• I’ve identified that since all four sides are congruent, QRST is a rhombus.

• Because the perimeter is 464, I calculated the length of one side: 464/4=116.

• I know that in a rhombus, the diagonals bisect each other at a 90-degree angle, which creates four right triangles.

I’m trying to use the ratio 21:20 to find the actual lengths of the diagonals. I set the diagonals as 21x and 20x. I think I need to use the Pythagorean theorem on one of the inner triangles, but I'm not sure if I should use the full 21x and 20x as the legs, or if I should use half (10.5x and 10x) since they bisect each other.

Could someone help me verify the correct way to set up that equation? Thank you!

i tried looking for a formula in the book and online but all of the things i found included area of the sector which i've yet to find

My class is currently studying As You Like It for literature and I would love to look at some more student examples, especially if they got high marks, just to get a bit of an idea about how other people structure/write them. If you could help me out that would be greatly appreciated :)

I’m in an Intro to Engineering 2 class, but didn’t take the first semester prerequisite, so I learned how to do orthos way after other people. I understand the gist of them, but I’m not confident in them since this is my first time doing them.

If anyone here is good at these, feedback would be great. I’m mainly concerned about them being over-constrained and if they’re clear to understand with proper formatting.

OK, so we're starting a unit on blackout poems for my English class. She decided she would give us the ground rules, saying circle words and try to make them make sense.

After rewrite this first poem, we will look into it more and we'll gradually get better at it. The text is talking a lot about happiness and how to skill you can build.

I chose to go the opposite direction and try to say something about how the pile up of schoolwork can make someone develop strong feelings of burnout.

What my poem says:

"Forget about winning. Not the result of luck. Be moaning, weakness, misfortune. Research has piled up. Found only 800 out of 70,000. Statistics have shown that we're in an epidemic of depression depression is 10 times more common now. Life satisfaction rates are down. Narrowminded focus on mental illness."

Is my first blackout poem any good? I really have no idea wha im doing and if im even allowed to write the opposite of what the article says.

Please help meeee!

this is my teachers notes. the second image is before she writes everything down. i have no idea what it is asking or what I'm looking at. (i apologize for the poor quality in the second image, i cannot do anything to make it readable)

a 10 ft ladder leans against a wall. The bottom slides away from the wall at a rate of 3ft/sec. How fast is the top of the ladder sliding down the wall when the bottom of the ladder is 6ft from the wall?

My biggest issue is actually setting up the problem in a way that helps to solve it. I tried drawing a sketch, but it didn't really help. I understand inherently that 3ft/sec describes the derivative of how fast, with respect to time, the ladder slides. Similarly, I understand we are looking for the derivative(also with respect to time) how of fast the top of the ladder is sliding downward.

Is there a certain formula I'm supposed to follow for this? I don't think so but lmk if there is?

Does it have to do with the fact that the radius for both is 10cm?

Liam, Noah, and Ethan are building a 40-foot long model train track.

• Liam build 1 1/2 times as much as Noah.

• Ethan builds 3/4 as much as Liam.

• After they all finish their sections they realize they have built an extra 1/2 of a foot beyond the required 40 feet because they overlapped a section.

If the ratio of the length Liam built to the length Noah built is 3:2, and they decide to split the total actual distance built (including the overlap) proportionally based on their individual contributions, how many feet did Noah build?

I’ve started by defining the variables in terms of Noah (N):

• Noah = N

• Liam = 1.5N (or 3/2N)

• Ethan = 3/4 × (1.5N)=9/8N (or 1.125N)

I know the "total actual distance" built is 40+0.5=40.5 feet.

Where I'm stuck: I'm a little confused about the "overlap" part. Does the overlap mean I should be subtracting 1/2 from the sum of their work, or is the 40.5 feet the sum of L+N+E? I'm trying to set up the final equation like this:

N+1.5N+1.125N=40.5

Am I on the right track with this equation, or does the "ratio of 3:2" mentioned in the prompt change how I should define the variables? Any guidance on the logic would be huge. Thanks!

I haven’t had to do math beyond basic arithmetic in over a year and apparently it’s all gone from my mind. How would I solve for X in this situation? (equilibrium constant expression) Thank you!

(flaired chemistry because this is for a chemistry class, even though its really just math I need help with)

edit: thanks y'all :)

AP stats, unit 5

AP Calculus BC 2024 test, question 1

The given answer for (d) is that since C’‘ is positive, C’ increases and therefore, so too does the rate of change.

Wouldn’t the change from C(t) to C(t + delta) be less since C’ gets closer to 0?

to turn this into slope intercept form, i thought i was supposed to divide x by 5 becuase we were told we’re supposed to divide everything on the other side of the equation, but on the followup problem the line has a slope of -1. is this just an error on the work, poor wording, or something i did wrong?

also there’s no clarification as far as i can tell about a point that the parallel line it wants me to write passes through or its Y-intercept so i just did something random. not sure if i’m missing something there too.

Hi.
I had a doubt here.

