Two stacks of 23 quarters each are shown below. One stack forms a cylinder but the other stack does not form a cylinder.

Answers

Answer 1

Complete question:

Two stacks of 23 quarters each are shown below. One stack forms a cylinder but the other stack does not form a cylinder.

Use Cavelieri’s principle to explain why the volumes of these two stacks of quarters are equal.

Answer:

In this image, we have 2 stacks, whereby one stack forms a cylinder and the other stack doesn't form a cylinder.

We are required to use Cavelieri’s principle to explain why the volumes of the two stacks of quarters are equal.

Cavelieri’s principle states that the volume of two solid figures will be equal if both figures have equal height, the distance from their respective base is equal and their corresponding cross section are of the same area.

Here, we can see that the quater of each stack have the same base area. Since, both quaters have the same base area, there will be no difference in the area of the cross section of both stacks.  

The volume of these 2 stacks of quarters will be equal because both stacks have have the same height of 23 quaters.

Two Stacks Of 23 Quarters Each Are Shown Below. One Stack Forms A Cylinder But The Other Stack Does Not

Related Questions

please help...................

Answers

Answer:

A, C, D, E

Step-by-step explanation:

sqrt(1.8)=1.34<1.8 (true)

sqrt(1.8)=1.34>1 (false)

sqrt(1.8)=1.34, sqrt(1.9)=1.38, 1.34<1.38 (true)

1.3<sqrt(1.8)=1.34<1.4 (true)

sqrt(1.9)+sqrt(1.8)=2.7>2 (true)

sqrt(1.9)-sqrt(1.8)=0.04>0.1 (false)

Answer:

a c d e

Step-by-step explanation:

don't come for me if it's wrong

Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!!!!!!

Answers

Answer:

(up) by 6

left by 7

Step-by-step explanation:


An entry level programmer's annual pay is $58.916 based on 52 weeks per year. Due to the economy, his company is having to cut back on
the number of weeks that it employs its programmers. If the firm cuts the work year to 51 weeks but keeps the same rate of pay, how
much should the programmer expect his annual pay to decrease? Round your answer to the nearest dollar

Answers

Answer: $1133

Step-by-step explanation:

Programmer's pay for 51 weeks will be

(51 * 58916) / 52 = 57,783

Loss in salary

= 58916 - 57783 = 1133

Consider the diagram. Lines a and d are?

Answers

Answer:

perpendicular

Step-by-step explanation:

They form a 90 degree angle

which of the following descriptions represents the transformation shown in the image?​

Answers

Answer:

C. left two units, up three, reflection on the x = -1

Help me plsssss. Exterior angles definitions

Answers

Step-by-step explanation:

an angle that is complementary to one of the interior angles of the triangle because interior angle+exterior angle add up to 180°

What is the nth term rule of the quadratic sequence below?
6, 20, 40, 66, 98, 136,...

Answers

3n^2 + 5n - 2



~Hope this helps.

the two polygons shown are similar what is the correct similarity statement​

Answers

Answer:

The middle choice

Step-by-step explanation:

The first figure starts on the upper right corner and goes around from A to B to C to D.

So the smaller figure should do the same thing. It should start from the upper right (S) and go through T U V. Which it does.

Answer:

Determine whether each pair of polygons is similar

Step-by-step explanation:

Similar Polygons: 2 Polygons are similar if and only if their corresponding angles are congruent & Corresponding sides are proportional. hope this helps you :)

What is (4h^2b)^2 written in its simplest form?

Answers

Answer:

16h⁴b²

Step-by-step explanation:

(4h²b)²= 4²(h²)²b²= 16h⁴b²

The vet told Jake that his dog, Rocco, who weighed 55 pounds, needed to lose 10 pounds. Jake started walking Rocco every day and changed the amount of food he was feeding him. Rocco lost half a pound the first week. Jake wants to determine Rocco’s weight in pounds, p, after w weeks if Rocco continues to lose weight based on his vet’s advice.

The equation of the scenario is
.

The values of p must be
.

Answers

This is technically impossible in real life, but we are assuming in this case that Rocco is going to constantly lose half a pound per week. Therefore, we can model this scenario using this equation:

Rocco's current weight = initial weight - (half pound per week * # weeks)

p = 55 - 0.5*w

Now if we follow the vet's advice than Rocco needs to lose 10 pounds making his new weight 55-10 = 45 pounds which means p = 45 and it would take 20 weeks (w=20)

Answer:

The vet told Jake that his dog, Rocco, who weighed 55 pounds, needed to lose 10 pounds. Jake started walking Rocco every day and changed the amount of food he was feeding him. Rocco lost half a pound the first week. Jake wants to determine Rocco’s weight in pounds, p, after w weeks if Rocco continues to lose weight based on his vet’s advice.

The equation of the scenario is p=55-0.5w

The values of p must be any real number 45 to 55

What is the perimeter P of △DEF to the nearest whole number?

A triangle DEF. The length of DF is 10. The base angle E is 49 degrees and F is 42 degrees.

