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

If < A and < B are vertical angles, and < A = 5x - 1 degrees, and < B = 4x + 4 degrees, find x.
Select one:
a. 5 / 9
b. - 3
c. 5
d. 11

Answers

Answer:

c

Step-by-step explanation:

vertical angles are congruent, so

5x - 1 = 4x + 4 ( subtract 4x from both sides )

x - 1 = 4 ( add 1 to both sides )

x = 5 → c

The value of x is c. 5

Given that,

If < A and < B are vertical angles, and < A = 5x - 1 degrees, and < B = 4x + 4 degrees

Based on the above information, the calculation is as follows:

5x - 1 = 4x + 4

5x -4x = 4 +  1

x = 5

Learn more: brainly.com/question/17429689

Can someone please be generous and help me

Answers

Answer:

The point slope form is [tex]y-y_{1} =m(x-x_{1} )[/tex]

The slope(m) can be calculated using [tex]\frac{y-y_{1} }{x-x_{1}}[/tex]:

[tex](x, y)=(4,-3)\\(x_{1} ,y_{1} )=(5,0)\\\\\frac{0-(-3)}{5-4} =\frac{0+3}{1} =\frac{3}{1} =3[/tex]

Using Point One, the point-slope form is determined as:

[tex]y-(-3)=3(x-4)\\y+3=3(x-4)[/tex]

The y-intercept(b) can be calculated as:

[tex](5,0)\\y=3x+b\\0=3(5)+b\\0=15+b\\b=-15\\(0,-15)[/tex]

Rodrigo traveled at an average speed of 55 miles per hour for 5 hours to get from one national park to the next on his vacation. What is the distance between the national parks?

Answers

275 miles

Explanation: take 55 miles per hour times the number of hours (5 hours as listed in problem)

Select all of the equations below that are equivalent to:

w + 13 = –8

Answers

Answer:

w= -21

Step-by-step explanation:

Solve for x. Round to the nearest tenth of a degree, if necessary.

Answers

Answer:

39.30°

Step-by-step explanation:

In ∆ KLM :-

cos x = LK / KM cos x = 6.5/8.4 cos x = 65/84 x = cos -¹( 65/84)x = 39.30°

6) Qual número deve ser acrescentado a expressão x² - 12x, para que se obtenha um trinômio quadrado perfeito? * 6 5 12 10

Answers

Respuesta:

36

Explicación paso a paso:

Para completar el cuadrado tendremos que sumar la mitad del cuadrado del coeficiente de x a la expresión;

Coeficiente de x = -12

Mitad del coeficiente = (-12/2) = -6

Tomando el cuadrado del resultado = (-6) ^ 2 = 36

Por lo tanto, el número que se debe sumar para obtener un cuadrado perfecto es 36.

What is 600000+45 yes I'm back

Answers

Answer:

600045

Step-by-step explanation:

Answer:

Hmm the answer might be 600045

Step-by-step explanation:

So what you do is that you add them up using your calculator or brain.

Given: triangle RST is circumscribed about circle A.
m∠APT = _____°

Answers

Answer:

90

Step-by-step explanation:

From the given drawing, we have;

ΔRST is circumscribed about circle A

The center of the circle A = The point A

The line RT = A tangent to the circle A

The radius to the circle A = The line AP

According to circle theory, a line which is tangent to a circle is perpendicular to the radius of the circle drawn from the point of tangency

Where two lines are perpendicular to each other, then the angle formed between them = 90°

The angle formed between a tangent and the radius of the circle = m∠APT

Therefore;

m∠APT = 90°

Question 23 (5 points)
If a leg of a right triangle is 7 units and the hypotenuse is 25 units, what's the length
of the other leg?
1024 units
25.96 units
24 units
324 units

Answers

the answer is 1024 because 7²+25²=b²

factor out the square which gives you

(7+25)²=b²

32²=b²

squaring 32 gives 1024

Answer:

24 units

Step-by-step explanation:

i just took the quiz

Mary wants to send some packages to her uncle. It costs her $25 to send 5 packages through a certain shipping company. Consider the number of packages per dollar. Write an equation to represent the relationship.

Answers

Answer:

25 divided by 5 equals 5

it cost 5 dollars per package

Hope This Helps!!!

