ANSWER
The slant height is 40cm.
EXPLANATION
The lateral area of a cone is given by:
where r=10cm is the radius of the circle and l is the slant height.
It was also given that, the lateral area is 400π cm²
We substitute the values to get,
We now divide both sides by 10π.
This implies that,
Hence the slant height is 40cm.
Answer:
<em>Answer: False</em>
Step-by-step explanation:
<em>Relations vs Functions</em>
For a given relation between two variables x and y to be a function, it must meet the following condition: every value of x must be related to one and only one value of y.
When the graph of a relation is given, we can easily tell the difference by using the vertical line test as follows:
Imagine a vertical line moving through the x-axis. If any line touches the graph of the relation at more than one point, then the relation is not a function.
If we place vertical lines through the x-axis, they would touch the function twice at some values of x.
Thus, the graph is not a function
Answer: False
Answer:
width
Step-by-step explanation:
7/10= 7 divided by 10= 0.7
and 0.67 id greater than 0.7
To solve this problem you must apply the proccedure shown below:
1. You must use the formula for calculate the surface area and the volume of the tank:
2. Solve for 
in the second equation and substitute it into the first one.Then, you have:
3. Now, derivate:
4. When you solve for 
, you obtain:
![2x^{3}-256=0\\ x=\sqrt[3]{\frac{256}{2}} \\ x=5.03](https://tex.z-dn.net/?f=%202x%5E%7B3%7D-256%3D0%5C%5C%20x%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B256%7D%7B2%7D%7D%20%20%5C%5C%20x%3D5.03%20)
5. Now, you must calculate :
Therefore, the dimensions are:
The sides of the base of the tank: 
The height of the tank: 
Answer: x=11.075
Step-by-step explanation:
