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.
Resuelve los siguientes triángulos rectángulos encontrando todos los datos faltantes
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?
Answer:
is that letter c
Step-by-step explanation:
follow me
ill give brainliest please help
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.
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!!!!!
Answer:
B and C
Step-by-step explanation:
Tahnks for the brainlt
Guys can you please help Please HELP
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
Answer: B. 23.07755 has 7 significant digits
Step-by-step explanation:
Please I need help asappp:(!
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!!!
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)
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
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?
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.
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
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!
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?
$3 is what percent of $6
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.
Answer:
can you show the table?
Step-by-step explanation:
to help with figuring the answer cause there no context
HELPPPPPP PLEASEEEEEEEEEE
Answer:
Step-by-step explanation:
on the verge of failing and i desperately need help/please :((
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
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
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)
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.)
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
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
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
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).
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?
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!!!
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.