(-2x+1) (2x^2-1/3x+2)

Answers

Answer:

JHJHJHJHUJ3480945768

658768

Step-by-step explanation:

684867765543545

Ans x = 0.5

Step-by-step explanation:

[tex]= -4x^{3} + 2x^{2} +\frac{2}{3}x^{2} -\frac{1}{3}x-4x+2\\= -4x^{3}+\frac{8}{3}x^{2} -\frac{13}{3}x+2\\[/tex]

If the equation requires to find x, you can use Casio calculator to solve this by some basic formula:

Step 1: Type [tex]-4x^{3}+\frac{8}{3}x^{2} -\frac{13}{3}x+2[/tex]

Step 2: Press Shift SOLVE (CALC)

Step 3: Press "0" for Solve for X

-> You will find the x is 0.5


Of the methods for solving systems of equations, which is best used when one equation is solved for either x or y, or can easily be solved for x or y?

Answers

elimination is easier

Answer:

Elimination

Step-by-step explanation:

Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 3 more than 3 times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 67

Answers

Mark has 16 marbles, Don has 51 marbles
Hope this helps- brainliest would be great thanks

What is the value of cose in the diagram below?

Answers

Answer:

[tex]cos \theta = 0.6[/tex]

Step-by-step explanation:

Draw a line from point ( 0.6, 0.8 ) to the X - axis, forming a right triangle with hypotenuse = r = 1 , adjacent = 0.6,  opposite = 0.8

[tex]cos \theta = \frac{adjacent}{hypotenuse} , \ where \ adjacent = 0.6 ,\ hypotenuse \ = r= 1[/tex]

[tex]cos \theta = \frac{0.6}{1}\\\\cos \theta = 0.6\\\\\theta = cos^{-1} \ 0.6\\\\\theta = 53.13^\circ[/tex]

The value of cos θ is,

⇒ cos  θ = 0.6

What is mean by Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Now, We can Draw a line from point ( 0.6, 0.8 ) to the X - axis, forming a right triangle with hypotenuse = r = 1 , adjacent = 0.6,  opposite = 0.8

Hence, We can formulate;

⇒ cos θ = 0.6 / 1

⇒ θ = cos ⁻¹ 0.6

⇒ θ = 53.13°

Thus, The value of cos θ is,

⇒ cos  θ = 0.6

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ7

plz hellppp 10 points!!
Select the correct difference.
5d^2 + 4d-3 less 3d^2-2d+4
answers:
a. 2d^2+2d+1
b. 2d^2+6d+7
c. 2d^2+6d-7
d. -2d^2-6d+1

Answers

Answer:

(c)

Step-by-step explanation:

Put all numbers in the same side

5d^2-3d^2+4d+2d-4-3=0

2d^2+6d-7

PLEASE PLEASE PLEASE HELP ME. IM STUCK IN A SUMMER SCHOOL AND IF I DONT GET GOOD GRADES ILL GET IN BIG TROUBLE AND IM TOTALLY LOST ON THIS PROBLEM. I ALREADY DID THE FIRST TWO BUT I DONT KNOW HOW TO DO THE LAST ONE. PLEASE HELP ME!!!!

Answers

Answer:

We know that in the box there are:

4 twix

3 kit-kat

Then the total number of candy in the box is:

4 +3 = 7

a)

Here we want to find the probability that we draw two twix.

All the candy has the same probability of being drawn from the box.

So, the probability of getting a twix in the first drawn, is equal to the quotient between the number of twix and the total number of candy in the box, this is:

p = 4/7

Now for the second draw, we do the same, but because we have already drawn one twix before, now the number of twix in the box is 3, and the total number of candy in the box is 6.

this time the probability is:

q = 3/6 = 1/2

The joint probability is the product of the individual probabilities, so here we have

P = p*q = (4/7)*(1/2) =  2/7

b) same reasoning than in the previous case:

For the first bar, the probability is:

p = 3/7

for the second bar, the probability is:

q = 2/6 = 1/3

The joint probability is:

P = p*q = (3/7)*(1/3) = 1/7

c) Suppose that first we draw a twix.

