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
Llana [10]
3 years ago
13

9. A 3D printer uses one spool of filament to produce 20 congruent solids. Suppose you want to produce similar solids that are 1

0% longer in each dimension. How many such figures could one spool of filament produce?
Mathematics
1 answer:
Evgesh-ka [11]3 years ago
8 0

Answer:

15 figures

Step-by-step explanation:

To know with this, and knowing that each dimension is 10% longer, let's do a simple example assuming some random values.

Let's suppose that you have cylinder with a radius of 3 cm and height of 5 cm. The volume of this cylinder is:

V = π*(3)^2*5 = 45π cm^3

Now, if we raise the dimensions by 10%, the radius and height will be 3.3 and 5.5 respectively so, the new volume (V2) will be:

V2 = π*(3.3)^2*5.5 = 59.9π cm^3

So the ratio of both volumes is:

59.9π/45π = 1.331

This means that each new solid would have 1.331 times the volume of the original solid. Therefore, we can stablish a relation between the original figures and the new ones calling "x" the number of new figures so:

20 = 1.331x

solving for x:

x = 20/1.331

x = 15.03

You can round this to 15.

You might be interested in
Use the algebraic description (x, y) ➡️ (x - 5, y + 2) for the points N (2, 2), P (4, 2) and Q(1, -1) and write the coordinates
dezoksy [38]

9514 1404 393

Answer:

  N'(-3, 4), P'(-1, 4), Q'(-4, 1)

Step-by-step explanation:

The transformation is telling you to subtract 5 from each x-coordinate, and add 2 to each y-coordinate.

7 0
3 years ago
A man on a 135-ft vertical cliff looks down at an angle of 16°13' and sees his friend.
iren2701 [21]
A) Use the trigonometric function and ratio cos(x) = A/H. (Adjacent/Hypotenuse)
1. cos(x) = 135/H
2. H*cos(16°) = 135
3. H = 135/cos(16°)
***Make sure calculator is in degree mode***
4. H = 140.44 ft (rounded to two decimal places)
________

b) Use the function and ratio tan(x) = O/A (Opposite/Adjacent)
1. tan(x) = O/A
2. tan(16°) = O/135
3. 135*tan(16°) = O
4. O = 38.71 ft (two decimal places)

Good luck!
6 0
3 years ago
Which inequality does this graph represent?
garri49 [273]
The answer is <span>y ≤ –2x – 4... Hope this helps. :)</span>
5 0
3 years ago
According to international standards, a tennis ball should have an internal pressure of 14 psi. Wilson claims that the pressure
Lisa [10]

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below for the step by step explanation to the question above.

7 0
3 years ago
Ramon is a waiter. He waits on a table of 4 whose bill comes to $99.69. If Ramon receives a 20% tip, approximately how much will
vlabodo [156]
99.69/100=.9969
.9969*20=19.938 
Ramon would receive ~ $19.94
4 0
3 years ago
Other questions:
  • Find the area of the image below
    5·2 answers
  • What is 22.5 as a fraction in simplest form
    12·1 answer
  • What is 2x-5+82x+6 simplified
    7·1 answer
  • Which of the following does not require regrouping to subtract?
    6·1 answer
  • 0.06 0.6 6 60 600 6000
    12·1 answer
  • Y/-5=1/10<br> Enter your answer as a reduced fraction.
    8·1 answer
  • Roseanne makes 1 1/2 L of lemonade. She pours 1/4 of liter of lemonade into a thermos to take to the park. Her brother drinks 2/
    12·1 answer
  • Paloma used these steps to solve the equation 6x+5=3(2x+1). Which choice describes the meaning of her result, 2=0?
    11·2 answers
  • Answer me, giving out 15 points
    10·2 answers
  • Which proportion models the following problem:
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!