A frustum of height 4 is part of a larger pyramid of height 6. What is the ratio of the volume of the frustum to the volume of the pyramid?

Answers

Answer 1

Answer:

26 : 27

Step-by-step explanation:

The volume of the pyramid with height of 6:

V = 1/3bh = 1/3b*6 = 2b,b is area of the base

The volume of the smaller pyramid is:

V₁ = 1/3*b₁h₁

We know:

h₁ = 6 - 4 = 2h₁/h = 2/6 = 1/3

The base sides have same ratio as similar triangles.

b₁ = (1/3)²b= b/9

The volume of smaller pyramid:

V₁ = 1/3*2*b/9 = 2b/27

The difference of the volumes is the volume of the frustum:

V₂ = V - V₁V₂ = 2b - 2b/27 = 52b/27

The ratio of V₂ to V is:

52b/27 ÷ 2b = 26/27

Related Questions

Helppppppppppp AND NO LINKS

Answers

the scatter plot is negative

Please help with this math question'

Answers

Answer:

h = 1296 feet

Step-by-step explanation:

Given that,

The vertical position of the object is :

[tex]h(t)=-16t^2+160t+896[/tex] .....(1)

We need to find the highest height reached by the object. For highest height,

Put dh/dt = 0

[tex]\dfrac{d}{dt}(-16t^2+160t+896)=0\\\\-32t+160\\\\t=\dfrac{160}{32}\\\\t=5\ s[/tex]

Put t = 5 in equation (1).

[tex]h(5)=-16(5)^2+160(5)+896\\\\=1296\ ft[/tex]

So, the height reached by the object is 1296 feet.

The scale on a map is 1in. = 2 mi. On the map, Greg’s house is 4in. from Melissa’s house. What is the actual distance from Greg’s house to Melissa’s house?

Answers

The distance from Greg's house to Melissa's is 8 mi.

Step-by-step explanation:

Multiply 4 by 2.

The segment show below could form a triangle?

True or False

Answers

false (i need more characters so yeah ansnanakjananajsjsmsmsmsnsnkskzk?

Answer:

False

Step-by-step explanation:

RULE 1 :ANY SIDE OF THE TRIANGLE MUST BE LESS THAN THE SUM OF THE OTHER TWO SIDES

6< 12+5

5<6+12

12<5+6 (this is wrong number 1)

RULE 2: ANY SIDE MUST BE LESS THAN THE SUBTRACTION OF THE SMALLER SIDE AND THE BIGGER SIDE

6>12-5(wrong number 2)

5>12-6(wrong number 3)

12> 6-5

IT ONLY TAKES ONE WRONG TPO PROVE THIS IS NOT CORRECT

8) How many terms of the arithmetic sequence (2, 4, 6, 8, ...} will give a sum of 600?

PLZ ANSWER

Answers

Answer:

I believe the answer is 300

Step-by-step explanation:

Which statement correctly compares the spreads of the distribution

Answers

Answer:

From what I remember A is the answer but im  not sure.

Answer:b

Step-by-step explanation:t

Confusing to me please help......

Answers

it’s 2boxes because there’s 10 in each line , with 8 rows 8x2 equals 160 which is closest to 140 .









Hi there!

[tex]\large\boxed{3 \text{ boxes}}[/tex]

Calculate the number of boxes of cubes needed by calculating the volume of the pictured figure.

We can see that it has a width of 4 blocks, depth of 2 blocks, and a height of 8 blocks.

Calculate volume: V = l × w × h

V = 4 × 2 × 8  = 64 cubes in each box.

Since she needs 140 cubes, we can find how many boxes she would need for this amount:

140 ÷ 64 = 2.1875.

However, you cannot buy a part of a box, which is why you must round to a whole number. However, only buying 2 boxes would be too little.

Thus, she would need to buy 3 boxes.

QUESTION 1
1.1
1.1.1 Wiite 2 368 000 in words
1.1.2
Round the following number 864 345,537
1.1.2.1 to the nearest thousand
1.1.2.2 to two decimal places​

Answers

1.) 2368000 (two million, three hundred sixty-eight thousand)
2.) 864,346,000 rounded to nearest thousand
3.) 864,345,537.00 not 100% on the last answer

Good luck

PLEASE HELP 10 POINTS!

which model shows 1/4 ÷ 3?

Answers

Answer:

1/4 : 3 = 0.75

0.75 = 3,4

So B is the correct answer.

the table below shows' different possibilities for the number of games a team would need to win to maintain a certain percentage of wins. Which ratio of games won to the number of games played could also be included in this table?

Answers

Answer:

C

Step-by-step explanation:

I saw em in other ones

Can someone teach me how to do this pleasseeee!

