The cross-sectional areas of a right pyramid and a right cylinder are congruent. The pyramid has a height of five units, and a right triangle has a height of three units. Which conclusion could be made from the given information

Answers

Answer 1

Answer:

the volume of the right cylinder is 1.8 times the volume of the pyramid

Step-by-step explanation:

The volume of a pyramid is

[tex]V = \dfrac{1}{3} \times B\times H[/tex]

where the height of the pyramid is 5

[tex]V = \dfrac{1}{3} \times B\times 5[/tex]

[tex]V = \dfrac{5}{3} B \ units ^3[/tex]

On the other hand, the volume of a right cylinder is

V = BH

where the height of the right cylinder = 3 units

V = 3 B units³

Since we know that the cross-sectional areas are congruent, comparing the two-volume, we have the ratio of their volumes to be:

[tex]\dfrac{V_p}{V_c}= \dfrac{\dfrac{5}{3}B}{3B}[/tex]

[tex]\dfrac{V_p}{V_c}= \dfrac{5}{9}[/tex]

[tex]9 V_p = 5 V_c[/tex]

[tex]V_c = 1.8 \ V_p[/tex]

Hence, the volume of the right cylinder is 1.8 times the volume of the pyramid


Related Questions

simplify 7 · 2² ÷ 4 ± 12

Answers

I believe the answer is
-5

2(x – 7) = 5x + 4 can someone help me out

Answers

Answer:

x = -6

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

2(x - 7) = 5x + 4

Step 2: Distribute parenthesis

2x - 14 = 5x + 4

Step 3: Subtract 2x on both sides

-14 = 3x + 4

Step 4: Subtract 4 on both sides

-18 = 3x

Step 5: Divide both sides by 3

-6 = x

Step 6: Rewrite

x = -6

Answer:

x=-6

Step-by-step explanation:

2(x-7)= 5x+4

2x - 14 = 5x+4

-2x         -2x

-14 = 3x +4

- 4           -4

-18= 3x

18/3 = 3x/3

6   = x

i hope this helped

24% of a number is what fraction of that number?

Answers

Answer:

6/25

Step-by-step explanation:

24% is just 24/100, then simplify.

Answer:

6/25

Step-by-step explanation:

Write the fraction in simplest form. (the question is confusing because there is no more context given) ​

Answers

Answer:

48/6 ÷ 6/6 = 8/6

8/6 ÷ 2/2 = 4/3

Can someone help me

Answers

Answer:

32

Step-by-step explanation:

62  divided by 2

Answer:BRAINLIEST PLS

x2=64

Step-by-step explanation:

S

x2=64

Step 1: Take square root.

x=±√64

x=8 or x=−8

Answer:

x=8 or x=−8

factoring

x2=64

Step 1: Subtract 64 from both sides.

x2−64=64−64

x2−64=0

Step 2: Factor left side of equation.

(x+8)(x−8)=0

Step 3: Set factors equal to 0.

x+8=0 or x−8=0

x=−8 or x=8

plz help I will mark you brainlist plz help ​

Answers

Answer

1.) 50 mistakes per test

2.) 8 girls per group

3.) 27 pages per hour

4.) $1.30 per banana

5.) $0.50 per pencils

6.) 13 points per game

7.) $1.25 per cup of tea

8.) 65 liters per hour

9.) 25 calls per hour

10.) 35 words per minute

11.) 8 miles per liter of gas

12.) 0.4 eggs per day

13.) $28 per hour

14.) 3.5 miles per hour

Step-by-step explanation:

*Hope this helped*

Answer:

1.50 mistakes per test

2.8 girls per group

3.27 pages per hour

4.$1.30 per banana

5.$0.50 per pencils

6.13 points per game

7.65 liters per hour

8.25 calls per hour

9.35 words per minute

10.8 miles per liter of gas

11.0.4 eggs per day

12.$28 per hour

The graph shows the function representing the recommended amount of mulch, in cubic yards, for circular flowerbeds based on the radius of the flowerbed in feet. If the vertex of the function is at the point (0, 0.5), what is the recommended amount of mulch for a flowerbed with a radius of 20 feet? Round to the nearest tenth if necessary. 7 cubic yards 13 cubic yards 25.5 cubic yards 31 cubic yards

Answers

Answer:

B, 13 cubic yards.

Step-by-step explanation:

You didn't give a graph, but I'm assuming you had the same question as me (I attached the graph that I had). I took the test and got the right answer.

The recommended amount of mulch for a flowerbed with a radius of 20 feet is 13 cubic yards

How to determine the recommended amount of mulch?

