The volume of a square prism is 192 in. If the height of the prism is three times the length of the base, what is the height of the prism?

Answers

Answer 1
Definition: Volume=Length * Width * Height

Using: Volume=v, Length=l, Width=w, Height=h

Given: v=192, l=8, w=6

Task: solve for Height

We write:

initial: v=l*w*h

symmetric inversion: l*w*h=v

solve for h: h=v/(l*w)

substitute givens: h=192/(8*6)

simplify arithmetic: h=192/48

evaluate arithmetic: h=4

solution: Height = 4
Answer 2

Answer:

what are the other dimensions ?

Step-by-step explanation:


Related Questions

what’s the value of x
a. 25°
b. 50°
c. 55°
d. 75°
e. 80°

Answers

Answer:

7 × 5 × 8 + 25% of 996 (a) 25 (b) 13 (d) 17 (e) 23 70. ... If maximum marks for each subject are 100 then find what percentage of total marks ... Then find the value of X ? (a) 6 months (b) 9 months (c) 8 months (d) 7 months (e) 10 months 79. ... Maths Paul 75 65 90 55 Aditya 70 85 60 Neeraj 80 50 85 95 Sandy 55 65 70 65 71.

Step-by-step explanation:

Determine whether the Law of Cosines or the Law of Sines is needed to solve the triangle a = 11, b = 13, c = 7

Answers

Answer:

Step-by-step explanation:

Use the Law of Cosines:

c^2 = a^2 + b^2 - 2ab*cos C becomes

7^2 = 11^2 + 13^2 - 2(11)(13)cos C.

Once you have cos C, and then side c, you can use the Law of Sines to find the other two interior angles.

Brainlytest!!! Easy!

Answers

Answer: 20% does chores but don't get allowance (me)

Step-by-step explanation: 5 is 20% of 25.

Answer:

20%

Step-by-step explanation:

5 is 20% of 25

Use your understandinh of rational functiosn to answer the followinh wuestions about the relationship of concert profit

Answers

Question:

Use your understanding of rational functions to answer the following question about the relationship of concert profit P(x)=-25x^2+875x-4750 to concert operating expenses c(x)=4750-125x.

Write an algebraic rule for the function T(x), which gives the ratio of profit to operating expenses, that is, the number of dollars earned for every dollar spent by the concert promoters.

Answer:

[tex]T(x) = \frac{x^2-35x+190}{5x-190}[/tex]

Step-by-step explanation:

Given

[tex]P(x)=-25x^2+875x-4750[/tex] --- concert profit

[tex]c(x)=4750-125x.[/tex] --- concert operating exercise

Solving (a): An expression for T(x)

T(x) is the ratio of P(x) to c(x)

So:

[tex]T(x) = \frac{P(x)}{c(x)}[/tex]

[tex]T(x) = \frac{-25x^2+875x-4750}{4750-125x}[/tex]

Factorize

[tex]T(x) = \frac{-25(x^2-35x+190)}{-25(-190+5x)}[/tex]

[tex]T(x) = \frac{x^2-35x+190}{-190+5x}[/tex]

Rewrite as:

[tex]T(x) = \frac{x^2-35x+190}{5x-190}[/tex]

Find X, Y, Z,
(I believe X is 12?)

Answers

Answer:

x = 12    y = 24     z = 12[tex]\sqrt{3}[/tex]

Step-by-step explanation:

you are correct.  x = 12

The dotted line has a length of 12 also

The dotted line is the shorter leg of the 30-60-90 triangle.

So, z = 12[tex]\sqrt{3}[/tex] and y = 24

In January, Mrs Jones's business had spent $480 on raw materials. Based on the information in graph, how much money was spent on expenses in March?

Answers

Answer:

There is no graph

Step-by-step explanation:

PLEASE HELP!! I WILL GIVE BRAINLIEST!!

A rubber ball is dropped from 60 ft. high and bounces 5/6 as high on each bounce. What is the vertical distance it has traveled by the 4 ^ (th) bounce?

