Adam is building a computer desk with a separate compartment for the computer. The compartment for the computer is a rectangular prism and will be 8019 cubic inches. The compartment will be 24 inches longer than it is wide and the height will be 18 inches greater than the width. Find the dimensions of the computer compartment.

Answers

Answer 1

Answer:

The width of the computer compartment is 9 inches

The length of the computer compartment is 33 inches

The height of the computer compartment is 27 inches

Step-by-step explanation:

The given data on the rectangular prism compartment are;

The volume of the rectangular prism, V = 8019 cubic inches

The length of the compartment, l = 24 inches + The width, w

The height of the compartment, h = 18 inches + The width, w

Therefore, we have;

l = 24 + w

h = 18 + w

V = l × h × w

∴ V = (24 + w) × (18 + w) × w = w³ + 42·w² + 432·w = 8019

w³ + 42·w² + 432·w - 8019 = 0

By graphing the above function with MS Excel, we have one of the solution is w = 9

∴ (w - 9) is a factor of w³ + 42·w² + 432·w - 8019 = 0

Dividing, we get;

w² + 51·w + 891

w³ + 42·w² + 432·w - 8019 = 0

w³ - 9·w²

     51·w² - 459·w

                 891·w

                 891·w + 8019

                             0

Therefore,

w³ + 42·w² + 432·w - 8019 = 0

w³ + 42·w² + 432·w - 8019  = (x - 9)·(w² + 51·w + 891) = 0

The determinant of the factor, w² + 51·w + 891 = 51² - 4×1×891 = -963, therefore, the it has complex roots

Therefore, the real solution of (x - 9)·(w² + 51·w + 891) = 0 is w = 9

The width of the computer compartment, w = 9 inches

The length of the computer compartment, l = 24 inches + 9 inches = 33 inches

The height of the computer compartment, h = 18 inches + 9 inches = 27 inches.

Adam Is Building A Computer Desk With A Separate Compartment For The Computer. The Compartment For The

Related Questions

Resuelve los siguientes triángulos rectángulos encontrando todos los datos faltantes ​

Answers

Respuesta:

A = 51,167

b = 28,5 pies

c = 45,4 pies

Explicación paso a paso:

C = 90 °

B = 38 ° 50 '

Convertir B a grado

1 ° = 60 '

x ° = 50 '

Multiplicar en cruz:

60x = 50

x = 50/60

x = 0,83333 °

Por lo tanto, 38 ° 50 '= 38 ° + 0.833 ° = 38.833 °

Recordar :

A + B + C = 180 ° (Suma de ángulos en un triángulo)

A + 38.833 + 90 = 180

A + 128.833 = 180

A = 180 - 128,833

A = 51,167 °

Usando identidades trigonométricas, podríamos encontrar byc

Para obtener b:

Tan B = opuesto / adyacente = b / 35.4

Tan 38,833 = b / 35,4

b = Tan 38,833 * 35,4

b = 28,5 pies

Para obtener c:

Podríamos usar:

Sin A = opuesto / hipoteno = 35,4 / c

Sin 51,167 = 35,4 / c

c * sin 51,167 = 35,4

c = 35,4 / sen 51,167

c = 45,4 pies

Carlos is using the quadratic formula to find the zeros of y=3x^2-5x-2. Which of the following will simplify to the correct solutions?

Answers

Answer:

is that letter c

Step-by-step explanation:

follow me

ill give brainliest please help

Answers

Answer:

x= -1 y= -5

There for: (x, y). (-1,-5).

Step-by-step explanation:

Step one:

y=y

5x=9x+4

5x-9x=4

-4x=4

x= -1

Step two:

y=5x

y= 5(-1)

y= -5

Hope u find this helpful

Step-by-step explanation:

y=5x

y=9x+4

Substituting value of x in equation 2

y=9x+4

5x=9x+4

5x-9x=4

-4x=4

so x = -1

again

y=5x

y=5 * (-1)

so y = -5.

One advantage of a matched subjects design is: Group of answer choices A. Individuals do not have to be randomly assigned. B. Everything is automatically counterbalanced. C. That error variance is decreased. D. There are no individual differences.

