A designer builds a model of a sailboat. The finished model is exactly the same shape as the original, but smaller. The scale factor is 2:9. (a) Find the ratio of the surface area of the model to the surface area of the original. (b) Find the ratio of the height of the model to the height of the original. (c) Find the ratio of the volume of the model to the volume of the original.

Answers

Answer 1

Answer:

6.2

Step-by-step explanation:

Answer 2

(A) The ratio of the model to the surface area of original 81 : 4.

(B) The ratio of the height of the model to the height of the original 9 : 2.

(C) The ratio of the volume of the model to the volume of the original 729 : 8.

What is ratio?

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

The scale factor = 2 : 9

(A)

The surface area of the model to the surface area of original

= (9)² : (2)²

= 81 : 4

= 20.25

(B)

The ratio of the height of the model to the height of the original

= 9 / 2

= 4.5

(C)

The ratio of the volume of the model to the volume of the original

= (9)³ : (2)³

= 729 : 8

= 91.125

To know more about Ratio on:

https://brainly.com/question/23724140

#SPJ2


Related Questions


A bear sleeps for 18 hours a day.
What percentage of a day is the bear asleep?

Answers

I’m pretty sure it’s 75% since it’s 24 hours in a day and the bear sleeps for 18 hours a day

BRAINLIEST!!! please help!!!
Find the probability that the next student will select hamburger for lunch. You must write your answer as a fraction.

Answers

Answer: 12/40

Step-by-step explanation:

Basically you gotta add up all of the number of students who are getting each of the food, then you have to put the number of student that want a hamburger. You also have to create the fraction which is 12/40

Step-by-step explanation:

Total = 8 + 12 + 14 + 6 = 40

The amount of people who had a hamburger is = 12

So twelve over forty will be the probability of the next student who picks a hamburger

Answer:

12/40

how do you draw on essay questions on online school pls help ASAP​

Answers

Answer:

i dont think that you can

perhaps attatch a file of a drawing to the question you are answering for school

Step-by-step explanation:

Answer:

Answer the question according to general rules of academic writing. Use indentations; begin each paragraph with a topic sentence; support the topic sentence(s) with reasons and/or examples; use transition words to show logical organization; write a conclusion. Use correct punctuation throughout.

Step-by-step explanation:

i dont know is this what u meant lol

Looking at the sample space (8 possible
outcomes), what is the probability that yo
would get HHH or TTT?

Answers

Answer:

1/4

Step-by-step explanation:

2 outcomes out of a possible 8.

p(HHH or TTT) = 2/8 = 1/4

i need help please i’ll give u a brainliest for the correct answer

Answers

Answer:

75.4m²

Step-by-step explanation:

The shape shown is a cylinder

The volume of a cylinder can be calculated using this formula:

[tex]V=\pi r^2h[/tex]

where r = radius and h = height

The cylinder shown has a radius of 2m and a height of 6m

Using this information we plug in the values into the formula

[tex]V=\pi 2^26\\2^2=4\\4\pi =12.56637\\12.56637*6=75.39822[/tex]

So the area of the cylinder is 75.39822

Our final step is to round to the nearest hundredth

The final answer would be 75.4m²

Answer is 75.4 m^2……….

Ms. Geiger made 100 cupcakes. 60/100 were chocolate, 2/10 were vanilla, and the rest were red velvet. What fraction of the cupcakes were red velvet?

Answers

Answer:

2/10

Step-by-step explanation:

Ms. Geiger made 100 cupcakes.

a) Number of chocolate

60/100 were chocolate

= 60/100 × 100 = 60 chocolate cup cakes

b) Number of vanilla

2/10 were vanilla

Hence:

2/10 × 100 = 20 vanilla cup cakes

c) the rest were red velvet.

Number rod red velvet = 100 - (60 + 20)

= 100 - 80

= 20 velvet cupcakes

What fraction of the cupcakes were red velvet?

Converting to fraction

Number of velvet cupcakes/Total number of cakes

= 20/100

= 2/10

Can someone help with this please . I really don't understand it!!!!!!!!