The probability we already know that is:

p = 4/7

Now we want another type, so we need to draw a kit-kat, the probability will be equal to the quotient between the remaining kit-kat bars (3) and the total number of candy in the box (6)

q = 3/6

The joint probability is:

P = p*q = (4/7)*(3/6) = 2/7

But, we also have the case where we first draw a kit-kat and after a twix, so we have a permutation of two, then the probability in this case is:

Probability = 2*P = 2*2/7 = 4/7

Roger has 50 ounces of water. If he drinks 30% of it, how
much water will he have left?

Answers

Roger will have 15 ounces of water left

Answer:

35 ounces

Step-by-step explanation:

If Roger drinks 30% of the water, that means there will be 70% of it left. We can turn percentages into decimals by dividing them by 100. If we multiply 50 by 0.7, we get 35 ounces.

it takes 5 girls to use 8 days to clean up a room. find the number of days that will be used by. 15 girls. 10 girls. 20 girls​

Answers

15 girls take 8/3 = 2.7 days
10 girls take 8/2 = 4 days
20 girls take 8/4 = 2 days

In a carnival game called Spot the Spot, the player has to drop five disks onto a red circle. The disks must cover it completely for the player to win. The probability that a skilled player can drop one of the disks onto the exact place on the red circle that it must occupy is about 1/3. What is the probability that such a player will be able to drop

Answers

Answer:

See explanation

Step-by-step explanation:

Given

[tex]n=5[/tex] --- disks

[tex]p = \frac{1}{3}[/tex] --- success probability

Required

The question is incomplete, as the required probability is not stated.

However, the question follows binomial distribution and the probability is calculated using:

[tex]P(x) = ^nC_x * p^x * (1 - p)^{n-x}[/tex]

Assume the question requires that we calculate the probability that he's able to drop 2 disks, the probability will be:

[tex]P(x = 2) = ^5C_2 * (\frac{1}{3})^2 * (1 - \frac{1}{3})^{5-2}[/tex]

[tex]P(x = 2) = ^5C_2 * (\frac{1}{3})^2 * (\frac{2}{3})^{3}[/tex]

[tex]P(x = 2) = 10 * \frac{1}{9}* \frac{8}{27}[/tex]

[tex]P(x = 2) = \frac{80}{243}[/tex]

Apply the formula to the complete question

What is the typical number of payments that can be made toward paying off a single payment loan?

A. one hundred

B. one

C. two

D. unlimited

Answers

Answer:

The correction option is B.

Step-by-step explanation:

Asking for typical no. of payments towards paying single payment loanSince single payment loan should be paid in one shotTherefore correct option is B i.e. one.

Answer:

B. One

Step-by-step explanation:

If it is a single payment loan, the title is self explanatory <3

p(x),f(x),g(x) are parabolas with positive coefficient, each pair of parabolas got common rational root, how to proof that p(x)+f(x)+g(x) have a rational root?

Answers

Answer:

[tex]{ \tt{p(x) : {y}^{2} = 4ax}} \\ { \tt{f(x) : {(y')}^{2} = 4a {x}'}} \\ { \tt{g(x) : {(y'')}^{2} = 4ax''}} \\ { \bf{since \: they've \: a \: common \: root}} : \\ {y}^{ 2} = {(y')}^{2} = {(y'')}^{2} \\ = > { \tt{4ax + 4ax' + 4ax''}} \\ = 4a(x + x' + x'') \\ common \: root \: is \: 4a \\ { \tt{ \infin {}^{ - } \leqslant 4a \leqslant \infin {}^{ + } }}[/tex]

Can someone help me with this math homework please!

Answers

Answer:

DOMAIN

input values belong to domainset of values for the independent variable is called the domain

RANGE

output values belong to range set of values for the dependant variable is called the range

If the ratio of a to b is 2.3 and the ratio
of to bis 3:4, which of the following is
equal to the ratio of a to c.?

Answers

Answer:5.7 D

Step-by-step explanation:

Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation?

