Given that, a sphere has a surface area of about 999 square millimeters.
Formula to find the surface area of sphere is,
S= 4πr² Where r = radius of the sphere and S= surface area.
Given S= 999 square millimeters.
So, we can write:
4πr² = 999
4 * 3.14 * r² = 999 Since, π = 3.14
12.56 *r² = 999
Divide each sides by 12.56.
r² = 79.53821656
r = √79.53821656 Taking square root to each sides of equation.
r = 8.918420071
So, r = 8.918 Rounded to nearest thousandth.
So, radius of the sphere is 8.918 millimeters.
Hope this helps you!
By definition, we have
So, we have to solve two different equations, depending of the possible range for the variable. We have to remember about these ranges when we decide to accept or discard the solutions:
Suppose that 
In this case, the absolute value doesn't do anything: the equation is
We are supposing 
, so we can accept this solution.
Now, suppose that 
. Now the sign of the expression is flipped by the absolute value, and the equation becomes
Again, the solution is coherent with the assumption, so we can accept this value as well.
Sum of a finite geometric series=a(r^(n) -1)/(r -1)
or
sum of a finite geometric series=a(1 - r^(n))/(1 - r)
the Smiths would spend a total of $2928.2 on clothing in 4 years
Answer:
<u><em>Similarity:</em></u>
In Both cosine and sine graphs, a positive and negative number vertically flips the graph and tells whether the graph starts at maximum (positive) or minimum (negative).
<u><em>Difference:</em></u>
The difference between the sine and the cosine graph is the point where they start.
The graph of positive cosine starts at the maximum while that of the negative cosine starts at the minimum.
The graph of a positive sine starts at the middle, goes up and then down while that of the negative sine starts at the middle goes down and then up.
<span>Subtracting 2x from both sides of the equation would be a reasonable first step in solving this equation as it properly combines like terms to the left side of the equation. It quickly shows that the next step would be adding 1 to both sides of the equation, which would have us arrive at the answer of x = 5.</span>
