<ol>
<li><p>tx+5 = (t+1)x
tx+5 = tx+x
5=x
B</p></li>
<li><p>the area of a circle = pi<em>r^2, where r is the radius.
the radius is half the diameter, so r=d/2
substitute that into the first equation and get:
A=pi</em>(d/2)^2 = pi*d^2/4
E</p></li>
</ol>
<p>Got ya, thanks</p>
<p>
</a></p>
<p>I know this is not Math, but please help, I get B
</a></p>
<p>E. Here's how I got it:</p>
<p>Answer A: "instigate" makes no sense here.
Answer B: "renounce" makes some sense (although someone cannot exactly renounce someone else's theory, only their own), but "approval" makes no sense--you don't want to defuse approval for your own theory, because you want people to approve of it.
Answer C: "displaced" makes sense, but "attribution" doesn't, since the theory is already attributed to her.
Answer D: "alteration" doesn't make sense here.
Answer E: "repudiated" makes sense. "Acrimony" makes sense, since dedicating her work to the original researcher would make people less bitter about her new theory.</p>
<p>Here's another way to do it:
When you read the sentence, the first blank seems like it would be a synonym of "disprove" and the second blank seems like it would be some negative word (you want to defuse negative things, not positive things. The choices that are synonyms of disprove are B, C, and E. The choices that have a negative second word are A and E. The one that fits both is E.</p>
<p>Thanks, very details. I am not very familiar with how to use "acrimony", normally I have heard people said "hating" or "hostile" with a theory, but...</p>
<p>Anyhow</p>
<p>Back with Math, it is more comfortable</p>
<p>
</a></p>
<p>People might hate or be hostile towards the fact that she is disproving the theory. Many people dislike change. She is trying to make sure they don't hate her (defuse acrimony) by dedicating it to the original researcher.</p>
<ol>
<li> As in all triangles, the angles add up to 180.
x+y+z=180
y and z are going to be greatest when x is lowest, so since x>90, let's say x=90.1.
so y+z=180-90.1=89.9
y=z+1, so z=y-1, and by substitution,
y+(y-1)=89.9
2y=90.9
y=45.45
but y has to be an integer, so it can be either 45 or 46. if y=46, then z=45, and x=89, 89<90, so y=!46, thus y=45.</li>
</ol>
<p>Another way:
x>90, so y+z<90
z=y-1, so 2y-1<90
y<45.5, so greatest integer value is 45.</p>
<p>Second way is obviously easier, but I didn't think of it till after I typed the first one ;-P.</p>
<p>It is OK, it is a great pleasure sometimes to think of other ways to do a problem that I already got right.
Oh, by the way, have you ever thought about this: people do Math because they seek after good grade to college, so some of them fail and cause suffer. If one do Math but not care (or pretend to) about the grade, just because he loves solving problem. Is there any differences?</p>
<p>Oh, I don't understand how do you get 2y-1<90</p>
<p>BTW, are you a senior or junior in Iowa University? You are fully helpful really.</p>
<p>Oh, haha, Can you help me with question 16 as well.</p>
<p>
</a></p>
<p>Do you have any method to manipulate this apart from crude calculating. I detest arithmetic.</p>
<p>you substitute z=y-1 into y+z<90... so y+(y-1)<90, 2y-1<90.</p>
<p>I'm a senior at a high school in iowa</p>
<p>14.
r-t=2, so r=t+2
r+t=5, so by substitution, (t+2)+t=5
2t+2=5, t=3/2
sub into first equation... r-3/2=2, r=7/2</p>
<p>(7/2)/(3/2) = 7/3.
E</p>
<p>Get you, thanks a lot.</p>
<p>I am a senior at a high school in kansas</p>
<p>
</a></p>
<p>Thanks again</p>
<p>20. if x=7+y and 4x=6-2y what is the value of x
a.-4
b.-4/3
c.-1/6
d.10/3
e.10</p>
<p>x=7+y (1)
4x = 6-2y (2)</p>
<p>deal with (2) first
4x = 2(3-y)
divide both sides you get:</p>
<p>2x = 3-y (3)</p>
<p>Compare (3) and (1) you can see that if you add the two equations together, you eliminate y:</p>
<p>2x = 3-y</p>
<h2>x = 7+y</h2>
<p>3x = 10
x = 10/3</p>
<p>The method gives me right answer, I am asking myself whether are there any faster method?</p>
<p>y=-x^2+9
5=-p^2+9
-4=-p^2
4=p^2
p=2 or -2
AND
-7=-t^2+9
-16=-t^2
16=t^2
t=4 or -4</p>
<p>so... there's four possible sets of points...
1. (-2,5) and (-4,-7)
2. (-2,5) and (4,-7)
3. (2,5) and (-4,-7)
4. (2,5) and (4,-7)
slopes:
1. -12/-2 = 6
2. -12/6 = -2
3. -12/-6 = 2
4. -12/2 = -6</p>
<p>-6 is the minimum slope</p>
<ol>
<li>There are numerous other methods to get the answer, but none are any faster than that.</li>
</ol>
<p>any advice for methodology. I am working on Math nearly all this day but feel I have not improved anything.</p>
<p>BTW nice approach, understandable.</p>
<p>
</a></p>
<p>Next soldier, this one is a bit harder to swallow to me.</p>
<p>The volume of a cylinder is pi<em>r</em>h
The circumference of a circle is 2pi<em>r
So 2pi</em>r=8pi
r=4
128pi=pi<em>4</em>h
32=h</p>
<p>Volume is pi<em>r^2</em>h</p>
<p>Dimeter*pi=8pi so Radius=4</p>
<p>pi<em>(4^2)</em>h=128pi</p>
<p>h=8</p>
<p>oh, yeah, sorry, my mind slipped. SeaHwang is correct.</p>
<p>??? What is the answer, but perhaps most important, what is the right method???</p>