The radii of two similar cones are 27:125. What is the ratio of their areas?

Answers

Answer 1

Answer:

729 : 15,625

Step-by-step explanation:

the ratio of their areas is 27² : 125² = 729 : 15,625


Related Questions

PLEASE HELP WILL GIVE BRAINLIEST TY
You go to the doctor and he gives you 15 milligrams of radioactive dye. After 20 minutes, 7.25 milligrams of dye remain in your system. To leave the doctor's office, you must pass through a radiation detector without sounding the alarm.

If the detector will sound the alarm if more than 2 milligrams of the dye are in your system, how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived?

Give your answer to the nearest minute.

How many minutes will you spend at the doctor's office?

Answers

Answer:

 =34 minutes.

Step-by-step explanation:

Done according to my own understanding!

15mg - 7.25mg = 7.75mg

   7.75mg / 20min = 0.3875mg per minute

       7.25mg - 2mg = 5.25mg

             5.25mg / 0.3875mg = 13.5483871 minutes

                     13.5483871 minutes + 20 minutes = 33.5483871 minutes

                                  =34 minutes.

Factor 16a + 72 to find the equivalent expression

Answers

Answer:

[tex]=8\left(2a+9\right)[/tex]

Step-by-step explanation:

[tex]16a+72[/tex]

[tex]\mathrm{Rewrite\:}16\mathrm{\:as\:}8\cdot \:2[/tex]

[tex]\mathrm{Rewrite\:}72\mathrm{\:as\:}8\cdot \:9[/tex]

[tex]=8\cdot \:2a+8\cdot \:9[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}8[/tex]

[tex]=8\left(2a+9\right)[/tex]

Hence, the correct answer is  [tex]=8\left(2a+9\right)[/tex]

Answer:

8(2a+9)

Step-by-step explanation:

Hope this helps

Let V be the volume of a right circular cone of height h=14 whose base is a circle of radius R=2. An illustration a right circular cone with horizontal cross sections. The right circular cone has a line segment from the center of the base to a point on the circle of the base is labeled capital R, and the horizontal line from the vertex is labeled h.

Required:
Use similar triangles to find the area of a horizontal cross section at a height y.

Answers

Answer:

The area of a horizontal cross section at a height is [tex]\pi\times(2-\dfrac{y}{7})^2[/tex]

Step-by-step explanation:

Given that,

Height = 14 m

Radius = 2 m

Let V be the volume of a right circular cone

We need to calculate the value of R

Using given data

[tex]\dfrac{h}{r}=\dfrac{h-y}{R}[/tex]

Put the value into the formula

[tex]\dfrac{14}{2}=\dfrac{14-y}{R}[/tex]

[tex]7R=14-y[/tex]

[tex]R=2-\dfrac{y}{7}[/tex]

We need to calculate the area of a horizontal cross section at a height y

Using formula of area

[tex]A=\pi R^2[/tex]

Put the value into the formula

[tex]A=\pi\times(2-\dfrac{y}{7})^2[/tex]

Hence, The area of a horizontal cross section at a height is [tex]\pi\times(2-\dfrac{y}{7})^2[/tex]

The area of the circular cone at height y can be derived as a function, A,

having y as the input variable.

Correct response:

[tex]Area \ of \ horizontal \ cross \ section \ at \ height \ y \ is \ \underline{ A = \pi \times \dfrac{\left(14 - y\right)^2}{7} }[/tex]

Method used for deriving the area

The given parameters are;

Shape of figure = Right circular cone

Height of the cone, h = 14

Base radius, R = 2

Required:

The area of a cross section at a height y using similar triangles

Solution:

We have using similar triangles;

[tex]\mathbf{\dfrac{h}{h - y} }= \dfrac{R}{r} [/tex]

Which gives;

[tex]\mathbf{\dfrac{14}{14 - y}} = \dfrac{2}{r} [/tex]

Therefore;

2·(14 - y) = 14·r

28 - 2·y = 14·r

[tex]r = \dfrac{28 - 2 \cdot y}{14} = 2 - \dfrac{y}{7} [/tex]

The horizontal cross sectional area, A = π × r²

Therefore;

[tex]Area \ of \ the \ cross \ sectional \ area,\ A = \pi \times \left(2 - \dfrac{y}{7} \right) = \underline{ \pi \times \dfrac{\left(14 - y \right)^2}{7} }[/tex]

Learn more about a circular cone here:

https://brainly.com/question/2986448

what is the distance between points (4,0) and (8,-5)

Answers

Answer:

(4,5)

Step-by-step explanation:

x <-8
Graph the inequality

Answers

Answer:

<--------

<----|---|---|---|---|---|---|----------

   -9 -8 -7 -6 -5 -4 -3

Step-by-step explanation:

Your friend has a bag of marbles. Your friend says that there is a 100% chance that you pick out a red marble and a 0% chance that you pick a green one.

