Answer:
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Answer:
-8k - 15
Step-by-step explanation:
5(-2k-3)+2k
At first, we will break the parenthesis. To break that, we will multiply the value inside the parenthesis by the adjacent number, that is 5. Again, we have to consider the Algebraic operation (Golden rule) -
[(-) x (-) = (+); (+) x (-) = (-)]
Therefore, since there is a minus sign in each of the value inside the parenthesis, the result will be minus as 5 is a positive integer.
or, -5*(2k) - (5*3) + 2k
or, -10k - 15 + 2k
or, -8k - 15 (after the deduction)
The answer is = -8k - 15
The volume of the solid objects are 612π in³ and 1566πcm³
<h3>Volume of solid object</h3>
The given objects are composite figures consisting of two shapes.
The volume of the blue figure is expressed as;
Volume = Volume of cylinder + volume of hemisphere
Volume = πr²h + 2/3πr³
Volume = πr²(h + 2/3r)
Volume = π(6)²(13+2/3(6))
Volume = 36π(13 + 4)
Volume = 612π in³
For the other object
Volume = Volume of cylinder + volume of cone
Volume = πr²h + 1/3πr²h
Volume = π(9)²(15) + 1/3π(9)²(13)
Volume= 81π (15+13/3)
Volume= 1566πcm³
Hence the volume of the solid objects are 612π in³ and 1566πcm³
Learn more on volume of composite figures here: brainly.com/question/1205683
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Answer:
The value of 
Step-by-step explanation:
Let's recall the the formula for volume of a pyramid.
Volume of a Pyramid 
....equation 
where 
and 
Now we have been given the values of 
and 
and have to find the value of 
Plugging the values of and in equation
Now we can also check our previous results.
So, our final answer is 
