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

look at pic 10 pts will mark brainilest

Answers

Answer:

D

Step-by-step explanation:

It's D because the number of books checked out each hour would have to depend on the amount of people in the library each hour.

It would be answer D

Based on the survey results, there is a probability that a randomly selected person will feel guilty about wasting food and a probability that a randomly selected person will feel guilty about leaving lights on when not in a room. Moreover, there is a probability that a randomly selected person will feel guilty for both of these reasons.

Required:
a. What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both (to 2 decimals)?
b. What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)?

Answers

This question is incomplete, the complete question is;

he Eco Pulse survey from the marketing communications firm Shelton Group asked individuals to indicate things they do that make them feel guilty (Los Angeles Times, August 15, 2012).

Based on the survey results, there is a 0.39 probability that a randomly selected person will feel guilty about wasting food and a 0.27 probability that a randomly selected person will feel guilty about leaving lights on when not in a room.

Moreover, there is a 0.12 probability that a randomly selected person will feel guilty for both of these reasons.

Required:

a. What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both (to 2 decimals)?

b. What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)?

Answer:

a)

the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both is 0.54

b)

the probability that a randomly selected person will not feel guilty for either of these reasons is 0.46

Step-by-step explanation:

Given the data in the question;

lets A represent person feels guilty about wasting food and B represent leaving the light on when not in room;

probability; feel  guilty about wasting food P(A) = 0.39

probability; feel guilty about leaving light on P(B) = 0.27

probability; feel guilty for both P(A ∩ B ) = 0.12

a)

probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both

p( A ∪ B ) = P(A) + P(B) - P(A ∩ B )

we substitute

p( A ∪ B ) = 0.39 + 0.27 - 0.12

p( A ∪ B ) = 0.54

Therefore, the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both is 0.54

b)

probability that a randomly selected person will not feel guilty for either of these reasons;

p( A ∪ B )' = 1 - p( A ∪ B )

p( A ∪ B )' = 1 - 0.54

p( A ∪ B )' = 0.46

Therefore, the probability that a randomly selected person will not feel guilty for either of these reasons is 0.46

Professor Ivy has given the following weights to her grades: Weight of Area Homework 5% Projects 25% Quiz 25% Exams 45% Your friend has the following averages: Homework: 95 Projects: 89 Quizzes: 80 Exams: 86

Answers

Answer:

The said friend's grade in Professor Ivy's class is 85.7.

Step-by-step explanation:

Assuming the question asks for your friend's grade in Professor Ivy's class.

0.05(95) + 0.25(89) + 0.25(80) + 0.45(86) = 85.7

Pls help! This test determines if I take math 1 or 2 for 8th grade!!

Answers

Answer:

My best guess is D she can make 4 dozen cokies

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

it is B because  for number A 1+1 =2 2>1.75.  B= 1.5<175, c= 0.5 <1, d. 2>1.75

WIIL GIVE BRAINLIEST IF YOU HELP ME

Answers

Answer:

What is the question?

Step-by-step explanation:

|-3|>2 true or false

Answers

Answer:

True

Step-by-step explanation:

l-3l>2

3>2= True

Sally drives from Turlock to Los Angeles at an
average speed of 60 miles per hour. Turlock is
approximately 300 miles from Los Angeles. Which
of the following graphs could give Sally’s
approximate distance d, in miles from Los Angeles,
in terms of time t, in hours? A, B, C, D, or E?

Answers

Answer:

A

Step-by-step explanation:

Please help ASAP ........ Find the area of the region bounded by the curves

x² + y² = 4, y = √3x , and 1st quadrant..

Answers

Answer:

(x₁ ,  y₁) = (0,0)

(x₂ , y₂) = [tex]\frac{\sqrt[16]{3} }{19}[/tex] , [tex]\frac{12}{19}[/tex]

6x+2+11x+8=180 what's the value of x?

Answers

17x+10=180
-10 -10
——————-
17x=170
————
17 17

x=10

Answer:

x=10

Step-by-step explanation:

BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS

Answers

Answer:

C) angle 7

Step-by-step explanation:

angle 7

The line of best fit for the graph above has the equation
y = -3x + 2. What value does the line predict when x = 9?

Answers

Answer:

y = -25

Step-by-step explanation:

The equation of line is given as :

y = -3x + 2

We need to find the value when x = 9.