Answers

natural log = ln= log base e = logₑ

normal log = log = log base 10 = log₁₀

when someone says log you consider it log₁₀

when someone specifically says natural log or ln you consider logₑ

The solids are similar. Find the missing dimension.

Answers

I think d is 12 ft. for you

0.5 ft
0,4 ft
0.8 ft
Volume of prism =
V = 0.04 ft
O V = 0.064 it
O V = 0.08 it
5) Find the area of the base for the triangular prism.
Type here to search
Bi

Answers

Answer:

Huh I don’t understand this one but I got you

Step-by-step explanation:

Asking again because last time I didnt get an actual answer. What is the surface area of this composite figure?

Answers

Answer:

644 cm^2

Step-by-step explanation:

10*7*2+12*7*2+12*10=140+168+120=428

10*12-3*3=111

428+111=539

8*3*4+3*3=96+9=105

539+105=644

Drag each number to the box on the right so it matches the value of the expression on the left. Each number may be used once, more than once, or not at all. 25 returned to choices list. 33.6252768.48 Expression Value of the Expression [ 4 × ( 4 + 3 ) ] − 3 [ ( 7 − 5 ) ÷ 1 2 ] × 2 ( 5 . 4 + 3 ) × ( 6 − 2 ) [ 9 ÷ 3 + 6 ] × 3 ( 4 + 3 . 2 ) × [ ( 9 − 2 ) + 2 . 5 ]

Answers

Answer:

[tex]-62024.48[/tex]

Step-by-step explanation:

Given

[tex][ 4 * ( 4 + 3 ) ] - 3 [ ( 7 - 5 ) \div 1 2 ] * 2 ( 5.4 + 3 ) * ( 6 - 2 ) [ 9 \div 3 + 6 ] * 3 ( 4 + 3.2 ) * [ ( 9 - 2 ) + 2.5][/tex]

Required

Solve

The question is poorly formatted; the only way to answer this is to place the result of each step in brackets until brackets cannot be used.

So, we have

[tex][ 4 * ( 4 + 3 ) ] - 3 [ ( 7 - 5 ) \div 1 2 ] * 2 ( 5.4 + 3 ) * ( 6 - 2 ) [ 9 \div 3 + 6 ] * 3 ( 4 + 3.2 ) * [ ( 9 - 2 ) + 2.5 ][/tex]

Solve the expressions in the inner brackets

[tex][ 4 * 7 ] - 3 [ 2 \div 1 2 ] * 2 ( 8.4 ) * ( 4 ) [ 9 \div 3 + 6 ] * 3 ( 7.2 ) * [ 7 + 2.5 ][/tex]

Solve all divisions

[tex][ 4 * 7 ] - 3 * \frac{1}{6} * 2 ( 8.4 ) * ( 4 ) [ 3 + 6 ] * 3 ( 7.2 ) * [ 7 + 2.5 ][/tex]

[tex][28] - 0.5 * (16.8) * (4) [9] * (21.6) * [9.5][/tex]

[tex][28] - 0.5 * (16.8) * [36] * (21.6) * [9.5][/tex]

Multiply through

[tex]28- 62052.48[/tex]

[tex]-62024.48[/tex]

omg can someone plzz help me

Answers

Answer:

do you mean to put it in y=mx+b form because that would be y=2+2

10. Shown is a circle centre o
BC and D are points on the circumference
ABO S a straight line
AC is a tangent to the circle.
320
A. Find the mZAOC
B. Find the mZBDC
C. Find the mZACD

Answers

AB is a  a straight line and AC is a tangent to the circle, then the

(a) ∠AOC = 58°  

(b) ∠BDC = 32°  

(c) ∠ACD = 148°

According to the figure,

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

What is the tangent of the circle?

It is the line which intersects the circle exactly at one point.