What can you conclude about the colors of the marbles inside of your friend's bag?
Can you determine exactly how many marbles are in the bag? Why or why not?

Answers

Answer:

1. They are all red. 2. There is no possible way to come to a conclusion

Step-by-step explanation:

If there is a 100% chance you will draw a red marble, they all have to be red or it would not be a 100% chance.

We can't conclude how many marbles are in the bag because the question states nothing about how many marbles there are.

7. Which of the following is true about the set of all solutions for f(x) = 4x?
Select all that apply.
A. It is continuous,
B. It is linear
C. It is exponential
D. The point (1,4) falls on the graph,
E. The point (4,0) falls on the graph,

Answers

Answer:

B.It is linear 180=3x2+24x+36

Step-by-step explanation:

The answer would be c

21. A store display will have 6 rows, with 12 containers in each row.
If 39 containers has been set up so far, explain how to find the
number of containers that still need to be set up. Then solve the
problem.

Answers

It should be 39 containers, I’m not sure though

What is the constant rate of change of the
function represented in the table?

Answers

Answer: it is -4 or c

Step-by-step explanation:

my h shopping bill come to fourteen pounds and eight-six peace how much change should i receive from 20 pounds note

Answers

Answer:

5 pounds 14 pence

50 -19= 31

Step-by-step explanation:

plus help me its really simple ill give you the brainiest

Answers

Answer:

Whole Numbers

Step-by-step explanation:

Whole numbers is the only set of numbers in the following choices that don't include negative numbers (only positive integers and zero). Therefore, since -7 is negative, it doesn't belong to whole numbers!

Suppose we want to choose 2 colors, without replacement, from the 3 colors red, blue, and green.

Answers

Okay, I am going to answer this question personally.

Suppose we want to choose 3 colors, without replacement, from the red, blue, green, and purple.

(a) How many ways can this be done, if the order of the choices is taken into consideration?  

(b) How many ways can this be done, if the order of the choices is not taken into consideration?

Answer

(a) 6 choices

(b) 3 Choices

Given:

3 Colors

Order of choice : Red, Blue, Green

(a) Order of the choices taken into consideration :

When we are picking  the first colour there are 3 color choice.

When we are picking second colour there are 2 choice and so on.

Therefore, total choices are = 3*2 = 6 choices

(b) Order of the choices not taken into consideration :

When to take this option we choose as   and the remove the duplicates

Therefore, choices are 3 Choices

Consider giving Brainliest, please.

1 Solve the expression 8 x 5 – 12 x + 5 using PEMDAS. 3

39

40

41

42​

Answers

40, you need to start my multiplying 8x5

Answer:

39

Step-by-step explanation:

A restaurant has square tables. Only one person can sit on either end of the table.

Now
Write out the formula to show how you to work out the "number of people" from the number of tables.

Someone making the booking for 20 people. How many tables must be pushed together?

Answers

Answer:

10

Step-by-step explanation: Because 10x2=20

so in this case if they were to push the tables togther only 1 can sit at one square table if there pushed together

unless each table held 2 people like one on one side and one on the other it would be the same formula because 10 on one side of the tables and 10 on the other side would be 10x2

10+10=20 or 10x2=20

ethier one would be the same

hope this helps you!

The sum of two numbers is 33. One number is 2 times as large as the other

Answers

Answer:

11 and 22

Step-by-step explanation:

x + y = 33

y = 2x

x + 2x = 33

3x = 33

x = 11

The sum of 33 would be 11 and 22

An aeroplane X whose average speed is 500°km/hr leaves kano airport at 7.00am and travels for 2 hours on a bearing 050°. It then changes its course and flies on a bearing 120° to an airstrip A. Another aeroplane Y leaves kano airport at 10.00am and flies on a straight course to the airstrip A. both planes arrives at the airstrip A at 11.30am. calculate the average speed of Y to three significant figures. the direction of flight Y to the nearest degree

Answers

Answer:

72

Step-by-step explanation:

Simplify x - 1 / 5(x - 1)^2

Answers

Answer:

1/5(x-1)

Step-by-step explanation:

cancel x-1

then we get

1/5(x-1)

If not understand comment below.

pls help me with number 12 I don’t know the answer I have been trying for a long time pls help

Answers

Answer:

m=1/1 or just 1, b=(0,3.5) equation:y=x+3.5

Step-by-step explanation:

The pattern is as x increases by 1, so does y by the same amount, 1. This means the line is at a 45 degree angle increasing vertically and horizontally at the same pace. However, it is moved up 3.5 units in the y direction because when x=0, y=3.5

Find the length of The side of a square with area 225square units

Answers

Answer:

Step-by-step explanation:

Let length of side = x

area = x²

so x² = 225 = 15²

then x = 15 units

Answer:

Formula for area of square;

A = a^2

where a represents the length of one side of the square, so;

A = a^2

given that the total area is 225,

225 = a^2

√225

= 15

The graph of y = f ′(x), the derivative of f(x), is shown below. List the intervals where the graph of f is concave down.
(–4, –2) U (2, 4)
(–2, 2)
(–4, 0)
(0, 4)

Answers

Answer:

  (a) (–4, –2) U (2, 4)

Step-by-step explanation:

A graph is concave down where its second derivative is negative. That will be where the slope of the first derivative is negative.

