Height of the cone having volume as
and base area
is 6 cm.
Solution:
Given that volume of cone = 
Area of base = 
Need to determine height of the cone.
Formula for volume of the cone is as follows

Area of circular base of cone = 
Replacing
in equation (1), we get



In our case Volume of cone
and Area of base 
On substituting the values of volume and area in equation 2 we get

To determine the number of years to reach a certain number of population, we need an equation which would relate population and the number of years. For this problem, we use the given equation:
<span>P=1,000,000(1.035)^x
We substitute the population desired to be reached to the equation and evaluate the value of x.
</span>P=1,000,000(1.035)^x
1400000=1,000,000(1.035)^x
7/5 = 1.035^x
ln 7/5 = ln 1.035^x
x = ln 7/5 / ln 1.035
x = 9.78
Therefore, the number of years needed to reach a population of 1400000 with a starting population of 1000000 would be approximately 10 years.
Answer:
For the first one, you get x<7.
For the second one, you get x >_ 11
Step-by-step explanation:
For the first one: -2x - 2 > -16
Step 1. Add 2 to both sides.
-2x - 2 +2 > -16 + 2
-2x > -14
Step 2. Divide both sides by -2 and switch the sign
-2x/-2 > -14/-2
x < 7
For the second one: 2x - 1 >_ 21
Step 1: Add 1 to both sides
2x -1 +1 >_ 21 + 1
2x >_ 22
Step 2: Divide both sides by 2
2x/2 >_ 22/2
x >_ 11
hope this helps!
Answer:
true
Step-by-step explanation: