An oblique prism has a volume of 144 cubic units. The area of its base is 24 square units.

What is the perpendicular height of the prism?

2 units
4 units
6 units
8 units

Answers

Answer 1

Answer:

6

Step-by-step explanation:

the volume of a prism is always the base times the height this can be written as V = bh

we know the volume is 144 and the base is 24

substitute this into your equation: 144 = 24h

divide both sides by 24 to find h

144 ÷ 24 = 6

so you get h = 6

Answer 2

Assuming an oblique prism has a volume of 144 cubic units. The perpendicular height of the prism is 6 units.

Perpendicular height of the prism

Using this formula

Volume of prism=Base area ×Height

Hence:

144=24×h

h=144/24

h=6 units

Therefore, assuming an oblique prism has a volume of 144 cubic units. The perpendicular height of the prism is 6 units.

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Related Questions

By how much does 5 exceed -4?
(a) 1
(b)-1
(c) 9
(d) -9​

Answers

Answer:

C

Step-by-step explanation:

-4+9=5

Can someone please help me solve these word problems?

Answers

Answer:

7.  39

Jim is 39 years younger.

Guess my rule......

Answers

Answer:

The rule in what is shown to be a graph and a in-out machine is:

y = 2x + 5

Step-by-step explanation:

2(5) + 5 = 15

10 + 5 = 15

15 = 15

TRUE RULE

2(7) + 5 = 19

14 + 5 = 19

19 = 19

TRUE RULE

2(8) + 5 = 21

16 + 5 = 21

21 = 21

TRUE RULE

y = 2x + 5 is your rule!

Answer:

Step-by-step explanation:

y = 2x + 5

Graph the compound inequality on the number line.
x2 and x <8
-10.98
53
12
8 9 10
ILL GIVE BRAINLIEST

Answers

i haven’t done this in a while so i’m sorry if i’m wrong

put your point on 2 and make sure it isn’t open bc it is greater than or equal to (looks like “•”) then you draw your arrow to 8 bc it can’t be greater than that

The length of a rectangle is 5 cm less than three times its width. If the perimeter of the rectangle is 54 cm, find the LENGTH of the rectangle. *

Answers

Answer:

Hi there!

Your answer is

The length is 19

Step-by-step explanation:

L=3w-5

P=54

Perimeter formula

L+L+W+W=P

(3w-5)+(3w-5) +w+w = 54

8w-10=54

+10

8w=64

/8

w=8

Plug in width in Length formula

L=3w-5

L= 3(8)-5

L=19

John Doe, a super-genius student (known also under his nick-name Wile E. Coyote, super-genius) has just graduated from SPEA and found a job that will allow him to purchase a car to finally catch Roadrunner. He can either buy a new car at a cost of $22,000, buy a used car for $12000 or lease a new car for one year at a cost of $8,500 (assume total cash purchase up front, no financing or monthly payments required). The new car has a 20% chance of a serious break down resulting in a permanent impairment to the trade-in value. The trade-in value for the new car without a serious break down after one year is $18,000 but only $10,000 if the break down occurs. On the other hand, the used car has a 40% chance of suffering a major break down with a $8,000 decrease in the resale value. However, if it does not break down, Wile can sell it to a friend one year from now for $9,000 cash (assume he can also sell it to the friend for $4,000 if the breakdown occurs). Finally, the leased car has a 10% chance of breaking down with a repair cost of only $2,000, and if it doesn’t, Wile will not gain or lose anything by returning the car at the end of a one year lease period. NOTE: For the new and used car purchases all related repair costs resulting from a breakdown have been netted against the trade-in / resale value.
a. Construct a decision tree for Wile
b. What is the expected value of the new car?
c. What is the expected value of the used car?
d. What is the expected value of leasing the car?

Answers

Answer: See explanation

Step-by-step explanation:

a. Construct a decision tree for Wile

The solution to the question has been attached.

b. What is the expected value of the new car?

= [(0.2 × $10,000) + (0.8 × $18,000)] - $22,000

= $2000 + $14400 - $22000

= $16400 - $22000

= -$5600

c. What is the expected value of the used car?

= [(0.4 × $4000) + (0.6 ×$9000] - $12000

= $1600 + 5400 - $12000

= $7000 - $12000

= -$5000

d. What is the expected value of leasing the car?

