Answer:
Allie gains 4, she loses 4, she has 0 points.
Step-by-step explanation:
The arrow shows it. Round 1 goes 0 to 4. Round 2 goes 4 to 0.
Answer:
angle y
58 + 38 + y = 180 (angle sum property)
96 + y = 180
y = 180 - 96
y = 84
angle x
x = 29 (58/2)
(angle subtended by an arc at centre is double the arc at any point on remaining part of centre)
the values of x = 29 and y = 84
Since r = h/6 ; r' = h'/6; = 5/6
<span><span>V′</span>=<span><span>10(2)(5)(5) / </span><span>3(3)(6)</span></span>pi+ <span><span>5⋅<span>5^2 / </span></span><span>3⋅<span>3^2</span></span></span> pi</span>
<span><span>V′</span>=<span>250 / 27</span>pi+<span>125 / 27</span>pi</span>
<span><span>V′</span>=<span>375 / 27</span>pi;<span> at the given moment specified
</span></span>
Answer:68
Step-by-step explanation:
Rather than trying to guess and check, we can actually construct a counterexample to the statement.
So, what is an irrational number? The prefix "ir" means not, so we can say that an irrational number is something that's not a rational number, right? Since we know a rational number is a ratio between two integers, we can conclude an irrational number is a number that's not a ratio of two integers. So, an easy way to show that not all square roots are irrational would be to square a rational number then take the square root of it. Let's use three halves for our example:

So clearly 9/4 is a counterexample to the statement. We can also say something stronger: All squared rational numbers are not irrational number when rooted. How would we prove this? Well, let
be a rational number. That would mean,
, would be a/b squared. Taking the square root of it yields:

So our stronger statement is proven, and we know that the original claim is decisively false.