The volumes of two similar solids are 729 m^3 and 125m^3. The surface area of a larger solid is 324 m^3. What is the surface area of the smaller solid

The Volumes Of Two Similar Solids Are 729 M^3 And 125m^3. The Surface Area Of A Larger Solid Is 324 M^3.

Answers

Answer 1

Answer:

100 m^2

Step-by-step explanation:

The scale factor of the volume of solids is the cube of the scale factor of linear dimensions.

The scale factor of the area of solids is the square of the scale factor of the linear dimensions.

Volume scale factor:

125/729 = (5/9)^3

Linear scale factor:

5/9

Area scale factor:

(5/9)^2 = 25/81

Proportion to find the area of the smaller one:

Let the area of the smaller one equal x.

25/81 = x/324

81x = 25 * 324

Divide both sides by 81

x = 25 * 4

x = 100

Answer: 100 m^2


Related Questions

An object was dropped off the top of a building. The function f(x)=-16x^2+400represents the height of the object above the ground, in feet, x seconds after being dropped. Find and interpret the given function values and determine an appropriate domain for the function.

Answers

Answer:

Domain exists on all real values and it is expressed according to the notation:

(-∞, ∞)

Step-by-step explanation:

The domain of a function is the values of the input variables x that will make the function exist.

Given the function f(x)=-16x^2+400

Since the variable x is a perfect square, this means that the function f(x) will exists for all values of x. The domain is expressed as:

(-∞, ∞)

A. Car B was 5 miles east of car A.
B. Car A was 15 miles east of car B.
C. Car A was 5 miles east of car B.
D. Car B was 20 miles east of car A.​

Answers

Answer:

B because if you go up two then over 5

Answer:

The answer is C

Estudios indican que la temperatura del agua disminuye conforme aumenta la profundidad: si en la superficie la temperatura es de 28°C (grados centígrados), a 200 metros es de 15°C. Si el comportamiento es lineal, determina la ecuación de la recta que relaciona a la temperatura con la profundidad.

Answers

Answer:

The equation that relates temperature to depth is y = 28 - 0.065·x

Step-by-step explanation:

Los parámetros dados son;

La temperatura del agua en la superficie = 28 ° C

La temperatura del agua a 200 m por debajo de la superficie = 15 ° C

Dado que la relación es lineal, tenemos;

Sea la pendiente de la relación = m, por lo tanto;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Dónde;

x₁ = 0 m, y₁ = 28 ° C, x₂ = 200 m, y₂ = 15 ° C, tenemos;

[tex]Slope, \, m = \dfrac{15^{\circ}C-28^{\circ}C}{200 \, m-0 \, m} = \dfrac{(-13)^{\circ}C}{200 \, m} = -0.065 ^{\circ}C/m[/tex]

Por lo tanto, la ecuación en forma de pendiente puntual se convierte en;

y - 28 = -0,065 × (x - 0)

y = -0.065 · x + 28 = 28 - 0.065 · x

Por lo tanto, la ecuación que relaciona la temperatura con la profundidad es y = 28 - 0.065 · x.

Wayne is planning to sell the twenty-room apartment building he bought fifteen years ago, for which he paid $759,000. The real estate market in his area has been falling since that time, and the property has decreased in value by 3.89% every year. Wayne rents each of his apartments for $495 per month, and upkeep on the building costs him $26,400 annually. Assuming that Wayne has kept his apartment com plex constantly three-quarters full, what will his net profit or loss be when he sells the building, to the nearest hundred dollars? a. $61,500 loss
b. $722,400 loss
c. $168,000 profit
d. $606,000 profit​

Answers

Answer:

D

Step-by-step explanation:

ED2020

The net profit of Wayne be when he sells the building is $606000 and this can be determined by using the formula of profit.

Given :

Wayne is planning to sell the twenty-room apartment building he bought fifteen years ago, for which he paid $759,000.The real estate market in his area has been falling since that time, and the property has decreased in value by 3.89% every year. Wayne rents each of his apartments for $495 per month, and upkeep on the building costs him $26,400 annually.Assume that Wayne has kept his apartment complex constantly three-quarters full.

