The volume of a right rectangular solid is 384 ft3. Find the height of the solid, if the length is 3 times the width, and the height is twice the perimeter of the base.

Answers

Answer 1

Answer:

height is 32 ft

Step-by-step explanation:

384 = LWH?

(3W) (W) (H) = (3 x 2) (2) (16 x 2) = (6) (2) (32) = (12) (32) = 384 cubic ft


Related Questions

the weights of students in a junior college are normally distributed with a mean of 100 lbs. and a standard deviation of 18 lbs. What is the probability that a student drawn at random will weigh less than 150 lbs

Answers

Answer: 0.9973 .

Step-by-step explanation:

Given: Weights of students in a junior college follows normal distribution with a mean = 100 lbs and a standard deviation =18 lbs.

Let X denotes the random variable that represents the weights of students .

Then, the probability that a student drawn at random will weigh less than 150 lbs will be :

[tex]P(X<150)=P(\dfrac{X_\mu}{\sigma}<\dfrac{150-100}{18})\\\\=P(Z<2.78 )\ \ \ \ [Z=\dfrac{X_\mu}{\sigma}]\\\\ =0.9973\ \ \ [\text{By p-value table for z}][/tex]

Hence, the e=required probability is 0.9973 .

Please explain also​

Answers

Answer:

300 m^2

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask =)

6(y + 3) = 30


(ignore this i8)

Answers

Answer:

y = 2

Step-by-step explanation:

Step 1:

6y + 18 = 30

Step 2:

6y = 12

Answer:

y = 2

Hope This Helps :)

I guess I'll ignore it then and not answer. The other person answered this very well.

The distance on a map between a student’s house and her job is 6 cm. On the same map, the distance between her house and her school 8 cm. The actual distance from her house to school is 12 km. If d represents the approximate distance in km between her house and her job, what is d?

Answers

Answer:

9km

Step-by-step explanation:

If the distance on the map of 8cm between her house and school is equal to 12km actual distance. This means that each cm on the map represent 1.5km in actual distance (12/8=1.5).

This means that D is equal to 9km actual distance, because if each cm represents 1.5km, then 6 cm represents 9km (6x1.5=9).

Hope this helped!

Answer:

       B

Step-by-step explanation:

9 km

this is the second question I don't undrstand​

Answers

Answer:

[tex]d=\sqrt{58}[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in your coordinates into the distance formula to find the length of AB:

[tex]d=\sqrt{(9-2)^2+(4-1)^2}[/tex]

[tex]d=\sqrt{(7)^2+(3)^2}[/tex]

[tex]d=\sqrt{49+9}[/tex]

[tex]d=\sqrt{58}[/tex]

D= __
/58
I’m not sure I’m just a high schooler sooo I hope it helps

Lin makes a line plot to show the data in the table. He places one dot above the 2 on the scale .How many dots should he place above the 3

Answers

Answer: 4

Step-by-step explanation: cause the chart has 4 number 3

A number is five less than one fourth of itself​

Answers

Answer:

x = 1/4x - 5

Step-by-step explanation:

Step 1: Translate from word to math

A number = x

five less = -5

one-fourth = 1/4

of itself = x

Step 2: Combine

x = 1/4x - 5

Use the protractor tool to measure the angle.


What is the measure of the angle? Enter the answer in the box.
degrees

Answers

Answer: i belive its 140 i really coudn't tell.

Step-by-step explanation:          

I used the protactor and  I aligned it agaist the problem. Hope this helps. :)  

By that i meant i got my protactor and I aligned it on the tiny dot you can see, the arrow  pointed onto the number.  I really don't think there is much to explain. If their is any confusion i will re-write it.

Answer:

the answer for this question is 110

Floyd has just opened his new sandwich shop. He makes $3.00 on every sandwich sold and his monthly expenses
are $5,000. Which equation can be used to model the number of sandwiches, s, he needs to sell in a month in order to
make a profit, P?
O P = 5,000 - 35
O P = 5000 + 35
O P = 3s - 5000 6
Os= 5000-P
0

Answers

The answer is P=3s-5000

Answer:

I think the answer is P=3s-5000

Step-by-step explanation:

you wouldn't subtract anything from the 5000, you would subtract the 5000 from how much you made from the sandwiches.

hope that helps

A sports stadium has 10000 seats, divided into box seats, lower-deck seats, and upper-devk seats. Box seats sell for 10 dollars, lower-deck seats sell for 8 dollars, and upper-deck seats sell for 5 dollars.If all the seats are sold, the total revenue for a game is 70000 dollars.The stadium has 4 times as many upper* deckseats as box seats.How many lower-deck seats are in the stadium?