(negative 5 minus StartRoot 34 EndRoot comma negative 5 + Startroot 34 EndRoot)
(negative 5 minus StartRoot 29 EndRoot comma negative 5 + StartRoot 29 EndRoot)
{–12, 2}
{–2, 12}

Answers

Answer:

(-12,2)

Step-by-step explanation:

x^2 + 10x = 24

x^2 + 10x + (10/2)^2 = 24 + (10/2)^2

10/2 = 5

5^2 = 25

x^2 + 10x + 25 = 24 + 25

x^2 + 10x + 25 = 49

(x + 5)^2 = 49                 Take the square root of both sides

(x + 5) = sqrt(49)

x + 5 = +/- 7

x = +/- 7 - 5

x = +7 - 5 = 2

x = -7 - 5 = -12

Answer:

{ -12 , 2}

Step-by-step explanation:

x² + 10x = 24

In order to complete the square, the equation must first be in the form x² + bx =c.

x² + 10x = 24

Divide 10, the coefficient of the x term, by 2 to get 5. Then add the square of 5 to both sides of the equation. This step makes the left hand side of the equation a perfect square.

x² + 10x + 5² = 24 + 5²

expand exponents.

x² + 10x + 25 = 24 + 25

Add 24 and 25

x² + 10x + 25 = 49

Factor x² + 10x + 25. In general, when x² + bx + c is a perfect square, it can always be factored as ( x + b/2)².

( x + 5 )² =49

Take the square root of both sides of the equation.

[tex] \small \sf \sqrt{(x + 5) {}^{2} } = \sqrt{49} [/tex]

simplify

x + 5 = 7x + 5 = +/- 7

Subtract 5 from both sides.

x + 5 - 5 = 7 - 5

x = 2

x + 5 - 5 = +/- 7 -5

x = -7 - 5 = -12

BRAINLEST IF CORRECT!!!!which of the d-values satisfy the following inequality? d/5>4

Answers

Answer:

d = 25

Step-by-step explanation:

[tex]\frac{d}{5} >4[/tex]

The value of d has to satisfy the inequality

so replace d with one of the given options

[tex]\frac{25}{5} >4[/tex]

We have to simplify the fraction first

[tex]\frac{25}{5} =5>4[/tex]

Factor 60 − 36w, to identify the equivalent expressions.

Answers

Step-by-step explanation:

60-36w6(10-6w)

hope it helps

stay safe healthy and happy..

Answer:

all of the answers are correct

Step-by-step explanation:

khairul order one set meal at a restaurant which offer a 20% discount. there is a service charge of 10% and GST is at 7% given that he pays a total of 23.54 find the marked price of the set meal​

Answers

Answer:

Market price of set = 25.14

Step-by-step explanation:

Given:

Discount percentage = 20%

Service charge = 10%

GST = 7%

Amount pays = 23.54

FInd:

Market price of set

Computation:

Assume;

Market price of set = a

Market price of set after discount = a(1-20%)

Market price of set after discount = 0.80a

Market price of set after discount + (Market price of set after discount)(Service charge) + (Market price of set after discount)(GST) = Amount pays

0.80a + (0.80a)(10%) + (0.80a)(7%) = 23.54

0.80a + 0.08a + 0.056a = 23.54

0.936a = 23.54

a = 25.14

Market price of set = 25.14

my friend took time to round once around a circular field is 30seconds. Calculate the area of field of the school of his speed is 90 meter/sec​

Answers

Answer:

im bad at math but i think its 120

It should be 120 hopefully this helps

which algebraic expressions are polynomials​

Answers

Answer:

last option

Step-by-step explanation:

3.9x3 -4.1x2+7.3

Find the area of the following
rhombus:
6 cm
10 cm
8 cm
A=121 cm2

Answers

Answer:

let

diagonal 1=6cm

diagonal 2=10cm

Area of rhombus=½*diagonal 1*diagonal 2=½*6*10

=30cm²

Answer:

Area of rhombus is 30cm².

Step-by-step explanation:

A rhombus having diagonals 6cm and 10cm . Find the area of rhombus.

Solution :-

Let us assume that

[tex]diagonal_1= 6cm[/tex][tex]diagonal_2 = 10cm[/tex]

Finding the area of rhombus

Using Formula :-

Area of rhombus = ½ × [tex]diagonal_1[/tex]×[tex]diagonal_2[/tex]

Substitute the values of both diagonals.

Area of rhombus = ½ × 6cm × 10cm

Multiply the numbers

Area of rhombus = ½ × 60cm²

Divide we get ,

Area of rhombus = 30 cm

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