cone is inscribed in a cylinder. A square pyramid is inscribed in a rectangular prism. The cone and the pyramid have the same volume. Part of the volume of the cylinder, 1 V 1 , is not taken up by the cone. Part of the volume of the rectangular prism, 2 V 2 , is not taken up by the square pyramid. What is the relationship of these two volumes, 1 V 1 and 2 V 2 ?

Answers

Answer 1

Answer:

The answer is "[tex]v_1 \ and\ v_2[/tex] are equal".

Step-by-step explanation:

Its volume could be defined both by cone as well as the cylinders

[tex]\to \text{(base area)} \times \text{(solid height)} \times (\frac{1}{3})\\\\[/tex]

We are planning to write this as [tex]V = \frac{Bh}{3}[/tex]

When we relate this formula to the cylindrical and prism volume formula, we can see that when we multiply the cone volume by 3, the cylinder size where it is registered comes in. The very same goes for the pyramid as well as the inscription of the rectangular prism. That both pyramid and the cone have the same volume V, hence it would have the same volume of a cell and rectangle prism. [tex]v_1 \ and\ v_2[/tex] are so similar.


Related Questions

Trigonometry help needed
help would be appreciated ​

Answers

Answer:

Step-by-step explanation:

Question 5

Part A

if Sin(x) = - 3/5  and tan(x) < 0

you are told 3 things

cos(x) must be plus because there are 4 quads. Everybody is plus in quad 1. Sin and tan are <0 so you must be in quad 4 where cos(x) => 0From sin^2(x) + cos^2(x) = 1, we get that cos(x) = 4/5Tan(x) = sin(x) / cos(x)

tan(x) = Sin(x)/cos(x)

tan(x) = -3/5 // 4/5

Tan(x) = -3/4

Part B

cos(2x) = cos^2(x) - sin^2(x)

cos(2x) = (4/5)^2 - (-3/5)^2

cos(2x) = 16/25 - 9/25

cos(2x) = 7/25

Part B

x + y = 90

sin(x +y) = 1

Sin(x - y) =

Sorry can't do this part. I don't know what this is equal to.

Can anyone help? It’s due in the morning

Answers

21) Angle 4

Angle 5

Angle GVH

Angle GVI

Angle HVI

22) Area of parallelogram = [tex]bh[/tex]

     A = 9 × 4 = [tex]36mi^2[/tex]

23) Area of a triangle = [tex]\frac{1}{2} bh[/tex]

     A =    [tex]\frac{1}{2} (12)(7.3)[/tex]

     A = [tex]43.8m^2[/tex]

24) Distance between each pair of point:

Distance between two points = [tex]\sqrt{(x_{B}-x_{A} )^2+(y_{B}-y_{A} )}[/tex]

Add the values in the formula & solve:

[tex]=\sqrt{(-2-0)^2+(2--4)^2}[/tex]

[tex]=\sqrt{(-2)^2+6^2}[/tex]

[tex]=\sqrt{4+36}[/tex]

[tex]=\sqrt{40}=6.3246[/tex]

25) Midpoint [tex](x_{M},y_{M} )=(\frac{x_{A} -x_{B} } {2} ,\frac{y_{A}+y_{B} }{2} )[/tex]

                                    [tex]=(\frac{10+0}{2},\frac{6+7}{2} )[/tex]

                                    [tex]=(\frac{10}{2} ,\frac{13}{2} )[/tex]

Midpoint of a line segment [tex](x_{M},y_{M} )=(5,6.5)[/tex]

I hope this helps....

The supply station donated 115 notebooks to mrs.Michale to give to her class there are 28 students in her class mrs.Michale gives each student the same number of notebooks how many notebooks does she give each student

Answers

Answer:

4.107

Step-by-step explanation:

115/28=4.107

help ASAP!!!
bensnsnana

Answers

Answer:

c

Step-by-step explanation:

plug in 6 or -6 into x. square it. get 36 -11 =25

Answer:

c/d(most likely d)

Step explanation:

f(x)=x^2-11

For f(x) to be <25 x^2-11 must be x^2-11 < 25

Number just greater than 25 is 26 so x^2-11<25

x^2-11<25

x^2<36

x<√36

Therefore, for x^2-11<25 x must be between +6 & -6

Therefore option c is correct but the signs are mistake so it's either d or c.(most likely d)

Solve.
d+e= 2
d-e = 4
Use the substitution method.
O There are an infinite number of solutions.
O There is no solution.
О
The solution is
(3. – 1).
(5, 1)
O The solution is

Answers

Step-by-step explanation:

let d+e=2 be equation 1

let d-e=4 be equation 2

lets make d the subject in equa 1

d = 2-e equation 3

put equation 3 in 2

2-e=4

e=2-4

e=-2

put e=-2 in equa 1

d-2=2

d=4

e is -2 and d is 4

Using the equation y = 30x + 45, if you have a budget of 300 dollars for this job, what are the most full hours the electrician can work? Note: You want the largest number of hours without going over your budget.

