A pyramid and a cone are both 8 centimeters tall and have the same volume.
What statement must be true about the two solids?
АА
A. The area of the cross-sections of the prisms are multiples of each
other
B. The cross-sections of the prisms are the same shape.
C. The vertical cross-sections of the prisms at the same width must
have the same area.
D. The horizontal cross-sections of the prisms at the same height
must have the same area.
SUBMIT

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Answer 2

The horizontal cross-sections of the prisms which is at same height as the cone should have same area.

Therefore Option D is the answer.

What is a Cone ?

A cone is a three dimensional figure that has a circular horizontal structure ,  and vertically tapering up till a point.

It is given that

A Pyramid and a cone both have same volume.

Height of cone is same as Height of Pyramid .

Volume of cone = (1/3)πr²h

Volume of a pyramid =  Area of base * h

When both the volume are equated

as height is same

The Area of the base of the cone =  Area of the base of the Pyramid

The horizontal cross-sections of the pyramid which is at same height as the cone should have same area.

Therefore Option D is the answer.

To know more about Cone

https://brainly.com/question/16394302

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Related Questions

Anishaa has read 125 pages of a 405 page book. She reads 20 pages each day. Write an equation that represents how long it will take her to finish reading this book.

Answers

Answer:

Time it would take her to finish the book = 280 / 20

Step-by-step explanation:

Time it would take her to finish the book = amount of pages left / how many pages she reads in a day

amount of pages left = 405 - 125 = 280

pages she reads in a day = 20

280  / 20

How do you find the area of pentagons like this?

Answers

Answer:

Hi answer: 41

What I do for these is do the shapes separately and use the appropriate formulas! Then add them Up! So the easiest is the rectangle that would be 5 × 4 = 20 then the triangles would be 5 x 1 = 5 then ÷ by 2 = 2.5 but since there are two of those triangles we just multiply by 2 again so 2.5 × 2 = 5 for the last two triangles at the top it would be 4 × 4 = 16 then ÷ by 2 = 8 but since theres 2 triangles multiply by 2 so 8 × 2 = 16 now we add all of these numbers up so 20 + 5 + 16 = 41 Hope that helps!

What is the perimeter of the kite?
a.44
b.140

Answers

Answer:

B.) 140 is your answer for your problem

use the scatter plot and the trend line to show answer a-c. Write an equation for the trend line. predict the value of y when x =21 Predict the value of x when y = 150

Answers

Answer:

See Explanation

Step-by-step explanation:

This question is incomplete, as the required scatter plot is not included in the question. I will answer your question with the attached plot.

Solving (a): The equation

Pick any [tex]two[/tex]  [tex]points[/tex]on the [tex]trend[/tex] line

[tex](x_1,y_1) = (30,40)[/tex]

[tex](x_2,y_2) = (80,70)[/tex]

[tex]y = 0.6x + 22[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

[tex]m = \frac{70 - 40}{80-30}[/tex]

[tex]m = \frac{30}{50}[/tex]

[tex]m = 0.6[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 0.6(x - 30) + 40[/tex]

[tex]y = 0.6x - 18 + 40[/tex]

[tex]y = 0.6x + 22[/tex]

Solving (b): y, when [tex]x = 21[/tex]

[tex]y = 0.6x + 22[/tex]

Substitute [tex]x = 21[/tex]

[tex]y = 0.6 * 21 + 22[/tex]

[tex]y = 12.6 + 22[/tex]

[tex]y = 34.6[/tex]

Solving (c): x when [tex]y=150[/tex]

[tex]y = 0.6x + 22[/tex]

Substitute [tex]y=150[/tex]

[tex]150 = 0.6x + 22[/tex]

Collect like terms

[tex]0.6x = 150 -22[/tex]

[tex]0.6x = 128[/tex]

Solve for x

[tex]x = \frac{128}{0.6}[/tex]

[tex]x = 213.3[/tex]

- A box of specialty baking flour holds 2 kilograms. How many angel food cakes can be made with a recipe that calls for 100 grams of flour?

Answers

Answer:

20

Step-by-step explanation:

1000g = 1 kil0

2 x 1000 = 2000g

Number of cakes = 2000 / 100 = 20

"Mindy has a piece of string that is 5 1/2yd long. She cuts it into pieces that are each 1/2 yd long. Solve the equation 5 1/2 = 1/2x to find out how many pieces of string, x, she gets. Show your work

Answers

Answer:

Step-by-step explanation:

Mindy has a piece of string that is 5 1/2yd long. She cuts it into pieces that are each 1/2 yd long. Solve the equation 5 1/2 = 1/2x to find out how many pieces of string, x, she gets. Show your work

7. If A (6,8) and B (7, 4J are two points,
find the distance between a andB.
any
- Solo,​

Answers

Answer:

√17 units

Step-by-step explanation:

(6, 8) & (7, 4)

To find the distance between two points, we use the distance formula:

[tex]d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }[/tex]

Plug in the values you know.

[tex]d = \sqrt{(7 -6)^2 + (4 -8)^2 }[/tex]

Evaluate the parentheses.

