1. Could you use an inscribed prism to derive the volume of a hemisphere? Why or why not? Are there any other ways you could approximate a hemisphere, and what problems would you encounter in finding its volume?
2.Could you use a circumscribed regular n-gon as the base of a pyramid to derive the formula for the volume of a cone? Explain.

Answers

Answer 1

We can always get the volume of the figure whenever we get enough data to recreate that considered figure, because it provides us with necessary measurements needed for finding the volume.

When can we find the volume of a considered figure?

For finding volume of the considered figure, we somehow needs measurement of its correct dimensions by which we would be able to recreate the figure. By any means, if we could get enough measurement, then we'd be able to characterize the figure, and thus, get its volume.

Case 1. Could you use an inscribed prism to derive the volume of a hemisphere? Why or why not? Are there any other ways you could approximate a hemisphere, and what problems would you encounter in finding its volume?

Yes, if the prism fits perfectly, and we know about the prism, then it would tell us about the radius of the hemisphere. For example, we can fit a cubic prism inside it, and diagonal of that cube's base will give diameter of that hemisphere.

Case 2.Could you use a circumscribed regular n-gon as the base of a pyramid to derive the formula for the volume of a cone?

Yes, because the the base of the pyramid can give the details about radius of the cone's base, and due to the n-gon being regular and circumscribed, the height of the cone would be same as that of the height of that n-gon.

Thus, we can always get the volume of the figure whenever we get enough data to recreate that considered figure, because it provides us with necessary measurements needed for finding the volume.

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Related Questions

Sarah paid $0.75 for 3 limes. How much should she expect to pay for 5 limes at the same price?
O $0.50
O $1.00
O $1.25
O $2.25

Answers

Answer:

$1.25

Step-by-step explanation:

0.75 = 3/4

3/4 ÷ 3 = 1/4

1/4 = 0.25

0.25 x 5 = 1.25

Answer:

$1.25

Step-by-step explanation:

Find the scale factor of quad JKLM to quad ABCD

Answers

Answer:

1:8 or 1/8

Step-by-step explanation:

That's your answer.....

1:8or1/8 bc that’s the answer

The formula for finding the area of a circle is A \piπD B 2\piπr C \piπr^2 ​2 ​​ D \piπD^2 ​2 ​​

Answers

Answer:

Area of a circle = πr²

Step-by-step explanation:

The formula used for obtaining the area of a circle denoted as A is : πr²

Where, π is taken as a 22/7 (constant)

r = Radius of the circle, which is half the diameter of the circle

Hence,

Area of a circle = πr²

Quadrilateral HGFJ is a rhombus. GF = 45 cm and mZGHK= 28°. K к What is JF and mZKGH? ? H Н Enter your answers in the boxes. JF = cm O mZKGH =​

Answers

Answer:

JF=45

KGH=62

Step-by-step explanation:

since the quadrilateral is a rhombus, its sides are equal GF=FJ and so on

Diagonals of a rhombus bisect each other at 90° angles, to find the missing value we subtract 90+28(the given angle) to get 62

Find the slope please hurry

Answers

Answer:

2

Step-by-step explanation:

What do you think deserves türkey
Write Your own thoughts

Answers

IM GLAD I HELPED!

FIRST LOG OUTTHEN CHANGE THE DOMAIN IF YOU SEE TURKEY AFTER LOG IN / SIGN UP FINALLY RESULTS JOB DONE

Answer:

Hey!

Türkey Server Is [tex]\small\tt{\blue{(eodev.com)}}[/tex]

Which expression is a factor of x² − 5x − 6?

A. x − 1

B. x − 2

C. x − 6

D. x − 3

Answers

Answer:

C

Step-by-step explanation:

w÷9=9-8
what is the answer to this equation

Answers

Answer:

9

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

w÷9 = 9-8

simplify 9-8

x÷9=1

multiply both sides by 9

x=9

what's the answer to this​

Answers

Answer:

125

Step-by-step explanation:

Use your Equation: A= B*H (base x height)

7.8(16)= 124.8

Rounded to the nearest whole number: 125

125

Hope this help you have a good day

A cable that is 42 feet long is divided into lengths in the ratio 3:4. What are the two lengths into which the cable is divided?

Answers

Answer:

18 ft and 24 ft

Step-by-step explanation:

3:4

6:8

9:12

12:16

15:20

18:24, 18+24=42

The two  lengths into which the cable is divided is 18 and 24.

Given that,

A cable that is 42 feet long is divided into lengths in the ratio 3:4.