Your graph shows the first derivative has negative slope at the left and right ends. The function f(x) will be concave downward on those intervals:

  (–4, –2) U (2, 4)

Suppose you were to collect data for each pair of variables listed below. You want to make a scatterplot. Which variable would you use as the explanatory variable and which as the response​ variable? Why? What would you expect to see in the​ scatterplot? Discuss the likely​ direction, form, and strength. ​a) Cell phone data plans for a person who wants a large file​ size: file​ size, cost ​b) Lightning strikes by a person watching a lightning​ storm: distance from​ lightning, time delay of the thunder ​c) A streetlight that you are​ approaching: its apparent​ brightness, your distance from it ​d) Cars being catalogued at a​ dealership: weight of​ car, age of owner

Answers

Answer and explanation:

1. Cost is response variable while file size is explanatory variable. Cost is response variable here because it is the dependent variable and the other is the independently variable that affects the dependent variable cost. The scatter plot will show how much cost increase with each change in file size. Scatter plot is in positive direction and strong

2. Time of delay of thunder is response variable while distance from lightning is explanatory variable. Time of delay is dependent variable while the other is independent variable which affects it. Scatter plot shows how much delay of thunder changes with change in distance from lightning. Positive scatter plot and strong

3. Your distance from it is explanatory variable while apparent brightness is response variable. Distance from it is independently variable while the the other is dependent variable. Scatter plot shows change of brightness with each change of distance. Negative direction as distance increase results in brightness decrease. It is strong.

4. weight of car is response variable while age of owner is explanatory variable. Weight of car is dependent variable while the other is independent variable. Scatter plot shows change of weight of car with change of age of owner. Positive direction as one increases the other increases. Strong

Six chicken sandwiches and four drinks cost $16.00. Six chicken sandwiches
and two drinks cost $14.00. How much is a chicken sandwich?

Answers

Well if you figure out that each drink is 1 dollar you can just divide it. So each sandwich is 2.3

Answer:

$2.67

Step-by-step explanation:

16 ÷ 6 = 2.66666666667

2.67 x 6 = 16.2

(well, it was close.)

Sorry if it's wrong.

Bye, have a great day.

Rectangle A has a length of 2 and a width of 10. Rectangle B has a length of 4
and a width of 5. Rectangle A and Rectangle B (doing a test please answer fast)

Answers

Answer: dang bro i never do flvs that early in school. Sorry my guy i got no answer to that. Im quite dumb myself in math

Step-by-step explanation:

7. Given b= 4, c = 10, and A = 34 degrees, use the Law of Cosines to solve for a. Round your answer to the nearest whole number.

8. Given a = 11, C = 131 degrees, and b = 8, use the Law of Cosines to solve for c. Round your answer to the nearest tenth.

9. Given c = 9.6, b = 5.9, and a = 10.5, use the Law of Cosines to solve for C. Round your answer to the nearest degree.

Answers

Answer:  (7) 7.0              (8) 17.3            (9) 64.7°

Step-by-step explanation:

Law of Cosines is: a² = b² + c² - 2bc · cos A

                         or: b² = a² + c² - 2ac · cos B

                         or: c² = a² + b² - 2ab · cos C

7) b = 4, c = 10, ∠A = 34

a² = b² + c² - 2bc · cos A

   = 4² + 10² - 2(4)(10) · cos 34°

   = 16 + 100 - 80 (0.829)

   = 116 - 66.323

   = 49.677

a = [tex]\sqrt{49.677}[/tex]

a = 7.0

8) a = 11, b = 8, ∠C = 131

c² = a² + b² - 2ab · cos C

   = 11² + 8² - 2(11)(8) · cos 131°

   = 121 + 64 - 176 (-0.656)

   = 185 + 115

   = 300

c = [tex]\sqrt{300}[/tex]

c = 17.3

9) a = 10.5, b = 5.9, c = 9.6

9.6² = 10.5² + 5.9² - 2(10.5)(5.9) · cos C

92.16 = 110.25 + 34.81 - 2(10.5)(5.9) · cos C

92.16 = 145.06 - 123.9 cos C

-52.9 = -123.9 cos C

0.427 = cos C

cos⁻¹ (0.427) = C

64.7° = C

Answer:

Answer:

A.

