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
Aleksandr-060686 [28]
3 years ago
12

A small cube with side length 6y is placed inside a larger cube with side length 4/2. What is the difference in the

Mathematics
1 answer:
Leokris [45]3 years ago
3 0

Answer:

Step-by-step explanation:

Side length of a small cube = 6y

Side length of a larger cube = 4x²

This small cube is placed inside a larger cube. We need to find the difference in the  volume of the cubes.

Volume of small cube, V_1=(6y)^3=216y^3

Volume of lager cube,

V_2=(4x^2)^3\\\\=64x^6

Difference in the volume of the cubes,

\Delta V=V_2-V_1\\\\=64x^6-216y^3

We can simplify the above expression :

\because \ (a^3-b^3)=(a-b)(a^2+ab+b^2)\\\\(4x^2)^3-(6y)^3=(4x^2-6y)((4x^2)^2+4x^2\times 6y +(6y)^2)\\\\=(4x^2-6y)(16x^4+24x^2y+36y^2)

So, the difference in the volumes of the cubes is (4x^2-6y)(16x^4+24x^2y+36y^2).

You might be interested in
Which expression is equivalent to Negative 28 x y 35 y? 7 y (Negative 4 x y 5 y) 7 x (negative 4 x 5 y) 7 x (negative 4 y 5 y) 7
GREYUIT [131]

You can use the distributive property of multiplication over addition to find the equivalent expression to the given expression.

The expression which is equivalent to the given expression is given by

Option D: 7y(-4x + 5)

<h3>What are equivalent expressions?</h3>

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

<h3>What is distributive property of multiplication over addition?</h3>

Suppose a, b and c are three numbers. Then we have:

a(b + c) = a \times b + a \times c

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

<h3>Using the above property and the fact that 28 and 35 are multiples of 7 to get the equivalent expression</h3>

The given expression is -28xy + 35y

Since 28 = 7 times 4 and 35 = 7 times 5

Thus,

-28xy + 35y = -7 \times 4 \times x \times y + 7 \times 5 \times y = 7y(-4x + 5)

Thus,

The expression which is equivalent to the given expression is given by

Option D: 7y(-4x + 5)

Learn more about equivalent expressions here:
brainly.com/question/10628562

3 0
3 years ago
6. (07.02 MC)
Alexus [3.1K]

Answer:

x = 28.07°

Step-by-step explanation:

Recall: SOH CAH TOA

Reference angle given = x°

Opposite = 8

Hypotenuse = 17

Apply SOH:

Sin x = \frac{Opp}{Hyp}

Substitute

Sin x = \frac{8}{17}

x = sin^{-1}(\frac{8}{17})

x = 28.07° (nearest hundredth)

5 0
3 years ago
Please help<br><br> isolate x in <br> x+3y=1
Evgesh-ka [11]
Subtract 3y and move it to the right
X= 1 - 3Y
8 0
3 years ago
Read 2 more answers
Find the equation of the line.<br> Use exact numbers.
luda_lava [24]

Answer:

y = -2x + 5

Step-by-step explanation:

Looking at the line, every time it moves one unit to the right, it goes down two units. Therefore, the slope is -2. Since the y-intercept is 5, the equation of this line is y = -2x+5.

I hope this helped!

<u><em>Please mark as Brainliest!</em></u>

4 0
2 years ago
Pls help and answer quick!! <br><br> find x
siniylev [52]

hi

I Don't know

sorry

I will try to say next time

6 0
2 years ago
Other questions:
  • Which would feed more people 4/6 of a grape or 3/6 of a watermelon
    10·1 answer
  • Please help <br> show all work <br> thank you
    13·1 answer
  • How do 8 students share 5 square pieces of cake equally?
    5·2 answers
  • Which measure is less? Fifteen Quarts or Fourteen Liters
    5·1 answer
  • Please help i dont know what to do.
    14·2 answers
  • Can you please help me with this question
    8·2 answers
  • A vision insurance company selects a SRS of 300 clients who wear contact lenses. They randomly assign 200 clients to the experim
    5·2 answers
  • So one day, this young girl, who was only eleven years old at the
    14·1 answer
  • Can someone help ASAP
    14·1 answer
  • Need help on this!! 10 points!!!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!