[tex]d = \sqrt{(1)^2 + (-4)^2 }[/tex]

Evaluate the exponents.

[tex]d = \sqrt{(1) + (16) }[/tex]

Add.

[tex]d = \sqrt{(17)[/tex]

Evaluate the square root.

[tex]d=\sqrt{17}[/tex]

This square root is already fully simplified.

Your answer is √17 units.

Hope this helps!

find the quotient of 45÷ 5

Answers

The quotient of 45 divided by 5 is 9

The deposit on one can is $0.05, what is the deposit on 23 cans?

Answers

Answer: $1.15

Step-by-step explanation:

Data 1 can(c)=0.05

23 cans(c)=x

Only step, multiply 23x0.05=1.15

Reason: Since 1 c=0.05, multiplying is by 23(number of cans) will get us the rate of 23 c

Answer: $1.15(Don't forget the dollar sign)

I hope this helps!

Carla is solving a math problem. Which answer shows the equation and solution
to x times 3 plus 4 equals 16? *
3x + 16 = 4; x = -4
3x + 4 = 16; x = 4
3x = 4 + 16; x = 2/3
3(x + 4) = 16; x = 4/3

Answers

Last one 3(x+4) x=4/3

If purple paint is sold by the gallon. How many gallons will we need to buy?

Answers

Answer:

what?

Step-by-step explanation:

Answer:

However much gallons of purple paint you need

Given: sintheta=5/13
Find sin: 2theta

Answers

Answer:

sin 2θ=120/169

Step-by-step explanation:

Naveen earns Rs 55,000 per month .He spends 3/5 of his income every month and saves the rest of the money .Find his monthly savings ?

Answers

Answer:

Rs.22000

Step-by-step explanation:

Given data

Naveen earns Rs 55,000 per month

He spends 3/5 of his income every month

Let us find the amount he spends

=3/5*55,000

=165000/5

=Rs.33000

Hence the savings is

= 55,000-33000

=Rs.22000

Find the volume of a drum with a radius of 7 inches and a height of 15 inches

Answers

Answer:

pi*15*7^2=735pi=2309 (to the nearest whole number)

Liam is planning a trip to Ireland and plans to pay for his airfare using Air Miles. The cost
for a flight from Toronto to Dublin is $625 plus $123 in fees and HST. Liam will need a
return ticket as well which retails for the same cost. Liam also intends to use his Aeroplan
points to get the flight. The cost of a flight in Aeroplan points is 80,000 one way and does
not include additional fees, but does include HST. Liam currently has 120,000 Aeroplan
points and plans to drain his account on these flights. How much will Liam pay for his
trip?
Hint: Sales Tax (HST) in Ontario is 13%

Answers

The best price found on Skyscanner for a flight from Dublin to Toronto is €289. This was found by aggregating across different carriers and is the cheapest price for the whole month. How long does it take to fly from Dublin to Toronto? 7h 20min is the average flight time from Dublin to Toronto. How many airlines fly direct from Dublin to Toronto?

Use the diagram to answer the question.
35.6 m
23.4 m
15.2 m
23.4 m
What is the area of the triangle?
OA. 82.40 m²
B. 97 60 m2

Answers

Answer:

B97.60

Step-by-step explanation:

I got b bc if u add all the number up u get that answer.

what value of x makes 8x - 20 equals to 44?​

Answers

Answer:

x = 8

Step-by-step explanation:

8x - 20 = 44

8x - 20 + 20 = 44 + 20

8x = 64

8x ÷ 8 = 64 ÷ 8

x = 8

You are on a boat and measuring the height of a lighthouse, off in the distance. Your boat is 45ft from the coast. You measure the angle of elevation from your point on the boat to the top of the lighthouse to be 59∘. Find the height of the lighthouse to the nearest foot.

Answers

This is a trigonometry question, where a right angle triangle is created from the boat to the coast to the top of the light house.

x is the angle of elevation
Opposite is the height of the light house
Adjacent is the distance from coast

Tan(x) = opposite/adjacent

tan (59) = opposite/ 45

tan(59) x 45 = opposite

opposite = 74.893

The height of the light house (from sea level) is 75 foot.

help me solve this please

Answers

[tex] \huge\underline{ \underline{ \bf{Answer࿐} }}[/tex]

parallel sides measure :

10 ft -(a)12 ft. -(b)

Area :

44 ft²

height (h) = x

___________________

[tex] \boxed{Area = \frac{1}{2} \times (a + b) \times h}[/tex]

[tex] \dfrac{1}{2} \times (10 + 12) \times x = 44[/tex]

[tex] \dfrac{1}{2} \times 22 \times x = 44[/tex]

[tex]11x = 44[/tex]

[tex] \boxed{ 4 \: \: ft}[/tex]

Therefore, height of Trapezoid is 4 ft

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

Solve.
-7} + (-5) + 8 = 0
6
-21
-4.5
3

Answers

Answer: -4=0

Step-by-step explanation:

What were the dimensions of the original photo? 11 inches by 11 inches 5 inches by 5 inches 3 + 4 StartRoot 2 EndRoot inches by 3 + 4 StartRoot 2 EndRoot inches 3 4 StartRoot 2 EndRoot inches by 3 4 StartRoot 2 EndRoot inches

Answers

Answer:

11x11 inches

Step-by-step explanation:

You are missing the first part of the problem, which is the following:

"Miriam reduced a square photo by cutting 3 inches away from the length and the width so it will fit in her photo album. The area of the reduced photo is 64 square inches. In the equation (x – 3)2 = 64, x represents the side measure of the original photo. What were the dimensions of the original photo?"

