V=(1/3)hπr^2 where h=height and r=radius
given
radius=3
height=2a
r=3
h=2a
v=(1/3)hπr^2
v=(1/3)(2a)π(3)^2
v=(1/3)2aπ9
v=6aπ
so the expression would be some variaant of v=6aπ
For this case, the first thing you should do is use the distance between points formula.
We have then:
d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)
Substituting we have:
d = root ((9 - (- 9)) ^ 2 + (-2-7) ^ 2)
d = 20.1246118
Rounding off we have:
d = 20 units
Answer:
The distance, to the nearest unit, between your house and the subway stop is:
B. 20
Answer:
or 
Step-by-step explanation:
The given absolute value inequality is 
Divide both sides of the inequality by -2 and reverse the inequality sign:
By the definition of the absolute value function;
Either or 
Divide through the rightmost inequality by -1 and reverse the sign.
This implies that:
or
Alright. So We Need To Take A Look At The Answer Choices. The Sum Of Two Rational Numbers Is Always Rational. This Is True. You Cant Add Bad With Bad And Get Good. So You Will Always Get Rational Numbers, So It Is Not A.
Lets Look At B. <span>The product of a nonzero rational number and an irrational number is always irrational. This is True. Pi Times Any Number Is Irrational. If You Have A Repeating Decimal,You Can't Change It To A Whole Number.
Lets Look At C. </span><span>The product of two rational numbers is always rational. This Is True. Any Rational Numbers Multiplied Will Always Be Rational. 3.5 * 4 = 14. this Is Still Rational, So Not C.
Lets Look At D. </span><span>The sum of two irrational numbers is always rational.This Is Not True. If You Do: Pi + Pi, This Will Not Be Rational. So, It Is D.
So, Having Looked At All The Choices, The Answer Is D.
</span>
To solve this problem you must apply the proccedure shown below:
1. When you plot the given points, you obtain a trapezoid, therefore, you must apply the formula for calculate the area of a trapezoid, which is:
Where 
is the larger base, 
is the smaller base and 
is the height.
2. The dimensions are:
3. Substitute values:
The answer is: 