Answers

Answer:

c

Step-by-step explanation:

A matched subject design makes use of different sets of  experimental groups for a treatment. then, each test subject in one group is matched with another equivalent subject in another group.

the advantage of this is that it reduces the error of variance

RIGHT ANSWER GETS BRAINLIEST!!!!!

Answers

Answer:

B and C

Step-by-step explanation:

Tahnks for the brainlt

Guys can you please help Please HELP​

Answers

Answer:

2x+10+3x-10=90

5x=90

x=18

the answer is 18 because the figure is a rectangle and recatngle angles equal 90

Answer:

Where is I on the square?

Which of the following numbers has the most number of significant digits?

A. 1.56
B. 23.07755
C. 500.005
D. 1.005

Answers

B. 23.07755 has 7 significant digits

Answer: B. 23.07755 has 7 significant digits

Step-by-step explanation:

Please I need help asappp:(!

Answers

Answer:

paid $13.20

Step-by-step explanation:

45% of 24 is 10.80

subtract 10.80 from 24 and get 13.20

Answer:

$13.2

Step-by-step explanation:

Equation: original price - original price(decimal form)

24-24(0.45)

24-10.8

13.2

I hope this helps you, make sure you check with someone if you still have trouble (◠‿◕)

PLEASE HELP THIS IS THE LAST QUESTION I HAVE TO DO!!!!!! YOU WILL GET 25 POINTS AND FIRST TO ANSWER WILL GET BRAINLIEST!!!

Answers

Answer:

can you give a little better of an explanation

Step-by-step explanation:

Use the disributive property to finish the expression that is equivalent to 12 + 4x.
12 + 4x = ___ (3 + x)​

Answers

Answer:

12 + 4x = 4(3 + x)

Step-by-step explanation:

Think about what you need to multiply (3 + x) by to get 12 + 4x.

4. The route for Millburn's Fourth of July parade stretches 2 miles (10,560 feet).
Spectators are usually evenly distributed along both sides of the route. Along one
side of 50 feet of the route, you count 15 children. Estimate the number of children
who attended the parade.

PLEASEEE HELP

Answers

Answer:

The estimated number of children who attended the parade is 6,336.

Step-by-step explanation:

Since the route for Millburn's Fourth of July parade stretches 2 miles (10,560 feet), and spectators are usually evenly distributed along both sides of the route, and along one side of 50 feet of the route, you count 15 children, to estimate the number of children who attended the parade, the following calculation must be performed:

(10,560 / 50) = 211.2

211.2 x 15 x 2 = X

211.2 x 30 = X

6.336 = X

Therefore, the estimated number of children who attended the parade is 6,336.

If John loses -$50 over 10 days, on average how much does he lose in one day?

Answers

Answer:

$5

Step-by-step explanation:

If John loses $50 over 10 days, just divide 50 by ten.

Answer:

$5

Step-by-step explanation:

take the total ($50) and divide that by the amount of days you lose said money (10)

bonus: cat

Round 0.598 to the nearest hundredth.

Answers

Answer:

.60

Step-by-step explanation:I need brainliest for the next rank I’d appreciate it

GEOMETRY PLS HELP
WHATS THE VOLUME WILL MARK BRAINLIST GOD BLESS

Answers

Answer:

You are right. It's 56

Step-by-step explanation:

You do half of the solid (4*7) with is 28. Then because it is only half you would double your answer to get 56.

V = L * W

V = 4 * 7

V = 28

Then double it.  28 * 2 = 56

Estimate 16.82-8.264 by first rounding each number to the nearest tenth.


pls help i need the right answer!

Answers

Answer:

so the answer is about 8.40

Steps

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

find the number in the tenth place and look one place to the right for the rounding digit. Round up if the number is greater than or equal to 5 but since 2 is less than 5, stays the same

16.820⇒16.82

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

8.264⇒8.364

Remember round up if the number is greater than or equal to 5 and round down if the number is less than 5.

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

now that we have rounded everything. It is time to estimate 16.82-8.364.

16.82 is close to 16.80 and 8.364 is close to 8.40.

16.80-8.40=8.40

A bag contains 4 red, 11 green, and 5 blue balls. The balls are identical in size. A ball is
drawn at random. What is the probability of the ball being red?

Answers

1/5. You take the # of balls in the bag by the total. You get 4/20. Once you simplify, you get 1/5. If you still have questions about my explanation, feel free to ask! hope this helps!!