The vertex of the graph is given as:

Vertex = (0,0.5)

The equation of the graph is given as:

[tex]y = 0.5 * 1.177^x[/tex]

When the radius is 20 feet, we have:

y = 0.5 * 1.177²⁰

Evaluate

y = 13.02

Approximate

y = 13.0

Hence, the recommended amount of mulch for a flowerbed with a radius of 20 feet is 13 cubic yards

Read more about exponential graphs at:

https://brainly.com/question/11832081

#SPJ5

A new car is available with standard or automatic transmission, two or four doors, and it is available in 10 exterior colors. What is the number of possible outcomes? a.14 b.40 c.44 d.104

Answers

Answer:

40

Step-by-step explanation:

Given that:

Number of options available for transmission = 2 (Standard or Automatic)

Number of options for doors = 2 (2 doors or 4 doors)

Number of exterior colors available = 10

To find:

Total number of outcomes = ?

Solution:

First of all, let us calculate the number of outcomes for the transmission mode and number of doors options.

1. Standard - 2 doors

2. Standard - 4 doors

3. Automatic - 2 doors

4. Automatic - 4 doors

Number of outcomes possible = 4 (which is equal to number of transmission mode available multiplied by number of doors options i.e. 2[tex]\times 2[/tex])

Now, these 4 will be mapped with 10 different exterior colors.

Therefore total number of outcomes possible :

Number of transmission modes [tex]\times[/tex] Number of doors options  [tex]\times[/tex] Number of exterior colors

2 [tex]\times[/tex] 2 [tex]\times[/tex] 10 = 40

The number of possible outcomes of a new car will be 40. Then the correct option is B.

What is a sample?

A sample is a collection of well-defined elements. A sample is represented by a capital letter symbol and the number of elements in the finite sample is shown as a curly bracket {..}.

A new car is available with standard or automatic transmission, two or four doors, and it is available in 10 exterior colors.

Then the number of possible outcomes will be

[tex]\rm Possible \ outcomes = 2*2*10\\\\Possible \ outcomes = 40[/tex]

More about the sample link is given below.

https://brainly.com/question/350477

solve each inequality and graph the solution 18. -0.3x 1/2

Answers

Answer:

iuytredsertykhjghfgdfsds

Step-by-step explanation:

I still don't get how to do this: Solve for t then simplify your answer. -6/5t=9

Answers

Answer:

t= -15/2       or       t= -7.5

Step-by-step explanation:

We are given the equation:

[tex]\frac{-6}{5}t=9[/tex]

and asked to solve for t. Therefore, we must isolate t on one side of the equation.

t is being multiplied by -6/5. The inverse of multiplication is division. We should divided both sides by -6/5, but we are dividing by a fraction. Instead, we can multiply by the reciprocal.

To find the reciprocal, flip the numerator (top number)  and denominator (bottom number).

-6/5 ----> -5/6

Multiply both sides of the equation by -5/6

[tex]\frac{-5}{6} *\frac{-6}{5}t=9 *\frac{-5}{6}[/tex]

[tex]t=9 *\frac{-5}{6}[/tex]

[tex]t=\frac{9}1 *\frac{-5}{6}[/tex]

Multiply across the numerator and denominator.

[tex]t= \frac{9*-5}{1*6}[/tex]

[tex]t=\frac{-45}{6}[/tex]

Simplify the fraction. Both the numerator and denominator can be divided by 3.

[tex]t=\frac{-45/3}{6/3}[/tex]

[tex]t=\frac{-15}{2}[/tex]

[tex]t= -7.5[/tex]

t is equal to -15/2 or -7.5

5.5% of x =19.84
find x​

Answers

Answer: 360.73

Step-by-step explanation:

When you come across any question that says [a of b] is just saying a × b.

5.5% of x=5.5% × x

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

Given

5.5% of x=19.84

Converted into numerical expression

5.5% × x=19.84

Divide both sides by 5.5% (0.055)

x=19.84 ÷ 5.5%

simplify

x=360.73 (rounded)

Answer:

360.7273

Step-by-step explanation:

5.5% of 'x' is 19.84

so, x*5.5/100 = 19.84

or, x*5.5 = 1984

or, x = 1984/5.5

so, x=360.7273(answer)

which is the opposite -5​

Answers

Answer:

5

Step-by-step explanation:

The answer would be 5

Find the missing side. Round to the nearest tenth

Answers

Answer:

            x = 10.0  

Step-by-step explanation:

tan(35°) ≈ 0.7002

from triangle:

tan(35°) = 7/x

so:

    7/x = 0,7002

    7 = 0.7002•x

     x =  7/0.7002 = 9,9971...

      x ≈ 10.0

Write -512 cubed as an integer

Answers

Answer:

-8

Step-by-step explanation:

-8 x -8 x -8 = -512

Answer:

-134217728

Step-by-step explanation:

Which decimal number best describes the fraction O Aterminating decimal 12 83 O A repeating decimal 12.83 ? O Aterminating decimal 12 82 O A repeating decimal 12.82​

Answers

A repeating decimal 12 82? I think

a pice of wood is 96cm long and it is cut in four pices in a ratio 5:6:6:7 how long is the longest pice of wood