= [(0.1 × -$2000) + (0.9 ×0)] - $8500

= -$200 - $8500

= -$8700

Which of the lines shown is a line of symmetry?

Answers

Line C because it splits evenly in half

. What would be the new coordinates if (-2,-4) is translated 5 units up and
7 units to the left.

Answers

Answer:

(-9, 1)

Step-by-step explanation:

translating UP is to increase on the y axis, so -4+5=1

translating to the LEFT is to subtract on the x axis so-2-7=-9

-9, 1 I think is the correct answer

PLEASE HELP THIS MAKES MY BRAIN HURT

Answers

18x+8+5x-1=122
23x+7=122
23x=115
Answer
X=5

Damario invite friends over for a special dinner. For drinks, he made 32 gallons of lemonade. Each gallon had 16 cups. Each of Damario's 18 friends drank 9 cups of lemonade. How many cups of lemonade does Damario have left?

Answers

the answer is 382 and it’s correct

help me please i’ll give you brainly thingy

Answers

Answer:

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

because 8/10 divided by 1/5 equals 4

the mount of money earned on a jop is directliy propotional to the number of the hours worked.if 70$is earned in 5 hours how much money earned in 22hours of work

Answers

Answer:

$308

Step-by-step explanation:

Easy, find how much is earned in 1 hour. Therefore 70/5 = 14 dollars per hour

and multiply the amount of hours work therefore 14 times 22 = $308

Answer:

308

Step-by-step explanation:

Because if you have 70$ in 5 hours

it means that you have 14$ every hours

so, you have 308$ in 22 hours

22x14=308

Use the maps to select the word or phrase that best completes each sentence. Ancient Egypt differs from modern Egypt mainly in terms of Modern Egypt has more y than ancient Egypt. However, in both ancient Egypt and modern Egypt, most cities were located near the​

Answers

Answer:

Ancient Egypt differs from modern Egypt mainly in terms of ✔ size .

Modern Egypt has more  ✔ territory than ancient Egypt.

However, in both ancient Egypt and modern Egypt, most cities were located near the ✔ Nile River .

            i would really appreciate it if you mark this answer brainlest.

The word or phrase that best completes each sentence are size, territory and Nile River.

What as the ancient Egypt about?

The ancient Egypt was a civilization in northeastern Africa that dates from the 4th millennium BCE and its many achievements were preserved in its art and monuments, hold a fascination that continues to grow as archaeological finds expose its secrets.

Ancient Egypt differs from modern Egypt mainly in terms of size.

Modern Egypt has more territory than ancient Egypt.

However, in both ancient Egypt and modern Egypt, most cities were located near the Nile River.

Learn more about Ancient Egypt here:

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#SPJ2

Mr. Ratchett, an elderly American, was found murdered in his train compartment on the Orient Express at 7 AM. When his body was discovered, the famous detective Hercule Poirot noted that Ratchett had a body temperature of 28 degrees. The body had cooled to a temperature of 27 degrees one hour later. If the normal temperature of a human being is 37 degrees and the air temperature in the train is 22 degrees, estimate the time of Ratchett's death using Newton's Law of Cooling.

Answers

Answer:

Time of Death = 2 : 49 : 45 AM

Step-by-step explanation:

The formula for Newton's Law of Cooling is written as follows:

dT/dt = - K(T - Ts)

where,

dT = change in temperature

dt = time interval

K = cooling constant

T = Final Temperature of object

Ts = Surrounding Temperature

First, we will use the data of cooling of body from 28°C to 27°C to find the cooling constant of the body:

dT = 27°C - 28°C = -1°C

dt = 1 hr = 3600 s

K = ?

T = 27°C

Ts = 22°C

Therefore,

-1 °C/3600 s = - K(27 °C - 22 °C)

K = 1 °C/(3600 s)(5 °C)

K = 5.55 x 10⁻⁵ /s

Now, we use data for cooling of body from 37 °C to 28 °C to find the time of death:

dT = 28°C - 37°C = -5°C

dt = ?

