We know that
scale factor=1/4
so
volume of the smaller pyramid=[scale factor]³*volume original pyramid
volume original pyramid=192 unit³
volume of the smaller pyramid=[1/4]³*192---> (1/64)*192----> 3 units ³
the answer is
3 units³
Answer:
3x^3 + 12x^2 +11x +2
Step-by-step explanation:
this is also a cube root expanded If that helps
Do 35 times 19 and that is the whole square inches or so 35 squared times 19 squared
Answer:
The graph in the attached figure N 2
Step-by-step explanation:
The complete question in the attached figure N 1
we have the ordered pairs
(-4,9),(-1,3),(0,1),(2,-3)
Using a graphing tool
Plot the given ordered pairs in the coordinate plane
Remember that
In a ordered pair (x,y), the first coordinate is the location of the point in the x-axis and the second coordinate is the location of the point in the y-axis
see the attached figure
The graph represent a line
<em>Find the equation of the line</em>
<em>Find the slope</em>
take two points

The equation of the line in slope intercept form is equal to

we have

substitute

Answer:
V = 128π/3 vu
Step-by-step explanation:
we have that: f(x)₁ = √(4 - x²); f(x)₂ = -√(4 - x²)
knowing that the volume of a solid is V=πR²h, where R² (f(x)₁-f(x)₂) and h=dx, then
dV=π(√(4 - x²)+√(4 - x²))²dx; =π(2√(4 - x²))²dx ⇒
dV= 4π(4-x²)dx , Integrating in both sides
∫dv=4π∫(4-x²)dx , we take ∫(4-x²)dx and we solve
4∫dx-∫x²dx = 4x-(x³/3) evaluated -2≤x≤2 or too 2 (0≤x≤2) , also
∫dv=8π∫(4-x²)dx evaluated 0≤x≤2
V=8π(4x-(x³/3)) = 8π(4.2-(2³/3)) = 8π(8-(8/3)) =(8π/3)(24-8) ⇒
V = 128π/3 vu