B.

C.

Step-by-step explanation:

We have been given inverse trigonometric functions. We are asked to find the value of each function.

A.

We will use inverse sin to solve our given equation as:

Round to nearest degree:

B.

We will use inverse tann to solve our given equation as:

Round to nearest degree:

C.

We will use inverse cosine to solve our given equation as:

Round to nearest degree:

Step-by-step explanation:

Choose bank, credit union, or both for each statement below:
Must be part of a specific member group to join
Profits are given to shareholders
Offer checking and savings accounts, CDs, loans
Deposits are insured up to $250,000
Fees tend to be higher
Interest customers earn on deposits tends to be higher

Answers

Answer:

Must be part of a specific member group to join . - CREDIT UNION.

Credit Unions require that you are a member of a member group to join as well as other entry requirements unlike a bank where the qualification rules are less stringent.

Profits are given to shareholders . - BANK.

A Bank is owned by its investors and shareholders so they will have to distribute profits to them unlike a Credit Union that is owned by its members.

Offer checking and savings accounts, CDs, loans . BOTH.

Both Credit Unions offer these financial products and accounts.

Deposits are insured up to $250,000  - BOTH.

Both of these types of Institutions are insured up to $250,000 by the United States Governments. Credit Unions are insured by the National Credit Union Share Insurance Fund (NCUSIF) and banks are insured by the FDIC (Federal Deposit Insurance Corporation).

Fees tend to be higher . BANKS.

Banks are for profit institutions so they will charge higher fees to make more profit for their investors.

Interest customers earn on deposits tends to be higher. - CREDIT UNIONS.

Credit Unions earn higher deposit interest for customers because they are not-for-profit so do not have to offer less rates to keep more money for their investors.

Bank, credit union, or both have been for each of the statements below:

Credit Union: Must be part of a specific member group to join. Banks: Profits are given to shareholders. Both: Offer checking and savings accounts, CDs, loans. Both: Deposits are insured up to $250,000. Banks: Fees tend to be higher. Credit Unions: Interest customers earn on deposits tends to be higher.

Meaning of Banks and Credit Union

Banks are financial institutions that have licenses to accept deposits from customers and provide loans when the conditions are met.

Credit Unions, on the other hand, are not operated for the purpose of making profits. They are formed by members who hold an agreement and their methods of operation are similar to the commercial banks.

In the given points above the similarities and differences between these two financial institutions are shown.

Learn more about Banks here:

https://brainly.com/question/14368059

ch rectangle. Then write an equation and solve it.
and width of each rectangle.
- 4
A=64
*-4
loc- 4
*-4

Answers

(x-4)^2 = 64
x-4 = 8
x = 12

Find the solution set to the given equation. Answer only in numbers.
4x2 – 16x = 0

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{4x^2 - 16x = 0}\\\large\text{FACTOR the LEFT SIDE of the given equation.}\\\mathsf{\rightarrow 4x(x - 4) = 0}\\\large\text{After step 1 is complete, set the factors to equal to 0.}\\\mathsf{\rightarrow 4x = 0\ or\ x - 4 = 0}\\\larg\text{Lastly, you have to SIMPLIFY new equations you have now.}\\\mathsf{\rightarrow x = 0\ or\ x = 4}\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x = 0\ or\ x = 4}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

answer quick! ......................

Answers

Answer:

10 units up

Step-by-step explanation:

An example of this is where the graph changes from (0,0) to (0,10)

Have an amazing day!

PLEASE RATE!!

Use the graph to determine iffis odd, even, or neither
O A. Even
A
OB
Neither
OC. Odd

Answers

Answer: it is neither

Consider the following equation. 4x + 2 = 8x - 5 Which equation and explanation could represent a step in finding the value of x? (4x) + 2 = * (8x) - 5 Use the multiplication property of equality to simplify the variable term on the left side of the equation. 4x + 2-5= 8x - 5 + 5 Use the addition property of equality to move the constants to one side of the equation. 11 / + 2 (4x + 2) = | (8x - 5) Use the multiplication property of equality to simplify the variable terms on both sides of the equation. O 4x + 2 - 4x = 8x - 5 - 4x Use the addition property of equality to move the variables to one side of the equation.​

Answers

Answer:

Step-by-step explanation:

Given the expression 4x+2 = 8X-5. To find the value of x, we need to follow the steps;

Sep 1:

Add 5 to both using addition property to move 5 to both sides

4x+2+5= 8x-5+5

4x+7 = 8x

Step 2:

Collect like terms

4x-8x = -7

-4x = -7

Step3:

Divide both sides by -4

-4x-4 = -7/-4

x = 7/4

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