Answer: a) The figure can be reasonably divided into two geometries:
• a rectangular prism
• a hemisphere.
b) The volume of the rectangular prism is given by
V = lwh
V = (10 cm)(5 cm)(4 cm) = 200 cm³
The volume of the hemisphere is given by
V = (2π/3)r³
V = (2π/3)(3 cm)³ = 18π cm³
c) The total volume of the figure is
total volume = (prism volume) + (hemisphere volume)
V = 200 cm³ + 18π cm³
V ≈ 256.549 cm³
Step-by-step explanation:
Answer:
The length of GH is half the length of KL.
Full question...
To prove part of the triangle midsegment theorem using the diagram, which statement must be shown?
The length of JK equals the length of JL.
The length of GH is half the length of KL.
The slope of JK equals the slope of JL.
The slope of GH is half the slope of KL.
So once again the answer is the second one: The length of GH is half the length of KL.
hello since we are simplifying 15^-3*15^6 all we have to do is add the exponents when we add them we end up with an answer of 15^3
Answer:
x = 24
Step-by-step explanation:
using the rule of exponents
×
= 
consider left side
× 
=
× 
= 
then
= 
since the bases on both sides are equal, both 5 then equate exponents
= 16 ( multiply both sides by 6 )
4x = 96 ( divide both sides by 4 )
x = 24