Consider the following prisms, whose bases are both squares.

Naomi tried to use Cavalieri's principle to show that the two figures have the same volume.
"The base areas are the same. Therefore, corresponding cross-sections have the same area. So the volumes must be the same."
What is the first mistake Naomi made?

Consider The Following Prisms, Whose Bases Are Both Squares.Naomi Tried To Use Cavalieri's Principle

Answers

Answer 1

Answer: C: she did not establish that heights are the same

Answer 2

Naomi mistaken about the bases.

What is difference between square and a rhombus?

A square and a rhombus both have sides equal in length. But square has all its angles equal to 90 degrees, but a rhombus only has its opposite angles equal.

Every rhombus is not a square, The reason is that rhombus does not contain any right angles, so it would not a square.

Given two parallel piped figures

Naomi is mistaken by the base area as the bases are one is a a square and other one is a rhombus.

Hence, Naomi mistaken about the bases.

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Related Questions

Using The exterior angle Theorem solve for the identified angle

Answers

Answer:

107

Step-by-step explanation:

180-(65+42) = SQR = 73

180-73 = 107

help help help help ..:..

Answers

Answer:

Option 3 is the correct answer

Solve The Quadratic Equation by the Square Root Method.

(x + 2)^2=25

Answers

Answer:

x=-7, x=3

Step-by-step explanation:

Seperate into possible cases

Solve the equation

Answer:

x = 3    or x = -7

Step-by-step explanation:

(x + 2)^2=25

Take the square root of each side

sqrt((x + 2)^2)=sqrt(25)

x+2 = ± 5

Subtract 2 from each side

x+2-2 = -2 ±5

x = -2 +5  or x = -2 -5

x = 3    or x = -7

Ravi's mass is 31 kg. His brother, Rajar, is 10 kg heavier than Ravi.
Find the ratio of Rajar's mass to their total mass.​

Answers

Answer:

31 : 41

Step-by-step explanation:

Given that Ravi's mass is 31kg . And his brother is 10 kg heavier than him . So his weight will be 31kg + 10kg = 41kg. So we have ,

[tex]\begin{cases}Mass \ of \ Ravi = 31kg \\ Mass of Brother \ = \ 41kg \end{cases}[/tex]

Therefore their total mass = 31 + 41 = 72 kg .

Therefore the ratio will be 41:72 .

The ratio of Rajar's mass to their total mass is 41:72.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, Ravi's mass is 31 kg.

His brother, Rajar, is 10 kg heavier than Ravi.

Weight of Rajar is 31+10=41 kg

Total weight =31+41

= 72 kg

The ratio of weights = 41:72

Therefore, the ratio of Rajar's mass to their total mass is 41:72.

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pip rolls a fair dice 150 times. how many times would pip expect to roll an odd number?

Answers

Answer:

25

Step-by-step explanation:

Since each of the six possible outcomes is equally likely, you can expect to get each of the outcomes 150/6 = 25 times.

if this is wrong, let me know so I can fix it

hope this helps:)

Haley's dad is making a large pot of vegetarian chili and a small pot of beef chili. He is cooking the chili in two cylindrical pots. The large pot has a diameter of 9 inches and is 10 inches tall. The small pot has a diameter of 7 inches and is 6 inches tall. What is the volume of the large pot?
Use ​≈3.14 and round your answer to the nearest whole number.
cubic inches
What is the difference in the volumes of the large pot and the small pot?
Use ​≈3.14 and round your answer to the nearest whole number.
cubic inches

Answers

Answer:

Part A. The large pot has a volume of 636.17 or 636 rounded.

Part B. The small pot has a volume of 230.91 or 231 rounded.

Part C. The difference is 405.26 or 405 rounded.

Step-by-step explanation:

Hope this helps! :)

$60 invested at 7​% compounded continuously after a period of 2 years, after 2 years the investment results in?

Answers

Answer: 8.40 dollars worth of intrest

Step-by-step explanation:

The rectangular prism (on the left) has a volume of 120 in. Find the volume of the rectangular pyramid (on the right) with the same dimensions.
A. 40 in
B. 60 in
C. 120 in
D 360 in

Answers

Answer:

A: 40in

Step-by-step explanation:

Volume of a rectangular pyramid is V= lwh/3

V= ((4)(5)(6))/3

V= 40 in

Twenty words are chosen randomly from a fifth-grade science book. Twenty random words are also chosen from a ninth-grade science book. The length of the words chosen are as follows:

5th Grade Textbook: 2, 4, 3, 6, 5, 5, 3, 7, 8, 4, 4, 1, 5, 2, 4, 1, 1, 4, 5, 3

9th Grade Textbook: 7, 9, 3, 4, 12, 9, 5, 3, 4, 3, 9, 4, 8, 6, 5, 7, 9, 4, 8, 6

By looking at the two data sets, which conclusion is reasonable?

Answers

Answer:

The 9th grade science book has, on average, longer words and, by extension, more difficult material covered than the fifth grade science book.

A garden table and a bench cost $624 combined. The garden table costs $76 less than the bench. What is the cost of the bench?

Answers

Answer:

350

Step-by-step explanation:

Point A and Point B are placed on a number line Point A is located at -20 and Point B is 5 less than Point A. Which statement about Point A is true?​

A) It is located -25 and is to the right of Point A on the number line.

B) It is located at -15 and is to the right of Point A on the number line.

C) It is located at -25 and is to the left of Point A on the number line.

D) It is located at -15 and is to the left of Point A on the number line.