K = 5.55 x 10⁻⁵ /s

T = 28°C

Ts = 22°C

Therefore,

- 5 °C/dt = - (5.55 x 10⁻⁵ /s)(28 °C - 22 °C)

dt = 5 °C/(5.55 x 10⁻⁵ /s)(6 °C)

dt = 1.5 x 10⁴ s

dt = 4.17 h = 4 h 10 min 15 s

Therefor,

Time of Death = 7 : 00 : 00 AM - 4 : 10 : 15

Time of Death = 2 : 49 : 45 AM

A person bikes 2 1/2 miles in 1/8 of an hour how far do they bike in 1 whole hour

Answers

Answer:

The person will bike 20 miles.

Step-by-step explanation:

They will bike 20 miles

What’s 605,000 in scientific notation

Answers

6.05x10^5
This is the answer for what is 605,000 in scientific notation.

Answer:

6.05 × 10∧5

Step-by-step explanation  

make a decimal at the end if the Number. Move the decimal until the lest of it is more than one and less than ten. And since you move the decimal 5 times the five goes over the ten

Find the values of x and y

Answers

Answer:

Corresponding angles are equal

therefore y = 134°

Angles on a straight line add up to 180°

x = 180° - y

x = 180° - 134°

x = 46°

and please I need brainliest

What is the length of segment VS?
O 3 units
11 units
13 units
O 15 units

Answers

From the diagram given, line TR and RV are equal, using the obtained value of x, the value of the segment VS is 15 units

5x - 4 = 2x + 5

5x - 2x = 5 + 4

3x = 9

x = 9/3

x = 3

TS = VS

Hence, VS = 6x - 3

Substitute the value of x to obtain the value of VS :

VS = 6x - 3

VS = 6(3) - 3

VS = 18 - 3

VS = 15 units

Hence, the length of the segment VS is 15 units.

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Answer:

15 units :)

Step-by-step explanation:

3 letters without replacement 4 letters A B C D how many ways can this be done if the order of the choices matters

Answers

Answer:

Since the order of choice matters, we will permute the values.                       a bit more explanation for this:

If the order of choice did NOT matter, ABC and BCA will be counted as one since order of choice does NOT matter

Since order of choice does matter, ABC , BCA and CAB are all different possibilities for the arrangement of the same 3 letters

Since we have 3 slots:

___  ___ ___

Now, for the first slot. You can out either one if the 4 alphabets in the first slot since no slot has been used as of now

So:

_4_ ___ ___

**Keep in mind that the 4 is the possible number of values this slot can have**

Now that one slot has been used, one of the 4 alphabets has been used and since we are not allowed to repeat the same alphabets, we are left with  3 more alphabets

we can put any one of the 3 alphabets in this second slot, Hence:

_4_ _3_ ___

Now that 2 of the 4 alphabets have been used, we are left with only 2 alphabets, so there are only 2 possible alphabets for slot 3

Therefore:

_4_ _3_ _2_

Now that we know the possible alphabets for all 3 slots, we will multiply them with each other to get the total possible number of 3 - alphabet words we can make with 4 alphabets

Total possible words = 4 * 3 * 2

Total possible words = 24

We could've used the formula for Permutation as well

Which equation has the correct sign on the product?
A. 27(-5) = -135
B. (-4)(-4) = -16
C. (-61)(3) = 183
D. 22.4 = -88

Answers

Answer:

A

Step-by-step explanation:

27 x -5 = -135

Answer: A

Step-by-step explanation: Hope I helped you.

7. All of the following are perfect square trinomials EXCEPT one. Which is it?
A. 4x2 + 12xy + 9y2
C. xy2 - 4x2y2 + 4x2y2
B. 9a? - 36a + 36
D. a²b2 + 4a3b + 4a?​

Answers

Answer:

All answers EXCEPT answer C. are perfect square trinomials.

Step-by-step explanation:

A perfect square trinomial is polynomial that satisfies the following condition:

[tex](a+b)^{2} = a^{2}+2\cdot a \cdot b + b^{2}[/tex], [tex]\forall\,a,b\in\mathbb{R}[/tex]

Let prove if each option observe this:

a) [tex]4\cdot x^{2} + 12\cdot x\cdot y + 9\cdot y^{2}[/tex]

1) [tex]4\cdot x^{2} + 12\cdot x\cdot y + 9\cdot y^{2}[/tex] Given

2) [tex](2\cdot x)^{2}+ 2\cdot (2\cdot x)\cdot (3\cdot y)+(3\cdot y)^{2}[/tex] Definition of power/Distributive, associative and commutative properties.

