The base of the cone has a radius of 4.5 inches. The height of the cone is 16 inches.

If the cone shown above is sliced by a plane that passes through the center of the base, and also passes through the top vertex, what is the area of the cross-section of the cone?

Answers

Answer 1

According to the given statement the area of the cross section of the cone is 72 square units.

What does the word cone actually mean?

a solid produced by rotating one of the legs of a right triangle. A solid that is surrounded by a circle and other closed planar base and indeed the surface created by line segments connecting each point here on base's perimeter to a single vertex is known as a right circle cone; for more information, see the Density Formulas Table.

Briefing:

From the given information the height is 16 inches and the radius is 4.5 inches becuase the cone is sliced by a plane that passes through the center of the base, and also passes through the top vertex

So, The radius would be half the base, so the base would be 4.5 * 2 = 9 inches.

The area of the cross section of the cone is found by multiplying the base by the height, then dividing by two.

Area of the cross section of the cone = (9 x 16)/2 = 144

144 / 2 = 72 square inches.

To know more about cone visit:

https://brainly.com/question/16394302

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Related Questions

Please just give me the answer

Answers

Answer:

x = 4

Step-by-step explanation:

We use the formula:

a² + b² = c²

x² + 3² = 5²

x² + 9 = 25

x² = 16

[tex]\sqrt{x^2} =\sqrt{16}[/tex]

x = 4

PLEASE HELP ASAP! 100 PTS *TRIGONOMETRY*
1. Find the measure of the side indicated (x). Round to the nearest tenth. Show your work to support your answer. (First Picture)
2. Find the measure of the angle indicated (x). Round to the nearest tenth. Show your work to support your answer. (Second Picture)

Answers

1:

cos (37)= 11/x

x(cos(37))= 11

x= 11/cos(37)

x= 14.4

2:

tan (0)= 4/13

0= tan^-1/ 4/13

0= 0.3

x= 0.3

have a nice day :)

Step-by-step explanation:

solution:

A.

relation between hypotenuse and base is given by cos angle

so

[tex] \cos(ø) [/tex]=base/hypotenuse=11/x

cos37°=11/x

x=11/(cos37°)=13.77units

side indicated =x=13.77units

solution:

B.

relation between perpendicular and base is given by tan angle

so

[tex] \tan(ø) [/tex]=perpendicular/base=4/13

ø=tan-¹ (4/13)=17.10°

angle indicated =ø=17.10°

Can someone plzzz helpp mesee

Answers

Answer:

104

Step-by-step explanation:

sso if you use the angle right it looks just right

Answer:

[tex] m\angle EFG = 52\degree[/tex]

Step-by-step explanation:

By inscribed angle theorem:

[tex] m\angle EFG =\frac{1}{2} m\angle EDG[/tex]

[tex] (x+51)\degree =\frac{1}{2}(10x +94)\degree [/tex]

[tex] (x+51)\degree =\frac{1}{2}\times 2(5x +47)\degree [/tex]

[tex] (x+51)\degree =(5x +47)\degree [/tex]

[tex] x+51 =5x +47 [/tex]

[tex] x+51 - 47=5x - x[/tex]

[tex] 4=4x[/tex]

[tex] x=\frac{4}{4}[/tex]

[tex] x=1[/tex]

[tex] \because m\angle EFG = (x+51)\degree[/tex]

[tex]\therefore m\angle EFG = (1+51)\degree[/tex]

(plug x = 1)

[tex] \therefore m\angle EFG = 52\degree[/tex]

Use the data for the books each class donated for a book drive.
Books Donated
28
15
40
45
27
19
50
36
42
37
21
25

Find the Median.

Answers

Answer:

rearrange in ascending order

15,19,21,25,27,28,36,37,40,42,45,50

using formula (n\2)th + (n/2)+1)th/2

(12/2)th + (12/2)+1)th/2

6th +7th/ 2

the 6th number=28and the 7th number=36

28+36/2

64/2

32

median =32

find the exact perimeter, please help :)

Answers

I hope this helps you

find trapezoid sides from right triangle

base is 2 unit and the height is 6 unit

let's find hypothenus(trapezoid side)=x

x^2=2^2+6^2=40

x=2 square root of 10

let's sum of the trapezoid sides

2x+2 bases

4 square root of 10+(7unit+3unit)

4 square root of 10 +10

Evaluate the expression for x=-2 and y=9.
xy + y =

Answers

Answer:

-18 + 9 = -9

Step-by-step explanation:

-2 x 9 = -18

Del total de alumnos de una escuela de Medellín, la mitad nació en Medellín, un tercio en otros pueblos de Antioquia y los restantes en otros países. Si son 83 los alumnos extranjeros, el número de alumnos que nacieron en Medellín es: A. 498 B. 166 C. 250 D. 249

Answers

Answer:

OK

Step-by-step explanation:

What language us That

Sam has a loan for $1200 at a rate of 9% annually. How much interest will he pay in 5 years? A) $54.40 B) $108.00 Eliminate C) $540.00 D) $1740.00

Answers

Answer:

c

Step-by-step explanation:

interest = loan x interest x time

1200 x 0.09 x 5 = $540

what is the location of point B ?

