (5-6.5)^2+ ........+ (2-6.5)^2+ (11-6.5)^2+ (10-6.5)^2+ (7-6.5)^2}{20}}[/tex]

[tex]\sigma =\sqrt{\frac{143}{20}}[/tex]

[tex]\sigma =\sqrt{7.15}[/tex]

[tex]\sigma =2.67[/tex]

The z score for 99% confidence interval is:  2.576

The confidence interval  is calculated as:

[tex]CI =\bar x \± z * \frac{\sigma}{\sqrt n}[/tex]

[tex]CI =6.5 \± 2.576 * \frac{2.67}{\sqrt {40}}[/tex]

[tex]CI =6.5 \± 2.576 * \frac{2.67}{6.32}}[/tex]

[tex]CI =6.5 \± 1.09[/tex]

given that 16 ounces is 1 pound, how many ounces are in 12.4 pounds.
A. 192
b.198.4
c. 201.6
d. 208

Answers

198.4

Since there is 16 ounces in 1 pound you would do 12.4 x 16 which is equal to 198.4
Hope I helped

You had $25 to spend on eight avocados.
After buying them you had $9. How
much did each avocado cost?

Answers

Answer:

Each avocado costs $2

Step-by-step explanation:

subtract 9 from 25 and get 16

divide 8 by 16 and you have $2

True or False
You can only multiply exponents when the bases are the same.

Answers

Answer:

The answer is false

Answer:

False

Step-by-step explanation:

Help please!
The answer choices are -3.73, 1.58, 3.00, and 3.73

Answers

Answer:

I think its 2.73 not sure tho

Step-by-step explanation:

Answer:

I got 3.73 (I am sorry if I am wrong I haven't done it in a while but I hope this helps!)

Step-by-step explanation:

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer: clockwise 90 degrees

Step-by-step explanation:

Answer:

Clockwise 90º

Step-by-step explanation:

270º/90 = 3

This means to rotate the quadrilateral 3 times amongst the x and y axis.

Counterclockwise 90º x1 = y at (0,-3)

Cc90º x2 or cc180º = y at (3,0)

Cc90º x3 or cc270º = y at (0,3)

If you wanted to move clockwise to (0,3), you'd only have to move 90º

Counterclockwise 270º = Clockwise 90º

y=(x/8+w) solve for w

Answers

the answer is w=-x/8+y

please answer it's easy ​

Answers

Answer:

did not see that coming

Step-by-step explanation:

Got rickrolled

I just got Rick rolled

Work out
44.09
% of
78.76
cm

Answers

Answer:

34.72

Step-by-step explanation:

44.09/100 × 78.76

=34.72

Can someone help me with this right now? :(

Answers

Answer:

A- 6/x^2

Step-by-step explanation:

need help ASAP plssssssssssssssssss

3,945 ÷ 45 = (?)
R (?)

Answers

87.66666.... or 87.666667 unless your rounding then it’s just 88.

Put this numbers from least to greatest.

A: 3.2, 0.67, 9, 1.78, 0.651.

please please please please please PLEASE please please please please please please please please please please help me.​

Answers

Answer:

0.651, 0.67, 1.79, 3.2, and 9

Step-by-step explanation:

Answer:

0.651. ,0.67 ,1.78 ,3.2 ,9

Step-by-step explanation:

well if your confused on 0.651 and 0.67 i personally may go for the first two unless if the questions longer

A thermos held 2,500 milliliters of water. How many liters of water did it hold? A 250.0 liters B 25.0 liters C 0.25 liters D 2.5 liters

Answers

Answer:

2.5 liters

Step-by-step explanation:

Which ordered pair is on the x axis?

Answers

Answer:

0,0

Step-by-step explanation:

The mean grade in Mathematics of Grade 11 students from school A is 83 with standard deviation of 4, while the mean grade in Mathematics of Grade 11 students from school B is 87 with standard deviation of 5. Using 49 samples from school A and 64 from school B, what is the probability that the mean grade of students from school B exceeds the mean grade of students from school A by at least 3 but less than 5?

Answers

Using the context surrounding the word trough in line 9 of "Concrete Mixers," explain what a trough looks like and what it does on a concrete mixer. .

sorry I can't delete it this not answer your question

Hunh put $3000 into a savings account that earns 6% simple interest annually. After six years, how much money will Hunh have?

Answers

Answer:

4,080.00

Step-by-step explanation:

The total amount accrued, principal plus interest, from simple interest on a principal of $3,000.00 at a rate of 6% per year for 6 years is $4,080.00.

Bart owns a neighborhood Kwik-E-Mart. At the end of the day on Wednesday, he counted total receipts in his store of $8,399.70. If the sales tax on food items is 2%, how much merchandise did Bart sell on Wednesday? How much sales tax did he collect?

Answers

Wow. That’s a lot of earnings

what is the answer for 1/3x+y=4 and if you use big ideas math program and you got the right answer lemme know

Answers

Answer:

x=-3y+12

Step-by-step explanation:

Yes.

1) What kind of mindset do you have when it comes to Math?
Explain.
Please help i dont Know how to answer it

Answers

Answer:

A mindset is kind of like a mood. They are asking you what kind of mood or how you feel when it comes to math.

Step-by-step explanation:

Example |  Fixed Mindset: I'm jealous of other people's success. Growth Mindset: I am inspired by other people's success.

Huh?! Its me DaBaby less gooo i need your help with this question. Yeah Yeah!

Answers

Answer:

Omg  im a big fan anything for you the answer is d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

.

-
James ran mile on Monday. On
Tuesday, he ran 3 times as far. Which
equation can be used to determine x,
how far James ran on Tuesday?

Answers

Answer:

c

Step-by-step explanation:

gggehheueuru jshgsgsgsgsgsggsgs

help me plz.................

Answers

Answer:

[tex]\frac{1}{8}[/tex] cup

Step-by-step explanation:

[tex]y=\frac{7}{8} -\frac{1}{4}-\frac{1}{2}[/tex]

[tex]y=\frac{7}{8}-\frac{2}{8}-\frac{4}{8}[/tex]

[tex]y=\frac{7}{8}-\frac{6}{8}[/tex]

[tex]y=\frac{1}{8}[/tex]

Help Plis ...............

Answers

Answer:

it is positive 3/4

Step-by-step explanation:

it is the opposite of -3/4

Answer:

it would be a positive 3/4

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