PLZ HELP FAST!!
Which is a condition needed to apply Cavalieri’s Principle to compare the volume of two solids? Select all that apply.

Both solids have a square base
Both solids are spherical
Both solids have the same height.
Both solids have the same base area.
Both solids have the same base shape.

Answers

Answer 1

Cavalieri's principle states that if two solids of equal height have equal cross-sectional areas at every level parallel to the respective bases, then the two solids have equal volume.


Related Questions

A rabbit population triples every year. If the rabbit population starts with 4 rabbits, then how many will there be in 6 years?

Answers

Answer:

there would probably be around 60 rabbits

What is the mean for the data set below?
14
54
54
35
25
34
21
23
A 25.1
B 29.5
C 32.5
D 40.0



O
С
D

Answers

Answer:

c) 32.5

Step-by-step explanation:

the formula for the mean of a data set is-

average= sum/count

14+54+54+35+25+34+21+23=260

so now we have our sum- 260

for the count, we just have to count how many numbers there are-

8

average= sum/count

=260/8

=32.5

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

y is an integer.
Write down all the solutions of the inequality. -8 < 2y < 0

Answers

Answer:

y = - 3, - 2, - 1

Step-by-step explanation:

Given

- 8 < 2y < 0 ( divide each interval by 2 )

- 4 < y < 0

Then y can equal - 3, - 2, - 1

If the questions are correct I will give brainliest!

Answers

Answer:

Step-by-step explanation:

13. 2/3

14. 0

15. 5/2

Can someone please help! I'll do anything you want!

Can the sides of a triangle have lengths 3, 7, and 13?
Yes or No

Answers

Answer:

No

Step-by-step explanation:

Since the hypotenuse is 13, the 2 legs' sum HAVE to be GREATER than the hypotenuse or else it is not a triangle.

"A triangle is valid if sum of its two sides is greater than the third side."

Factor n2 + 8n + 12 completely.

Answers

Answer:

(n+2)(n+6)

Step-by-step explanation:

[tex]n^2+8n+12\\\\[/tex]

Break the expressions into groups

[tex]=\left(n^2+2n\right)+\left(6n+12\right)\\\\[/tex]

Factor out n from n^2+2n

Factor out 6 from 6n+12

[tex]=n\left(n+2\right)+6\left(n+2\right)[/tex]

Factor out common term : n+2

[tex]=\left(n+2\right)\left(n+6\right)[/tex]

The factors of the quadratic equation by applying the factorization method are (n + 2) and (n + 6).

Given that,

The quadratic equation is,

n² + 8n + 12

Used the factorization method to factor the quadratic equation.

Now, factor the equation,

n² + 8n + 12

n² + (6 + 2)n + 12

n² + 6n + 2n + 12

n (n + 6) + 2(n + 6)

(n + 2) (n + 6)

Therefore, the factors of the equation are (n + 2) and (n + 6).

To learn more about the quadratic equation visit:

brainly.com/question/1214333

#SPJ6

hey HELP PLEASE BRAINLIEST

Answers

He would have to multiply 2x12x2.54 (so that would be the third answer)

The orange highlighted answer is right bc in order to get the number of centimeters in a foot youd multiply the 2.54*12 and then multiply that by 2 to get number of centimeters in two feet

hope it helps :)

The height, h, of a baseball thrown upward with an initial velocity of 10
feet per second from 6 feet above the ground is modeled by the function
h = -16x2 + 10x + 6, where x is the time in seconds. How long does it
take before the ball hits the ground?

Answers

Answer:

1 second

Step-by-step explanation:

use the general quadratic formula

WILL GIVE BRAINLIEST!
The slope of a line is 2/5
What is the slope of any line perpendicular to this line? (If an answer is undefined, enter UNDEFINED.)

Answers

Step-by-step explanation:

Explanation:

First, we must solve the equation for y to determine the slope: y = 2x + 3/2

By looking at the coefficient in front of x, we know that the slope of this line has a value of 2. To fine the slope of any line perpendicular to this one, we take the negative reciprocal of it:

slope = m , perpendicular slope = – 1/m

slope = 2 , perpendicular slope = – 1/2

Answer:

the slope would be -5/2

Explanation:

the perpendicular slope of a line is the negative reciprocal and the negative reciprocal of 2/5 is -5/2

In seattle washington, it rained 184 days in 2001. What percent of days did it rain.