Answers

so the equation is 5-x3
x^3=x*x*x
so you have x=-2
That means y=5-(-2*-2*-2)
y=5-(-8) which gives y=13
Do this for every x and get the y

Answer:

y's go

13, 6, 5, 4, -3

Step-by-step explanation:

well so you have the equation y = 5 - x^3

you are given the x for all of them

y = 5 - (-2)^3

5 - (-8) = 13

y = 5 - 0^3

5 - 0 = 5

y = 5 - 1^3

5 - 1 = 4

y = 5 - 2^3

5 - 8 = -3

The three most commonly used graphs in research are the histogram, the __________, and the cumulative frequency graph (ogive)

Answers

Answer:

The four most common are probably line graphs, bar graphs and histograms, pie charts, and Cartesian graphs.

mrs cofflands social studies class gas 14 boys and 9 girls in it what is the ratio of girls to boys write it 3 different ways​

Answers

Answer:

1.  14:9

2. 14 to 9

3. 14/9

Step-by-step explanation:

x over 8 = 10?
i just need to solve for x

Answers

X =80 you just have to multiply 8x10


HELP ASAP PLS DONT GUESS ANSWER QUESTION IN PIC PLS

Answers

Answer: It's C

Step-by-step explanation:

Find the measurement of angle X

A) 91°
C) 1360
B) 1050
D) 100°

Answers

Answer:

I think its B or C

Step-by-step explanation:

Please do not send me a link to the answers I will have u reported but please answer this in feet

Answers

Answer:

24.5

Step-by-step explanation:

Help ASAP pls im giving away all of my points!!
Do you think you would have liked to have been a participant in Biosphere 2? Why or why not?

Answers

Answer:

NO. It sounds terrifying, and nearly deadly with the lack of oxygen..all the pollution from things like cars and factories, the littering, the deforestation, the animals that are either endangered or extinct.

Step-by-step explanation:

Simplified 1100/2500

Answers

Answer:

11/25

Step-by-step explanation:

we can divide both top/bottom by 100, to get 11/25

:)

Write an equation for a line perpendicular to y=4x+1 and passing through the point (12,-7).

y =

Answers

Answer:

Step-by-step explanation:

y = 4x + 1

Slope of line = 4

Slope of perpendicular to line = -¼

Point-slope equation for line of slope -¼ that passes through (12, -7):

y+7= -¼(x-12)

40 points! Please help me

Answers

Answer:

x = 8

y = 14

Step-by-step explanation:

2x + 6 = 4x - 10 (Corresponding angles so they're equal)

2x - 4x = -10 - 6

-2x = -16

x = 8

2x + 6 + 13y - 24 = 180 (Supplementary angles so they add up to 180)

2(8) + 6 + 13y - 24 = 180

16 + 6 + 13y - 24 = 180

13y - 2 = 180

13y = 182

y = 14

Answer:

2x+6=4x-10[corresponding angle]

16=2x

x=8

again

2×8+6+13y-24=180°[linear pair]

13y=180+2

y=182/13

y=14

If C is the incenter of ∆AMD, m∠A M C = 3 x + 6 and m∠ DMC= 8 x − 49.


find ∠ M A D , find m∠ADM and find m∠ADC

Answers

Answer:

3x+6=8x-49,

-6. -6

__________

3x=8x-55

-8x. -8x

________

-5x=-55

x=11,

3(11)+6=39

8(11)-49=39

Step-by-step explanation:

f(x) = V22
g(x) = V322
Find (f .g)(x). Assume x2 0.
O A. (f.g)(x) = 8x
B. (f.g)(x) = 8VC
O c. (f.g)(x) = 32x
D. (f.g)(x) = V34x

Answers

Answer:

Step-by-step explanation:

g(x) = √(32x) = √(2⁵x) = 4√(2x)

(f∘g)(x) = f(g(x))

= f(4√(2x))

= √(2 ⋅ 4√(2x))

= √(8√(2x))

= √8∜2∜x

= ∜(2⁷x)

= ∜(128x)

which doesn’t match any of the choices. There’s an error in the question.

I believe that the functions were written incorrectly and the x should not be part of the radicands (see attachment). That makes the answer A.

What is the equation of the line that passes through the point (8,9) and has a y-intercept of -3?

Answers

Answer:

y=3x/2-3

Step-by-step explanation:

y=mx+c

9=m(8)-3

9+3=8m

12=8m

m=12/8

m=3/2

The equation of the line is y=3x/2-3

How many more people studied for 0-30 minutes than people who studied for 121-150 minutes?

Answers

Answer:

5 more people studied more in 0-30 minutes than people who studied 121-120 minutes.

Step-by-step explanation:

five more people studied for 30 minutes then 121 minutes

An arctic cold front is moving through an area. It is 37F when the temperature begins to drop. The scatter plot suggests a linear relationship between the temperature and the number of hours since the cold front arrived. Use the scatter plot to answer parts ac.

Answers

Answer:  The slope describes the change in temperature for every hour after the cold front arrives.

Step-by-step explanation:

PLEASE HELP I WILL MARK YOU BRAINIEST!!

Answers

Answer:
r = 9

The error happened when -3 was multiplied by -r in the first step, negative and negative makes a positive so it should have been
-18 + 3r= 9 in the second step.
Hope this helps :)

The scatter plot below shows the amount of money Shawn had in the bank on days in the month of January.



Which statement best describes the relationship between the amount of money Shawn had in the bank and the day of the month?

Answers

Bro there’s no numbers so how am I asposed to know

Can you simplify five and 26/24

Answers

Answer:

6 and 1/2

Step-by-step explanation:

Part B Walden poses the same question (How many people live in your home, including yourself?) to each person in the house next to his. Based on their responses, he wrote this data set: 5, 5, 5, 5, 5. Question 1 What is the center of this data set?


PLZ answer the question

Answers

Answer:

The answer is 5

Step-by-step explanation:

get to the middle of the 5's and that's your answer =>=

Answer:

The answer is 5

Step-by-step explanation:

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