Please help me with this very hard question. Determine if each pair of expressions is equivalent. Mark all equivalent expression
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Determine if each pair of expressions is equivalent. Mark all equivalent expressions.
4\left(3m+9-7\right)4(3m+9−7) and 6\left(2m+5-3\right)6(2m+5−3)
12z-3\left(z+5\right)12z−3(z+5) and 19+11z+2\left(-2-z\right)19+11z+2(−2−z)
5x\left(8-4y\right)5x(8−4y) and 2\left(12x-10xy\right)+16x2(12x−10xy)+16x
6-7\left(4k+2\right)6−7(4k+2) and -2\left(k+1\right)−2(k+1)
Determine if each pair of expressions is equivalent. Mark all equivalent expressions.
4\left(3m+9-7\right)4(3m+9−7) and 6\left(2m+5-3\right)6(2m+5−3)
12z-3\left(z+5\right)12z−3(z+5) and 19+11z+2\left(-2-z\right)19+11z+2(−2−z)
5x\left(8-4y\right)5x(8−4y) and 2\left(12x-10xy\right)+16x2(12x−10xy)+16x
6-7\left(4k+2\right)6−7(4k+2) and -2\left(k+1\right)−2(k+1)
1 answer:
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<span> By definition, the volume of a cone is given by:
</span>
<span> Where,
r: radius of the circular base of the cone.
h: cone height
The cone radius is given by:
</span>
<span> Where,
d: diameter of the circular base.
Substituting values we have:
</span>
<span>
Then, the volume will be:
</span>
<span>
Answer:
The volume of the cone is given by:
</span>
<span>
</span>
</span>
<span> Where,
r: radius of the circular base of the cone.
h: cone height
The cone radius is given by:
</span>
<span> Where,
d: diameter of the circular base.
Substituting values we have:
</span>
Then, the volume will be:
</span>
Answer:
The volume of the cone is given by:
</span>
</span>