Answers

Answer:

50.41%

Step-by-step explanation:

It rained 184 days out of 365:

184/365*100% = 50.41%

It rained 50.41% of days

Item 11
A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up. How much higher is the top of the ladder now? (Hint: Let 8−2x be the distance from the base of the ladder to the wall.)

Answers

Answer:

4 ft higher

Step-by-step explanation:

Since the ladder is 10 ft long and its top is 6 feet high(above the ground), we find the distance of its base from the wall since these three (the ladder, wall and ground) form a right angled triangle. Let d be the distance from the wall to the ladder.

So, by Pythagoras' theorem,

10² = 6² + d²  (the length of the ladder is the hypotenuse side)

d² = 10² - 6²

d² = 100 - 36

d² = 64

d = √64

d = 8 ft

Since the ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up.

Now, let x be the distance the top of the ladder is moved, the new height of top of the ladder is 6 + x. Since the base moves twice the distance the top of the ladder moves up, the new distance for our base is 8 - 2x(It reduces since it gets closer to the wall).

Now, applying Pythagoras' theorem to the ladder with these new lengths, we have

10² = (6 + x)² + (8 - 2x)²

Expanding the brackets, we have

100 = 36 + 12x + x² + 64 - 32x + 4x²

collecting like terms, we have

100 = 4x² + x² + 12x - 32x + 64 + 36

100 = 5x² - 20x + 100

Subtracting 100 from both sides, we have

100 - 100 = 5x² - 20x + 100 - 100

5x² - 20x = 0

Factorizing, we have

5x(x - 4) = 0

5x = 0 or x - 4 = 0

x = 0 or x = 4

The top of the ladder is thus 4 ft higher

5k(k-9)=0 solve for k

Answers

Step-by-step explanation:

5k²-45= 0

5k²= 0 +45

k²= 45/5

k²= 9

or

k = 9/2 = 4.5

i really need help please!!

Answers

Answer:

q te ayude tu papá o mamá ajjajajajajajajajajajajajajajaja

Tom started a stamp collection with 32 stamps each week he added 8 to his collection. Rhea started with 102 stamps each week she gave away 6

Answers

Answer:

The total number of stamps that Tom collect at the end of X weeks is

[tex]32 + 8 * X[/tex]

Step-by-step explanation:

Complete question

Tom started a stamp collection with 32 stamps. Each week he added 8 stamps to his collection.

Rhea started her stamp collection with 102 stamps. Each week she gave away 6 stamps.

Write an equation to represent the number of stamps in Tom’s collection based on the  number of weeks he has been collecting stamps.

Solution

Let "X" be the number of weeks for which Tom collected the stamps

The number of stamps that Tom had at the time of starting the collection [tex]= 32[/tex]

It is given that he collects 8 stamps per week

So the total number of stamps that Tom collect at the end of X weeks is

[tex]32 + 8 * X[/tex]

Due tonight *no links*

Answers

Answer:

∠x = 36°

Step-by-step explanation:

∠a = 180° - 106° = 74°

=> ∠b = 180° - 40° - 74° = 66°

=> ∠c = 180° - 66° = 114°

=> ∠d = 180° - 114° - 30° = 36°

=> ∠x = ∠d = 36°

Write the expanded form of 4 (14a + b - 6).

Answers

Answer:

here is your ans

Step-by-step explanation:

14a=b-6=14a+b-6

Answer the question in the picture?

Answers

Answer:

19

Step-by-step explanation:

we know the sides of a rhombus is all equal, so:

4(2x+4)=168

8x+16=168

8x=152

x=19

Paula purchase 3 dvd and 7 cds and spent between 90 and 100. Each dvd costs the same amount the price of cd is 10 select all amounts that could be the price of the dvd

Answers

The options aren't given, however, the range of amount spent could be calculated

Answer:

Kindly check explanation

Step-by-step explanation:

Paula purchase 3 dvd and 7 cds and spent between 90 and 100. Each dvd costs the same amount the price of cd is 10 select all amounts that could be the price of the dvd

Given that :

DVD costs the same amount

Number of DVD's = 3

Cost of cds = 10

Number of cds = 7

Total cost of cd's = 10 * 7 = 70

Let the price of DVD = x

Total amount spent = 90 - 100

Lowest price of DVD :

(amount spent - price of cd) / number of dvd

(90 - 70) / 3 = 20 /3 = 6.667

Highest price :

(100 - 70) / 3 = 30 / 3 = 10

Hence the pice of each DVD will range between /

6.6666 and 10.

