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
Vera_Pavlovna [14]
3 years ago
11

Two prisms are similar with a scale factor of 1:4. Find the volume of the smaller prism given that the volume of the larger is 2

400ft3.
Mathematics
2 answers:
coldgirl [10]3 years ago
8 0

Answer: 37.5

Step-by-step explanation:

We are asked to find the volume of the smaller prism, and we know that the larger prism has a volume of 2400 cubic feet. We also know that the scale factor of the two prisms is 1:4. You may be tempted to set 1/4 equal to x/2400, but that is not what you should do. Remember that the volume ratio is a^{3} / b^{3}, if the similarity ratio is a/b. Now, with this in mind, we know that the cube root of 2400 is 13.388659. Now, we can set 1/4 equal to x/13.388659. Solve for x by cross multiplying. 13.388659=4x. Divide both sides by 4. x=3.34716475. Then, we need to find the volume of the smaller prism, so we find the third power of x, or 3.34716475, which is approximately 37.5, which is your solution.

anzhelika [568]3 years ago
7 0

Answer:

600 ft³

Step-by-step explanation:

Given the scale factor 1:4, we know that the smaller prism will be 4 times smaller than the larger prism.

We can calculate the volume of the smaller prism by dividing 2,400 by 4.

2,400/4 = 600

You might be interested in
How do you factor this in the form (x+b)(x+c)
faust18 [17]
So you have your polynomial. To factor this out, you need to find the factors of -45 that will add up to 3. These two factors would be -5 and 8. So, you have factored your polynomial! (x-5)(x+8). If you are still unsure, simply use the FOIL method to check and see if you get the same polynomial back. Hope this helps!
7 0
3 years ago
Will give BRAINLIEST!!!!helpppp!!!!!! AND DONT U DARE SAY TO CLICK ON THIS LINK
swat32

Answer:

Fifth-grade detective Mickey Rangel feels like a stuck pig at a barbecue when Mrs. Abrego calls him down to her office; what could he be on the hot seat for? When Mrs. A starts talking about the rash of graffiti that has recently tarnished the school, Mickey frantically rushes to protest his innocence. Mrs. A talks him down; she knows he didn’t do it, but maybe he can figure out who did. Mickey dubs this miscreant the Mischievous Marker and finds a major clue in the latest graffiti message: “Our Principle’s no ‘pal’ of nobodies!” Top-notch speller Mickey notices the problems right away. At lunch that day, when Mickey sees his lifelong archnemesis, Bucho, giving Mickey’s twin brother, Ricky, a hard time, he imagines how sweet it would be if he could prove that the troublemaker Bucho was the Magic Marker Mischief Maker. And if not him, then who? Mickey will need to question more persons of interest and nail down the timeline to crack the case. The brief, fast-moving mystery appears first in English, then Spanish, in Villarroel’s translation. Saldaña's prose is peppy, and his mystery, while quickly solved, hammers home a solid grammar lesson as a bonus.

Though he’s no teacher’s pet, Mickey’s smarts make him a welcome protagonist.

Step-by-step explanation:

8 0
3 years ago
What is the unit rate of 88 students for 4 classes
Nat2105 [25]
So, We Have A Rate That We Need To Simplify. We Have:
88 students for every 4 classes
So, We Need To Simplify This Rate. In Order To Do This, We Need To Change Is To A Fraction. It Is:
88 students
---------------
  4 classes

Now, We Have To Simplify. We Can Do That By Remembering How To Simplify Fractions.

So,
88 ÷ 2 =  44   ÷ 2  =   22 students
---            ---               ---------------
 4  ÷ 2 =   2    ÷ 2  =           1

So, The Unit Rate For 88 Students For 4 Classes Is:
22 Students For One Class

5 0
3 years ago
Write the equation in slope intercept form of a line that goes through (4,9) and has a slope of 1/2
Vedmedyk [2.9K]

Answer:

y = \frac{1}{2} x + 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

here m = \frac{1}{2}, hence

y = \frac{1}{2} x + c ← is the partial equation

to find c substitute (4, 9) into the partial equation

9 = 2 + c ⇒ c = 9 - 2 = 7

y = \frac{1}{2} x + 7 ← equation in slope-intercept form


4 0
3 years ago
zuri bought 8 cupcakes,16chocolate cookies and five peanut butter cookies.How many more cookies will need to buy if he wants 2 d
shtirl [24]

She will need to buy 3 more cookies because 2 dozens is 24. And 16 cookies plus 5 is 21 cookies plus 3 is a dozen cookies which is 24

24=16 chocolate cookies+5 peanut cookies+3 random cookies


6 0
3 years ago
Other questions:
  • If 2 pounds of strawberries cost $4.50, how much would 3 pounds cost?
    11·2 answers
  • Telling a child that he won't amount to anything in life is a form of
    11·1 answer
  • How can a decimal be converted to a percentage?
    5·2 answers
  • No association means the y-values increase as the x-values decrease. *<br><br> A.True<br> B.False
    9·1 answer
  • WILL GIVE BRAINLIEST!!!<br><br> Solve the equation<br><br> cos(x)sin(7x)=cos(3x)sin(5x)
    7·2 answers
  • I need help with this because i dont know this please send help....
    7·2 answers
  • How are (5.3,1) and (-5.3,1) related?
    13·1 answer
  • Which of the tables represents a function? 50 points i will give braileist
    5·1 answer
  • Whats the Y coordinate Of the solution to the system of equations 4x-4=-2y 2x-y=8
    13·1 answer
  • 5^2x-4×5x^+1-125=0. Pls how do I solve it very quickly???.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!