Write and solve a math problem in which you need to find how many equal groups
1 answer:
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Volume:
A composite figure is formed by two or more basic figures or shapes. In this problem, we have a composite figure formed by a cylinder and a hemisphere as shown in the figure below, so the volume of this shape as a whole is the sum of the volume of the cylinder and the hemisphere:
So:
From the figure the radius of the hemisphere is the same radius of the cylinder and equals:
And the height of the cylinder is:
So:
The volume of a hemisphere is half the volume of a sphere, hence:
Finally, the volume of the composite figure is:
Volume of cone: brainly.com/question/4383003
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Answer:
Step-by-step explanation:
So we have the equation:
First, separate the second term:
Let u equal 5ˣ. So:
Combine like terms:
Divide both sides by 6:
Substitute back u:
Take the base 5 logarithm of both sides:
The left cancels:
Evaluate the right:
So, our answer is 2.
And we're done!