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

The first length be

[tex]= 42 \times 3 \div (3 + 4)[/tex]

= 18

And, the second length be

[tex]= 42 \times 4 \div (3 + 4)[/tex]

= 24

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For questions 5-9 list all the polygons shown that fit each description.If there could be no such polygon, explain why

Answers

Answer:

5. B, C and E

6. C

7. None

8. A and D

9. F and G

Step-by-step explanation:

See attachment for complete question

5. B, C and E

B, C and E are not parallelogram because they do not have 2 pairs of parallel sides

B and E are trapeziums while C is just a quadrilateral.

6. C

In (5) above, we established that B and E are trapeziums while C is not. This implies that only C is a quadrilateral.

7. None

A square is a parallelogram. So, it is not possible for a shape to be a square and not be a parallelogram.

8. A and D

A is a rhombus. D is a square and will be treated as a rhombus because all sides are equal.

9. F and G

These shapes have 2 pairs of parallel lines but all 4 sides are not equal; only the opposite sides are equal.

Select the two values of x that are roots of this equation.
2x-5=-3x2

Answers

Answer:

Step-by-step explanation:

the surface areas of two cubes have a ratio of 49 to 81. What is the ratio of the edge lengths of two cubes?

Answers

I have no idea literally the only thing I know is pre k answers I literally have an F in math
i think it’s 7 to 9

What is the area of this figure? Nearest tenth. Use 3.14 for pi if needed.

Question in picture

Answers

Answer:

"I hope your pillow is hot on both sides"

Step-by-step explanation:

"I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides"

Simplify:-12(5/6a-7/8)+1/4(3 1/2a-1 2/5)

Answers

Answer:

−49/8a+99/10

( I hope this was helpful ) >;D

Which equation is true?
O (8.4 x 103) = (3 x 102) = 2.8
O (8.4 x 10°) : (3 x 10) = 28
O (8.4 x 10) - (3 x 10') = 25, 200
O (8.4 x 10°) . (3 x 10') = 252,000

Answers

Answer:

(8.4 x 103) = (3 x 102) = 2.8

Step-by-step explanation:

A carton of ice cream has a radius of 11 cm and a height of 30 cm. A scoop of ice cream has a radius of 3 cm. How many cartons of ice cream should Ester order to make 100 scoops?

Answers

Answer:

1 carton

Step-by-step explanation:

The volume of the carton: ~11404 cm^3

The volume of 1 scoop: ~113.1 cm^3

100 scoops --> 113.1 x 100 = ~11310 cm^3

11310<11404 --> ester will need 1 carton because 100 scoops won't fill more than one.

Hope this helped! :)

a construction crew had just finished building a road the road is 6 and 3/5 km long if the crew work for 3 days how many kilometers of the road did they build each day as soon they built the same amount each day write your answer as a mixed number in simplest form ​

Answers

Answer:

2 1/5

Step-by-step explanation:

6 3/5 = 33/5

33/5 ÷ 3 = 11/5  = 2 1/5

solution to 5y\9-y\9 is equal to 8\9?​

Answers

Answer:

[tex]y = 2[/tex]

Step-by-step explanation:

1) Simplify 5y/9 - y/9 to 4y/9.

[tex] \frac{4y}{9} = \frac{8}{9} [/tex]

2) Multiply both sides by 9.

[tex]4y = \frac{8}{9} \times 9[/tex]

3) Cancle 9.

[tex]4y = 8[/tex]

4) Divide both sides by 4.

[tex]y = \frac{8}{4} [/tex]

4) Simplify 8/4 to 2.

[tex]y = 2[/tex]

Hence, the answer is y = 2.

What is the mapping rule for a 180° rotation?

(x, y) → (y, x)
(x, y) → (–y, x)
(x, y) → (y, –x)
(x, y) → (–x, –y)

Answers

Answer:

D

Step-by-step explanation:

Answer:

D.   (x, y) → (–x, –y)

Step-by-step explanation:

I did the assignment it is correct :)

Shondra used four ounces of chocolate
chips to make two dozen cookies. At that
rate, how many ounces of chocolate chips
would she need to make five dozen cook-
ies?

Answers

Answer:

10 ounces

Step-by-step explanation:

2 ounces per dozen cookies

2*5=10

mary need 50 ft of fence to protect her rectangular garden from squirrels. How long and how wide is the 8 ft more than the width length is if the length is 8 ft more than the width

Answers

Answer:

Width of the fence = 8.5 ft

Length of the fence = 16.5 ft

Step-by-step explanation:

Mary need 50 feet of fence to protect her rectangular garden from squirrels. How long and wide is the garden if the length is 8 feet more than the width?

