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

Which statement is NOT true about the algebraic representation (x,y) → (1/3x,1/3y)?
PLEASE HELP
BRAINLIEST
20 points

Answers

A is Not True This was Hard for me too

Please help I have no idea how to answer this question

Answers

Answer:

n = 3

Step-by-step explanation:

plug in 3 for n in the equation:

Numerator: n + 1 = 3 + 1 = 4

Denominator: 2^n = 2^3 = 2 * 2 * 2 = 4 * 2 = 8

Simplify the fraction. Divide common factors from both the numerator and denominator:

(4/8)/(4/4) = 1/2

1/2 = 1/2 ∴ n = 3

~

Help please! look at image below

Answers

Answer:

otf grandson c or b or a

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A cone fits inside a square pyramid as shown. For
every cross section, the ratio of the area of the circle to
Since the area of the circle is the area of the
square, the volume of the cone equals
the area of the square is
or 7
402
o the volume of the pyramid or - Alenchor
arh.
Cross section
r
o the volume of the pyramid or
+(1200)
2n.
o the volume of the pyramid or z { nºm) or
7
2r
2r
22h.
0 Į the volume of the pyramid or = { 29°m) oraz
arh.
m no

Answers

The volume of the cone is [tex]\frac{\pi}{4}[/tex] the volume of the pyramid

The ratio of the area is given as:

[tex]R= \frac{\pi r^2}{4r^2}[/tex]

or

[tex]R= \frac{\pi}{4}[/tex]

The volume of a cone is:

[tex]V_1 = \frac 13 \pi r^2 h[/tex]

For a pyramid, the volume is:

[tex]V_2 = \frac 43 r^2h[/tex]

Rewrite as:

[tex]V_2 = 4 * \frac 13 r^2h[/tex]

Divide by 4

[tex]\frac{V_2}{4} = \frac 13 r^2h[/tex]

Substitute [tex]\frac{V_2}{4} = \frac 13 r^2h[/tex] in [tex]V_1 = \frac 13 \pi r^2 h[/tex]

So, we have:

[tex]V_1 = \frac{V_2}{4} * \pi[/tex]

This gives

[tex]V_1 = \frac{\pi}{4} V_2[/tex]

Hence, the volume of the cone is [tex]\frac{\pi}{4}[/tex] the volume of the pyramid

Read more about volumes at:

https://brainly.com/question/9554871

Two apps launched on the same day. At the end of the first week, the number of visitors to each app was 25. For the first 6 weeks, the number of visitors to each app increased according to the following words. App A: The number of visitors doubles each week. App B: The number of visitors increased by 150 each week.

Answers

Answer:

i don't know the answer today I say tomorrow

express y= x² + 2x + 3 in the form of y= (x-h)² + k​

Answers

Given:

The equation is

[tex]y=x^2+2x+3[/tex]

To find:

The vertex form of the given equation, i.e., [tex]y=x^2+2x+3[/tex].

Solution:

We have,

[tex]y=x^2+2x+3[/tex]

It can be written as

[tex]y=(x^2+2x)+3[/tex]

Add and subtract square of half of coefficient of x, i.e., [tex]\left(\dfrac{2}{2}\right)^2=1[/tex].

[tex]y=(x^2+2x+1)-1+3[/tex]

[tex]y=(x^2+2(x)(1)+1^2)+2[/tex]

[tex]y=(x+1)^2+2[/tex]                   [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]

Therefore, the required form of given function is [tex]y=(x+1)^2+2[/tex].

b
С
c
5 in.
35°
B
O c = (5)cos(359)
Oc=
cos(350)
O c = (5)sin(35)
Oc=_5
[
sin(35)

Answers

Answer:

[tex]c=\frac{5}{\cos35^{\circ}}[/tex]

Step-by-step explanation:

Using basic trig for right tringles ([tex]\cos\theta =\frac{\text{adj}}{\text{hyp}}[/tex]), we have the following equation:

[tex]\cos 35^{\circ}=\frac{5}{c},\\c=\boxed{\frac{5}{\cos 35^{\circ}}}[/tex].