Answers

Answer:

28.9351851852

Step-by-step explanation:

You have a bag that contains 7 red marbles and 5 blue marbles. You randomly choose one of the marbles. Without replacing the first marble, you choose a second marble. Find the probability of these dependent events. Simplify as needed. Choosing a red marble and then a blue marble​

Answers

Answer:

Step-by-step explanation:

12 marbles in total. The possibility of pulling out a red marble is going to be 7/12. Since you would then take the marble out, you'll have 11 marbles left. After that, it'll be 5/11.

HELPPPPPPPPPPP
1. Shown are the final scores for Norm Duke in the past eight bowling tournaments.
299, 281, 285, 269, 280, 269, 286, 287

Part A: What is the mean absolute deviation of Norm Duke’s scores?

A.
7.50

B.
7.00

C.
7.25

D.
6.75

Part B: Based on the mean absolute deviation from Part A, who has been the more consistent bowler if Ryan Shafer has a mean absolute deviation of 7?

A.
Norm Duke has been more consistent because his mean absolute deviation is greater than Ryan Shafer’s.

B.
Ryan Shafer has been more consistent because his mean absolute deviation is less than Norm Duke’s.

C.
Ryan Shafer has been more consistent because his mean absolute deviation is greater than Norm Duke’s.

D.
Norm Duke has been more consistent because his mean absolute deviation is less than Ryan Shafer’s.

Answers

Answer:

Part A

C. 7.25

Part B

B. Ryan Shafer has been more consistent because his mean absolute deviation is less than Norm Duke’s.

Step-by-step explanation:

Given data:

299, 281, 285, 269, 280, 269, 286, 287Part A

Find the mean of the data above:

(299 + 281 + 285 + 269 + 280 + 269 + 286 + 287)/8 = 282

Find absolute deviations, an absolute value of the difference of data and the mean:

299 - 282 = 17 ⇒ 17 281 - 282 = -1 ⇒ 1285 - 282 = 3 ⇒ 3269 - 282 = -13 ⇒ 13280 - 282 = 2 ⇒ 2269 - 282 = -13 ⇒ 13286 - 282 = 4 ⇒ 4287 - 282 = 5  ⇒ 5

Find mean absolute deviation:

(17 + 1 + 3 + 13 + 2 + 13 + 4 + 5)/8 = 7.25

Correct choice is C

Part B

Less mean absolute deviation is the sign of more consistent data.

Since Ryan Shafer has smaller mean absolute deviation, he has been more consistent 7 < 7.25

Correct choice is B.

Please Help me with the questions in the picture

Answers

Answer:

Dave and Anna:

1. Income highlight:

combined take home pay of $900/week

Total income: 4(900) - because 4 weeks in most months = $3600

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

2. Expense highlights:

bi-weekly mortgage of $675

property taxes of $1800

Car expenses $160

Car insurance: $128

House insurance: $35

Saving for kids: $200

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

Expense calculations:

Mortgage bi-weekly = 675 x 2 = $1350/month

Property taxes = 1800/12 months/year = 150/month

everything else is already monthly

1350 + 150 + 160 + 128 + 35 + 200 = 2,023

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

income - expenses

$3600 - 2023 = $1,577 surplus

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

Jacob:

Income highlights:

Canada Pension Plan $848/month

Old Age Security: $484/month

Total income: $1332

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

Expense highlights:

property tax: $3000/yr = $250/month

burial expenses: $100/month (for 6 more months)

golfing: $500/year = $41.67/month

bowling: $100/year = $8.33/month

Total expenses: 250 + 100 + 41.67 + 8.33 = 400

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

Income - expenses:

1332 - 400 = $932 surplus

a) Complete the table of values for
y = x^2–2x + 5

Answers

Answer:

(-2, 13)

(-1, 8)

(1, 4)

(3, 8)

Step-by-step explanation:

plug in the x values into the given equation to get the y values you need

hope this helps :)

number 2 and number 3

Answers

The correct answer for 2 is the third choice and 3 is the second one

Does anyone know how to do this
a1=9
a_n= a_n-1 -4

Answers

No sorry I hope you figure it out tho
No hope you figure it out tho

Sandra buys stamps that cost $0.65 each. She spends a total of $158.60 on the stamps. To determine how many stamps she buys, she needs to divide $158.60 by $0.65.