Answers

Answer:

Number of box seats = 1000

Number of lower deck seats = 5000

Number of upper deck seats = 4000

Step-by-step explanation:

Let number of box seats = [tex]x[/tex]

Let number of lower deck seats = [tex]y[/tex]

Let number of upper deck seats = [tex]z[/tex]

As per question statement:

[tex]x+y+z=10000[/tex] ...... (1)

Cost for box seat = $10

Cost for [tex]x[/tex] box seats = 10[tex]x[/tex]

Cost for lower deck seat = $8

Cost for [tex]y[/tex] lower deck seats = 8[tex]y[/tex]

Cost for lower deck seat = $5

Cost for [tex]z[/tex] lower deck seats = 5[tex]z[/tex]

As per question statement:

[tex]10x+8y+5z=70000[/tex] ..... (2)

[tex]z = 4x[/tex] ..... (3)

Putting value of [tex]y[/tex] in (1) and (2):

[tex]x+y+4x=10000\\\Rightarrow 5x+y=10000[/tex] ....... (4)

[tex]10x+8 y+5\times 4x=70000\\\Rightarrow 30x+8y=70000 ..... (5)[/tex]

8 [tex]\times[/tex] (4) - (5):

[tex]10x =[/tex]10000

[tex]\Rightarrow x = 1000[/tex]

By (3):

[tex]z = 4000[/tex]

Now, by equation (1):

[tex]y[/tex] = 5000

Number of box seats = 1000

Number of lower deck seats = 5000

Number of upper deck seats = 4000

11. Through (-3,-5), perpendicular to -2x - 5y = -19

A. y=2/5x+2/5 B. y=3/5x-19/5 C. y=-5/2x+5/2 D. y=5/2x+5/2


12. Through (-8,1), parallel to -8x + 5y = 89

A. y=-8/5x-69/5 B. y=8/5x+69/5 C. y=8/5x-89/5 B. 5/8x-1/8


14. Through (-8,1), perpendicular to -5x + 9y = 49

A. y=-9/5x-67/5 B. y=-9/5x C. y=-5/9x-67 D.y=9/5x+67/5

Answers

Answer:

11) D. y=5/2x+5/2 , 12) B. y=8/5x+69/5, 14) A. y=-9/5x-67/5

Step-by-step explanation:

11) The function of the perpendicular line can be found in terms of its slope and a given point by this formula:

[tex]y-y_{o} = m_{\perp}\cdot (x-x_{o})[/tex]

Where:

[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Components of the given point, dimensionless.

[tex]m_{\perp}[/tex] - Slope, dimensionless.

Besides, a slope that is perpendicular to original line can be calculated by this expression:

[tex]m_{\perp} = -\frac{1}{m}[/tex]

Where [tex]m[/tex] is the slope of the original line, dimensionless.

The original slope is determined from the explicitive form of the given line:

[tex]-2\cdot x - 5\cdot y = -19[/tex]

[tex]2\cdot x +5\cdot y = 19[/tex]

[tex]5\cdot y = 19 - 2\cdot x[/tex]

[tex]y = \frac{19}{5} -\frac{2}{5}\cdot x[/tex]

The original slope is [tex]-\frac{2}{5}[/tex], and the slope of the perpendicular line is:

[tex]m_{\perp} = -\frac{1}{\left(-\frac{2}{5}\right) }[/tex]

[tex]m_{\perp} = \frac{5}{2}[/tex]

If [tex]x_{o} = -3[/tex], [tex]y_{o} = -5[/tex] and [tex]m_{\perp} = \frac{5}{2}[/tex], then:

[tex]y-(-5) = \frac{5}{2}\cdot [x-(-3)][/tex]

[tex]y + 5 = \frac{5}{2}\cdot x +\frac{15}{2}[/tex]

[tex]y = \frac{5}{2}\cdot x +\frac{5}{2}[/tex]

The right answer is D.

12) The function of the parallel line can be found in terms of its slope and a given point by this formula:

[tex]y-y_{o} = m_{\parallel}\cdot (x-x_{o})[/tex]

Where:

[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Components of the given point, dimensionless.