3) [tex]a = 2\cdot x[/tex], [tex]b = 3\cdot y[/tex] Definition of perfect square trinomial/Result.

b) [tex]9\cdot a^{2}-36\cdot a + 36[/tex]

1) [tex]9\cdot a^{2}-36\cdot a + 36[/tex] Given.

2) [tex](3\cdot a)^{2}-2\cdot (3\cdot a)\cdot 6 + 6^{2}[/tex] Definition of power/Distributive, associative and commutative properties.

3) [tex]a = 3\cdot a[/tex], [tex]b = 6[/tex] Definition of perfect square trinomial/Result.

c) [tex]x\cdot y^{2}-4\cdot x^{2}\cdot y^{2}+4\cdot x^{2}\cdot y^{2}[/tex]

1) [tex]x\cdot y^{2}-4\cdot x^{2}\cdot y^{2}+4\cdot x^{2}\cdot y^{2}[/tex] Given

2) [tex]x\cdot y\cdot (1-4\cdot x+4\cdot x)[/tex] Distributive property.

3) [tex]x\cdot y \cdot 1[/tex] Existence of the additive inverse/Modulative property.

4) [tex]x\cdot y[/tex] Modulative property/Result.

d) [tex]a^{2}\cdot b^{2}+4\cdot a^{3}\cdot b + 4\cdot a^{4}[/tex]

1) [tex]a^{2}\cdot b^{2}+4\cdot a^{3}\cdot b + 4\cdot a^{4}[/tex] Given

2) [tex](a\cdot b)^{2}+2\cdot (a\cdot b)\cdot (2\cdot a^{2})+(2\cdot a^{2})[/tex] Definition of power/Distributive, associative and commutative properties.

3) [tex]a = a\cdot b[/tex], [tex]b = 2\cdot a^{2}[/tex] Definition of perfect square trinomial.

All answers EXCEPT answer C. are perfect square trinomials.

2x-3y=-12 solve for y

Answers

Answer:

y intercept is 4

Step-by-step explanation:

Find the midpoint of the segment with the given endpoints.
(-4,-9) and (-2,1)

Answers

Answer:

it is -2,1 I really hope that helps

Find the cube root three into 125a6

Answers

25a^3 is the answer i think

Answer:

✅ 5a²

Down Below is from Edge 2020

The perimeter of a greeting card is 74 centimeters. The greeting card is 22 centimeters tall. How wide is it?

Answers

Answer:

15cm

Step-by-step explanation:

the width is xcm

22 + 22 + 2x = 74

44 + 2x = 74

2x = 30

x = 15

the width is 15cm

Which of the following is the correct factorization of 7x2-36x+5

Answers

i assume you mean 7x^2-36x+5?
then the answer should be (7x-1)(x-5)

Jamie’s string is 10 ft 1 in. long. Emma’s string is 6 ft 4 in. long. How much longer is Jamie’s string

Answers

Answer:

3 ft 9 in

Step-by-step explanation:

Help anyone ??????!!!!!! Plz

Answers

Answer:

n = 12

Step-by-step explanation:

You first write it out as in equation and get 3n-7=2n+5

You then do addition property of equality to add 7 on both sides, and gets 3n=2n+12

Then you subtract 2n from both sides to get

n=12

Hope this helps!

21+5f=61 hnhnuihnh hun h

Answers

Answer:

f=8

Step-by-step explanation:

21+(5 times 8=40) = 61


Find g(h(x))
f(x) = 4x – 6
g(x) = 5/3x + 1
h (x) = -12x^2 - 6x

Answers

Answer:

g(h(x))

Step-by-step explanation:

g(h(x))=

[tex](5 \div 3)( (- 12) {x}^{2} - 6x) + 1 = \\ (5 \times( - 12) {x}^{2} ) \div 3 - (5 \times 6x) \div 3 + 1 = \\ (5 \times (- 4) {x}^{2} ) -( 5 \times 3x) + 1 = \\ - 20 {x}^{2} - 15x + 1[/tex]

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