Answers

Answer:

A() it is located _25 and is the right of point A on the number line

Answer:

The Answer is C

Step-by-step explanation:

so if u draw out a number line, point A will be on the left side of the number line or in this case "0". So it is saying "point b is 5 less than point A" so since Point A is "-20" and it says "5 less than point A" so it would be adding up 5 more to -20 so it would be -25. But if it was 5 more than point A it would have been -15. If u take an example of money, like if u owe someone $20, it would be -$20 in your balance, and if he or she says u need to owe me 5 more $'s cuz there was damage now in your balance it would be -25.

**PS: mark me the brainliest, and make sure you practice more of these question**

help please, I need this answer like right now!

Answers

Answer:

A

Step-by-step explanation:

it almost fits all the the dots

Answer:

It's the fist option

aaaaaaaaaaabbbbbbbbbbbccccccc

The price of a watch was increased by 20% to £162.
What was the price before the increase?

Answers

Answer: = £135

Step-by-step explanation:

Original price = 100%

Percentage increase = 20%

New price = 100% + 20% = 120%

If 120% = £162

What about 100% = ?

= (100 x 162) ÷ 120

= 16200 ÷ 120

= £135.

Hope this helps!

If a car travels 18 km in 15 minutes, find its speed in m/s.

Answers

Answer:

20 m/s

Step-by-step explanation:

Speed = distance / time

distance = 18 km = 18 000 mtime = 15 mins = 900s

Speed = 18 000 / 900

speed = 20 m/s

6×?×3=90 what's supposed to go in the ? Slot

Answers

Answer:

5

Step-by-step explanation:

6 x 3 = 18

90 / 18 = 5

Answer: 5

Step-by-step explanation:

I need help with this question

Answers

Answer:

B (39)

Step-by-step explanation:

Using the Pythagorean theorem (a^2+b^2=c^2) and X=BC length

15^2+36^2=x

225+1296=x

√1521=x

x=39

Answer:

B.

Step-by-step explanation:

The Pythagorean Theorem

a^2+b^2=c^2

In this case it's c^2=a^2+b^2

c^2=15^2+36^2

c^2=225+1296

c^2=1521

c= the square root of 1521

c=39

So...

the length of line segment BC is 39

Please help I’ll make you the brainiest

Answers

1st for # 3
2nd # 1
3rd # 4
And lastly 4th for #2

PLEASEEEE HELPPPPP ME !! :)

Answers

The last one looks right

Answer:

ok ok, i think it's the last one

Step-by-step explanation:

7y+4×8 = 8-5y+132 answer fast

Answers

Answer:

Step-by-step explanation:

y= 9

what is 13r - 13r?
ASAP pls

Answers

Answer:

0

Step-by-step explanation:

0 would be the answer

Subtract 13r from 13r

Equals 0

Please help thanks! :)

Answers

Answer:

120

Step-by-step explanation:

just put the triangle in the empty space and you get a rectangle

12×10=120

Help please I just need an explanation

Answers

Answer:

Step-by-step explanation:

the number of tournaments, which you are supposed to fill in, is supposed to represent the number of times he caught a specific number of fish. for example, if the number of fish was 25, he caught 25 fish during one of his tournaments, so you would fill in 1 beside the number 25.

Candy store A sells bags of candy for a flat fee of $5 plus $12 per pound. Candy store B sells their candy for $6 plus $10 per pound. Which inequality matches when Store A will make more money than Store B? Response area

Answers

Answer:

store b because the sold more candy

then store a

how many calories burned in 1 hour of jumping jacks? If 10 minutes of jumping jacks is 100 calories burned?

Answers

Answer:

600 calories

Step-by-step explanation:

60/10 = 6

6 x 100 = 600

Answer:

an hour is 60 minutes. 10 times 6 gives you 60. 100 times 6 gives you 600.

You start at (0, -2). You move left 3 units and down 2 units. Where do you end?​

Answers

Answer:

(3, -4)

Step-by-step explanation:

Hope This Helps! : )

A hemisphere-shaped security mirror fits exactly inside a rectangular prism
box with a square base that has edge length 10 inches. What is a reasonable
estimate for the volume of this mirror?
What is a reasonable estimate for the volume of this mirror? *
Less than 500 cubic inches. The volume of the box that the mirror fits in is 102.5, and
the mirror does not take up all the space in the box.
Less than 12511 cubic inches. The volume of the cylinder that the mirror fits in is ri(5)2
*.5, and the mirror does not take up all the space in the cylinder.
More than 125/31 cubic inches. The volume of the cone that fits in the mirror is
131(5)2.5, and the mirror is larger than the cone.
O All of the above

Answers

The answer is a. Less than 500 cubic inches.

In the equation y = x - 5, the slope is

Answers

Answer:

the slope is x or 1x

Step-by-step explanation:

i hope this helps :)

Whoever answer correctly with NO file gets brainliest.

Answers

Answer:

A

Step-by-step explanation:

for the number to be greater than 11 x cannot be negative so we can rule out C and D. 0 does not work as x so we can rule out B. we are left with A as the answer.

A) {6,11,15}

Correct answer above

Solve both please I cannot find the answer

Answers

Step-by-step explanation:

the rate of change in A

10-5/4.5-3 .5

=5.

but where is the function B??

just pick two y values and it's corresponding x values

the rate of change is equal to the gradient .

change in y values divided by change in the x values.

Which symbol correctly compares the mixed numbers?
6 3/8 ? 6 15/24

Answers

Answer:

63/8

Step-by-step explanation:

good luck. these numbers are confusing because 6 3/8can't be simplified yet 6 15/24can be simplified so we can't say it is a 6 15/24 the only answer remaining is 6 3/8.

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