$3 is what percent of $6

Answers

Answer:

50 percent

1/2 of 6 is 3

Answer:

50 percent

Step-by-step explanation:

You ask of your classmates if they have any siblings. Complete the​ two-way frequency table to show the results of the survey.
Construct the​ two-way frequency table.

Answers

Answer:

can you show the table?

Step-by-step explanation:

to help with figuring the answer cause there no context

HELPPPPPP PLEASEEEEEEEEEE

Answers

Answer:

Step-by-step explanation:

on the verge of failing and i desperately need help/please :((

Answers

Answer:

B

Step-by-step explanation:

It's kind of ahrd to see but you can see that the x coordinate is for sure 4

b is the only possible answer

Evaluate the expression 4x2+3y for x = 5 and y =6

Answers

Answer:

118

Step-by-step explanation:

4x² + 3y

= 4(5)² + 3(6)

=4(25) + 18

= 100 + 18

= 118

helllppp porfavor:,)

x/9=15/2 rounded to the nearest tenth

20/8.7=5.8/x to the nearest tenth

5/16=11/x nearest tenth

x/0.06=17/0.5 to the nearest tenth

29/x=75/44

Answers

Answer:

1. x = 67.5

2. x = 2.5

3. x = 35.2

4. x = 2.0

5. x = 17.0

Step-by-step explanation:

Question 1

The proportion is set up in the form x/9 = 15/2. Multiply both sides by two to get rid of the two in the denominator on the right side. After doing so, multiply by 9 on both sides to get rid of the 9 in the denominator on the left:

2x/9 = 15

2x = 9(15)

Next solve for x:

2x = 135

x = 67.5

Question 2

The proportion is set up in the form 20/8.7 = 5.8/x. Multiply both sides by the second denominator, x, and then both sides by the first, 8.7. This will leave you with the work below:

20x/8.7 = 5.8

20x = 8.7(5.8)

Next, solve for x:

20x = 50.46

x = 2.523

Round to the nearest tenth:

x = 2.5

Question 3

The proportion is set up in the form 5/16 = 11/x. Multiply both sides by the second denominator, x, and then both sides by the first, 16. This will leave you with the work below:

5x/16 = 11

5x = 11(16)

Next, solve for x:

5x = 176

x = 35.2

Question 4

The proportion is set up in the form x/0.06 = 17/0.5. Multiply both sides by the second denominator, 0.5, and then both sides by the first, 0.06. This will leave you with the work below:

0.5x/0.06 = 17

0.5x = 17(0.06)

Next, solve for x:

0.5x = 1.02

x = 2.04

Round to the nearest tenth:

x = 2.0

Question 5

The proportion is set up in the form 29/x = 75/44. Multiply both sides by the second denominator, 44, and then both sides by the first, x. This will leave you with the work below:

29(44)/x = 75

29(44) = 75x

Next, solve for x:

1276 = 75x

x = 17.0133

Round to the nearest tenth:

x = 17.0

write each expression in simplest, (x-4)+(-2x+1)​

Answers

Answer:

You can use symbolab for problems such as these, they'll provide step-by-step guides on how to do it. Symbolab is a math calculator that shows you how to solve each problem.

3^4 + 4 ⋅ 5 = ____. (Input only whole numbers.)

Answers

Answer:

101.

Step-by-step explanation:

3^4 equals 81.

4 times 5 is 20.

81 plus 20 equals 101.

Your answer is 101.

How many faces are there in cuboid ​

Answers

Cuboid. A cuboid is a solid that has six rectangular faces--think of a typical box. All faces are either parallel or perpendicular to each other. Further, a cuboid is a right rectangular prism.

Answer:

There are 6 faces in cuboid

Find the coordinates for the point Y that lies on the directed segment from X(-1,3) to Z(5,6) and partitions the segment in the ration 2:3

Answers

Answer:

(2.6, 4.8)

Step-by-step explanation:

The midpoint segment formula is expressed as;

M(X, Y) = [(ax2+bx1)/a+b, (ay2+by1)/a+b]

X = ax1+bx2)/a+b

Y = ay1+by2)/a+b

Given X(-1,3) to Z(5,6) and a = 2, b = 3

X = 2(-1)+3(5)/2+3

X =(-2+15)/5

X =13/5

X = 2.6

Similarly;

Y = 2(3)+3(6)/2+3

Y =(6+18)/5

Y =24/5

Y = 4.8

hence the required coordinate of Y is (2.6, 4.8)

Which of these will not help you achieve a goal?
help please​

Answers

Answer:

Hello! Mizuki here to help. The correct option you choose should be the second one(hoping you meet it)

Just hoping and not trying to achieve the goal won't help. The others are important step(s) to achieve a goal.