(a) Find m ∠AOC

Sum of three angles of a triangle is = 180°

So, in Triangle AOC = 180°

∠A + ∠O + ∠C = 180°

See in Image, ∠A and ∠C are 90° and 32°

∠A + ∠O + ∠C = 180°

We can substitute these values,

∠O = 180 - ∠A - ∠C

∠O = 180 - 90 - 32

∠O = 58°

∠AOC = 58°  

(b) ∠BDC is a parallelogram,

So,

Opposite angle is equal,

∠BDC = ∠ABC

∠BDC = 32°     ( since ∠ABC = 32°  )

(c) Find m ∠ACD

Sum of three angles of a triangle is = 180°

So, in Triangle ACD = 180°

∠A + ∠C + ∠D = 180°

See in Image, ∠A and ∠D are 90° and 32°

∠A + ∠D + ∠C = 180°

We can substitute these values,

∠C = 180 - ∠A - ∠D

∠C = 180 - 90 - 32

∠C = 58°

Now,

∠ACD = 90 + 58

∠ACD = 148°

Therefore,

The circumference of tangent to the circle,

(a) ∠AOC = 58°  

(b) ∠BDC = 32°  

(c) ∠ACD = 148°

To learn more about information visit Tangent of the circle :

brainly.com/question/21474278

#SPJ1

Sachin wants to create two rectangular enclosures in his backyard with fencing for his pet rabbit and dog.
He wants the two enclosures to have equal areas and to share one common side. He has 30 m of fencing
to use and wants to maximize the total area of both fenced in enclosures. Round your final answer to 2
decimal places, where necessary. Determine the dimensions of one rectangular enclosure.

Answers

Answer:

perimeter of rectangular enclosures =30m

2(l+b)=30m

l+b=30/2

l=15-b..........1

now

since it has equal area their l and breadth too are equal

new

perimeter =15/2=7.5m

the dimensions of one rectangular enclosure is 7.5m.

Cathy made chocolate peanut butter fudge. She made enough chocolate fudge to fill 5 boxes. If she made 2/3 as much peanut butter fudge, how many boxes will the peanut butter fudge fill?

Answers

Answer: 3¹/₃ boxes

Step-by-step explanation:

She made enough fudge to fill up 5 boxes then made 2/3 as much peanut butter.

To find out the number of boxes the peanut butter would fill, simply find out what is 2/3 of 5 boxes:

= 2/3 * 5

= 3.33 boxes

= 3¹/₃ boxes

Darien is discounting all prices on the sales for 20%. Which expression below represents the price, p, of any item he marks down

A) 2.2p

B) 1.2p

C)0.8p

D)0.2p

Answers

Answer: C. 0.8p

Step-by-step explanation:

Since Darien is discounting the prices by 20%, the new price will be 80% of the original price, or 0.8 times the original price

What is the x-coordinate of the point that divides the directed line segment from J to k into a ratio of 2:5?​

Answers

Answer:

The x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5 is -2.

Step-by-step explanation:

Compare these rational numbers. Which of the following are true?

Answers

Answer:

i. false

ii. true

iii. true

iv. false

When comparing negative numbers, if you disregard the negative sign, the apparent greater value will actually be the smaller.

Find the value of x.

Answers

Answer:

The value of x is 70

Step-by-step explanation:

Here, we want to find the value of x

To do this, we are going to use one of the circle tangent relationships

we have this as;

24 = (118-x)/2

2(24) = 118-x

48 = 118-x

x = 118-48

x = 70

On a coordinate grid, an island is located at (1,6). Another island is located at (4,9). What is the distance between the islands if the distance between consecutive grid lines represent 2 miles?

Answers

Answer:

6√2

Step-by-step explanation:

Need Answer Immediately!!!!!

Answers

Answer:

y = [tex]\frac{-5}{4}[/tex]x + 3

Step-by-step explanation:

As shown in the graph, the line is a straight line. Therefore, the general equation of a straight line can be employed to derive the equation of the line.

The general equation of a straight line is given by:

y = mx + c or            -------------(i)

y - y₁ = m(x - x₁)        -----------------(ii)

Where;

y₁ is the value of a point on the y-axis

x₁ is the value of the same point on the x-axis

m is the slope of the line

c is the y-intercept of the line.

Equation (i) is the slope-intercept form of a line

Steps:

(i) Pick any two points (x₁, y₁) and (x₂, y₂) on the line.