Perimeter of the fence = 2(length + width)

Perimeter of the fence = 50 ft

Width of the fence = x ft

Length of the fence = x + 8 ft

Perimeter of the fence = 2(length + width)

50 = 2{(x+8) + (x)}

50 = 2(x + 8 + x)

50 = 2(2x + 8)

50 = 4x + 16

50 - 16 = 4x

34 = 4x

x = 34/4

x = 8.5

Width of the fence = x ft

= 8.5 ft

Length of the fence = x + 8 ft

= 8.5 + 8

= 16.5 ft

Width of a rectangle is equal to [tex]\boldsymbol{8.5}[/tex] feet and length is equal to [tex]8.5+8=\boldsymbol{16.5}[/tex] feet

Perimeter of a rectangle

A quadrilateral having four right angles is known as a rectangle. It can also be described as a square - shaped quadrilateral (equiangular meaning all angles are identical) or a parallelogram with a right angle.

Let [tex]x[/tex] denotes the width [tex](w)[/tex] of a rectangle.

So,

Length of a rectangle [tex](l)=x+8[/tex]

Perimeter of a rectangle [tex]=50[/tex] feet

[tex]2(l+w)=50\\l+w=25\\x+8+x=25\\2x=17[/tex]

[tex]x=8.5[/tex] feet

So,

width is equal to [tex]\boldsymbol{8.5}[/tex] feet and length is equal to [tex]8.5+8=\boldsymbol{16.5}[/tex] feet

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The number of bus riders was recorded on one route. The data have these values: minimum = 18, lower quartile = 22, median = 26, upper quartile = 29, and maximum = 37.

Which box plot represents the data?

Answers

Answer:

b cause its b

Step-by-step explanation:

Answer:

Step-by-step explanation:

THe guy is correct its B

The ________________ is the horizontal number line on the coordinate grid.

Answers

Answer:

x-axis

Step-by-step explanation:

The horizontal number line is called the x-axis. The vertical number line is called the y-axis. The point where the x- and y-axes meet is the origin.

Hope this helps! <3

The x-axis is the horizontal number line on the coordinate grid.

It is one of the two axes that form the Cartesian coordinate system, used to locate points in a two-dimensional plane. The x-axis runs horizontally from left to right, intersecting with the vertical y-axis at the origin (0,0). It acts as a reference line, assigning numerical values to the horizontal position of points on the grid.

The x-axis allows us to specify the x-coordinate of a point, which represents its horizontal distance from the origin. Positive values are to the right of the origin, while negative values are to the left. By combining the x-axis with the y-axis, we can precisely define the position of any point in the coordinate plane.

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Dr. Rodriguez does an experiment with bacteria. She starts with 100 bacteria and records
the number of bacteria every hour after the experiment starts. Assume that the bacteria
growth continues in the pattern shown.
Bacteria Data
S
900
800
700
600
500
400
300
200
100
0
0
2
3
number of hours (x)
A. How many bacteria will there be 5 hr after the experiment starts? Show your
work algebraically, and explain how you found your answer.
B. Write an exponential equation of the form ya.b to represent this situation
Explain why you chose the values of a and b that you did.
C. Using your equation from Part B. find how many bacteria there will be 8 hr after
the experiment starts. Show your work algebraically, and explain how you found
your answer
number of bacteria ()

Answers

Answer:

500

Step-by-step explanation:

100x<5x=500

How to find the height of a cone when only radius is given

Answers

Answer:

upload the actually picture of the math problem young lady

Fully simplify −10x3y2(9x)

Answers

Answer:

Step-by-step explanation:

-10*9*x^3*x*y^2 = -90x^4y^2

Income East and West of the Mississippi




For a random sample of households in the US, we record annual household income, whether the location is east or west of the Mississippi River, and number of children. We are interested in determining whether there is a difference in average household income between those east of the Mississippi and those west of the Mississippi.



Incorrect answer iconYour answer is incorrect.



(a) State the null and alternative hypotheses. Your answer should be an expression composed of symbols:



Let group 1 be the households east of the Mississippi River and let group 2 be the households west of the Mississippi River.



(b) What statistic(s) from the sample would we use to estimate the difference?



Let group 1 be the households east of the Mississippi River and let group 2 be the households west of the Mississippi River.

Answers

Answer:

H0: μ1 = μ2

H1: μ1 ≠ μ2 ;

xbar1 - xbar2

Step-by-step explanation:

The Null hypothesis should state that there is no difference in average household income between those located east and west of the Mississippi

H0: μ1 = μ2

H1: μ1 ≠ μ2

Statistic from the sample that would be used to estimate difference

Statistic refers to the numerical characteristic derived from the sample.

To estimate the difference in the average household income between those located east and west of the Mississippi, we take the sample mean of the two groups

Group 1, East of Mississippi = xbar 1

Group 2, West of Mississippi River = xbar 2

xbar1 - xbar2

Erika opened a checking account with $150. She wrote checks for $23.76, $6.78, $7.26, and $6.16. She made one deposit of $45.79. She had a service charge (a deduction) of $2.25. What is her current balance ?

Answers

Answer: 154.08$

Step-by-step explanation:

please help due pretty soon​

Answers

The answer is A) y=-2x+75
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