A square pyramid is placed inside a cube having a volume of 729 in3. The pyramid has the same height as the cube and the base of the pyramid is one face of the cube. Which is the ratio of the volume of the pyramid to the volume of the cube?
a 1/9
b 1/2
c 1/3
d 2/3

Answers

Answer 1
I really don’t know but I hope you find the correct answer
Answer 2

Answer:

1/3

Step-by-step explanation:

pyramid height = cube height , a = h (GIVEN)

\(so, v= \frac{1}{3} * a^{2} * h = \frac{1}{3} * a^{3}\\a = \sqrt[3]{3v} = \sqrt[3]{3*729} = 13 in\\\\cube volume = a^{3} = 13^{3} = 2187 in^{3} \\\\ratio = \frac{729}{2187}= \frac{1}{3} (ANS)\)


Related Questions

Two tangents
Help please

Two tangents Help please

Answers

The Two-Tangent Theorem states that if two tangent segments are drawn to one circle from the same external point, then they are congruent

how to solve 6r - 1 + 6r =11

Answers

Answer:

r = 1

Step-by-step explanation:

The equation is,

→ 6r - 1 + 6r = 11

Now the value of r will be,

→ 6r - 1 + 6r = 11

→ 12r = 11 + 1

→ r = 12/12

→ [ r = 1 ]

Hence, the value of r is 1.

Answer:

The answer is 1 r is equal to 1

Step-by-step explanation:

Prove Triangle ABC cogruent to HGF

Prove Triangle ABC cogruent to HGF

Answers

Answer:

Yes it is congruent because it does not corresponds

the answer is yes hope this helps

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. A line segment ACD is shown with triangle ABC drawn so that AC is the base of the triangle. Angle BAC is labeled with 72 degree sign, and angle BCD is labeled with 113 degree sign. Write a list of steps that are needed to find the measure of ∠ B . Please help soon!!

Answers

Answer: Sorry I didn't answer sooner!

Step-by-step explanation:

Firstly, you need to know what all angles of a triangle add up to.  It doesn't matter what kind of triangle it is, all triangle angles add up to 180 degrees.  The first thing you would want to do is add 72 to 113.  Then subtract your answer from 180, 180 - __ =?  By doing this you will find the measure of angle B.  Hope this helps!

I need help with this question, I'm not very good at math and all help is appreciated!

I need help with this question, I'm not very good at math and all help is appreciated!

Answers

Answer:

A

Step-by-step explanation:

We can solve for H by isolating it on one side of the equation, as follows:

J/H - I/H = G

Taking H as the common denominator:

(J - I)/H = G

Multiplying both sides by H:

J - I = GH

Adding I to both sides:

J = GH + I

Dividing both sides by G:

H = (J - I)/G

So the answer is

(A)

H = (J - I)/G.

Answer:   A

Step-by-step explanation:

\(\frac{J}{H} = G + \frac{I}{H}\)                >Since you are solving for H bring I/H to the other side

                                   by subtracting I/H from both sides

\(\frac{J}{H}- \frac{I}{H} = G\)               >There is a common denominator so you can

                                   combine the fractions

\(\frac{J-I}{H} = G\)                   >Multiply both sides by H or cross multiply whichever

                                  way your mind things about how to get H on top

\(J-I = G(H)\)           >Divide both sides by G

\(\frac{J-I}{G} = H\)                   >Answer is A

58+0=58 is the property of what?

Answers

Its additive identity. Additive identity means that if you add zero to any number, the number will stay the number itself only.
Addiction because it’s adding

8(5-2x)=24

Solve x. Pls show working

Answers

distribute the terms

-16x+40=24

subtract 40 from both sides

-16x - -16

divide both by 16

x = 1

First multiply 8 times 5 and 8 times -2x since 5 and to -2x our in the parentheses. Now you have 40-16x=24. Subtract 40 from both sides to get -16x=-16. Finally divide both sides by negative 16 to get x alone. The answer is x=1. Remember that whatever you do on one side you must do to the other side.

Without using a calculator, convert the fraction to a decimal.
2/4=?

Answers

Divide 2 into 4,

So .50

To convert the fraction 2/4 to a decimal, we can perform the division 2 divided by 4 using long division or mental math.

2 ÷ 4 = 0.5

Therefore, 2/4 as a decimal is 0.5.