Answers

Answer:

8 hours

Step-by-step explanation:

y = 30x + 45

Assuming x is the hours and y is the cost

300 = 30x +45

Subtract 45 from each side

300-45 = 30x+45-45

225 = 30x

Divide by 30

225/30 = 30x/30

17/2 = x

8.5 =x

The largest number of hours without going over means round down

8 hours

anyone wanna help me with this.

Answers

Answer:

b

Step-by-step explanation:

2/(x+2)≠1/(x+1)

Find the slope of the line that contains (-1, 9) and (9, 9).

Answers

Step-by-step explanation:

using the slope formula, we can see that the slope is 0

Write 1.61 as a mixed number and as an improper fraction.
Do not try to simplify your answers.
mixed number:
improper fraction: |

Answers

Answer:

the answers would be 1 61/100 and 161/100

A set of points is graphed on the scatter plot.



Is y a function of x on the scatter plot? Why or why not?

A
Yes, because the point (6,0) is located on the x-axis.

B
Yes, because the point (0,7) is located on the y-axis.

C
No, because x=−5 corresponds to both y=1 and y=−3.

D
No, because y=−3 corresponds to x=−5, x=−3, and x=1.

Answers

Answer:

C

No, because x=−5 corresponds to both y=1 and y=−3.

Step-by-step explanation:

This is not a function.  The graph has values of x that correspond to multiple values of t

Two lines, C and D. are represented by the equations given below.
Line C: y = x + 10
Line D: y = 3x + 2
Which of the following shows the solution to the system of equations and explains why?
(5, 17), because one of the lines passes through this point
(5. 17), because the point lies between the two axes
(4, 14), because the point does not lie
on any axis
(4, 14), because both lines pass through this point

Answers

The answer is D. (4,14) because both lines pass through this point

Explanation: You can insert (4,14) in either equation and so if you insert it into y= x+10 you get 14=4+10 which shows the x combined with 10 equals the y so it’s correct and if you plotted both lines on the graph both lines would travel through this point because it is a solution for both lines.

Which expression is equivalent to 2x2x2x2x2

Answers

Answer:

2^5

Step-by-step explanation:

2x2x2x2x2

Count the number of 2's, that is the power

The base is 2

2^5

Answer:

2 to the power of 5

Step-by-step explanation:

there are 5 2's being multiplied by each other and that can be shortened to the power of 5.

Which absolute value equation represents the graph A) f(x)=-|3x|-5 B) f(x)=3|x-5| C)f(x)=5|x|-3 D)f(x)=|5x-3|

Answers

Answer:

The choose B. f(x)=3|x-5|

I hope I helped you^_^

244 Children are on a school trip, there
are 19 seats on a coach. How many
coaches are needed?

Answers

Answer:

Totally number of coaches needed is 12

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

use the ratio of a 45-45-90 triangle to solve for the variables​

Answers

Answer:

1:1:√ 2

Step-by-step explanation:

Answer:

u = 14

v = 14

Step-by-step explanation:

since both angles around the 90 degree angle are the same, also the sides need to be of equal length. v = u

so, we can use Pythagoras

(14×sqrt(2))² = u² + u² = 2u²

196×2 = 2u²

196 = u²

u = 14 = v

For the parabola y = (x+14)^2 -4, The value of the y coordinate of the vertex is?

Answers

Answer:

-4

Step-by-step explanation:

y = (x+14)^2 -4

The equation is in vertex form

y = a(x-h)^2 + k  where (h,k) is the vertex

The y coordinate of the vertex is k = -4

Answer:

y - coordinate = - 4

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = (x + 14)² - 4 ← is in vertex form

with vertex = (- 14, - 4 )

The y- coordinate of the vertex = - 4

Select the correct answer from each drop-down menu.
Consider the function fx) = -2x + 6x3 + 2x.
The function is
because

Answers

Answer:

This is an odd function because f (–x) = f (x)

Step-by-step explanation:

This is an odd function because f (–x) = f (x)

f(x) = -2x^5 + 6x^3 + 2x.

All the powers are odd powers  and the sum of odd functions is odd

All of the terms are odd functions so the total function is odd

Answer:

CORRECT

Step-by-step explanation:

Help meh pweeeeaaaasssseeee!