Answers

Answer:

its b

Step-by-step explanation:

(9,-2)

Answer:

(9, -2)

Hope that helps!

Step-by-step explanation:

during the fall a pumpkin patch advertises four pumpkin for $11.oo which equation below respresents this proportional relationship

Answers

Answer:

11x4=44

Step-by-step explanation:

PLEASE HELP (30 points)
(I will report fake answers or links)
Solve each equation by completing the square.If necessary,round to the nearest hundredth.

10.) b2+10b=75

11.) y2-18y=63

12.) n2-20n=-75

13.) a2+16a=-15

14.) t2+8t-9=0

15.) h2-12h-9=0

Answers

Answer:

10) b = 6.25

11) y = -3.94

12) n = 4.16 repeating

13) a = -0.83 repeating

14) t = 0.9

15) h = -0.9

Hope this helps!

I NEED THIS ASAP!!
The average length of a female dolphin is about 171 inches (in). What is this length in feet (ft) and inches (in)?

Answers

Answer:

14.25ft

171 in

Step-by-step explanation:

PLEASE HELP!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

a^2+b^2=c^2

10^2+b^2=17^2

100+b^2=289

-100         -100

       b^2=  189

      b= the square root  of 189

b=13.7477270849

someone help with this math question!! brainly if correct

Answers

Answer:

option 1) tan (46) = 17/x

Step-by-step explanation:

Linda used 36 m of fencing to enclose a rectangular section of her back yard .
What might the area of the enclosed section be? Give three different answers.

Answers

Answer:

so you'll take width (or w) and times it by Height (or h)

50 x 100 = 5000 = example

I hope this helps...

Step-by-step explanation:

Please help I’ll mark brainliest

Answers

Answer:

-2-24i

Step-by-step explanation:

vector addition

let x be the value without the vector I

x+7+5=10

x=10-12

x=-2

let y be the value with the vector I

y-3+9+13= -5

y +19= -5

y= -24

PLEASE HELPPPPPP...

Between which, two months was the largest decrease in profits recorded? What was the amount of the decrease?


April to May, $4,000 <-

February to March, $4,000

April to May, $5,000 <-

February to March, $5,0000

Answers

april to may $5,000

Answer:

Between which two months was the largest decrease in profits recorded? What was the amount of the decrease?

February to March, $4,000

April to May, $4,000

April to May, $5,000

February to March, $5,000

Step-by-step explanation:

C. is right

pls help!! TIMED!!!!!!

Answers

Answer:

dont know what to do

Step-by-step explanation:

Roscoe is locked outside his house.The only unlocked window is on the 2nd floor which is 24 feet from the ground. He will have to borrow a ladder from the neighbors house and place it 7 feet from the house. What length of ladder does he need to reach the 2nd floor safely

Answers

Answer:

25 feets

Step-by-step explanation:

The scenario above can be modeled and solved Using Pythagoras :

Height to second floor = 24 feets

Horizontal Distance between foot of ladder and wall = 7 feets

Let length of ladder = x

The lengtb of ladder here is the hypotenus

Recall:

Hypotenus = sqrt(opposite² + adjacent²)

Hence,

x = sqrt(24² + 7²)

x = sqrt(576 + 49)

x = sqrt(625)

x = 25

Hence, length of ladder = 25 feets

Does anyone know this will give the brainliest.

Answers

Answer:

D

Step-by-step explanation:

i think because the range is 2 because it went up to plots and the domain stay in a flat line

16. Is 4/9 a terminating or repeating decimal?
Terminating Decimal
Repeating Decimal

Answers

Repeating decimal is the answer

if you roll two standard die what is the probability that they will both be a three?

Answers

Answer:

2/6 or 1/3 (simplified)

Step-by-step explanation:

each dice has 6 sides and there is one 3 on each die, so you would add 1/6 + 1/6 to get 2/6 which simplifies to 1/3

Answer:

2/12 or 1/6

Step-by-step explanation:

What is the following difference?
11 inverse 45 -4 inverse 5

Answers

He’s correct good job!