*****100 POINTS****** please help me with this area of a circle question.

*****100 POINTS****** please help me with this area of a circle question.

Answers

Answer: 12 cm

Step-by-step explanation: In order to do this, you have to know that the formula for the area of a circle is pir^2. Pi times the radius squared is equal to 36 pi. Well, 6 squared is 36, and 36 times pi is 36 pi. So that means that the radius is 6. Then, the radius is half the diameter, so the diameter is 12.

Its B all you really have to do is get the square and divide it by 3 to get 12 so your diameter is 12. Please rate! :)

20 points to whoever gets these right!! <3

20 points to whoever gets these right!! &lt;3
20 points to whoever gets these right!! &lt;3

Answers

Answer:

1st one 8/20

Step-by-step explanation:

Last one is the two way tables it should be 6/8

Help!!
Use the diagram of the equilateral triangle shown below to answer the following questions. Show the work that leads to your answers. a. What is the perimeter of the triangle? b. What is the height, ℎ mm, of the equilateral triangle? Write an exact answer using a square root and an approximate answer rounded to the tenths place.

Help!!Use the diagram of the equilateral triangle shown below to answer the following questions. Show

Answers

Answer:

Perimeter is 12mm, height is \(2\sqrt3\)mm in simplest radical form, and 3.5mm in approximate decimal form.

Step-by-step explanation:

The perimeter is easy; since it's an equilateral triangle, all sides are the same length of 4, so you can just do 3*4 (3 sides, 4mm each) to get a perimeter of 12.

For the height, you can see that it forms two right triangles, each with a given base of 2 and a hypotenuse of 4. We can apply the pythagorean theorem (\(a^2+b^2=c^2\)) here to find the missing leg length of the smaller right triangles, which is equal to the big triangle's height.

I've enclosed an attachment for that.

Hope this helps!

Help!!Use the diagram of the equilateral triangle shown below to answer the following questions. Show

The weights of 3 puppies at one week old were 6.5​ ounces, 7.3​ ounces, and 6.4 ounces. If each puppy gained 2.1​ ounces, how much would the puppies​ weigh?

Answers

6.5+2.1=8.6
7.3+2.1=9.4
6.4+2.1=8.5
1. 6.5+2.1=8.6
2. 7.3+2.1=9.4
3. 6.4+2.1=8.5

.02x + .02 = .08 solve for x

Answers

Answer:

x = 3

Step-by-step explanation:

.02x + .02 = .08 solve for x

0.02x + 0.02 = 0.08

0.02x = 0.08 - 0.02

0.02x = 0.06

x = 0.06 : 0.02

x = 3

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

check

0.02 * 3 + 0.02 = 0.08

0.06 = 0.08 - 0.02

0.06 = 0.06

The answer is good

answer:

x = 3

hope this helps you :)
.02x + .02 = .08 solve for x

Efia draws this scale drawing a two famous landmarks each inch in the drawing represents 400 ft on the actual landmark how much taller the actual Eiffel tower than the action space Needle? Show your work

Efia draws this scale drawing a two famous landmarks each inch in the drawing represents 400 ft on the

Answers

Space needle is around 600!

Sheena worked 50 hours this week. So far she has completed 25% of her hours. How many hours has Sheena worked?
A. 11.5
B. 12.5
C. 13.5
D. 14.5

Answers

Answer:

12.5 or B

Step-by-step explanation:

12.5 times 4 is 50. Since 25% one fourth, I timesed every option by 4 until one equaled 50.

the correct answer is b.) 12.5
12.5 x 4 = 50

write the equation for this line

write the equation for this line

Answers

Answer:

y = 4x + 3

Step-by-step explanation:

Given that the measure of angle ABC is 70 degrees find the measure of angle BED.

Given that the measure of angle ABC is 70 degrees find the measure of angle BED.

Answers

Answer:

110 degrees

Step-by-step explanation:

ABL + ABC = 180

BED + ABC = 180 ( BED = ABL )

BED = 180 - ABC = 180 - 70 = 110

The answer would be 110 degrees

i need help pls help

i need help pls help

Answers

x is 5 cus in right triangle if it is 30* the ab^2=ac^2+cb^2 x was ab/2

Answer:

x is 5 

Step-by-step explanation:

I don't quite get what it is asking please help me.