With this in mind, we just need to solve the equation and determine the value of x. The equation is:

(x - 3)² = 64

Solving this, we have:

x - 3 = √64

x - 3 = 8

x = 8 + 3

x = 11

Therefore, we can conclude that the original dimensions of the photo are 11x11 inches.

Hope this helps

Answer:

11x11

Step-by-step explanation:

pls help fast fast fast!!!​

Answers

Answer:

Jesse can pack 18 books.

Step-by-step explanation:

2.4*18=43.2+5.7==48.9

you cant fit more than fifty becaue 48.9+2.4=51.3, thus 18 is your answer

Kyle and Leah both work in the evenings. Leah
has every fourth evening off and Kyle has
every third evening off. They were both off
on March 3. When in March are they both off
again?​

Answers

Answer:

The awnser is March 15th because every 12 days they are off at the same time

Step-by-step explanation:

BRAINLIEST PLEASE

Find the surface area and volume of the pyramid. ​

Answers

Given:

The figure of a square base pyramid.

To find:

The area of volume of the pyramid.

Solution:

The area of square base is:

[tex]B=(side)^2[/tex]

[tex]B=(16)^2[/tex]

[tex]B=256[/tex]

Area of one triangular side of the pyramid is:

[tex]A_1=\dfrac{1}{2}\times base\times height[/tex]

[tex]A_1=\dfrac{1}{2}\times 16\times 13[/tex]

[tex]A_1=104[/tex]

Now, the total surface area of the pyramid is:

[tex]A=B+4A_1[/tex]

[tex]A=256+4(104)[/tex]

[tex]A=256+416[/tex]

[tex]A=672[/tex]

Therefore, the surface area of the pyramid is 672 square m.

The volume of the pyramid is:

[tex]V=\dfrac{1}{3}Bh[/tex]

Where, B is the base area and h is the vertical height of the pyramid.

Substituting [tex]B=256,\ h=6[/tex], we get

[tex]V=\dfrac{1}{3}(256)(h)[/tex]

[tex]V=(256)(2)[/tex]

[tex]V=512[/tex]

Therefore, the volume of the pyramid is 512 cubic meters.

Hence the correct option is d.

Please help this is due, not sure if I did this right. Triangle ABC is shown below with vertices A (7,4), B(1,1), and C(9,0). Find the area and perimeter of the triangle. ​

Answers

i think u did it right

The probability of getting a sum of 7 or 11 by rolling two dice is 2/9 True or false please answer my question​

Answers

Answer:

IT IS FALSE

Step-by-step explanation:

YA'LL LOOK

https://picrew.me/image_maker/678875/complete?cd=CoL7ZrEndz

whats the square root of 81

Answers

Answer:

Square root of 81 is 9

Step-by-step explanation:

A dime is dropped from a building at a
height of 1,024 ft. If the equation for
height as a function of time is
h(t) = -16t2 + initial height where t is time
in seconds and h(t) is height in feet, how
many seconds will it take for the dime to
hit the ground?
[?] seconds

Answers

Answer:

8 seconds

Step-by-step explanation:

Given :

h(t) = -16t2 + initial height

Initial height = 1024 feets

By the time it hits the ground, h(t) = 0

Equation becomes :

0 = - 16t² + 1024

Solve for t

-16t² = 1024

t² = 1024 / -16

t² = 64

t = √64

t = 8

Hence, it will take 8 seconds

URGENT!!

The length of a rectangle is five more than double the width. Find the dimensions if the
perimeter is 88m.

Answers

Answer:

13, 31

Step-by-step explanation:

Set the width as x.

Length: 2x + 5

Perimeter:

(x) + (2x + 5) + (x) + (2x + 5) = 88

Simplify.

6x + 10 = 88

Solve.

6x = 78

x = 13

Substitute this into the previous equations

Width: 13

Length: 31

Answer:

The length is 31m and the width is 13m.

Step-by-step explanation:

Start by translating the word problem into an equation. 5 more than double the width is written as 2w + 5. Then substitute that into the equation for the perimeter. It should look something like this:

88 = 2(2w +5) + 2w

Then simplify by combining like terms and solve for the width (w).

88 = 6w + 10

78 = 6w

13 = w

Now that we have the width, we can plug it back into the equation we made for the length.

l = 2w + 5

l = 2(13) + 5

l = 26 + 5

l = 31

I hope this could help!

Which number makes this equation true?
(12 + 5) * 7 = (12 x 7) + (5 * __)

Answers

(c) 7

7×(12 + 5) = (7×12) + (7× 5)

Explanation:

Distributive property say that multiplication an division can be distributed over parenthesis.

a x (b+c) = a x b + a x c

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