what's the surface area ratio & the volume ratio??

please help me ASAP!!

What's The Surface Area Ratio & The Volume Ratio??please Help Me ASAP!!

Answers

Answer 1

Answer:

Step-by-step explanation:

Volumes of two spheres A and B = 648 cm³ and 1029 cm³

Things to remember:

1). Scale factor of two objects = [tex]\frac{r_1}{r_2}[/tex] [[tex]r_1[/tex] and [tex]r_2[/tex] are the radii of two circles]

2). Area scale factor = [tex]\frac{(r_1)^2}{(r_2)^2}[/tex]

3). Volume scale factor = [tex]\frac{(r_1)^3}{(r_2)^3}[/tex]

Volume scale factor Or Volume ratio = [tex]\frac{V_A}{V_B}[/tex]

                         [tex]\frac{(r_1)^3}{(r_2)^3}= \frac{648}{1029}[/tex]

                         [tex]\frac{r_1}{r_2}=\sqrt[3]{\frac{648}{1029} }[/tex]

                         [tex]\frac{r_1}{r_2}=\frac{6(\sqrt[3]{3})}{7(\sqrt[3]{3})}[/tex]

                        [tex]\frac{r_1}{r_2}=\frac{6}{7}[/tex]

Therefore, scale factor = [tex]\frac{r_1}{r_2}=\frac{6}{7}[/tex]

                                      ≈ 6 : 7

Area scale factor Or area ratio = [tex](\frac{r_1}{r_2})^2=(\frac{6}{7})^2[/tex]

                                                   = [tex]\frac{36}{49}[/tex]

                                                   ≈ 36 : 49

Volume scale factor or Volume ratio = [tex]\frac{648}{1029}[/tex]

                                                             = [tex]\frac{216}{343}[/tex]

                                                             ≈ 216 : 343


Related Questions

Using the dimensions shown, you could create a rectangular prism. Caculate the surface area for the rectangular prism. A 30m2 b 56m2 c 60m2 d 112m2

Answers

Answer:

550ft²

Step-by-step explanation:

Since we are not given the dimension of the rectangular prism. Let us assume;

Length of the rectangular base L = 10ft

Width of the rectangular base W = 15ft

height of the prism H = 5ft

Total surface area of the prism = 2(LW + WH + LH)

Substitute the given values

Total surface area of the prism = 2{10*15 + 15*5 + 10*5}

Total surface area of the prism = 2(150+75+50)

Total surface area of the prism = 2(275)

Total surface area of the prism = 550ft²

The table shows the running speeds of 10 randomly selected ostriches. Speed (mlles per hour) 35 40 37 33 36 34 32 36 41 36 Based on the data, select the most reasonable prediction about the speed of ostriches.

A. The typical ostrich runs at speeds greater than 40 miles per hour

B. The top speed of an ostrich is 40 miles per hour.

C. The typical ostrich runs at a speed of about 30 miles per hour

D. The typical ostrich runs at a speed of about 36 miles per hour.​

Answers

Answer:

D;the tropical ostrich runs at a speed of about 36 miles per hour

Answer: It is D, The typical ostrich runs at a speed of about 36 miles per hour.

Step-by-step explanation:

I took the quiz on A p e x^^

Jehle and Liam a bowl serving 0.5÷200 Jehle says the question will be Less than 0.5 Liam says the quotient would be more than 0.5 which student is correct

Answers

Answer:

Jehle is correct.

Step-by-step explanation:

Given - Jehle and Liam a both solving 0.5÷200.

Jehle says the quotient will be Less than 0.5.

Liam says the quotient would be more than 0.5

To find - Which student is correct ?

Proof -

Given expression is 0.5 ÷ 200

It is equivalent to

[tex]\frac{0.5}{200} = \frac{5}{2000} = \frac{1}{400}[/tex] = 0.0025 < 0.5

∴ we get

The expression is Less than 0.5

So, Jehle is correct.

Nikea went running three days in a row. She ran 3 1/2 miles on Monday. She ran the same distance on Tuesday as she did on Wednesday. She ran a total of 7 1/4 miles on all three days. Which of these equations can be used to find the numbers of miles, x, that Nikea ran on Tuesday and Wednesday? Select all that apply.

A. 2x=7 1/4−3 1/2

B. 2x +3 1/2 = 7 1/4

C. 3 1/2 + x + x = 7 1/4

D. 3 1/2 + x = 7 1/4

E. 7 1/4 + 3 1/2 =2x

Answers

Answer; A B and C are the correct answers also please do not follow the other links answer

Step-by-step explanation:

Five percent of canned goods get bumps or dents in the cans during manufacturing. Let X = the number of cans that are inspected before one with a bump or dent is found.

What is the mean and standard deviation of X?

