Answer:
assume the formula is true for n is equal to k prove that result is true for n is equal to k + 1 hence result proves since the thorum is true for n is equal to 1 and n k + 1 is unit through a and
Answer:
ft³
Step-by-step explanation:
First, let's figure out how to get the <em>volume </em>of a sphere from its <em>surface area</em>. If r is the radius of our sphere, then
The formula for a sphere's surface area is
The formula for a sphere's volume is
So to get from area to volume, we have to <em>divide the area by 3 </em>and then <em>multiply it by r.</em> Mathematically:
Before we solve for V though, we need to find the radius of our sphere. Thankfully, we're given the surface area - ft² - so we can use the area formula to find that radius:
And now that we have our radius, we can put it into our volume formula to find
ft³
Add 4/10 to 9/10.
9/10 + 4/10 = 13/10
Simplify 13/10 into a mixed number by subtracting 10 from the numerator and turning it into a whole.
13/10 ⇒ 1 3/10
<h2>Answer:</h2>
<u>Jen is </u><u>1 3/10 meters</u><u> tall.</u>
Answer:
Cost of one roll of plain wrapping:
Cost of one roll of holiday wrapping paper:
Step-by-step explanation:
Let be "p" the cost in dollars of one roll of plain wrapping paper and "h" the cost in dollars of one roll of holiday wrapping paper.
Based on the information given, we can set up this system of equations:
In order to solve it, we can use the Substitution method. The steps are:
1. Solve for "p" from the first equation:
2. Substitute the above into the second equation and solve for "h":
3. Substitute the value of "h" into :