Answer:
<h2>
28.9%</h2>
Step-by-step explanation:
= 0.2894
multiply by 100 to turn into percentage
Answer:
Find the volume of the rectangular prism and
divide by the volume of the cube.
Volume of cube = side measure ^3
Cube = (1/8)3 = 1/512
Volume of prism = Ixwxh
Prism (1/4)(1/2)(3/8) =3/64
3/64/1/512
3/64 x 512/1
3x 512/64
1536/64
24
It is true if two vectors point in opposite directions. This means their cross product must be zero.
<h3>What is cross product?</h3>
Cross product is a vector product of two vectors in the three dimensional vector space.
In the case when the two vectors point in opposite directions so there cross product should be zero.
Impact on two points:
In the case when the two vectors point in opposite directions so there cross product should be zero.
Like
A*B = [A][B] sin
Here theta is be the angle that lies between them
So,
A*B = [A][B] sin 180
So, A*B = 0
hence, the given statement is true.
learn more about vectors here:
brainly.com/question/21797532
#SPJ4
Answer:
- (x-y^2)(x^2 +xy^2 +y^4)
- (a^2 +b)(a^4 -a^2b +b^2)
- (m^3-n)(m^6 +m^3n +n^2)
- (p+k^3)(p^2 -pk^3 +k^6)
- (a^2+b^3)(a^4 -a^2b^3 +b^6)
- (x-y)(x^2 +xy +y^2)(x^6 +x^3y^3 +y^6)
Step-by-step explanation:
In every case, the factorization makes use of the standard form for factoring the sum or difference of cubes:
- a^3 +b^3 = (a +b)(a^2 -ab +b^2)
- a^3 -b^3 = (a -b)(a^2 +ab +b^2)
1. a=x, b=y^2. Use the formula for the difference.
2. a^2 ⇒ a, b = b. Use the formula for the sum.
3. a=m^3, b=n. Use the formula for the difference.
4. a=p b=k^3. Use the formula for the sum.
5. a^2 ⇒ a, b^3 ⇒ b. Use the formula for the sum.
6. a=x^3, b=y^3. Use the formula for the difference. When you do, the first factor is the difference x^3 -y^3, which can be factored using the difference formula again with a=x, b=y.
Distributive property lets you distribute 3(3+x)
so this is the property, note: xy=x times y=x(y)
a(b+c)=(ab)+(ac)