Which of these serves as a way to help get rid of waste and is most commonly found in animal cells not in plant cells?

A. a membrane
B. a nucleus
C. chloroplasts
D. lysosomes

Answers

D. Lysosomes


Only Plant cells have chloroplasts
Both plant and animal cells have nucleus and a membrane

Only an animal cell has lysosomes.

Alexis traveled 2.3 km to visit her purchase groceries at the supermarket she travels another 600m to get some vitamin C at the pharmacy how much how many meters did Alex to travel in Total?​

Answers

Answer:

2.9 km

Step-by-step explanation:

Just add up the two distances:  2.3 km + 600 m = 2.3 km + 0.6 km = 2.9 km total

find the x please!!!!

Answers

Step-by-step explanation:

All 3 angles add up to be 180 due to sum of angles in a triangle.

Given this fact,

[tex]38 - 5x + 83 + 24 = 180 \\ 145 - 5x = 180 \\ - 5x = 180 - 145 \\ - 5x = 35 \\ x = 35 \div - 5 \\ = - 7[/tex]

Answer:

(38 - 5x)⁰ + 83⁰ + 24⁰ = 180⁰

<=> (38 + 83 + 24) - 5x = 180

<=> 145 - 5x = 180

<=> 5x = 145 - 180

<=> 5x = - 35

<=> x = - 7

A triangle is shown.
300
44 in.
What is the length, in inches (in.), of side a?
in.

Answers

For this you have to do sin of 30 degrees so if you have a calculator put sin(30)= a/44 and solve for a

(Repost because I only got bots last time and I really need help) I’m so lost and we didn’t talk about this at all in my class, please help
The volumes of two similar solids are 512cm^3 and 2,197cm^3. If the smaller solid has a surface area is 960cm^2, find the surface area of the larger solid.
PART I: find the similarity ratio by taking the cube root of each volume. Show your work.
PART II: Use your answer from Part I to find the ratio of the surface areas. Show your work.
PART III: Set up a proportion and solve to find the surface area of a larger solid.

Answers

Answer:

2535 cm²

Step-by-step explanation:

Part 1

Cube root the ratio to find the length factor as volume factor = length factor³

∛512 : ∛2197 = 8 : 13

Part 2

Square the ration as area factor = length factor²

8² : 13² = 64 : 169

Part 3

Apply the ratio

64 : 169

960 / 64 = 15

15 x 169 = 2535

A candy company can sell fruit gums in rectangular boxes or in cylindrical tubes. Each box is 8 cm by 3 cm by 7 cm. Each cylinder has radius 3 cm and height 6 cm. The company wants the packaging that uses less material. Which packaging should the company choose? Justify your choice.

Answers

Answer:

i. The company should use the cylindrical tubes.

ii. This is because the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²

Step-by-step explanation:

i, Which packaging should the company choose?

The packaging that uses less material is the one with the least surface area. So, we find the surface area of each material.

For the rectangular box, the surface area, A = 2(lb + lh + bh) where l = length, b = breadth and h = height. Since each box  is 8 cm by 3 cm by 7 cm,l = 8 cm, b = 3cm and h = 7cm.

So, ,A = 2(lb + lh + bh)

,A = 2( 8 cm × 3 cm + 8 cm × 7 cm + 3 cm × 7cm)

A = 2(24cm + 56 cm + 21cm)

A = 2(101 cm²)

A = 202 cm²

For the cylindrical tube, the surface area, A' = 2πr(r + h) where r = radius of cylinder and h = height of cylinder.

Since each cylinder has radius 3 cm and height 6 cm, r = 3cm and h = 6 cm.

So, A' = 2πr(r + h)

A' = 2π(3 cm)(3 cm + 6cm)

A' = (6π cm)(9 cm)

A' = 54π cm²

A' = 169.65 cm²

Since the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²

The company should use the cylindrical tubes.

ii. Justify your choice.

This is because the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²

What is FG?

NEED HELP QUICK!!

Answers

Answer:

FG = 18

Step-by-step explanation:

FD is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is

[tex]\frac{24}{54}[/tex] = [tex]\frac{x}{x+10}[/tex] ( cross- multiply )

54x = 24(x + 10)

54x = 24x + 240 ( subtract 24x from both sides )

30x = 240 ( divide both sides by 30 )

x = 8

Then

FG = x + 10 = 8 + 10 = 18

Answer:

50

Step-by-step explanation:

90-54=36

then u do 36-10 which will give u 26

that will be f then u do 90-50 which is 40 and 40 is the x so now that u got x u can add that to ten which will give u fifty if that's not the way u want it or if this is wrong then i tried cause that what i got

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