Answers

Answer:

perimeter of ΔDEF  ≈ 32

Step-by-step explanation:

To find the perimeter of the triangle, we will follow the steps below:

First, we will find the length of the side of the triangle DE and FF

To find the length DE, we will use the sine rule

[tex]\frac{sin E}{e} = \frac{sin F}{f}[/tex]

angle E  = 49 degrees

e= DF = 10

angle F = 42 degrees

f= DE =?

we can now insert the values into the formula

[tex]\frac{sin 49}{10}[/tex] = [tex]\frac{sin 42}{f}[/tex]

cross-multiply

f sin 49° = 10 sin 42°

Divide both-side by sin 49°

f = 10 sin 42° / sin 49°

f≈8.866

which implies DE ≈8.866

We will now proceed to find side EF

To do that we need to find angle D

angle D + angle E + angle F = 180°  (sum of interior angle)

angle D + 49° + 42° = 180°

angle D + 91° = 180°

angle D= 180° - 91°

angle D = 89°

Using the sine rule to find the side EF

[tex]\frac{sin E}{e} = \frac{sin D}{d}[/tex]

angle E = 49 degrees

e= DF = 10

ange D = 89 degrees

d= EF = ?

we can now proceed to insert the values into the formula

[tex]\frac{sin 49}{10}[/tex] = [tex]\frac{sin 89}{d}[/tex]

cross-multiply

d sin 49° = 10 sin 89°

divide both-side of the equation by sin 49°

d= 10 sin 89°/sin 49°

d≈13.248

This implies that length EF = 13.248

perimeter of ΔDEF = length DE + length EF + length DF

                                   =13.248   +  8.866  + 10

                                    =32.144

                                     ≈ 32 to the nearest whole number

perimeter of ΔDEF  ≈ 32

Find the number missing from the following equivalent fractions:4/11= ?/66

Answers

Answer:

24

Step-by-step explanation:

whatever you add or divide to the numerator, you do to the denominator. the same occurs the other way round,too.

If 11 is multiplied by 6 to give 66.

then, 4 should also be multiplied by 6, for the equivalent fraction. This gives you 24.

Hope this helps. Good Luck

The missing number is 24.

please see the attached picture for full solution

Hope this helps..

Good luck on your assignment..

Which fraction is less than the fraction represented by the model?

Answers

Answer:

fraction represented by model = 5/8

fraction less than model = 2/4

The fraction that is less than the fraction represented by the model is 2/4, the correct option is D.

What is a Fraction?

A fraction is a number that is the part of the whole.

It is represented in the form of p/q, where q is not equal to zero.

The figure has a circle in which sections have been divided.

There are some shaded sections and some non-shaded sections.

The number of shaded section is 5.

The number of non-shaded section is 3.

The total sections are 8.

The fraction that is represented by the model is 5/8.

The model shown is a visual way to represent and understand fractions.

The fraction = 0.625

The fraction in the options are,

3/4 = 0.75

11/16 = 0.6875

13/16 = 0.8125

2/4 = 0.5

0.5 < 0.625

2/4 < 5/8

To know more about Fraction

https://brainly.com/question/10354322

#SPJ5

the function f is defined by f(x) = 3x-7/8.
(1) Evaluate f(-2) and f(2 5/6).
(2) final the value of x for which f(x)=5

Answers

Answer:

-55/8, 61/8, x=47/24

Step-by-step explanation:

not sure if you meant f(25/6) or f(2 5/6), I just assumed it was the second one

but basically just sub in the value into the eqn given

2 stacked cubed. One cube has side lengths of 24 inches, and the second cube has side lengths of 12 inches. What is the total volume of the cubes?

Answers

Answer:

15552 in^3

Step-by-step explanation:

Volume formula for a cube of side length s:  V = s^3.

Then the total volume here is:

(24 in)^3 + (12 in)^3 = 15552 in^3

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!

Answers

I believe its a because it goes up 4 times and half

Answer:

d) none of the above

Step-by-step explanation:

g is increasing in the intervals:

- 4.5<x<-3.5

and

-1<x<3.5

These are not covered in the answer options

options a) and c) are partially correct

Answer: d) none of the above

What is Three-fourths divided by one-sixth?

Answers

Answer:

9/2 or 4.5

Step-by-step explanation:

3/4 divided by 1/6 changes into multiplication and you switch one of the denominators

it becomes 3/4 times 6/1 which is 18/4 when simplified, it's 9/2

Answer:

9/2

Step-by-step explanation:

Anybody please do e for me please

Answers

Answer:

1. 200 cm

2. 2463.01 cm

3. 1275 cm

4. 346.67 cm

5. 1526.81 cm

Step-by-step explanation:

volume for square is l times w times h

volume for cylinder is pi times r times 2 times h

volume for square pyramid is a2h/3

volume for rectangular pyramid is l times w times h divided by 3

What is the length of AC? And Length of AB?