Answers

Answer:

The name of the given figure in two different ways are - J⇔U and U⇔J

1) 0.1(t-3)=0.15(t-4)
2) 2m(m-4)-8=m(2m-12)
3) 10-5(1+x)/3+3x+1/5=0
4) 2b+1/5-b-1/3=1
5) 5(1-z)/3-3z-1/5=1/6
6) x+5/15-x-5/10=1+2x/15
7) 3x-4/6-2x+3/8=2x-7/24
8) (x+0.5)+1/2(3x-1/3)=1/3(x+1)
9) 9x-5/7=6x++2/5
10) 7x-10/5=8x5/7

Answers

1. T=6
2. M=2
3. X=6.4
4. B=1.13
5. Z=0.27857142…
6. X=-8.75
7. X=0
8. X=0
9. X=0.3714285
10. X=1.10204081…

5 a. how to convet 2 hour to second ​

Answers

Answer:

Step-by-step explanation:

2 hour

To seconds = 7200

Hope this  answer helps you :)

Have a great day

Mark brainliest

Rút gọn
Giúp em với ạ. em lm mãi ko ra

Answers

Answer:

Step-by-step 12explanation:

12

Answer:

Nhân đa thức đối xứng

(2[tex]\sqrt{3}[/tex] -4)/([tex]\sqrt{3}[/tex] -1) + (2[tex]\sqrt{2}[/tex] -1)/([tex]\sqrt{2}[/tex] -1) - (1+[tex]\sqrt{6}[/tex] )/([tex]\sqrt{2}[/tex] +3)

=(2[tex]\sqrt{3}[/tex] -4)([tex]\sqrt{3}[/tex] +1)/([tex]\sqrt{3}[/tex] -1)([tex]\sqrt{3}[/tex] +1) + (2[tex]\sqrt{2}[/tex] -1)([tex]\sqrt{2}[/tex] +1)/([tex]\sqrt{2}[/tex] -1)([tex]\sqrt{2}[/tex] +1) - (1+[tex]\sqrt{6}[/tex] )([tex]\sqrt{2}[/tex] -3)/([tex]\sqrt{2}[/tex] +3)([tex]\sqrt{2}[/tex] -3)

=3-[tex]\sqrt{3}[/tex] -2+4+[tex]\sqrt{2}[/tex] -1 +([tex]\sqrt{2}[/tex] -3+2[tex]\sqrt{3}[/tex] -3[tex]\sqrt{6}[/tex] )/7

= 2.900712176

Step-by-step explanation:

A boat travels 160 miles per hour. What is the speed in miles per minute?

Answers

We divide both sides by 160. Therefore, the boat will travel about 0.53 miles in 1 minute.
1hour =60min

Speed in mph=160mph

Now

[tex]\\ \sf\longmapsto 160\times \dfrac{1}{60}[/tex]

[tex]\\ \sf\longmapsto \dfrac{160}{60}[/tex]

[tex]\\ \sf\longmapsto 2.6miles/min[/tex]

find the measure of the indicated angle to the nearest degree​

Answers

[tex]\boxed{\sf sin\Theta=\dfrac{P}{H}}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{16}{26}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{8}{13}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=0.5[/tex]

Convert to p/q form

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{5}{10}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{1}{2}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=sin30[/tex]

[tex]\\ \sf\longmapsto \Theta\approx30°[/tex]

The average heights of four samples taken from a population of students are shown in the table. Which of these is most likely closest to the average height of the population?

Answers

Using the Central Limit Theorem, the mean height that is most likely closest to the average height of the population is:

B. 57.

What does the Central Limit Theorem state?

It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

The interpretation of the equation for the standard error is that larger sample sizes will lead to estimates closer to the actual population parameters.

From the table, the largest sample size in this problem is of 40, and this sample had a mean of 57, hence the mean height that is most likely closest to the average height of the population is:

B. 57.

More can be learned about the Central Limit Theorem at https://brainly.com/question/16695444

#SPJ1

Which is the graph of y = log4(x+3)?

Answers

Answer:

Step-by-step explanation:

Answer:

Option c points at (-2,0) (-1, 0.5) and (1,1)

Step-by-step explanation:

29 A student has N425. He bought seven ex-
ercise books and he was given N5 as
change. What is the average cost of one
exercise book?
A N60.71 B N50 C N60
DN50.71 E
N75

Answers

The average cost of one exercise book is N60
He was given N5 change which means he spent a total of N420
Therefore,he used N420 to buy 7 books,the average cost of one book= 420/7=60.Thanks

Find the arc length of the partial circle.

Answers

Answer:

arc length = 4π units

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{90}{360}[/tex]

     = 2π × 8 × [tex]\frac{1}{4}[/tex]

     = 2π × 2

    = 4π units ← exact answer

Mark Brainliest please

Answer : Arc length (L) = 12.56637

What is the value of x?
26°

O
x
= [?]

Answers

Answer: x = 154°

Step-by-step explanation:

In this tangents are formed

So the two unknown opposite angles at the curves will be 90° each.