First, determine the annual revenue which is given by:

Annual Revenue = Monthly Rent [tex]\times[/tex] Number of Rooms [tex]\times[/tex] Number of months [tex]\times[/tex] Three-quarters

Annual Revenue = 495 [tex]\times[/tex] 20 [tex]\times[/tex] 12 [tex]\times[/tex] (3/4) = $89100

Total Profit = (Annual Revenue - Annual Cost) [tex]\times[/tex] (Number of years)

                  = (89100 - 26400) [tex]\times[/tex] 15

                  = $940500

Now, the net profit of Wayne when he sells the building is given by:

Net Profit = Value of the building at the end of the 15th year + Total profit from renting - Cost of the building

Net Profit = 424490.38 + 940500 - 759000 = 605990.38

Net Profit [tex]\approx[/tex] $606000

Therefore, the correct option is D).

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One moving company charges $500 plus $20 per hour. Another moving company charges $620 plus $10 per hour. Write an equation to determine how many hours have to be worked for the moving companies to charge the same amount. Solve to determine how many hours?

Answers

Answer:

12 hours

Step-by-step explanation:

Let's say that our variable is x, where x equals the amount of hours.

You have an upright price of $500 for the first company, as well as an additional $20 an hour.

The second company has an upright price of $620, and charges $10 an hour.

f(x)= 20x+500

g(x)= 10x+620

You want to find how many hours must be worked for the two companies to charge the same amount.

You want to find how many miles it takes to make the two equations equal:

20x+500=10x+620 (Set them equal to each other because you are trying to find when the hours are equal and the cost is equal)

10x+500=620 (Subtract 10x from both sides)

10x=120 (Subtract 500 from both sides)

x=12 (Divide both sides by 10)

Remember that x is the amount of hours, so, the companies would charge the same if they worked for 12 hours.

Coach Sweeney walks 26 yards to the north along the sideline, pauses, and walks 12 yards back to the
south.
a. Determine the distance which Coach moved. b. Determine Coach's resultant displacement

Answers

Answer:

Distance: 38 yards

Displacement: 14 yards

Step-by-step explanation:

Marie needs a trombone for only 12 months.
Renting the trombone costs $34 per month. She
can buy the trombone for $495. Should she buy
or rent the trombone? Explain. How much will
she pay?

Answers

408 dollars for the 12 month rental and 495 dollars for the purchase

Answer:

Marie should rent the trombone

Step-by-step explanation:

If Marie rents it for 12 months it'll be 12x34= $408.

If Marie buys a trombone it'll cost her 495 which is more expensive.

Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions. Online Content: Site 1 If a person wanted to purchase their dream car, and keep it for many years, should they lease or buy? Why?

Answers

Answer:

Buy

Step-by-step explanation:

If it is truly your dream car and you want to keep it for many years to come without an exact amount of time then the best option would be to buy the car, assuming that you have the necessary cash to do so. Leasing a car means you would have to pay a monthly amount every single month, this amount quickly adds up and can become more than what the car is actually worth. Also, regardless of how many payments are made, once you stop making payments you would need to return the car. The car is never going to be owned by you by leasing. If you buy the car, once you decide you no longer want it, it is still yours to do as you wish. This includes selling it.

I need a step by step explanation on how to get y = mx + b

Answers

-3x + 4y = 4
4y = 3x + 4
Y = mx + b

\dfrac{6}{3}+\left(-\dfrac{1}6\right)= 3 6 ​ +(− 6 1 ​ )=start fraction, 6, divided by, 3, end fraction, plus, left parenthesis, minus, start fraction, 1, divided by, 6, end fraction, right parenthesis, equals

Answers

Answer:

1 5/6

Step-by-step explanation:

We are given:.6/3 + (- 1/6)

We have the rule

+ × - = -

Hence

6/3 - 1/6

LCM of the Denominators = 6

=(6 × 2) -(1 × 1)/6

= (12 -1)/6

= 11/6

= 1 5/6

Answer:

1 5/6

Step-by-step explanation:

if f(x)=2/3x2 +8x, what is the value f(6)

Answers

Answer:f(6)=72

Step-by-step explanation:

Solve the equation, justify
each step with an algebraic
property.
-45 = 5(x + 3)

Answers

Answer:

  x  = -12

Step-by-step explanation:

Given expression:

        -45 = 5(x + 3)

the solution of an algebraic expression is the value(s) that makes the expression true.