The value of c in the right triangle ABC is 5 / cos 35°

Right triangle:

Right triangle has one of its sides as 90 degrees. The sides of a right triangle can be found using trigonometric ratios as follows;

cos 35 = adjacent  / hypotenuse

where

adjacent side = 5 inches

c = hypotenuse

Therefore,

cos 35° = 5 / c

cross multiply

c cos 35° = 5

divide both sides by cos 35°

c = 5 / cos 35°

learn more on right triangle here: https://brainly.com/question/4364353

how can we write x+x+5+5 in 2 different ways​

Answers

Answer:

x + 5 + x + 5

5 + 5 + x + x

Step-by-step explanation:

Answer:

:

Step-by-step explanation:

2x+10

2x+5+5

............

COME ON PEOPLE THIS IS 8TH GRADE MATH! Please help before I fail!
Data was collected about the number of years of playing football and annual starting salaries in the NFL. The data can be summarized by the equation s=54x +0.5, where s is the starting salary, in millions, and x is the number of years playing football. According to this model, how much money does an NFL player make each year? Write your answer in millions. Here since nobody wants to answer something that will get your attention! GUYS, PLEASE HELP ME!

Answers

Answer and Step-by-step explanation:

The answer should be 54 million.

Plug in 1 for x, which you get 54.5.

Then you plug in 2 for x, which you get 108.5

Now, subtract the subtract the 1st one from the 2nd one.

108.5 - 54.5 = 54 (million)

#TEAMTREES #PAW (PLANT AND WATER)

Work out the size of angle x.
38°
х
101

Answers

Answer:

41°

Step-by-step explanation:

the sum of the interior angles is 180 degree

so,

38 + x + 101 = 180

139 +x = 180

x = 180 - 139

x= 41°

Solve using substitution ​

Answers

Y=10.86
X=-2.57
ANSWER- (X,Y) (-2.57, 10.86)

the perimeter of a square piece of confetti is 28 mm. how long is each side of the piece of confetti?​

Answers

Answer:

7 mm

Step-by-step explanation:

A square has 4 equal sides, so the piece of confetti will have 4 sides of the exact same length.

Find the length of each side by dividing the perimeter by 4

28/4

= 7

So, each side of the confetti piece is 7 mm

A family has two cars. The first car gets 25 miles per gallon and the second car gets 15 miles per gallon. In a week the two cars went 725 miles and consumed 35 gallons of gas. How much gas did each car use?

Answers

Answer:20 and 15 gallons

Step-by-step explanation:

Given

The first car gets 25 miles per gallon

The second car gets 15 miles per gallon

Two cars consumed 35 Gallons

they went for 725 miles in total

suppose the first car consumes x gallons

so, the second car consumes 35-x gallons of gas

We can write

[tex]\Rightarrow 25x+15(35-x)=725\\\Rightarrow 25x-10x=725-525\\\Rightarrow 10x=200\\\Rightarrow x=20[/tex]

First consumed 20 gallons and second consumed 15 gallons

In this figure, ST is a line.

What is the value of x?

BTW that says 2/3x

Answers

Answer:

x=108 degrees

Step-by-step explanation:

Since ST is a straight line, it measures 180 degrees. This means that x+(2/3)x=180. The simplified version is 5x/3=180. Now, we multiply both sides by 3. The equation becomes 5x=540; which is ultimately x=108.

Answer: x=108 degrees

Step-by-step explanation:

Since ST is a straight line, it measures 180 degrees.

This means that:

x+(2/3)x=180

The simplified version is 5x/3=180. Now, we multiply both sides by 3. The equation becomes 5x=540; which is ultimately x=108.

can you explain for me question number 4,5,6,7,8 thanks i will give you a brainliest

Answers

Answer:

17/24 pizza

7/8 of questions

7/10 of   the newspapers

dylan 1 1/4 miles sonia 1 1/10 miles

answer b

Step-by-step explanation:

The width of a box in the shape of a rectangular prism is 4 inches more than the height h . The length is the difference of 9 inches and the height. A. Write a polynomial that represents the volume of the box in terms of its height (in inches). B. The volume of the box is 180 cubic inches.

