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
geniusboy [140]
3 years ago
11

A rectangular prism has a width of 51 ft and a volume of 144 ft3. Find the volume of a similar prism with a width of 17 ft. Roun

d to the nearest tenth, if necessary.
Mathematics
1 answer:
meriva3 years ago
7 0

Answer:

5.3\ ft^3

Step-by-step explanation:

Similar shapes with scale factor k have proportional volumes with coefficient k^3 i.e.

\dfrac{V_{large}}{V_{small}}=k^3,

where

k=\dfrac{\text{width of large prism}}{\text{width of small prism}}.

Since

\text{width of large prism}=51\ ft,\\ \\\text{width of small prism}=17\ ft,

then

k=\dfrac{51}{17}=3.

Hence,

\dfrac{144}{V_{small}}=3^3\Rightarrow V_{small}=\dfrac{144}{27}=\dfrac{16}{3}=5\dfrac{1}{3}\approx 5.3\ ft^3.

You might be interested in
X = 3y - 6 2x - 4y = 8 Solve the system of equations using substitution.
Brut [27]
Hello

x = 3y - 6
2x - 4y = 8
We need to start by solving 3y - 6 for x
Substitute 3y -6 for x in 2x
2x - 4y = 8
2(3y - 6) - 4y = 8
2y - 12 = 8
2y = 8 + 12
2y = 20
Divide both sides by 2
2y/2 = 20/2
y = 10

Now, substitute 10 for y in x= 3y
x = 3y - 6
x = 3(10) - 6
x = 30 - 6
x= 24

Answer : x = 24 and y=10

I hope this help!
7 0
3 years ago
Read 2 more answers
in the first third of the season the team played 18 games how many games will the team play during the whole season​
patriot [66]

Answer:

54

Step-by-step explanation:

all you have to do is times 18 by 3

5 0
2 years ago
Read 2 more answers
Write a two-column proof. Given: line BD bisects angle CBE. Prove: angle ABD approximately equal to angle FBD.
ale4655 [162]

Answer:

The proof is derived from the summarily following equations;

∠FBE + ∠EBD = ∠CBA + ∠CBD

∠FBE + ∠EBD = ∠FBD

∠CBA + ∠CBD = ∠ABD

Therefore;

∠ABD ≅ ∠FBD

Step-by-step explanation:

The two column proof is given as follows;

Statement {}                                       Reason          

\underset{BD}{\rightarrow} bisects ∠CBE {}                            Given

Therefore;

∠EBD ≅ ∠CBD  {}                              Definition of angle bisector

∠FBE ≅ ∠CBA {}                                Vertically opposite angles are congruent

Therefore, we have;

∠FBE + ∠EBD = ∠CBA + ∠CBD {}     Transitive property

∠FBE + ∠EBD = ∠FBD {}                    Angle addition postulate

∠CBA + ∠CBD = ∠ABD {}                   Angle addition postulate

Therefore;

∠ABD ≅ ∠FBD        {}                          Transitive property.

3 0
3 years ago
I’m not great with graphs, photo attached
maria [59]

Answer:

Option 2

Step-by-step explanation:

The quantities are not proportional because the line of the graph is both passing through the origin. It might have been proportional if it was passing through the origin.

8 0
3 years ago
Read 2 more answers
What is the order of operations for evaluating expressions
Phantasy [73]
PEMDAS!

Parenthesis
Exponents
Multiplication
Division
Adding
Subtracting
8 0
3 years ago
Read 2 more answers
Other questions:
  • HELP ASAP *will mark brainliest*<br> picture attached.
    5·1 answer
  • Trail mix is sold in 1-pound bags. Mary will buy some trail mix and re-package it so that each of the 15 members of her hiking c
    10·1 answer
  • “Determine if Parallel, Perpendicular, or neither , idk if I’m right but I do need help here
    11·1 answer
  • 12 divided by 9 tenths and hundredths
    13·1 answer
  • Solve the following quadratic equation by factoring or Quadratic Formula.
    10·2 answers
  • 110 percent of 90 is what number
    15·2 answers
  • If you are good at science pls answer these questions (only 4 questions)
    12·1 answer
  • if hadley sucked 2 toes in the morning 5 of her grandpas toes in the afternoon then 3 more in the night how many toes did she su
    10·1 answer
  • 2.98 + 5.3 = <br><br>Decimal Addition please help ​
    7·1 answer
  • Can I get some help with these questions?​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!