Answer:
Step-by-step explanation:
Given :
- Diameter of a drum = 20 inches
- Deep ( height ) of the drum = 16 inches
- π = 3.14
To Find:
The volume of the drum.
Solution:
We all know that drum is cylindrical.So we'll use the formulae of the volume of cylinder,to find its volume.
Where,
- r = radius
- h = height (deep)
- π = 3.14
The value of radius ain't given,but the diameter is given.We can use the formulae of radius.
Substitute the value of diameter:
Hence,the radius is 10.
So we could now use the formulae of the volume of cylinder:
- π = 3.14
- r =10 in
- h = 16 in
<em>[Firstly bring the answer in terms of π then plug π = 3.14 and then simplify.]</em>
<u>Hence, we can conclude that:</u>
The volume of this drum is 5024 in^3.
Answer:
Third option. 
Step-by-step explanation:
For this exercise you need to remember one of the properties for exponents.
There is a property called the "Negative property of exponents" which states the following:
Where 
As you can observe, 
is the reciprocal of 
In this case you have the following expression given in the exercise:
Observe the expression. As you can notice, the base "n" has a negative exponent, which is -6.
Therefore, applying the Negative property of exponents explained at the beginning of this explanation, you can simplify the expression.
Then, the simplified form of 
is the one shown below:
<span>The product of a constant factor of six and a factor with the sum of two terms, because 6* the sum of y+3.
</span>
What do we know about those two lines?
They are perpendicular, meaning they have the same slope.
We know the slope of both is not zero (neither is vertical).
Therefore either
1) Both slopes are positive and therefore the product is positive
2) Both slopes are negative and therefore the product is positive (minus by a minus is a plus)
For the y intercepts, we know that the line P passes through the origin.
Therefore its Y intercept is zero.
[draw it if this is not obvious and ask where does it cross the y axis]
Therefore the Y intercept of line K and line P is zero.
[anything multiplied by a zero is a zero]
So we know that the product of slopes is positive, and we know that the product of Y intercepts is zero.
So the product of slopes must be greater.
Answer A