[tex]m_{\parallel}[/tex] - Slope, dimensionless.

Its slope is the slope of the given, which must be transformed into its explicitive form:

[tex]-8\cdot x + 5\cdot y = 89[/tex]

[tex]5\cdot y = 89 +8\cdot x[/tex]

[tex]y = \frac{89}{5}+\frac{8}{5} \cdot x[/tex]

The slope of the parallel line is [tex]\frac{8}{5}[/tex].

If [tex]x_{o} = -8[/tex], [tex]y_{o} = 1[/tex] and [tex]m_{\parallel} = \frac{8}{5}[/tex], then:

[tex]y-1 = \frac{8}{5}\cdot [x-(-8)][/tex]

[tex]y-1 = \frac{8}{5}\cdot x +\frac{64}{5}[/tex]

[tex]y = \frac{8}{5}\cdot x +\frac{69}{5}[/tex]

The correct answer is B.

14) The function of the perpendicular line can be found in terms of its slope and a given point by this formula:

[tex]y-y_{o} = m_{\perp}\cdot (x-x_{o})[/tex]

Where:

[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Components of the given point, dimensionless.

[tex]m_{\perp}[/tex] - Slope, dimensionless.

Besides, a slope that is perpendicular to original line can be calculated by this expression:

[tex]m_{\perp} = -\frac{1}{m}[/tex]

Where [tex]m[/tex] is the slope of the original line, dimensionless.

The original slope is determined from the explicitive form of the given line:

[tex]-5\cdot x +9\cdot y = 49[/tex]

[tex]9\cdot y = 49+5\cdot x[/tex]

[tex]y = \frac{49}{9} +\frac{5}{9}\cdot x[/tex]

The original slope is [tex]\frac{5}{9}[/tex], and the slope of the perpendicular line is:

[tex]m_{\perp} = -\frac{1}{m}[/tex]

[tex]m_{\perp} = -\frac{1}{\frac{5}{9} }[/tex]

[tex]m_{\perp} = -\frac{9}{5}[/tex]

If [tex]x_{o} = -8[/tex], [tex]y_{o} = 1[/tex] and [tex]m_{\perp} = -\frac{9}{5}[/tex], then:

[tex]y-1 = -\frac{9}{5}\cdot [x-(-8)][/tex]

[tex]y-1 = -\frac{9}{5}\cdot x-\frac{72}{5}[/tex]

[tex]y = -\frac{9}{5}\cdot x -\frac{67}{5}[/tex]

The correct answer is A.

Were should I go to study for my 10 grade geometry Fundamentals test which is tomorrow :[

Answers

Answer: in a quiet room or the library,

also you better summarize your geometry lessons and remember the formulas :P

what is 1/8 plus 4/5

Answers

Answer: 37/40

=1/8+4/5= 5+32/40
=37/40

A triangle has side lengths of (6.4c-2.5)(6.4c−2.5) centimeters, (8.7c-7.8)(8.7c−7.8) centimeters, and (6.4d-1.2)(6.4d−1.2) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answers

Answer:

15.1c + 6.4d - 11.5

Step-by-step explanation:

Given the following :

Lengths of the side of a triangle :

(6.4c-2.5) centimeters

(8.7c-7.8) centimeters

(6.4d-1.2) centimeters

Assume the sides Given are labeled A, B and C respectively,

The perimeter of a triangle is related vyvtge formula :

Perimeter = (A + B + C)

Perimeter = (6.4c - 2.5) + (8.7c - 7.8) + (6.4d - 1.2)

= (6.4c - 2.5) + (8.7c - 7.8) + (6.4d - 1.2)

= 6.4c - 2.5 + 8.7c - 7.8 + 6.4d - 1.2

= 6.4c + 8.7c + 6.4d - 2.5 - 7.8 - 1.2

= 15.1c + 6.4d - 11.5

Help me please!!!!!!!!!