Put x = 9 in the given equation. So,

y = -3(9)+ 2

= -27+2

= -25

So, the value of line is equal to -25.

jay spent 1/2 of his money on pencils. He had $2.50 left.
How much money did he start with?

Answers

Answer:

$5

Step-by-step explanation:

1 Can of paint is enough to cover
4/5 of a wall. We only have 2/3 of
a can of paint. How much of a wall
can we paint with 2/3 of a can of
paint?



Pleasa give me the answer with showing work.

Answers

Answer:

Hi! The answer is [tex]1/3[/tex] of a wall.

Step-by-step explanation:

[tex]1 - 2/3[/tex]

[tex]= 1/3[/tex]

☆*: .。.。.:*☆☆.*: .。..。.:*☆☆*: .。.。.:*☆☆.*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

For the polynomial below, 3 is a zero.
g(x)=x^3-7x^2+9x+9
Express g(x) as a product of linear factors

Answers

9514 1404 393

Answer:

  g(x) = (x -3)(x -2+√7)(x -2 -√7)

Step-by-step explanation:

Synthetic division can tell us the quadratic factor that remains when the factor (x-3) is divided out.

  g(x) = (x -3)(x^2 -4x -3)

The quadratic is not factorable over integers. Its vertex form is ...

  (x -2)^2 -7

so its roots are x = 2±√7.

That means the linear factorization of g(x) is ...

  g(x) = (x -3)(x -2-√7)(x -2+√7)

_____

I find it easy to learn the vertex form of the quadratic factor by using a graphing calculator to show the graph of the quadratic.

Please help, I need to solve for m. a=f/m

Answers

You dived f out m and you should get a/f=m

please help :( i don’t understand!
An engineer estimated the weight of a steel beam to be 150 pounds. The actual weight of the beam was 143 pounds.
Find the absolute error and the percent error of the engineer's estimate. If necessary, round your answers to the nearest tenth.

absolute error = ? (pounds)
percent error = ? (%)

Answers

Answer:

absolute error: 7 pounds

percent error:4.9%

Step-by-step explanation:

Absolute error:

150-143=7 pounds

Percent error:

=l[tex]\frac{150-143}{143}[/tex] l x 100

=l[tex]\frac{7}{143}[/tex]l x 100

=0.04895x100

=4.895...

=4.9%

Company A is trying to sell its website to Company B. As part of the sale, Company A claims that the average user of their site stays on the site for 10 minutes. Company B is concerned that the mean time is significantly less than 10 minutes. Company B collects the times (in minutes) below for a sample of 17 users. Assume normality. Assume normality.

1.2
2.8
1.5
19.3
2.4
0.7
2.2
0.7
18.8
6.1
6
1.7
29.1
2.6
0.2
10.2
5.1
0.9
8.2

Conduct the appropriate hypothesis test for Company B using a 0.08 level of significance.

1. What are the appropriate null and alternative hypotheses?

a. H0: μ = 10 versus Ha: μ ≠ 10
b. H0: μ = 10 versus Ha: μ > 10
c. H0: x = 10 versus Ha: x ≠ 10
d. H0: μ = 10 versus Ha: μ < 10


2. What is the test statistic? Give your answer to four decimal places.
3. What is the critical value for the test? Give your answer to four decimal places.
4. What is the appropriate conclusion?

Answers

Answer:

H0 : μ = 10

H1 : μ < 10

Test statistic = - 2.0415

Critical value = -1.4051

There is significant evidence to conclude that the mean time a user stays on site is less than 10 minutes

Step-by-step explanation:

The null and alternative hypothesis :

H0 : μ = 10

H1 : μ < 10

The test statistic :

From the data Given, using calculator :

Sample mean, xbar = 6.3

Sample standard deviation, s = 7.90

Test statistic = (xbar - μ) ÷ (s/sqrt(n))

Number of samples given is 19 and not 17 as stated in the question.

Test statistic = (6.3 - 10) ÷ (7.90 / sqrt(19))

Test statistic = - 3.7 / 1.8123842

Test statistic = - 2.0415

The critical value for the test :

At α = 0.08 ;

Critical value = -1.4051

Since, Test statistic is < Critical value ;

-2.0415 < - 1.0451 ; we reject the Null

There is significant evidence to conclude that the mean time a user stays on site is less than 10 minutes

what is the answer. Evalute (2/3)2. Thank you

Answers

Answer:

4/3

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

[tex] { \frac{2}{3} }^{2} = \frac{4}{9} [/tex]

have a nice day

help help help help pleaseeeee

Answers

Answer:

h=13

P=5

b=12

Step-by-step explanation:

tanA=p÷b=5÷12sinA=p÷h=5÷13cosA=b÷h=12÷13

A truck has 475 apples on it. It makes a delivery of 215 apples to the farmer's market. The rest of the apples on the truck are delivered to the grocery store. How many more apples were delivered to the grocery store than to the farmer's market?