So using angle sum property of a quadilateral in which all angles adds upto 360°

We get x as

90+90+26+x = 360

206+x = 360

x = 360 - 206

x = 154

please click thanks and mark brainliest if you like :)

7.
Find the number of real number solutions for the equation. x2 – 18 = 0

A. cannot be determined
B. 0
C. 1
D. 2

Answers

C. 2

The solutions are sqrt(18) and -sqrt(18)

Please solve this:
[tex] {2}^{y - 3} \times {3}^{2y - 8} = 36[/tex]
Solve for y.
Explain please!!
Answer only if you can.​

Answers

Answer:

y is 5.

Step-by-step explanation:

[tex]{ \sf{{2}^{y - 3} \times {3}^{2y - 8 } = 36}} \\ \frac{ {2}^{y} }{ {2}^{3}} \times \frac{ {3}^{2y} }{ {3}^{8} } = 36 \\ \\ {2}^{y} . {3}^{2y} = 36 \times {2}^{3} \times {3}^{8} [/tex]

Introduce log base 10:

[tex] log_{10}( {2}^{y} \times {3}^{2y} ) = log_{10}(36 \times {2}^{3} \times {3}^{8} ) \\ log_{10}( {2}^{y} ) + log_{10}( {3}^{2y} ) = 6.28 \\ y log_{10}(2) + 2y log_{10}(3) = 6.28 \\ 0.3y + 0.95y = 6.28 \\ 1.25y = 6.28 \\ y = 5[/tex]

Other Questions
Find the sum of integers -72, 237, 84, 72, -184, -37 Elaboremos un texto para explicar por qu es importante la vigencia del derecho a la tierra y al territorio para los pueblos indgenas u originarios y para el pas en general, y propongamos algunas acciones a fin de promover este derecho. You are preparing to park your car and you notice that you are near a railroad crossing. You must not park Choose an answer: A. Within 35 feet of a railroad crossing.B. Within 40 feet of a railroad crossing.C. Within 50 feet of a railroad crossing. Helpppppp -4y=-20Graph each line that represents each linear equation A puddle of dark liquid under a car indicates a leak in the oil or transmission fluid. Another warning sign of car trouble is uneven wear on tire treads. If the outer edge of the tire tread wears out before the center, the tire is under-inflated. The most significant early warning signal, however, is less and less mileage per gallon. Lower fuel economy is caused by a variety of problems ranging from a clogged air filter to ignition or carburetor trouble. The sentence that best expresses the implied main idea is:_______.a. Several warning signs can indicate car problems.b. A puddle of dark liquid under a car is a sign that a car has an oil or transmission-fluid leak.c. The most significant warning signal of a car problem is getting lower mileage per gallon of gas.d. Various problems may cause a car's fuel economy to decrease. Let us go, through certain half-deserted streets, The muttering retreats Of restless nights in one-night cheap hotels And sawdust restaurants with oyster-shells: How is this excerpt an example of dramatic monologue How many grams of ammonia can be produced from reacting a 450 L sample of nitrogen gas at a temperature of 450 K and a pressure of 300 atm? please I need answer right now ppleasssseeD. -1/4+-2/3with explanation pleaseeee South World has a total debt of $10 million and an annual GDP of $5 million. It currently pays 4% interest on its debt every year. What percentage of annual GDP does interest on the debt represent Hey Help me out please, thanks! you could win the first price if complete the sentence using if clause PLEASE HELP!!!Which of the following trigonometric expressions is equivalent to the x-coordinate of the terminal point Test scores for a Statistics class have a mean of 78 with a standard deviation of 6. Suppose a student gets an 81 on that test. What is the z-score for that grade? There are five students standing in a line with their hats. Suddenly the wind picks up the hats and randomly assigns each hat to a student. What is the probability that no student will get his or her own hat Help help help !!!! A boat has a ladder that's ten feet long, and hangs off the side of the boat,with its last two feet submerged in water. If the ocean tide rises five feet,how much of the ladder will be underwater? please answer this evaluate f(x)=1/4x for x=-5option 1. -1/20option 2. -1 1/4option 3. 20option 4. -4/5 A survey of 249 people asks about their favorite flavor of ice cream. The results of this survey, broken down by the age group of the respondent and their favorite flavor, are as follows: Chocolate Vanilla Strawberry Children 40 10 44Teens 34 10 38Adults 17 43 13 If one person is chosen at random, find the probability that the person:______.a) is an adult.b) likes chocolate the best.c) is an adult OR likes vanilla the best.d) is a child AND likes vanilla the best.e) likes strawberry the best, GIVEN that the person is a child.f) is a child, GIVEN that the person likes strawberry the best. I bought a spray to kill the weed's (negative)