Answers

Answer:

5+6+6+7=24

96:24=4

7*4=28cm the longest

The function f(x) = (x - 4)(x - 2) is shown.
What is the range of the function?
O all real numbers less than or equal to 3
O all real numbers less than or equal to -1
O all real numbers greater than or equal to 3
all real numbers greater than or equal to -1


Answers

Answer:

A is the correct answer

I am sure you get it

Giving a brainliest if you help me answer this right

Answers

It’s and irrational

solve for p -5(p + 3/5) = -4

Answers

Answer:

P = 0.2

Step-by-step explanation:

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

Answer:Solution for -5(p+3/5)=-4 equation:

-5(p+3/5)=-4

We move all terms to the left:

-5(p+3/5)-(-4)=0

We add all the numbers together, and all the variables

-5(+p+3/5)-(-4)=0

We add all the numbers together, and all the variables

-5(+p+3/5)+4=0

We multiply parentheses

-5p+4-3/5*5=0

We multiply all the terms by the denominator

-5p*5*5-3+4*5*5=0

We add all the numbers together, and all the variables

-5p*5*5+97=0

Wy multiply elements

-125p*5+97=0

Wy multiply elements

-625p+97=0

We move all terms containing p to the left, all other terms to the right

-625p=-97

p=-97/-625

p=97/625

Step-by-step explanation:

4x+4y+4\ -2x-7+y Simplify the expression.

Answers

Answer:

93

Step-by-step explanation:

Find the range for the graph
Domain:
Range:

Answers

Answer:

Domain: 4

Range: 0

Step-by-step explanation:

The Domain is the first coordinate which is x

The Range is the second coordinate which is y

Hope This Helps :)

Jim was offered a job as a computer programmer making 65K per year. Another company offered Jim a position earning $1,800 a week. What job pays more?

Answers

Answer:

since second company salary, $93,600, is more than first company yearly salary of $65000

Second company pays more

Step-by-step explanation:

To check what job pays more we have to compare yearly salary of both the company offer.

_________________________________________________

Yearly salary from one company = 65k = 65000

Weekly salary from another company = $1800

there are 52 weeks in a year

to get yearly salary , we need to multiply weekly salary with 52.

Yearly salary from another company = Weekly salary*no of wees in a year

Yearly salary from another company = 52*$1800 = $93,600

since second company salary, $93,600, is more than first company yearly salary of $65000

Second company pays more

2x + 4y = 16 2x + 3y = 6

Answers

Answer:

for the first one x=4 and y=2

Classify the following triangle. Check all that apply.

Answers

there’s nothing to answer or any work for people to respond

Answer:

Try screen shotting the whole triangle by  pressing ctrl and the key to the the left of the lower brightness key. or if you have it on paper try taking a picture email it to yourself and save it then upload it. Then we can solve it :D.

Step-by-step explanation:

The square root of 39 is between which two integers?

Answers

Answer:

6 and 7

Step-by-step explanation:

because becaise nevausbwba sba whehyehwgsgegyehahwtaygsheuwyw

8(-5)(-6)(4)=
Pleaseee someone answer this

Answers

Answer:

960

Step-by-step explanation:

8(-5)(-6)(4)

(40)(6)(4)

(240)(4)

=960

Answer:

960

Step-by-step explanation:

[tex]8(-5)(-6)(4)=\\-40(-6)(4)=\\240(4)=\\960[/tex]

Have a nice day :D

plz help I will mark you brainlist plz help ​

Answers

2- 11

3- each hour she gets 8.75

4- .80

5- 3

Answer:

2: 11, 3: $8.75, 4: 1.25 and 5: 12 cups of flour

Explanation: 2: 55÷5=11 , for 3: $350÷40= $8.75, for 4: 5÷$4.00=1.25, and for 5: 24÷2= 12

I hope this is correct

What is the length of the x-component of the vector shown below?​

Answers

Answer:

13.91

Step-by-step explanation:

The question lacks the required diagram. Find the diagram attached.

From the diagram the length of the vector along x component is given as:

Vx = Vcos(theta)

theta is the angle between the vector and the x axis

V is the length of the vector

Given

theta = 22°

V = 15

Substitute the given values into the formula above

Vx = 15cos22°

Vx = 15×0.9272

Vx = 13.91

Hence the length of the x-component of the vector is approximately 13.91

Sophia currently has an account balance of $1,347.11. her initial deposit on the account was $843 and earns 2.3% simple interest. how long has Sophia held the account?

Answers

Answer:

69 years

Step-by-step explanation:

Trust me 69

For Every 5 Minutes that Scarlett Plays on the computer, she plays outside for 12 minutes. whats the ratio of minutes Scarlett olays on the computer to the minutes she plays outside?

Answers

The answer to this is 5:12.
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