Answers

Answer:

45 more apples

Step-by-step explanation:

Well the total is 475

215 is already gone and the remaining goes to the store

475-215= 260

Groccery gets 260

Farmer gets 215

So to find how much more yuou jsut subtract the 2

260-215 which is 45

Heather paid $37.50 for a pizza to be delivered to her house. She had a coupon for 30% off and
there is a tax of 8%. What was the total cost of the pizza to be delivered?

Answers

Answer:

The original cost of the pizza before the discount coupon and the tax was $49.28.

Step-by-step explanation:

Given that Heather paid $ 37.50 for a pizza to be delivered to her house, and she had a coupon for 30% off and there is a tax of 8%, to determine what was the total cost of the pizza to be delivered, the following calculation has to be done:

100 - 8 = 92

100 = 37.50

92 = X

92 x 37.50 / 100 = X

34.50 = X

100 - 30 = 70

70 = 34.50

100 = X

100 x 34.50 / 70 = X

49.28 = X

Thus, the original cost of the pizza before the discount coupon and the tax was $ 49.28.

Census data from a city of 80,000 residents produced the income distribution shown here:
110
60
Income (thousand dollars)
Suppose that we were to take random samples of 5 residents from this population and calculate the sample
mean income of the residents in each sample.
What will be the shape of the sampling distribution of the sample mean?

Answers

Answer:

Skewed to the right

Look at dis \/

The shape of the sampling distribution of the sample mean will match the shape of the parent population since the sample size is small (n=5<30), although it will be closer to normal than the parent population is.

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whats going on ;)

What is the total area of the figure shown?
A)80ft2

B)74ft2

C)56ft2

D)42ft2

Answers

Answer:

B 74

Step-by-step explanation:

please help!! Area of Trapezoids and Triangles ​

Answers

Answer: Area of the shape is 168 ft.

Step-by-step explanation: Split the shape into 2 shapes: A rectangle and a triangle.

Area of the rectangle shape is 144 and the area of the triangle is 24. Add them and you get 168.

(-10) + 3 = 10 - 3 is true or false??? ​

Answers

(-10) + 3 = -(10 - 3) = -7

10 - 3 = 7

-7 ≠ 7

FALSE

The sum of two numbers is 200 and the two numbers in a ratio of 2.3. What is the larger number

Answers

Answer:

the larger number is 120

Step-by-step explanation:

sum of number = 200

total ratio = 2 + 3 = 5

ratio 1 = 200 ÷ 5 = 40

ratio 2 = 40 × 2 = 80

ratio 3 = 40 × 3 = 120

Help please question in picture

Answers

Answer:

220

Step-by-step explanation:

Area of square=8*20=160

Area of triangle=(6*20)/2=60

160+60

Answer:

220 units²

I'm sure this is the answer!

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

Answer:

10.5

Step-by-step explanation:

I believe the graph is saying there is 6 glasses that have exactly 1¾ tablespoons. Therefore, you do 6 × 1¾ and get 10.5 or 10 ½ tablespoons

the answer is  " 10.5 "

What is the solution of the equation z +8 = 21?

Answers

Answer: 13

Explanation:

21-8=13

z = 13  is the solution of the equation z +8 = 21.

What is simplification?

When a mathematical expression is converted into an equivalent, typically shorter statement, it becomes simpler. Procedure simplification is one method to encourage uniformity in work effort, expense, and duration. It reduces diversity and variation that is detrimental, pointless, or unnecessary.

Given, an expression  z + 8 = 21

Simplifying it,

z = 21 - 8

z = 13

Therefore, The answer to the equation z + 8 = 21 is z = 13.

Learn more about simplification here:

brainly.com/question/24242989

#SPJ2

3^x = 9x. What is the value of x?​

Answers

x = 3

[tex]3^{3} =[/tex] 3 x 3 x 3 = 27

9x = 9 x 3 = 27

Other Questions
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Current assets Cash Accounts receivable Inventory Total Fixed assets Net plant and equipment Total assets Assets 2017 $ 24, An appropriate entry for a sale on account would include which of the following?