Hence, prices listed within the range above are possible.

A jar contains 25 gray, 7 pink, and 22 orange marbles. A marble is drawn at random.
P(not gray).

Answers

Answer:

25 grays, 7 pink, 22 orange

total marbles- 54

marbles that are not grey- 29

P(not grey): 29/54

What is the simplified form of the following expression? 3sqrt 4x/5

Answers

the answer is (∛(100x))/5 :))

HURRYYYYY PLEASEEEEE

Find the area of the circle. Use 3.14 for p.

Answers

Answer: B

Step-by-step explanation:

Lisa's bedroom is 6 meter long and 4 meters wide how much carpet will Lisa need to cover the whole floor of her bedroom?

Answers

Answer:

24 m²

Step-by-step explanation:

Given that:

Dimension of bedroom = 6 meter by 4 meter

To obtain how much carpet Lisa would need to cover the floor of her bedroom, we calculate the area of the room.

From the dimension given, the area of the room can be obtained using the Area if a rectangle formular :

Area of room = Length * width

Area of room = 6m * 4m

Area of room = 24 m²

Carpet required is 24m² of carpet

Answer:

24m

Step-by-step explanation:

if you times 6 and 4 that equals 24 really easy problem.

Find the area of each composite figure.
Round to the nearest TENTH if necessary.

Answers

The area of the composite figure is 54.

PLS HELP ASAP ILL GIVE BRAINLIEST
find the base of a parallelogram with a height of 15m and an area of 330m​

Answers

Answer:

22

Step-by-step explanation:

What you need to do to find the base is divide the area by the height, which would be 330/15! Hope this helps! :)

Find the diameter of a circle with a circumference of
3724.7 km
Use your calculator's value of [pi). Round your answer to
the nearest tenth.
diameter =

Answers

3724.7/pi=1190
diameter=1190 km

During the 1990s, the forested area of Guatemala decrelised at an average rate of 1.7%.
If the forested area in Guatemala in 1990 was about 34 400 square kilometers, write an equation for the forested area for t years
after 1990. If this trend continues, predict the forested area in 2015.

Answers

Answer:

A is correct answer

Step-by-step explanation:

Here, we want to write an equation for a depreciation

The general form is;

V = I( 1 - r)^t

V is the present value in 2015

I is the initial value in 1990 which is 34,400

r is the decrease rate which is 1.7/100 = 0.017

t is the difference in years which is 2015-1990 = 25

Substituting these values, we have

V = 34,400(1-0.017)^25

V = 22,407.65 km^2

Help me plz I don’t get it

Answers

Answer:

3.33

Step-by-step explanation:

each cube represents 1, so each flat represents 0.1 and each unit represents 0.01. so if there are 3 of each, it would be 3+0.3+0.03 which equals 3.33

Answer:

3.33

Step-by-step explanation:

Each cube in this picture is equal to 1 unit as the diagram in the upper right corner shows.

We have 3 cubes so -> 1 + 1 + 1 = 3

We also have 3 squares that are 1/10th of a cube.

1/10 * 1 = 0.1  so each square is equal to 0.1 unit.

We have 3 squares so it would be 0.1 + 0.1 + 0.1 = 0.3

We have 3 tiny squares that are 1/100th of a cube.

1/100 * 1 = 0.01 so each tiny square is equal to 0.01 unit.

We have 3 tiny squares so it would be 0.01 + 0.01 + 0.01 = 0.03

Add everything up: 3 + 0.3 + 0.03 = 3.33

There are 70 dogs and 55 cats at the shelter. 15 of these animals get adopted . What is the percent of the animals that got adopted

Answers

Answer: 12%

Step-by-step explanation:

Given

There are 70 dogs and 55 cats at the shelter

If 15 animals are adopted

Total no of animals =70+55=125

Percent of animals adopted is given by

[tex]\Rightarrow \dfrac{\text{Animals adopted}}{\text{Total animals}}\times 100\\\\\Rightarrow \dfrac{15}{125}\times 100=12\%[/tex]

Please help me check if it's right! Please give the right answers!

Answers

Answer

15

Step-by-step explanation:

12-3²+6÷(10÷5)x2²

12-9+6÷2x4

12-9+3x4

12-9+12

3+12

15

This is the only one I saw wrong. you added wrong

The shapes of the horizontal cross-sections of the cylinder below are not all
congruent.
A. True
B. False
SUBMET

Answers

Answer:

False

Step-by-step explanation:

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