1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
poizon [28]
3 years ago
9

The area ratio of two similar soilds is 169:289 if the volume of the smaller solid is 689,858 cm what is the volume of the large

r solid
Mathematics
1 answer:
Rus_ich [418]3 years ago
3 0

Answer: 1,542,682\ cm^3

Step-by-step explanation:

Given

The ratio of two similar figures is 169:289

Suppose, their length ratio is x:y

\therefore \dfrac{x^2}{y^2}=\dfrac{169}{289}\\\\\Rightarrow \dfrac{x}{y}=\dfrac{13}{17}

Similarly, cube of the ratio is equal to the volume ratio

\Rightarrow \left(\dfrac{13}{17}\right)^3=\dfrac{689,858}{V}\\\\\Rightarrow V=689,858\times \dfrac{17^3}{13^3}\\\\\Rightarrow V=314\times 17^3\\\\\Rightarrow V=1,542,682\ cm^3

Thus, the volume of the larger solid is 1,542,682\ cm^3

You might be interested in
Claire is a manager at a toy packaging company. The company packs 80 boxes of toys every hour for the first 3 hours of the day.
Stells [14]

Answer:

See the attached figure.

Step-by-step explanation:

Modeling each part as a function.

Let x is hours of the working day

The company packs 80 boxes of toys every hour for the first 3 hours of the day. ⇒ y₁ = 80 x , x ∈ [0,3]

At the end of the 3 hours The company packs = 80 * 3 = 240

They stop packaging for the next 2 hours in order to carry out a training session. ⇒ y₂ = 240 , x ∈ [3,5]

Then, for the next 4 hours, they pack 20 boxes of toys every hour

y₃ = 20x + c , x ∈ [5,9]

To find c, y₂ = y₃ at x =5

∴ 240 = 20 * 5 + c

∴ c = 240 - 20 * 5 =240 - 100 = 140

∴ y₃ = 20x + 140 , x ∈ [5,9]

So,

y₁ = 80 x , x ∈ [0,3]

y₂ = 240 , x ∈ [3,5]

y₃ = 20x + 140 , x ∈ [5,9]

The graph models the piecewise function for the given situation is as shown in the attached figure.

8 0
3 years ago
Read 2 more answers
In 2010, Josh purchased a house for $110,000. In 2014, the house was valued at $105,000. What is the rate of change for the valu
aniked [119]
22 percent
 110000 divided by 22= 5000
110000 - 5000= 105000
6 0
3 years ago
A social psychologist predicted that ratings of an individual’s social desirability would be influenced by their physical attrac
marshall27 [118]

Answer:

It is stated in the query that the more attractive the individual, the higher their rank of desirability.

Step-by-step explanation:

This means that we should conclude that the alternative explanation of "higher degree of desire contributes to higher levels of social attractiveness"

In the event of a null hypothesis, we will believe that the degree of attractiveness has no impact on the score of cultural desirability.

(1) Null hypothesis:- The level of attraction does not have an impact on the rating of social desirability.

(2) Alternate hypothesis:- The level of attraction has a positive effect on the ranking of social desirability.

(3) The error of Type I is characterized as the rejection of the true null hypothesis. Therefore, in this case, the type I mistake would be that "the level of attraction has a positive effect on the rating of social desirability while the level of attraction does not have an impact on the rating of social desirability."

(4) The error of type II is characterized as the failure to reject the false null hypothesis. Thus, in this situation, the Type II error would be that "the level of attraction has no impact on the rating of social desirability while the real level of attraction has a positive effect on the rating of social desirability."

(5) We know that the likelihood of having a Form I error is equal to the degree of significance (in percent terms). The significance level, in this case, is 0.05, so the likelihood of making a form I error is 0.05 * 100=5 percent.

Therefore, there is a 5 percent risk of making a Type I mistake.

3 0
3 years ago
X • 1 + x/1 = <br><br> A. 1<br> B. x<br> C. 1 + x<br> D. 2x
Mkey [24]

Answer:

D. D is the correct answer

5 0
3 years ago
If anyone Answer this question with POLITICALLY CORRECT answer I'll give you 25+ Points
Tresset [83]

Answer:

\sqrt[4]{x^5}

Step-by-step explanation:

A fraction exponent converts into a radical. The denominator is the index of the radical (farthest left number) and the numerator is the exponent of the base inside (the farthest right number). The base of the fraction exponent is the base number in green. To write this expression, simply the exponents into one exponent and one base.

x^{\frac{3}{4}}x^{\frac{1}{2} } =x^{\frac{3}{4}}x^{\frac{2}{4} } =x^{\frac{3+2}{4}} =x^{\frac{5}{4}}

Now convert to the radical.

x^{\frac{5}{4}} = \sqrt[4]{x^5}

8 0
3 years ago
Other questions:
  • The volumes of two similar prisms are 891 cm3 and 33 cm3. The surface area of the larger prism is 153 cm2. What is the surface a
    10·1 answer
  • Austin buys 30 cups he places 4 balls in each cup how many cups does he need
    6·2 answers
  • 13) BRAINLIEST &amp;10+ POINTS!
    13·1 answer
  • If Mr. arenth wants to put new carpeting in the room shown, how many square feet should he order L= 14ft. W = 6c-8ft. L= 5+3c ft
    10·2 answers
  • AB and AC are tangent. Find AB
    10·1 answer
  • Evaluate the expression: -6 ( -3/12 ) ( -4 ) ( 5) divided by ( 10 ) <br><br> Please show your work
    14·1 answer
  • What is the slope of the function?<br> 1<br> 4<br> N-<br> 2<br> 4
    5·1 answer
  • Use the equation y = x - 2 and perform a reflection over the x-axis. Write an equation in 2
    11·1 answer
  • A box contains 6 plain pencils and 2 pens. A second box contains 3 color pencils and 5 crayons. One item from each box is chosen
    8·1 answer
  • Pls pls pls help meee plssss
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!