How many stamps does Sandra buy?

Answers

Answer:

1 Stamp = $0.65

Stamps Bought= $158.60/0.65

=244 Stamps

pls help to solve this ​

Answers

Answer:

[tex] \underline{ \underline{ \large{ \pink{ \tt{E \: X \: P \: L \: A \: N \: A \: T \: I \: O \: N}}} }}: [/tex]

✧ We know , Reflection of a point on x - axis remains the x - co-ordinate same but the sign of y - coordinate changes i.e P ( x , y ) ⇢ P' ( x , - y ). So, the image of the point ( 8 , 10 ) under the reflection on x - axis is :

A ( 8 , 10 ) A' ( 8 , -10 )

☄ Hope I helped! ♡

☃ Have a wonderful day/ night ! ♨

[tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{:}\ [/tex]

now

we have

P(x,y)⇢reflection under x axis⇢P'(x,-y)

P(8,10)⇢reflection under x axis⇢P'(8,-10)

for point (8,10) image is:(8,-10).

HELPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEE

Answers

Answer:

62 degrees

Step-by-step explanation:

HJ is a line which means its 180 degrees if HIL is 118 degrees then LIJ is 62 degrees and due to the lines being parallel then MLN is also 62 degrees

So, we know that ∠HIL = 118, and we also know that a line is 180 degrees. This means that ∠HIL +∠JIL = 180. We can use simple arithmetic and substitution to find that 180-118= 62, so ∠JIL = 62.

We have another line, Line N, so we know that the line is equal to 180 as well! Because ∠JIL and ∠ILM are both on this line, ∠JIL +∠ILM = 180. ∠JIL = 62, so 180 - 62 = 118.

Lastly, Line N is still equal to 180, so ∠ILM + ∠MLN = 180. In this case, we have 180-118=62, so ∠MLN = 62.

Or, using theorems, there is an easier way to do this.

The corresponding angles theorem tells us that "If a transversal intersects two parallel lines, the corresponding angles are congruent." So, we can see that both ∠MLN and ∠JIL are corresponding so they are congruent. First, however, we need to find ∠JIL, and if we look at our work from above, we see that ∠JIL = 62. Since ∠JIL and ∠MLN are congruent, or the same, ∠MLN is also 62.

:)

The Flying Dutchman, located in St. Martin, is the steepest zipline in the world. While sailing downhill at 56 miles per hour, you lose 1,050 feet of elevation across 2,800 feet of cable. If you are at the top getting strapped in, what is the angle of depression between you and a safe landing at the bottom? (Drawing a diagram may help.)

Answers

Answer:

Sine angle A = 1,050 / 2,800

Sine angle A = .375

arc sine (.375) = Angle A

Angle A = 22.024 Degrees

(THIS REPLACES THE PREVIOUS ANSWER.)

Step-by-step explanation:

If 3 is 1/4 what is the whole? (Division)

Answers

Answer:

12

Step-by-step explanation:

12 divided by 4 is 3 or 12 split into 4 even parts is 3

3. 3 3. 3

1/4. 1/4 1/4. 1/4

i need help please hurrrrry

Answers

I would say (cannot) would be my answer I don’t know how to explain it

Answer:

the meaning of ha

Step-by-step explanation:

jshaisnakanjnds

Somebody please give me the answer (AND DO NOT GIVE ME A DOWNLOAD LINK. I AM NOT RISKING MY COMPUTER FOR JUST A MATH QUESTION.). Give me the shortest answer and a step-by-step explanation.

Answers

Answer:

yea i know bitly is a scam

Step-by-step explanation:

5x +3=8 i need the value of x​

Answers

Answer: x=1

Step-by-step explanation:

5x+3-3=8-3

5x=5

5x/5x=5/5x

x=1

Need help with 9th-grade math. Algebra 1

A ball is thrown in the air. The path of the ball is represented by the equation h=-t^2+8t, where t represents time in seconds and h represents the height of the ball in meters.

What is the maximum height of the ball?

How long is the ball in the air for before it hits the ground?

