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
You have a 36 foot fence that have a 4 equal side you painted 1/4 what fraction have you completed
k0ka [10]

we have completed 9/36=1/4 of the fence

5 0
3 years ago
The expression below shows the population of foxes in a forest after 12x years.
Mazyrski [523]
We know that:
(x^{m}) ^{n}=  x^{mn}
f(x)= 50*(1.05) ^{12x} = 50 * ( 1.05^{12})^{x}  = \\ =50*(1.7959) ^{x}
Answer: A ) f ( x ) = 50(1.05)^x

6 0
3 years ago
Read 2 more answers
Bilal's favorite colors are red and green.
Arte-miy333 [17]

Answer:

P(A∪B) = 1/3

Step-by-step explanation:

Red  Garments = 1 red shirt + 1 red hat  + 1 red pairs of pants

Total Red Garments = 3

Green Garments =  1 green shirt + 1 green scarf + 1 green pairs of pants

Total Green Garments = 3

The total number of garments =  Total Red Garments + Total Green Garments:

3 + 3 = 6

Let A be the event that he selects a green garment

P(A) = Number of required outcomes/Total number of possible outcomes

P(A) =  3/6

Let B be the  event that he chooses a scarf

P(B) = 1/6

The objective here is to determine P(A or B) = P(A∪B)

Using the  probability set notation theory:

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∩B) = Probability that a green pair of pant is chosen = P(A) - P(B)

= 3/6-1/6

= 2/6

P(A∪B) = 1/2 + 1/6 - 2/6

P(A∪B) = 2/6

P(A∪B) = 1/3

8 0
3 years ago
Read 2 more answers
Make a table of 4 additional speeds equivalent to 50 miles per hour.
Nostrana [21]

Answer:

80.4672kmh

22.352m/s

43.4488 knots

73.3333 fps

Step-by-step explanation:

8 0
3 years ago
Hey bro's help me!!​
Vikentia [17]

Answer:

3x+10

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • shannon walked 4 and 7/8 miles and ran 3 1/2 miles during the week. how much further did she walk than run
    15·1 answer
  • Which sequence of transformations performed on shape I confirms the congruence of shape II and shape I?
    9·2 answers
  • A circle has a radius of three. An arc in the circle has essential angle of 20°. What is the length of the arc
    13·1 answer
  • Which point is the best approximation of the relative maximum of the polynomial function graphed below?
    7·2 answers
  • A six sided number cube is tossed one time and shows the number 4. What is the experimental probability of the number cube showi
    15·1 answer
  • What is the discount on a leather jacket that costs $298 discounted at 15%
    8·2 answers
  • Does anyone know this
    8·2 answers
  • 3) 14 pennies to 35 pennies​
    12·1 answer
  • Kiki recorded a video of her parakeet repeating phrases that she said. The video is 234 minutes long. Kiki watched the video 212
    8·1 answer
  • Can you help me plz and quick!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!