Mean =

Standard deviation =

Answers

Answer:

Mean = 20

Standard deviation = 19.494

Step-by-step explanation:

I got it right.

A die is rolled 3. What is the probability of getting a 1 on the first roll, a 2 on the second roll, and a 3 on the third roll

Answers

Answer:

The probability of getting 1,2 and 3 after rolling once , second and thrice is

1/6

Step-by-step explanation:

These are all independent events.

The sample space = [1,2,3,4,5,6]

A die has 6 sides

1. If this die is thrown once, the probability of getting a 1 is = 1/6

2. If we roll the dice a second time, the probability of getting a 2 is independent from the first time it was rolled, so the sample space remains the same. The probability is also 1/6

3. If we rolled a 3rd time the probability remains 1/6 also

The cost of leveling a square park at Rs.15 per square meter is Rs.6000. Then the side of the square is ________. *

Answers

Answer:

20 m

Step-by-step explanation:

Given :

Leveling cost per square meter = 15

Total leveling cost = 6000

Number of square park leveled :

Tottal cost / unit cost

6000 / 15

= 400 m²

The length of one side of the square

Area of square = s²

where, s = side length

400 = s²

Sqrt(400) = s

s = 20 m

Length of one side = 20 m

please hurry if answer is correct i will give brainlyyyyest thx
In this task, you will calculate the area of a complicated shape by splitting it into simpler shapes. Cut out shape C. Shape C is not a regular shape, so you cannot directly apply a formula to find its area. Split shape C into simpler shapes whose areas you can find by applying formulas. List the simple shapes into which you divided shape C, and measure their sides. Write all the measurements in inches.

Answers

Answer:

i could only get part one done

Step-by-step explanation:

Perimeter is a measurement of the distance around a shape and area gives us an idea. Understanding how much space you have and learning how to fit shapes ... If the shape is a polygon, then you can add up all the lengths of the sides to find the perimeter. ... You can write “in2” for square inches and “ft2” for square feet

1)Name a pair of corresponding angles

2)name the relationship between angle 3 and angle 6

3) name the relationship between angle 4 and 6



HELPP WILL MARK B IF CORRECT!!!!!

Answers

Answer: 1) 1&5 ;  2&6;  3&7;  4&8

2) Alternate interior angles

3) Consecutive interior angles

Step-by-step explanation:

1) 1&5 ;  2&6;  3&7;  4&8

2) Alternate interior angles

3) Consecutive interior angles

If your credit card is stolen and the thief runs up a total debt of $1,000, but you notify the issuer of the card as soon as you discover it is missing, what is the maximum amount that you must pay according to Federal law?

Answers

Answer:

50 dollars

Step-by-step explanation:

college website

The speed of boat in still water is 15km/hr if needs 4 more his to travel 63 km against the current of a river than it needs to travel down the river determine the system of equation

Answers

Answer:

[tex]\frac{63}{15 - c} - \frac{63}{15 + c} = 4[/tex]

Step-by-step explanation:

The systems of equations are

Let us assume the rate of the current be c

Now actual speed against the current is (15 - c)

And, the actual speed with the current is (15 + c)

Here we applied the time formula i.e. distance by speed

Also the upstream time  - downstream time = 4

Now the equations are

[tex]\frac{63}{15 - c} - \frac{63}{15 + c} = 4[/tex]

13 (a) Write 2016 as the product of prime factors.

Answers

Answer: 2^5*3^2*7*1

Step-by-step explanation:

help me pls AAAAAAAA

Answers

Answer:

10/3 liters

Step-by-step explanation:

Divide (4/3) by 2, then multiply by 5

Answer:

10/3 liters

Step-by-step explanation:

Your welcome, hope this helps you

What is the diameter of the Orange below ? HINT : D = 2r

Answers

Answer:

umm don't know.....

Step-by-step explanation:

......

Help will give b if correct

Answers

Answer:

0.28

Step-by-step explanation:

28 divided by 100=0.28

Answer:0.28m

Step-by-step explanation:

Due Today!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Step by step equation??^

Problem PLS HELP MY GRADES GOING DOWN

Answers

Answer:

$248

Step-by-step explanation:

given:

4 deposits

$62

solve:

4 × $62= $248

Answer:

$248

Step-by-step explanation:

You can answer it two ways:

1) add 62 + 62 + 62 + 62 = 248

2) multiply 4 * 62 = 248

Answer: $248

Two sides of a triangle have side lengths of 6 inches and 14 inches. Select all measurements that could be the length of the third side of this triangle

Answers

Answer:

14 on the bottom and 6 going up and down and then you complete the triangle make the other up and down side 6 so it makes a triangle not a sideway one

There are 11 possible values of side x, which are 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19.

What is a triangle?