 In this problem, let us solve for x;

                -45 = 5(x + 3)  

   Applying the distributive property on the right hand side;

                -45  = 5x + 15

  Now, add (-15) to both sides of the expression;

               -45 + (-15) = 5x + 15 + (-15)

                -45 - 15  = 5x

                    -60    = 5x

Then  divide both sides by 5;

                x  = -12

please help me with this last question.

Answers

Answer:

d. 16

Step-by-step explanation:

d. 16 is the correct answer....

Hopes to get BRAINLIEST....

Thank you ☺️

Answer:

d. x = 16

Step-by-step explanation:

From the alternate interior angle theorem, we can see that the sum of the 2 labeled angles is 180. We can therefore set up an equation and solve for x:

7x + (2x + 36) = 180

9x + 36 = 180

9x = 144

x = 16

Therefore, x = 16.

which power of ten will you multiply by to convert meters to millimeters?

Answers

Answer:

multiply by 1,000

Step-by-step explanation:

since there are 1,000 millimeters per meter

Answer:

3 power

Step-by-step explanation:

Express 7.6109 x 108 in standard form.
A. O 7,610,900,000
B. O 76,109,000
C.O 761,090,000
D. O 0.000000076109

Answers

7.6109 x 10^8 = 761,090,000 (C)

4x-17>24(x-2) +5 and 5x-3>17 solve and graph.

Answers

Answer:

4x-17>24(x-2)+5 =

x < 13/10

The line graph with open circle going left into the negatives**

5x-3>17 =

x>4

line graph with open circle going right into the positives **

One bag of pretzels costs three dollars. Five bags of pretzels cost $10. Which has the lower unit price?

Answers

Answer:

one bag of pretzels

Step-by-step explanation:

hope this helps

Answer:

1 bag: $3

Step-by-step explanation:

The ratios are

1 bag: $3

5 bags: $10

to do this you need to simplify, the first one is already simplified so we need to do the second

5 bags: $10

=

1 bag: $2

So the first one is bigger

List two different possibilities for the angle measures of an isosceles triangle.

Answers

Answer:

Two different possibilities for the angle measures of an isosceles triangle are-:

In an isosceles triangle, the base angles have the same measure of degree and are equal (congruent) as a result.If two angles of a triangle have identical lengths in this triangle, then the sides opposite such angles are of the same length.

Step-by-step explanation:

AN ISOSCELES TRIANGLE -: The term isosceles, with the focus on the "sos," is pronounced "eye-sos-ell-ease." It is any triangle of the same length that has two sides. The unequal side of a triangle of isosceles is generally referred to as the triangle's 'base'. An isosceles triangle's base angles are always equal.

PLS HELPPP ME ASAP I WILL GIVE BRAINLIEST!!!!n

Answers

Answer:

392in²

Step-by-step explanation:

Bottom = 6x10=60

Back = 10x6=60

Front = 10x6 + 4x4=76

Back = 76

6x4=24

6x4=24

6x6=36

6x6=36

392 Total

Please answer this question.I would really appreciate it! I have put a picture of it right here.

Answers

Answer:

this equation don't have x... Just y

y = 10

Kay makes $54.00 for 6 hours of work. How much money does she earn per hour?
Show or explain your work. Write your answer in a complete sentence.

Answers

Answer:

She makes 9$ per hour.

Step-by-step explanation:

You divide 54 and 6 and you get your answer. Simple.

