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
qaws [65]
3 years ago
15

The volumes of two similar figures are given. The surface area of the larger figure is given. Find the surface area of the small

er figure.
V=2625 m2
V=4536 m2
S.A.=2124 m2
Mathematics
1 answer:
frez [133]3 years ago
4 0

Answer:

surface area of the smaller figure ≈ 1474.64 m²

Step-by-step explanation:

The figures are similar base on the question . The surface area and the volume of the larger figure is given while only the figure of the smaller figure is given.

To find the surface area of the smaller figure we simply use the ratios. That is the scale factors.

Therefore, they are similar figure the scale factor  can be represented as a:b.

The scale factor for volume is cubed.

volume of larger figure/volume of the small figure = a³/b³

4536/2625 = a³/b³

a/b = 16.5535451/13.7946209

Note that for two similar solid with scale factor a:b the surface area ratio is a²: b² (the scale factor is square)

16.55²/13.79² = 2124/x

273.9025/190.1641 = 2124/x

cross multiply

273.9025x = 403908.54840

x = 403908.54840/273.9025

x = 1474.6435261

x ≈ 1474.64 m²

You might be interested in
Of all the students who participate in the school music programs in the district, 394 students play a wind instrument. If 2/5 of
daser333 [38]
2/5 of the students is equivalent to 394 students. The total number of students involved is thus 394*5/2.
7 0
3 years ago
Read 2 more answers
James is running on a trail that is 5/4 of a mile long. So far he has run 2/3 of the trail. How many miles has he run so far?
aalyn [17]
Step 1) You would need to convert your 2 fractions into equivalent numbers. In this case, the closet gcf (greatest common factor) is 12. So, 5/4 would convert to 15/12 and  2/3 converts to 8/12.

Step 2) You know have your decimals that are equivalent. All you have left now is to subtract. Take 15/12 and subtract 8/12 from it. You would now get 7/12 of a mile that is still needed to run. 

Step 3) Usually, you would simplify your new fraction. In this case, our fraction doesn't simplify. It will stay 7/12 of a mile. For example, If our number had ended up being 4/12, then we would simplify it to 1/3 of a mile. Because, 4 divided by 4 is 1 and 12 divided by 4 is 3. You can't simplify your answer anymore.

Hope this helped!
3 0
3 years ago
Read 2 more answers
PLEASE HELP MEEEE ill mark brilliance!!!!
SIZIF [17.4K]

Answer:

0.50

Step-by-step explanation:

The individuals that do and do not wear glasses are evenly split, it is 2/4, therefore the probability that a teenager wears glasses AND watched TV is 0.50.

7 0
3 years ago
What value of b will cause the system to have an infinite
kvasek [131]

Hi there!

The way that an infinite number of solutions is achieved is when the two equations, when solved together, get an answer which is just a number equal to the same number. To do this, first substitute 6x-b in for y in the second equation.

-3x+\frac{1}{2}(6x-b)=-3

-3x+3x-\frac{1}{2}b=-3

-\frac{1}{2}b=-3

Now, we see that b needs to be equal to -3 when multiplied by -1/2. When both sides are divided by -1/2, b becomes equal to 6. Thus, b must be 6.

Check work:

6x-6=y

-3x+\frac{1}{2}(6x-6)=-3

-3x+3x-3=-3

-3=-3

Thus, as they are equal to each other, the answer is correct. b = 6.

Hope this helps!

8 0
3 years ago
Ryan has 25 tiles and 12% of them are green. how many tiles are green
Lady_Fox [76]

Answer:

208.33. this is it your welcome

6 0
3 years ago
Other questions:
  • A climber is standing at the top of a mountain, approximately 2.5 mi above sea level. The radius of the Earth is 3959 mi. What i
    7·2 answers
  • What is the Fraction of the items are round
    5·2 answers
  • Determine whether the given point is a solution to the system of equations.
    9·1 answer
  • Please answer this correctly without making mistakes
    8·1 answer
  • Is (-3, 2) a solution of 72 +9y > -3?
    15·1 answer
  • Help .................................................
    7·2 answers
  • What is the asymptote of the graph of f(x)= 4^x +8?
    9·1 answer
  • HELP THIS IS A EMERGENCY please tell me all of it (it’s for my cousin in 5th grade)
    13·2 answers
  • Plzzzzzzzzzzzzzz help me 30 points
    11·2 answers
  • 1/2a - 4 = 6 try and answer this question
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!