Answers

Answer:

[tex](a)[/tex] [tex]V = -H^3+ 5H^2 + 36H[/tex]

[tex](b)[/tex] [tex]Length = 5in; Width = 9in; Height = 5in[/tex] or [tex]Length = 3in; Width = 10in; Height = 6in[/tex]

Step-by-step explanation:

Let:

[tex]W=Width; L = Length; H = Height[/tex]

Given

[tex]W = 4 + H[/tex]

[tex]L = 9 - H[/tex]

Solving (a): The polynomial for the volume in terms of height

Volume (V) is calculated using:

[tex]V = L * W * H[/tex]

[tex]V = (9 - H) * (4 + H) * H[/tex]

Expand

[tex]V = (9 - H) * (4H + H^2)[/tex]

Open brackets

[tex]V = 36H + 9H^2 - 4H^2 - H^3[/tex]

[tex]V = 36H + 5H^2 - H^3[/tex]

Rewrite as:

[tex]V = -H^3+ 5H^2 + 36H[/tex]

Solving (b): The dimensions when Volume = 180

Substitute 180 for V in: [tex]V = -H^3+ 5H^2 + 36H[/tex]

[tex]180 = -H^3+ 5H^2 + 36H[/tex]

Rewrite as:

[tex]H^3 - 5H^2 - 36H + 180 = 0[/tex]

Factorize:

[tex]H^2(H - 5) - 36(H - 5) = 0[/tex]

[tex](H^2 - 36)(H - 5) = 0[/tex]

Express [tex]H^2 - 36[/tex] as difference of two squares

[tex](H - 6)(H + 6)(H - 5) =0[/tex]

This gives:

[tex]H - 6 =0==> H = 6[/tex]

[tex]H + 6 =0==> H = -6[/tex]

[tex]H - 5 =0==> H = 5[/tex]

Since the height can not be negative, then H = 5 or H = 6

Recall that:

[tex]W = 4 + H[/tex]

[tex]L = 9 - H[/tex]

When H = 5

[tex]W = 4 + 5 = 9[/tex]

[tex]L = 9 - 5 = 4[/tex]

When H = 6

[tex]W = 4 + 6 = 10[/tex]

[tex]L = 9 - 6 = 3[/tex]

Hence, the dimensions of the box are:

[tex]Length = 5in; Width = 9in; Height = 5in[/tex]

or

[tex]Length = 3in; Width = 10in; Height = 6in[/tex]

The volume of the box is given by -h³ + 5h² + 36h

Volume

Volume is the amount of space occupied by a three dimensional object. The volume (V) of a box is given by:

V = length * width * height

Let h represent the the height, hence width = h + 4, length = (9 - h)

V = h(h + 4)(9 - h) = h(5h -h² + 36) = -h³ + 5h² + 36h

For a volume of 180 in³:

180 = -h³ + 5h² + 36h

h = 5 or 6.

The volume of the box is given by -h³ + 5h² + 36h

Find out more on Volume at: https://brainly.com/question/1972490

Sum of all digits in integers from one and a billion.

Please send the answer As Soon As Possible...please

Answers

Answer:

The is coming this:-

500,000,500,000

Did you get this in vedantu

Gerogia is selling ice cream from her store at the beach. She opens the day with 500 servings of ice cream. Durning the day she sells enough ice cream to decrease her total servings by 65%. How many servings does she have left at the end of the day. (HURRYY PLEASE MY TEST IS GOING TO BE DONE SOON)

Answers

Answer:

325

Step-by-step explanation:

65% of 500 is 325

Which pair of angles are vertical angles

Answers

Answer:

angles J and N

Step-by-step explanation:

vertical angles are congruent angles that are vertically across from each other

angle j and angle n are both right angles and they are both vertically across from each other therefore A is your answer

??? Help me with my work pls

Answers

Answer:

2. 10 + 5 x 2                    $20

3. 10 + 5 x 3                    $25

4. 10 + 5 x 4                    $30

Hope that helps!