Answers

Answer:

a) 16 meters ; b) 8 seconds

Step-by-step explanation:

The function can be represent with a parabola whose vertex is its maximum point

for answer the first question we have to find the y of the vertex

first of all we have to find the x

Vertex (x) = -b/2a = -8/-2 = 4

if we substitute t with 4, we can find the y

Vertex (y) = -(4^2) + (8*4) =

= -16 + 32 = 16

so the answer is 16 meters

for answer the second question we have to find where the parabola intercepts the x axis, that means solve the associated equation:

-t^2 + 8t = 0

t^2-8t = 0

t(t-8) = 0

t = 0

t = 8

the parabola intercept the x axis in (0,0) and in (8,0)

if we find the distance between this two points we can answer to the question

8-0 = 8 seconds

Answer:

y are you ga

Step-by-step explanation:

PLEASE HELP WILL GIVE BRAINLIEST!!!
There are 35 rows in an auditorium. The first row has 38 seats. Each row after that has three more seats than the previous row.
a) write an explicit formula that represents the number of seats in one of the rows.

b) How many seats are in row 25?

c) How many total seats are in the auditorium?

Answers

Answer:

b

please correct if wrong

Step-by-step explanation:

Helllllllpppppp ASAP

Answers

answer is b. 105 degrees

explanation:
a straight line is 180 degrees.
35+40=75
180-75=105

Answer:

D.B

Step-by-step explanation

40+35= 75+105= 180

(edited)


Help me find length of missing side

Answers

Answer:

x=20.26

Step-by-step explanation:

tan40°=17/x

x=17/tan40°

x=20.25981107 or 20.26

A biologist was sitting near a pond and noticed a large number of dragonflies. He also saw both frogs and fish trying to eat the
dragonflies. He counted a total of 89 fish, frogs, and dragonflies. He noticed that there were four times as many dragonflies as fish and
that the frogs were five more than twice the number of fish

Answers

89 /3

frogs = 29.6

fish =  29.6

dragonflies =  29.6

all of them equal 89

Guessing you need to know how many of each animal there are

a = fish = 12
b = frog = 29
c = dragonflies = 48

a + b + c = 89

c = 4a (four times as many dragonflies as fish)
b = 2a + 5 (frogs were five more than twice the number of fish)

Then substitute for b and c in the big equation:

a + (2a + 5) + 4a = 89
Combine like terms:
7a + 5 = 89
Subtract 5 from both sides:
7a = 84
Divide both sides by 7:
a = 12

Now use this to solve for b and c

c = 4(12) = 48

b = 2(12) + 5 = 24 + 5 = 29

Please let me know if you have any questions.

A. Zara is learning about surface area and volume in math class. She begins to notice that she can apply this geometry in everyday life. When her mom makes a jelly sandwich for her lunch, Zara notices it is similar to a rectangular prism and decides to measure its dimensions. She measures the length as 13 cm, the width as 10.8 cm, and the height as 3 cm, as shown below. What is the volume of Zara's sandwich? Show your work.

B. What is the surface area of Zara's sandwich? Show your work.

C. Zara cuts her sandwich in half down the middle, dividing it into two equal pieces. She then stacks one half of the sandwich on top of the other, as shown below.​

Answers

hi, i don’t know the answer i just wanted to inform you that that persons link is fake. i tried it and even saw it on so many questions. sorry i couldn’t help:(

The gym teacher uses 3/5of his kickballs in class. Half of the remaining balls are given to students for recess. What fraction of all the kickballs is given to students for recess?

Answers

if the gym teacher used 3/5 then the half ago the balls are given to students then it’s 1/3

What number must be divided by 15 3/4 so that the quotient is 60?

Answers

The answer is 945

If we take 15.75*60=945

Let’s check our answer

945/15.75=60

Hope it helps

At Super Grocery, strawberries cost $3.00 for 2 pounds. At Value Market, strawberries cost $4.00 for 3 pounds. Which store has a better value for strawberries?

Answers

Answer: Value Market has the better  value for strawberries

Step-by-step explanation: Value Market sells them for 1.3 for 1 pound.

Answer: Uhhhhh

Step-by-step explanation:

Value market has a better value

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