Answers

Answer:

[tex] { \:( {6}^{10})}^{ - 7} [/tex]

Step-by-step explanation:

For all choices the exponent are addeed not multiplied.

hope it helps ❤❤❤

For any question comment me

Find all possible values of the expression 1/y if: .125

Answers

Answer:

The possible values for 1/y of the expression 0.125 < y < 0.25 are in the range

4 < 1/y < 8

Step-by-step explanation:

The given information are;

The range of values of y are 0.125 < y < 0.25, therefore, we have;

The boundaries of the function, y are 0.125 and 0.25

The inverse of the boundaries of the function, y are 1/0.125 = 8 and 1/0.24 = 4

Therefore;

The limits of the inverse of the function y are ;

The inequality that represents 1/y is therefore;

1/0.25 < 1/y < 1/0.125 or 4 < 1/y < 8

The possible values of 1/y for the expression 0.125 < y < 0.25 are therefore;

4 < 1/y < 8.

6
Triangle RST has the vertices R(2, 3), S(-2, 1), and T(-1,5). What are the coordinates after the
two transformations:
Reflection over the y-axis and rotation at 180 degrees around the origin. *
(2 points)
Enter your answer
Please and thank you

Answers

Answer:

R(-2,-1)

S(-1,-5)

T(2,-3)

Step-by-step explanation:

First, you flip all coordinates to their exact points, just of the other side of the y-axis.

Then, you just gotta graph it and rotate it 180* around the origin.

what is the solution of the system of linear equations? y = 3x - 2 y - 2 = x

Answers

Answer:

x = 2 y = 4

Step-by-step explanation:

y = 3x - 2

x = y - 2

Plug in the equation of x into the first equation and solve for y.

y = 3x - 2

y = 3(y - 2) - 2 Multiply out

y = 3y - 6 - 2

y = 3y - 8     Add 8 to each side

y + 8 = 3y - 8 + 8      8 cancels on the right

y + 8 = 3y          Subtract y from each side

y - y + 8 = 3y - y       The y on the left cancels

8 = 2y      Divide each side by 2

8/2 = 2y/2   2 on the right cancels because 2/2 = 1

8/2 = y

4 = y  

Now plug your answer into the 2nd equation given to solve for x.

x = y - 2

x = 4 - 2

x = 2

whats bigger 0.32 or 1/4??

Answers

Answer:

0.32 is bigger

Step-by-step explanation:

change 1/4 to decimal

can I get brainliest

Answer:

0.32

Step-by-step explanation:

Its bigger because if you turn 1/4 into a fraction it's 0.25

What is the difference between the high and low temp in the thermometer?

Answers

Answer:

The difference between the high and low temperature in the thermometer is 23°F.

Step-by-step explanation:

Given information: Highest temperature = 20°F and the lowest temperature = -3°F.

We need to find the difference between the high and low temperature in the thermometer.

Difference between the high and low temperature is

Difference = Highest temperature - Lowest temperature

Difference = 20°F - (-3°F)

Difference = 20°F + 3°F

Difference = 23°F

Therefore the difference between the high and low temperature in the thermometer is 23°F.

(-4x2)^2 / 2-9-5 how do I simplify

Answers

Answer:

-16/3

Step-by-step explanation:

To solve for this use the mnemonic device PEMDAS (parenthesis, exponent, multiplication, division, addition, subtraction)

First multiply -4 and 2 (-8)

(-8)^2/2-9-5

Next find out what -8 squared is (64)

64/2-9-5

Now simplify the denominator

64/-12

Lastly, divide 64 and -12

-16/3

find the light of the third side

Answers

Answer:

I'm not sure if this is what your looking for but the answer should be √11

Step-by-step explanation:

its in the picture....

please do give me brainliest if i was able to help you.

thank you and have a good day

what is 36-(-30)-60+6​

Answers

Answer

The answer is 0

can you please tell me the ans of my questions. the right ans with the process ​

Answers

Answer:  i) 216 liters        ii) 60 cm

Step-by-step explanation:

i) 216,000 cm³ × 1 liter/1000 cm³ = 216 liters

ii) [tex]\sqrt[3]{216,000\ cm^3} =60\ cm[/tex]

In 3x² - x + 5 = 0, what is the quadratic term

Answers

Step-by-step explanation:

Quadratic term = Coefficient of x^2 term = 3.

the answer would be x squared for this equation

help to! this is also due today !

Answers

Answer:

9.

Step-by-step explanation:

The square root of 81 is 9 so therefore the answer is 9.

A farmland is 30cm long and 15cm wild what is the area of the farmland

Answers

Step-by-step explanation:

length(l)= 30cm

Breadth(b)=15cm

Area=l×b

=30×15

=450cm^2

it is 30 then 15 cm long its mean 45 answer

Use inductive reasoning to determine the next three terms in the sequence. 3, -6, 12, -24, 48,

Answers

Answer:

The next three terms in this sequence will be, -96, 192, and -384.

