Volume of cube is side power 3
therfore cubic root volume = side length
volume = 512 --> cubic root 512 =8 cm
side length is 8 cm if it was doubled
side length= 16 cm
therefore side length after doubling =
side power 3
(16) to the power 3 = 4096 cm3
Answer:
v=2
Step-by-step explanation:
8/v+1/2=7/v
1/2=8/v-7/v
1/2=1/v
(1/2)v=1
v=1/1/2
v=1*2/1
v=2
Its is true that C ⊆ D means Every element of C is present in D
According to he question,
Let C = {n ∈ Z | n = 6r – 5 for some integer r}
D = {m ∈ Z | m = 3s + 1 for some integer s}
We have to prove : C ⊆ D
Proof : Let n ∈ C
Then there exists an integer r such that:
n = 6r - 5
Since -5 = -6 + 1
=> n = 6r - 6 + 1
Using distributive property,
=> n = 3(2r - 2) +1
Since , 2 and r are the integers , their product 2r is also an integer and the difference 2r - 2 is also an integer then
Let s = 2r - 2
Then, m = 3r + 1 with r some integer and thus m ∈ D
Since , every element of C is also an element of D
Hence , C ⊆ D proved !
Similarly, you have to prove D ⊆ C
To know more about integers here
brainly.com/question/15276410
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Answer:
11
Step-by-step explanation:
4x - y = 13 >>>> y = 4x - 13
2x + y = 17 >>>> y = -2x + 17
so
4x - 13 = -2x + 17
4x + 2x = 17 + 13
6x = 30
x = 5
y = 4x - 13 = 4(5) - 13 = 7
then
3y - 2x = 3(7) - 2(5) = 21 - 10 = 11
For side length s the area of the triangle is
.. A = (√3)/4*s^2
The radius of the circle will be
.. r = s/(2√3)
so the area of the circle is
.. A = π*r^2 = π*s^2/12
The fraction of the triangle that is not in the circle is
.. 1 - (π/12)/((√3)/4)
.. = 1 -π/(3√3)
.. ≈ 39.54%