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

Given that,

The side lengths of the triangle,

a = 6 inches and b = 14 inches.

A triangle is formed when the length of third side is greater than difference of two sides and less than sum of two sides.

Let the third side is x,

So, the possible values of x could be,

14 - 6 < x < 14 + 6

8 < x < 20

The values of x can be 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19.

To know more about Triangle on:

https://brainly.com/question/2773823

#SPJ5

Line d has a slope of 3/2. Line e has a slope of -2/3. Are line d and line e parallel or
perpendicular?

Answers

Answer:

We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect

Now do you guys understand the question?? I need help.

Answers

Answer:

6th period.

Step-by-step explanation:

Find the area of the figure.

Answers

Answer:

23.04

Step-by-step explanation:

A = a^2

A = 4.8^2

A = 23.04

Have a lovely day! <3

exact what the other person said

A window shaped like a parallelogram has an area of 73 2 3 square feet. The height of the window is 8 2 3 feet. How long is the base of the window?

Answers

Answer:

8 1/2 feet

Step-by-step explanation:

Here is the complete question

A window shaped like a parallelogram has an area of 73 2/3 square feet. The height of the window is 8 2/3 feet. How long is the base of the window?

A parallelogram is  quadrilateral that has two pairs of parallel sides. The opposite sides  equal in length

Area = base x height

73 2/3 = 8 2/3 x base

divide 73 2/3  by 8 2/3

221/3 x 3/26 = 8 1/2 feet

6ya +7y{a
Find the sum
O 13y^2
O O 13ay
O 13y/2a
0 13ya

Answers

Since there the same variable together just add the number
13ay is your answer
Sorry for who ever that annoying person is who uploaded those disturbing pictures...
Hope this helps! Have a nice day :)

Mr. Ramirez baked 24 cookies. 5 sixths of the cookies were oatmeal. How many oatmeal cookies did Mr. Ramirez bake?

Answers

Answer:

20 oatmeal cookies

Step-by-step explanation:

5/6 is the same as 20/24, thus 20.

20 cookies 5/6 of 24 is 20

What is the value of x?

Answers

Answer:

I have no idea. But I just want to let you know to not put this many points, because people are going to take them without answering the question. And I don't know the answer because there are multiple x's.

Answer:

x = 8

Step-by-step explanation:

Remark

I agree with the other responder. You need only pay 20 points to get our attention. (20 will give us 10).

The length from the intersect point to the circle times the entire length of the secant is equal to any other secant divided up the same way.

Put simpler

Equation

(x + 2)(x + 2 + 2x- 8) = (x + 1)(x + 1 + 2x - 5)

Combine like terms

Solution

(x + 2)(3x - 6) = (x + 1)(3x - 4)                    Remove the brackets on both sides.

3x^2 + 6x - 6x - 12 = 3x^2 + 3x - 4x - 4   Combine the like terms

3x^2 - 12 = 3x^2 - x - 4                             Subtract 3x^2 from both sides

- 12 = - x - 4                                               Add 4 to both sides

-12 +4 = - x

- 8 = - x                                                      Multiply both sides by -1

x = 8

Geomotry 10th grade easy 25 points

Answers

Answer: 1=60°

Step-by-step explanation:

First, let's take our given angle of 30°

30° is in a right triangle, so the angles must be 90°, 60°, and 30°

Now the angle that is 45° makes angle 1 congruent to angle 60°

Meaning angle 1 is 60°

Answer:

m < 1 = 60

Step-by-step explanation:

Since the transversal is perpendicular to m,

it implies that the triangle formed by the perpendicular transversal, the slant transversal and the line m is a right angle triangle.

We use vertically opposite angles property to bring m<1 in to the right triangle.

We now use the sum of interior angles property to obtain,

m < 1 + 30 + 90 = 180

This implies that,

m  < 1 + 120 + 180

We group like terms to obtain,

m < 1 = 180 - 120

This means that,

m < 1 = 60

We could have also used corresponding angles property, then

m < 1 + 30 = 90

m < 1 = 90 - 30

m < 1 = 60

Please help! 30 points!

Use the Law of Cosines to solve the problem.

A ship travels due west for 83 miles. It then travels in a northwest direction for 111 miles and ends up 165 miles from its original position. To the nearest tenth of a degree, how many degrees north of west did it turn when it changed direction? Show your work.