I don't quite get what it is asking please help me.

Answers

Complementary angles are two angles whose sum is 90 degrees. In this problem, we're given that the angles are 2x + 20 and 3x + 40, and we know that their sum is 90 degrees. So we can set up an equation:

2x + 20 + 3x + 40 = 90

Simplifying the left side of the equation by combining like terms, we get:

5x + 60 = 90

Subtracting 60 from both sides of the equation, we get:

5x = 30

Finally, dividing both sides of the equation by 5, we get:

x = 6

Therefore, the value of x is 6.

Answer:

Step-by-step explanation:

COMPLEMENTARY ANGLES ARE THE ANGLES THAT SUM EQUALS TO 90°.

∴ 5X+60°=90°

     5X=30° ⇒X=6°

Max says that the product of 2/3 x 3/8 is greater than 3/8. Is Max correct?

Answers

Answer:

2/3*3/8=6/24 = 1/4

1/4 is lesser than 3/8. Max is wrong.

Step-by-step explanation:

Answer:

2/3 * 3/8 = 1/4= 0.25

Step-by-step explanation:

Part A: Use ratio language to describe the relationship of any two things you can think of.

Example: For every 5 minutes of jogging, I ran 500 yards.

Be creative and come up with your own idea.

Part B: Determine the unit rate in your example.

My example: For every 20 minutes i can read 7 pages

Answers

Ratio Language

First you need to know what this means... example "For every vote candidate A received, candidate B gets five votes." this would be shown as 1:5

The example here in the problem is 5 minutes for 500 yards as 5:500

__
For your example the 20 minutes and 7 pages, 20:7 pages your unit rate would be 2.85714286 minutes you read one page, or rounded to the tenths 2.86 minutes you read a page

Part A: Another example can be “ For every 10 minutes, Mia ate 2 pieces of cake.”

Part B: 20 minutes for 7 pages equals about 2 minutes for 1 page

What is the number, in cubic inches of the original box?

What is the number, in cubic inches of the original box?

Answers

The volume of the original box is given as

V = lwh

V = 10(6)(3)

V = 180 in³

180 inches that’s the answer your welcome

SOMEBODY HELP ME WITH MY GEOMETRY PLS

SOMEBODY HELP ME WITH MY GEOMETRY PLS

Answers

Answer:

1 = 31°

2 = 51°

3 = 51°

4 = 67°

Step-by-step explanation:

1 is 31° because it alternates with the angle labelled 31°.

2 is 51° because it is in the same triangle as 1 and we know that the angle at the intersection of the diagonals are 90° and the sum of angles in a triangle is 180°.

3 is 51° because it alternates with the angle 2.

Under his cell phone plan, Alexander pays a flat cost of $69.50 per month and $5 per gigabyte. He wants to keep his bill under $85 per month. Write and solve an inequality which can be used to determine gg, the number of gigabytes Alexander can use while staying within his budget.
I don't know how to write inequality

69.50 dollars + 5 dollars is 74.50 dollars add 5 dollars 79.50 add 5 dollars again and 84.50

Answers

Answer- 5g+ 69.50= 85  ; 3.1 (3)

An inequality is an equation with letters and number that sum to ONE whole.

In this case we have a flat cost, which is standalone and 5 dollars per gigabyte which is not standalone. Let G stand for each gigabyte.

This means our equation is 5g(five dollars times each gigabyte used) +69.50 that is gives. He has to keep his entire month under 85 dollars, which means our equation must equal 85. Now our equation will look like this.

Inequality- 5g+ 69.50= 85.

In order to solve how many gigabytes will be used we solve our equation backwards. We subtract 69.50 from 85,because we know that must has already been spent. This gives us 15.50. This means we will have to divided 15.50 into five dollars to see how many gigabytes are spent. 15.50 divided into five is 3.1 gigabytes.

This means Alexander will have to use 3.1 (or 3 if you have to round) gigabytes in order to spend 85 dollars or less per month.

69.50+5x>_85
69.50+5(3)>_85
84.50>_85

Which list orders the numbers from least to greatest?