In this case, let;

(x₁, y₁) = (0, 3)

(x₂, y₂) = (4, -2)

(ii) With the chosen points, calculate the slope m given by;

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

m = [tex]\frac{-2-3}{4-0}[/tex]

m = [tex]\frac{-5}{4}[/tex]

(iii) Substitute the first point (x₁, y₁) = (0, 3) and m = [tex]\frac{-5}{4}[/tex] into equation (ii) as follows;

y - 3 = [tex]\frac{-5}{4}[/tex](x - 0)

(iv) Solve for y from (iii)

y - 3 = [tex]\frac{-5}{4}[/tex]x

y = [tex]\frac{-5}{4}[/tex]x + 3 [This is the slope intercept form of the line]

Where the slope is [tex]\frac{-5}{4}[/tex] and the intercept is 3

A bag of apples weighs 7 6/8 pounds. A crate of bananas is 6 times as heavy as the apples. How much heavier are the bananas than the apples?

Answers

Weight of crate of bananas is 52.2 pounds

which expression is equivalent to (4*2) 1/3

Answers

Answer:

B

Step-by-step explanation:

The area of a rectangle is 126 cm 2 squared. If the length of the rectangle is 14cm, what is the width?

Answers

Answer:

126/14

9 is the answer

width=area/breadth

Step-by-step explanation:

hope this will help you

Quadrilateral ABCD has two pairs of parallel opposite sides and the m∠A=90°. Classify quadrilateral ABCD.

Answers

Answer: Rectangle

Step-by-step explanation: A rectangle has opposite sides which are parallel and congruent and a rectangle must have a right angle

Line segment ON is perpendicular to line segment ML, and PN = 10.

Circle O is shown. Line segments M O, N O, and L O are radii. Lines are drawn to connects points M and N and points N and L to form chords. A line is drawn from point M to point L and intersects line O N at point P. The length of O M is 25 and the length of P N is 10. Angle O P L is a right angle.

What is the area of triangle MOL?

200 square units
250 square units
300 square units
500 square units

Answers

Answer:

500

Step-by-step explanation:

Answer:

300 is right on edge

500 is WRONG

Step-by-step explanation:

edge test is done

Please show work on how to do this​

Answers

Answer:

- 2.71

Step-by-step explanation:

2· [tex]4^{v + 4}[/tex] + 20 = 322· [tex]4^{v + 4}[/tex] = 12[tex]4^{v + 4}[/tex] = 6(v + 4) log 4 = log 6v + 4 = log 6 / log 4v + 4 = 1.29  (rounded)v = 1.29 - 4v = - 2.71

Four stores have the same laptop computer on sale. The regular price of the computer is $600.
Store 1 is offering the computer on sale with a 15% discount. Store 2 is offering the computer on
sale with a $50 off coupon. Store 3 is offering the computer on sale with a rebate of $20. Store 4
is offering the computer for $520. Which store is offering the best deal before taxes?
A Store 1
B Store 2
C Store 3
D Store 4

Answers

Store one since the 15% is take off 90 dollars which makes it 510

Which equation can be used to solve for x, the increase in side length of the square in inches?

x2 + 4x – 81 = 0
x2 + 4x – 65 = 0
x2 + 8x – 65 = 0
x2 + 8x – 81 = 0

Answers

Answer:

x2 + 8x – 65 = 0

Step-by-step explanation:

Complete question

A square picture with a side length of 4 inches needs to be enlarged. The final area needs to be 81 square inches. Which equation can be used to solve for x, the increase in side length of the square in inches? x2 + 4x – 81 = 0 x2 + 4x – 65 = 0 x2 + 8x – 65 = 0 x2 + 8x – 81 = 0

Given the initial side length = 4in

Initial area = L²

L is side length of the square

Initial area = 4²

Initial area = 16 square inches

Area of the enlarged square = 81 square inches

To get the constant term of the expression, we will find the difference in the areas

Difference = 85 - 16

Difference = 65 square units

The coefficient of x will be the 2 *initial area of the square

Given the standard form of an expression as

ax^2 + bx + c

a = 1, b = 2*4 = 8, c = -65

Substitute

x^2 + 8x - 65

This gives the required expression

Answer:

C) x2 + 8x – 65 = 0

Step-by-step explanation:

edge

Which statements are true? Check all that apply.