Answers

Answer: [tex]64.2^{\circ}[/tex]

Step-by-step explanation:

According to the cosine rule

[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]

Here, [tex]a=83, b=111, c=165,\ C=180^{\circ}-\theta[/tex]

Putting values

[tex]\Rightarrow \cos (180^{\circ}-\theta)=\dfrac{83^2+111^2-165^2}{2\times 83\times 111}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{6889+12321-27225}{18426}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{-8015}{18426}=-0.4349\\\\\Rightarrow 180^{\circ}-\theta=\cos^{-1}(-0.4349)=115.77^{\circ}\\\Rightarrow \theta=64.23\approx 64.2^{\circ}[/tex]

So, the ship turns by [tex]64.2^{\circ}[/tex] north of west

The ship turned an at angle of 64.2 degrees north of west

Represent the angle, the ship turned due north of west with theta.

From the figure, we have the following equation

[tex]\cos(A) = \frac{b^2 + c^2 - a^2}{2bc}[/tex]

So, we have:

[tex]\cos(A) = \frac{83^2 + 111^2 - 165^2}{2 * 83 *111}[/tex]

Evaluate the expression on the right-hand side

[tex]\cos(A) = -0.4350[/tex]

Take the arc cos of both sides

[tex]A = \cos^{-1}(0.4350)[/tex]

[tex]A =115.8^o[/tex]

The value of theta is then calculated as:

[tex]\theta = 180 -A[/tex]

This gives

[tex]\theta = 180 -115.8^o[/tex]

[tex]\theta = 64.2^o[/tex]

Hence, the ship turned an at angle of 64.2 degrees north of west

Read more about bearing and elevation at

https://brainly.com/question/19594654

besties besties please help im desparate

Answers

What in the flipping Jeapordy is this, but anyway:

1) Simran needs a 65% to score an 80 test average

2) The length is 13 centimeters

3) Jake purchased 4 gadgets

4) 100 candles would need to be sold

5) You bought 3 drinks

Answer:

Step-by-step explanation:

miss girl you need homework plugs sorry queen have a good day

factorise fully :

4(x - y)^2 - 9(x + y)^2​

Answers

Answer:

- ( 5x + y ) ( x + 5y )

or

-5x^2 - 5y^2 - 26xy

Answer:

Step-by-step explanation:

4(x^2-2xy+y^2)-9(x^2+2xy+y^2)

4x^2-8xy+4y^2-9x^2-18xy-9y^2

-5x^2-26xy-5y^2

-5x^2-xy-25xy-5y^2

-x(5x+y)-5y(5x+y)

(-x-5y)(5x+y) or you can also remove the negative one to get

-(x+5y)(5x+y)

The price of a technology stock was $9.84 yesterday. Today, the price fell to $9.73. Find the percentage decrease. Round your answer to the nearest tenth of a percent.

Answers

Answer:

1.1 percent

Step-by-step explanation:

[(9.73 - 9.84) / 9.84 ] * 100 = -1.1 percent change = 1.1 percent decrease

Other Questions
Solve for :92 + 21048 + 140Rep the national road road ended at what city and state Classify each pair of angles as adjacent, vertical, supplementary, complementary, or neither. AdjacentVerticalSupplementaryComplementaryNeitherPLEASE HELPP MEE the substance present in the cell wall is protein true or falseboth animal and plant cells have cell membrane true or False How are the poor to be viewed or treated? A group of 140 students at an elementary school were asked if they prefer the color orange to the color green. The results are shown in the table below. Given that a randomly selected survey participant is a male, what is the probability that this student prefers the color green?Enter your answer as a fraction. Male Female TotalOrange 12 50 62Green 5 73 78Total 17 123 140Provide your answer below:$$ The ovum is produced in the ovaries and transported to the uterus via thevulva.vas deferens.vagina.fallopian tubes. In a particular week, Maryworked 8 hours per day for 3days and 4 hours per day for 2days. She was paid $10 per hour.How much did she earn for thatweek?A. $ 120.B. $ 320.C. $ 400.D. $ 600. What is the slope of the line through the points (-4, 2) and (-16, -6)? What were three technologies that helped the indian ocean trade A player prefers to make high passes that lift the puck above the ice. Which stick should theplayer choose? Six friends go to lunch and the total cost of lunch is $41.12. After using a $5 coupon to reduce the bill, the friends split the cost of lunch evenly. How much does each friend owe?A $6.20B $6.02C $6.85 PLEASE HELP ASAP THANK YOU!!!!!which was not an example of a push factor for immigration A. german jew fleeing religious persecution B. swedes settling on public lands in the united states C. german artisans being put out of the business by factory made products D. catholics who faced discrimination in Ireland left to come to the united states PLS HELP ILL MARK BRAINLIEST THANK U (1/p-p)(1/p-q)-q/p^2(1/q+qp^2) Collin is paid 99.44 for a 8 hour shift what is Collins pay per hour how many protons electrons and neutrons does the following isotopes contain 1H+ Please answer!!! Ill make brainliest PLEASE HELP!!!!!!!! giving brainlist Question 16What is the slope of a line passing through (2, 2) and (3,5)?