Step-by-step explanation:



Find the distance between the points (4, 0) and (8,3).

Answers

Answer:

Step-by-step explanation:

website for info:

https://www.symbolab.com/solver/pre-calculus-distance-calculator

If l = 60 inches, w = 65 inches, h = 50 inches, and t = 40 inches, counting the floor, what is the volume of the tent?

Answers

Answer:

To find volume of a tent this would be your formula:

start by taking the base of the triangle on your tent typically located in the front

1/2 (height) (width) to get your area (DONT SKIP THIS STEP)

Then take your area you just calculated and do

(area) (length)

Let me give you an example:

in the picture below

height: 3 cm

length: 8 cm

Width: 12 cm

Next do your first formula:

1/2 (3)(12)= 18 cm

(Calculation of one face)

then your second:

(18)(8)= 144 [tex]cm^3}[/tex]

Hopefully this guide helped you sorry i couldn't answer your question without a picture!

Help me please ASAP!!!

Answers

Answer:

answer c

Step-by-step explanation:

Answer:

D. 116 square cm

Step-by-step explanation:

This is because the formula to find the area of a triangle is h(b/2). 15 divided by 2 is 7.5 and 7.5 multiplied by 4 is 30. The square's area is 16 and the parallelogram  70. 70 + 30 + 16 = 116.

Other Questions
Your friend wants to travel abroad for university education. Write a letter expressing your views about his intention and advising him on what to do f(x)=2x210x+11 What is f(4)? I used to go fishing in Vancouver with my dad until just a few year ago we found the fish full of cancer purposes and effect on the audience.(type your answer her) Which stage of personality development is represented by an 18-year-oldgirl considering her college and career options. *take initiativedevelop skillscreate and nurturesearch for identity Use the figure below to determine the length of sides b and c.Question 5 options:b = 53, c = 10b =10, c = 53b = 52, c = 103b = 5, c = 102 You purchase a motor in Germany designed to run at 415 Volts, 50 Hz. It has 75 kW output power, runs at 2978 RPM and has 240 N-m of rated torque. You ship it Canada and run it at 480 Volts, 60 Hz. What will be the new torque in N-m What did the new nationalism program support? A square is rotated clockwise about center point P.Click on all the degrees of rotation that will carry the square onto itself,45900120135180225240270315360 Explain the concept of molar mass. Define Ductility._____________ Urgently need 20 points I dont need any links just answers thank you helppp? dont guess. pleaseeeee Write the pronoun that completes each sentence.1. Mateoprepara el desayuno a su hermana.2. Mateotrae la compra a nosotros.3. Mateococina unos frijoles a ustedes.4. Mateocompra unos libros a m.5. Mateo prefiere prepararla comida a ti.No links . idea that the ears receive slightly different inputs when the sound source is located to one side or the other. b. location of the sound in space. c. difference in time between a sound arriving at one ear versus the other. d. angle of a sound source on the horizontal plane relative to a point in the center of the head between the ears. e. distance between the sound and the ears. A mutation that involves one or just a few nucleotides is known as what? A. point B. minor C. chromosomal Drag the tiles to the boxes to form correct pairs.Match each writing process step with its description.prewritingdraftingrevisingeditingCheck the grammar, spelling, and punctuation of the entire paper.Write ideas into paragraphs.Come up with ideas and organize them into an outline or graphic organizer.Add, delete, or rearrange ideas. Review transition words or phrases and the thesisstatement. Plz help me well mark brainliest if correct ...?????????? Mai put $4,250 in the bank for a rate of 4% simple interest per year. After3 years, what will be the balance of her bank account?0 Explain why it was so difficult for the United States to win the war in Vietnam? 9. Why are natural resources not distributed evenlynor randomly?a. they are dependent on astrological signsb. they are derived from natural geologicalprocessesc. migration patterns are differentd. evolution always selects the best adapted