Hope this helped have a blessed day

Step-by-step explanation:

Find x
A) 4
B) 4 root 2
C) 4 root 3
D) 8 root 3

Answers

This triangle is a 30-60-90 triangle, which you can just find by solving for the unknown angle in the triangle, making it a 30-60-90 triangle.

You'll need to memorize the side lengths for these triangles, but the side opposite from the hypotenuse (x in this case), will be half the length of the hypotenuse.

Meaning that [tex]2x=8[/tex]

So [tex]x=4[/tex]

Hope this helps.

頑張って!

sin60=x/8
Sqrt (3/4)=x/8
Sqrt 4= 2
Times each side with 8
x=4sqrt(3)

Hope this can help.

Write an equation to represent each situation. a) Blueberries are $4.99 a pound. Diego buys b pounds of blueberries and pays $14.95. b) Blueberries are $4.99 a pound. Jada buys p pounds of blueberries and pays c dollars. c) Blueberries are d dollars a pound. Lin buys q pounds of blueberries and pays t dollars.

Answers

Answer:

A) $4.99b = $14.95

B) $4.99p = $c

C) $qd = $t

Step-by-step explanation:

A) We are told that cost of blueberries is $4.99 a pound.

Now, Diego buys b pounds of blueberries and pays $14.95.

Since 1 pound costs $4.99, then b pounds will cost $4.99b

Since he paid $14.95, then the equation is;

$4.99b = $14.95

B) We are told that cost of blueberries is $4.99 a pound.

Now, Jada buys p pounds of blueberries and pays $c.

Since 1 pound costs $4.99, then p pounds will cost $4.99p

Since he paid $c, then the equation is;

$4.99p = $c

C) We are told that cost of blueberries is $d a pound.

Now, Lin buys q pounds of blueberries and pays $t.

Since 1 pound costs $d, then q pounds will cost $qd

Since he paid $t, then the equation is;

$qd = $t

Other Questions
The table shown classifies the 35 students in acollege statistics course by year (1st, 2nd, 3rd, 4th)and type of major (Humanities, Sciences, Other). Astudent from this course will be selected at random.What is the probability that the student's major isHumanities? Place the following events in order: Question 18 options: Cortes entering Tenochtitlan Cartier discovering the St. Lawrence River Hudson discovering New York Harbor Cabot discovers the east coast of northern North America Megan purchased a new vehicle for $40,000. She put $5,000 down and financed the $35,000 balance over 5 years. What is the impact of this transaction on her net worth? A student solved the equation 7 = 3(t - 1) - 2(t - 3) as shown below. Assume there is a value for t that satisfies the equation. Provide a justification for each step of the solution process. LaTeX: 7\:=\:3\left(t-1\right)-2\left(t-3\right)7 = 3 ( t 1 ) 2 ( t 3 ) LaTeX: 7\:=\:3t\:-3-2t\:+67 = 3 t 3 2 t + 6 LaTeX: 7\:=\:t\:+37 = t + 3 Justification: ? like termsPLEASE ANSWER!! Describe how the shape moves to get from its position in each frame to the next. A piece of carpet is 360 cm long. Mr. Smith cuts it into three pieces in the ratio 2:3:4. Workout the length of the longest piece of carpet. what is a reactant of photosyntesis A scientific___is a statement that summarizes a pattern found in nature. * 5. Who sent the first email? Bill Gates Steve Jobs Jeff Bezos Ray Tomlinson How do others see technology? how old do you have to have youre lincse? The lines shown below are parallel. If the green line has a slope of -17, what is the slope of the red line? How is owners equity affected when is paid for expenses? Reasons for regulating online hate speech? A problem states: "There are 2 more horses than cows in a field. There are 16 animals in the field in all. How many horses are there in the field?"Let c represent the number of cows.Which equation represents the situation?c + 2 = 162c2=162c + 2 = 162(c+2)=16 jon used 64.6 of fower to make 8 loafs bread. how much flower did he use to make each loaf of bread Why is the Enlightenment an important time period? Well-educated people during the Renaissance learned 48/16 divided by 18/24 easy - lots of points!! For the function f defined by f(x) = 2x^2 3x, evaluate: f(x+3)