Negative 2.4, negative 1.5, negative 2 and one-fourth, negative 3, negative 1 and one-eighth

A number line going from negative 4 to positive 4.
Negative 1 and one-eighth, negative 1.5, negative 2 and one-fourth, negative 2.4, negative 3
Negative 3, negative 2.4, negative 2 and one-fourth, negative 1.5, negative 1 and one-eighth
Negative 3, negative 2 and one-fourth, negative 2.4, negative 1 and one-eighth, negative 1.5
Negative 1.5, negative 1 and one-eighth, negative 2.4, negative 2 and one-fourth, negative 3

Answers

Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth


Hope my answer helps you✌️

Negative 3, negative 2 and one-fourth, negative 2.4, negative 1 and one-eighth, negative 1.5 is the list that orders the numbers from least to greatest.

Gary’s pay is $15 per hour. He receives a 6% pay raise. Did her pay increase by the same percent amount as Gary’s? Explain.

Answers

15x6% and then add that to 15
And that’s your answer
15X 6% and than add that to 15 I think

In the course of a short race, a car does 50,000 J of work in 7 s. What is the power of the car during the race? (round to the nearest whole number)

Answers

Answer:

Work done is the product of distance and force, it is measured in joules.

Power is the rate of work done given by dividing the work done by time

Power (watts)= workdone (J)/ time (s)

                     = 50,000J/7 sec

                     = 7142.857 watts

Therefore, the power of the car during the race was 7142.857 watts

Step-by-step explanation:

Think about all the decimals that would come between 7.8 and 7.9 on a numberline...

What does the green point represent as a decimal on a numberline?

Decimals on the number line: hundredths (practice) | Khan Academy

a
7.81
b
7.85
c
7.87
d
7.88

Think about all the decimals that would come between 7.8 and 7.9 on a numberline...What does the green

Answers

Answer:

The answer is d

Step-by-step explanation:

Thr others would be further from the 7.9

If the relationships below are given in the form (input, output), which pairing always describes a function? (a person’s age in years, that same person’s height in inches) (a person’s weight in pounds, that same person’s height in inches) (a person’s height in centimeters, that same person’s height in inches) (a person’s telephone number, that same person’s height in inches)

Answers

Answer:

A function is a mathematical relation in which each input (domain value) is associated with exactly one output (range value). In other words, for a relation to be a function, each input can have only one corresponding output. Let's analyze the given pairings:

(a person’s age in years, that same person’s height in inches) - This can be a function because one person's age in years should correspond to a single height in inches.

(a person’s weight in pounds, that same person’s height in inches) - This can also be a function because one person's weight in pounds should correspond to a single height in inches.

(a person’s height in centimeters, that same person’s height in inches) - This can be a function because one person's height in centimeters should correspond to a single height in inches.

(a person’s telephone number, that same person’s height in inches) - This may not necessarily be a function. It's possible for two different people to have the same height in inches but different telephone numbers.

So, the pairings that always describe a function are:

(a person’s age in years, that same person’s height in inches)

(a person’s weight in pounds, that same person’s height in inches)

(a person’s height in centimeters, that same person’s height in inches)

These three pairings meet the criteria of a function, where each input corresponds to a unique output.

The pairing that always describes a function is option C. (a person’s height in centimeters, that same person’s height in inches)

How did we arrive at this assertion?

A pairing describes a function when each unique input (domain element) is associated with exactly one unique output (range element). In other words, there should be no ambiguity or multiple outputs for a single input. Let's analyze the given pairings:

1. (a person’s age in years, that same person’s height in inches): This pairing may not always describe a function because multiple people can have the same age, but they might have different heights. So, there can be multiple outputs for the same input (age).

2. (a person’s weight in pounds, that same person’s height in inches): Similar to the first pairing, this may not always describe a function because different people can have the same weight but different heights.

3. (a person’s height in centimeters, that same person’s height in inches): This pairing describes a function because for each unique height in centimeters, there is only one corresponding height in inches.

4. (a person’s telephone number, that same person’s height in inches): This pairing may not always describe a function because multiple people can have the same telephone number, but they might have different heights. So, there can be multiple outputs for the same input (telephone number).

So, the pairing that always describes a function is: (a person’s height in centimeters, that same person’s height in inches)

learn more about function describing pairs: https://brainly.com/question/31919824

#SPJ1

Please need help ASAP.

Please need help ASAP.

Answers

Answer: in this order angle d, e, f line de, ef, fd

Step-by-step explanation:

Here is your answer to your question
Please need help ASAP.
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