Answers

Answer:

The length of AC is 5 units. The length of AB is 3 units.

Step-by-step explanation:

Hi...Could u plz help me...

Answers

Answer:

B and D I dont have time to explain

I am sorry.

Thanks for question

Evaluate A^2-B^2 for A=3 and B=-4.

Answers

Answer:

7

Step-by-step explanation:

3^2 = 9

(-4)^2 = 16

16-9= 7

what are the values a b and c in the quadratic equation 0 equals 5x - 4x^2- 2​

Answers

Answer:

A: -4

B: 5

C: -2

Step-by-step explanation:

The equation we are given is 5x-4x²-2. We can rewrite this in order of standard form.

-4x²+5x-2

Now that we have the standard form, we can find a, b, and c. A, B, and C ar ethe coefficients of each term.

A: -4

B: 5

C: -2

A card is drawn from a well shuffled pack of 52 cards. Find and match the probability of:

A 2 of Spades 1/13

A Jack 1/26

A red King 1/4

A Diamond suit 1/52

Answers

2 of Spades: There's only one 2 of spades card in the deck, so the probability of choosing the 2 of spades is 1/52.

A Jack: There are 4 Jacks in the deck, so the probability of choosing a jack is 4/52, or 1/13.

A red King: There are 2 red kings in the deck, so the probability of choosing one is 2/52, or 1/26.

A Diamond suit: There are 13 diamond cards in the deck, so the probability of choosing one is 13/52, or 1/4.

We are given with height= 9 ft. Length=10 ft. Wall Brackets: 48-inch cost $12.95 68-inch cost $16.95 Distance from brackets from ends= 1 foot maximum . What is the total cost of the brackets, before tax?

Answers

Answer:

$89.7

Step-by-step explanation:

We are given with

height = 9 feet

length = 10 feet

wall brackets:

48-in costing $12.95

60-in costing $16.95

distance of brackets from ends = 1 foot

maximum distance between brackets= 24 inches

The brackets are

48/12 = 4 feet

and

60/12 = 5 feet

One of each must be used to cover the height of the shelf

The length of the shelf is

60 inch

subtracting 1 in from each side for the allowance

60 - 2 = 58 in

Dividing by 24 inches

58/24 = 2.41 ~ 3 

The total cost is

($12.95 + $16.95) * 3 = $89.7

The total cost of the brackets is $89.7

How do I do this 3x + 5.2 = 2 - 5x

Answers

Answer:

x = -.4

Step-by-step explanation:

3x + 5.2 = 2 - 5x

Add 5x to each side

3x+5x + 5.2 = 2 - 5x+5x

8x +5.2 = 2

Subtract 5.2 from each side

8x +5.2 - 5.2 = 2-5.2

8x = -3.2

Divide each side by 8

8x/8 = -3.2/8

x = -.4

Answer:

x= -0.4

Step-by-step explanation:

3x+5.2=2-5x

Add 5x to both sides

8x+5.2=2

Subtract 5.2 from both sides

8x= -3.2

Divide both sides by 8

x= -0.4

I just realized my answer is really similar to Wegnerkolmp2741o so sorry if it seems like I'm copying them.

Solve each equation for x 3х- 12у= 27

Answers

Answer: x=4y+9

Explanation

Step 1: Add 12y to both sides

3x-12y+12y=27+12y

3x=12y+27

Step 2: Divide both sides by 3

3x/3=12y+27/3

x=4y+9

Someone please help me :( I’m struggling

Answers

Answer:

ax - by = k

Step-by-step explanation:

A literal equation is an equation made up of variables representing numbers that can be changed

ax - by = k is a literal equation because there are no numbers

Letters stand for each item

Write p(x) = 21 + 24x + 6x2 in vertex form.

Answers

Answer:

p(x)= 6(x+2)^2 -3

Step-by-step explanation:

Start with equation reworded

6x^2+24x+21

Factor

6(x^2+4x+7/2)

Complete the square

6(X^2 + 4x + 2^2 - 2^2 + 7/2)

Use binomial formula

6((x+2)^2 - 2^2 + 7/2)

Simplify

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

Expand

6(X+2)^2 - 3

Answer:

p(x)= 6(x+2)^2 -3

Step-by-step explanation:

Find the slope of the line that passes through (2, 12) and (5, 10).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

The right answer is -2/3

please see the attached picture for full solution

Hope it helps

Answer:

[tex]slope = - \frac{2}{3} [/tex]

Step-by-step explanation:

[tex](2 \: \: \: ,\: \: \: 12) = > (x1 \: \: \: , \: \: x2) \\ (5 \: \: \: ,\: \: \: 10) = > (y1 \: \: \: , \: \: \: y2)[/tex]

[tex]slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{12 - 10}{2 - 5} \\ = \frac{2}{ - 3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Which equation represents a proportional relationship?

y = 5x + 2
y = 100 x
y = 16x2
y = 6x

Answers

Answer:

5x+2

Step-by-step explanation:

I think it is 5x+2

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