Step-by-step explanation:

Answer:

2) 10+5x2= 20

3) 10+5x3= 25

4) 10+5x4= 30

Step-by-step explanation:

just add 5 every time

9.6 dm= _____ cm
5.3 dm = _____ mm
0.45 dm = _____ cm
15 mm = _____ cm
17 cm = ______dm
45 cm = ______ metre
Ill give 15 points
Help pls

Answers

Answer:

96 cm

53 cm

4,5 Cm

1,5 Cm

1.7dm

0,5m

Step-by-step explanation:

Dm to Cm ×10

mm to cm ÷10

The flag has been rotated clockwise 122°. Consider this single transformation to be a composition of reflections over two intersecting lines.
The measure of the angle between the two intersecting lines is
A degrees

Answers

Answer is in the file below

tinyurl.com/wtjfavyw

Find the Slope-intercept equation of the line which passes through (3, -4) and (-3, 8).

Answers

Answer:

y = -2x + 2

Step-by-step explanation:

8 + 4/ -6

= -2

y = -2x + b

8 = -2(-3) + b

8 = 6 + b

2 = b

check work

-4 = -2(3) + 2

-4 = -6 + 2

-4 = -4

it is correct

Joe spent $45 on a new pair of tennis shoes. If
the shoes were on sale for 25% off, what was
the original price?

Answers

Answer:

Original price = $60

Step-by-step explanation:

Given:

Sales price of shoes = $45

Discount rate = 25%

Find:

Original price

Computation:

Original price = Sales price of shoes[1/(1-Discount rate)]

Original price = 45[1/(1-25%)]

Original price = 45[1/(1-0.25)]

Original price = 45[1/(0.75)]

Original price = $60

Answer:

Step-by-step explanation:

$60

help me plzz.im dying.

Answers

Answer:

B

Step-by-step explanation:

is this answer

Dan is planning an event for which the total cost cannot exceed $400. Dan plans to spend $180 on food and to hire a clown at the rate of $35 per hour. Which inequality correctly shows Dan's spending in terms of h, the number of hours that the clown can be at the party? *

Answers

Answer:

using above inequality equation, we can find the total hours in which the clown can be at the party

The correct inequality for the Dan's spending in terms of h, the number of hours that the clown can be at the party will be;

⇒ $180 + $35h < $400

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

Dan is planning an event for which the total cost cannot exceed $400.

And, Dan plans to spend $180 on food and to hire a clown at the rate of $35 per hour.

Now,

Let number of hours = h

So, We can formulate;

Total spend money = $180 + $35h

Hence, The correct inequality for the Dan's spending in terms of h, the number of hours that the clown can be at the party will be;

⇒ $180 + $35h < $400

Thus, The correct inequality for the Dan's spending in terms of h, the number of hours that the clown can be at the party will be;

⇒ $180 + $35h < $400

Learn more about the inequality visit:

https://brainly.com/question/25275758

#SPJ5

If you graphed this system, what would the solution be?

y=2x
y=−1x−6

Answers

Answer:

(-2, -4)

Step-by-step explanation:

[y = 2x, y = -x -6]

Solve by substitution:

-x - 6 = 2x

simplify

3x = -6

divide

x = -2

Plug back in one equation to solve for y coordinate:

y = 2(-2)

y = -4

(-2, -4)

Based on the article, which of the following is MOST important to all economic systems?
A. Economic freedom
B. Factors of production
C. Equal distribution of wealth
D. Government-owned services

Answers

It’s A because yea just it is and grabbed

May someone help me with this :)

Answers

Answer:

Step-by-step explanation:

9x5=45

45=area

9+9+5+5=28

28=Per

#2

π x 8^2

=16

A=16π

2 x π x 8

P=16π

#3

hxb/2

=10x24/2

=120

A=120

P=60

What are the values of x and y? I REALLY NEED Y , I HAVE X. I will mark you brainliest if you give me y and its correct!​

Answers

Answer:

72.5°

Step-by-step explanation:

180° - 35° = 2y°

145° = 2y

145/2 = 50+22+0.5 = 72.5

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