Answer: nine dollars is the amount that she earns per hour

explanation: the reason on why it will be nine because all you will have to do is find the unit rate. and how to find that is that all you have to do is divide the price with the amount of hours that she worked ( $54 / 6 = 9 ) and that will find the amount that she earns per hour

What is the slope-intercept form of the equation -4x+6y=-2

Answers

Y=2/3x-1/3 is you slope intercept form of the equation

Answer:

Y=2/3x-1/3

Step-by-step explanation:

the one in the bottom is 2.

Which ones do i choose

Answers

Answer:

-1 no explanation this is so easy

Step-by-step explanation:

wefwefwef

Rewrite 8.62 as a mixed number in simplest form.

Answers

Answer:

8 31/50

Step-by-step explanation:

HOPE THIS HELPS

Answer:

831 / 50

Step-by-step explanation:

Welcome !!!!!

The vet says the Lenas puppy will grow to be at most 33 in tall Lenas puppy is currently 1 foot tall how many more inches will the puppy grow?

Answers

Answer:

21 in

Step-by-step explanation:

1 ft=12 in

33in-12in=21in

In addition to his hourly wage, albert earns bonus when the amount of money collected is greater than the cost to print the total number of programs he sold. His bonus is equal to 1/2 of the difference between the amount of money collected. M(x)=2.50x and the cost c(x) = 0.5x + 40

Answers

Complete question is;

In addition to his hourly wage, albert earns bonus when the amount of money collected is greater than the cost to print the total number of programs he sold. His bonus is equal to 1/2 of the difference between the amount of money collected M(x) = 2.50x and the cost c(x) = 0.5x + 40

How much does Albert earn as bonus when he sells 309 baseball programs?

Answer:

Bonus earned for selling 309 baseball programs = $289

Step-by-step explanation:

We are given formula for amount collected as;M(x) = 2.50x

Now, if he sells 309 baseball programs, it means, amount collected is;

M(309) = 2.5(309) = $772.5

We are told cost formula is;

c(x) = 0.5x + 40

Thus;

c(309) = 0.5(309) + 40

c(309) = $194.5

We are told that his bonus is when the amount of money collected is greater than the cost to print the total number of programs he sold.

Thus;

Bonus = $772.5 - $194.5

Bonus = $578

We are told he earns ½ of the bonus.

Thus, he earns ; ½ × 578 = $289

Explain how to simplify fractions before multiplying. Reduce 7/8 x 4/14 and solve.

Answers

Answer:

4 /14  ÷  7 /8  =16 /49

Step-by-step explanation:

HOPE THIS HELPS

HAVE A GOOD DAY

STAY SAFE

BYEE.


Help pleaseeeee i cant do this

Answers

Answer:

1010

Step-by-step explanation:

When Sara was 5 she told $50 in a savings account. When she turned 6, her aunt gave her 100$ every year for her birthday. Is this proportional relationship?

Answers

Answer:

Step-by-step explanation:

The the age of Sarah be x and the amount she has be y:

When Sarah was 5 and her amount is $50

When x1 = 5, y1 = $50

Also when Sarah was 6, her amount is $100

When x2 = 6, y2 = $100

Find the slope which is also the constant of proportionality

x= ky

k = y2-y1/x2-x1

k = 100-50/6-5

k = 50/1

k = 50

Substitute the value of k in the formula:

x = 50y

This means that Sarah's age is directly proportional to the amount she have. Hence, it can be concluded that it is a direct relationship

Solve the equation shown:

2.5x + 18 = 3.5x - 4

X=

Answers

Answer:

X=22

Step-by-step explanation:

Step 1: Subtract 3.5x from both sides.

2.5x+18−3.5x=3.5x−4−3.5x

−x+18=−4

Step 2: Subtract 18 from both sides.

−x+18−18=−4−18

−x=−22

Step 3: Divide both sides by -1.

−x/-2 = -22/-1

x=22

The value of x in the given equation is 22

The given equation;

2.5x + 18 = 3.5x - 4

To find:

the value of x

The equation is simplified as follows;

2.5x + 18 = 3.5x - 4

collect similar terms together

2.5x - 3.5x = - 4 - 18

- x = - 22

x = 22

Thus, the value of x in the given equation is 22

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