The ratio of the measure of the central angle to the measure of the entire circle is StartFraction 5 Over 2 pi EndFraction.
The ratio of the measure of the central angle to the measure of the entire circle is Five-halves.
The area of the sector is 250 units².
The area of the sector is 100 units².
The area of the sector is more than half of the circle’s area.

Answers

Answer:

1, 3, 5

Step-by-step explanation:

just took the edge.

The area of the sector is 250 units². Therefore, the correct option is option A among all the given options.

What is sector of circle?

A circle's sector is a pie-shaped portion made up of the arc and its two radii. At both ends of the arc, when a section of the circle's circumference (also called as an arc) and two of its radii meet, a sector is produced. A sector of such a circle resembles a piece of pizza or a pie in shape.

A circle ranks among the most ideal shapes in geometry. The simplest geometric shape is that of a circle's sector. It has a number of its own components. such as sector, segmentation, circumference, segment, and diameter. The area of the sector is 250 units².

Therefore, the correct option is option A.

To know more about sector of circle, here:

https://brainly.com/question/15591260

#SPJ7

Other Questions
The area of a trapezoid is 96 m. If the two bases measure 11m and 13m, solve for the height. Jackson Products produces a barbeque sauce using three departments: Cooking, Mixing, and Bottling. In the Cooking Department, all materials are added at the beginning of the process. Output is measured in ounces. The production data for July are as follows: Production: Units in process, July 1, 60% complete* 10,000 Units completed and transferred out 80,000Units in process, July 31, 80% complete* 15,000 * With respect to conversion costs.Required:a. Prepare a physical flow schedule for July.b. Prepare an equivalent units schedule for July using the FIFO method. 3+(-9)= oooooooooooooooooooooooo Help needed asap will give brainliest ASAP HELP NE PLEASE PLEASE PLEASE ASAP I WILL GIVE 100 points What is the percent change if the starting value is 25 and the final value is 30? Which statement about the Vietnam War is most likely true? Use the information from the movie to make an inference.[Vietnam scene] https://www.brainpop.com/socialstudies/ushistory/coldwar/A It involved a direct confrontation between the American and Soviet armies.incorrect answer.B It decided whether the nation of Vietnam would have a Communist or democratic government.incorrect answer.C.It involved the use of nuclear weapons.incorrect answer.D It was started by President Harry S Truman.incorrect answer. On a map, Tampa and Boston are 19 cm apart.The map scale is 1 cm = 100 km. What is theactual distance between the two cities? I need help I dont understand it Last year, Nicholas started babysitting to earn extra spending money. Over the summer, hetracked how much money he earned at each babysitting job. This box plot shows the results.Babysitting earnings ($)What percent of the time did Nicholas earn $25 or less? a.Name of the hierarchy that separated people into social classes according to their wealth?A.Base SystemB.Caste SystemC.Greek DivideD.Social Contrast Complete the solution of the equation. Find thevalue of y when x equals 26.X + 4y = 54Enter the correct answer. HELp Pls AsAp!!!!!!!!!!!!!!! In addition to how much force Earth exerts on the object, which features of an object affect its weight?O mass and location of the objectO shape and location of the objectO location of the object and how much energy the object hasO mass of the object and how much energy the object has A fair coin is flipped 3 times. Let X be the number of heads in the 3 tosses.(1) Find the pmf for X;(2) calculate the expected value of X. Please help me ASAP!!! Solve using substitution3x + y = 125x 2y = 17PLZ HELP Will give brainlist to whoever answers first Explain ONE development in the late twentieth century that likely shaped Rummels view of the relationship between democracy and mass violence. Mesquite, Inc. has held-to-maturity debt securities it purchased in 20X1. At December 31, 20X2, the amortized cost basis of the securities is $220,000 and the fair value of the securities is $208,000. The present value of estimated future cash flows discounted at the original effective interest rate is $210,000. Mesquite, Inc. uses IFRS for its external reporting. What amount of loss, if any, will Mesquite, Inc. report related to these securities for 20X2 Which shows the expression (4a ^ 5 * b) ^ 3 simplified?