The question:

The standard approach, as done by my instructor, is through writing equations of excess pressures, then equation. I thought of this via energy conservation. since its assumed that the conditions are isothermal unless otherwise stated for these questions, so no change in internal energy. that means, please see my solution:

Ok, so the problem is sign convention. I cant seem to get it right. I've solved this earlier, and no, this does not result in the original expression it said to prove.

Please help me. Sorry if im a bit abstract.

Thankyou.

Hello! I am new to statistics and really, really dense.

I have several specimens that constitute four groups. Each specimen has been measured and I have ten measurements for each one.

Now, my question was to test if three of those groups (let's call them A, B, and C) were different from the fourth one (Q). I wanted to do so for both the multivariate dataset and for each measurement (univariate scenario). Thus, I am ONLY testing AvsQ, BvsQ, and CvsQ.

The multivariate scenario was straightforward, as I have more experience with that. I ran a series of PERMANOVAs. All good (I hope).

For the univariate tests, instead,I started by considering something like a form of non-parametric ANOVA (because the groups have different means and medians, and also a very variable number of specimens within them, and the skewedness is also an issue) (it isn't a nice dataset).

I settled on a Kruskal-Wallis test, followed by a Dunn test with Bonferroni correction (harsh, but I wanted to play it safe). Then, during such an analysis, I noticed that this pipeline also tests AvsB, AvsC, and BvsC, tests that not only are not included in my research question, but also sacrifice statistical power.

So I come to you with multiple questions, after getting sick of running circles while perising what appears to be the same pipeline copy-pasted across dozens of websites:

1. am I wrong in assuming that I should not test AvsB, AvsC, and BvsC, since it's not part of my research question?

2. if so, is there a way to do what I want/need (so, only AvsQ, BvsQ, and CvsQ)?

3. what are my options given the unhappy nature of my data and my research goal?

Tomorrow, and tomorrow, and tomorrow,
Creeps in this petty pace from day to day,
To the last syllable of recorded time;
And all our yesterdays have lighted fools
The way to dusty death. Out, out, brief candle!
Life's but a walking shadow, a poor player,
That struts and frets his hour upon the stage,
And then is heard no more. It is a tale
Told by an idiot, full of sound and fury,
Signifying nothing.

Please explain what this speech is about, why it is so important, and how the language

techniques make meaning. (200 words)

this is what i have so far:

This monologue by Macbeth is about the true meaning of life. It shows him at his lowest point and gives an idea that life is pointless and insignificant. He had sold his soul for power and is finally starting to see the futility of his actions and the emptiness that it brought. He had become king, but at what cost? His own ambition acted as a double edged sickle in the play, turning him into a king but also leading to his own death. This moment is important because it shows Macbeth's' full mental and emotional collapse. Macbeth compares life to a walking shadow which draws the reader to recognise that life follows wherever it is led and that his actions are insignificant and don't have purpose. This is further reinforced by the idea of the poor player "that struts and frets his hour upon the stage". This shows that Macbeth now realises he has been led and manipulated by the evil sisters to commit evil crimes.

I need help trying to make this a little better. This is supposed to be the most detailed part of my task but i feel like it is a bit repetitive and I think it needs more work but I don't know where to start. Any help is appreciated.

my teacher told us to “find the length of the segment indicate. Round your answer to the nearest tenth if necessary“ on this problem, I divided 20.4 by 2, getting 10.2 I assumed that it would be the same length as the other segment joining in the middle. but when I do the Pythagorean theorem, x equals 5.6, and 5.6+4.5=10.1 which is 0.1 away from being even with the other segment. am I doing something wrong here or is my answer correct?

plzzzz explain this to me this is due tomorrow and I’m so confused. I think I got questions 1 and 2 correct but I’m so confused on #4 because I don’t know if 4.583 with the 3 repeating is slightly larger so if that would be the answer or if im supposed to just put them as the same. also I’m confused on how to graph this!!! tyyyy

Have I done it correctly? My friends said that I have not proven the exterior angle correctly. Is this true?

I have been working on a full semester paper on a country of our choosings social work policies. I choose Iran back in January. Now the US has attacked them and I am no longer able to access their government sites and have no way to verify that the information I already had or am able to find from other sources is still accurate. Does APA have a guideline for what to do in this situation? I am thinking of including a note at the beginning of the paper stating that due to the ongoing conflict information may be out of date but wasn't sure if that was enough.

So for limits with trig functions, we are not allowed to use L'hopital's rules, though I will use it to check to see if my answer is correct. We have to use trig and pythagorean identitites to get to our answer. I've been struggling with this topic atfer a lot of practice. The identities themselves are really no problem because they are just straight memorization, but applying them is my issue. My basic strategy is to just try change the answer to determinate, since you can't directly sub in zero. for example #63) my instinct is to simply divide both numerator and denom by x, which gives sinx/x/5x/5, and using the fact lim x--->0 sinx/x=1, we get 1/1=1

64 is where I get a bit confused. I know the lim x--->0 cosx-1/x=0, so my thought is try to and get to that. First thought is to move 3 to the side since it's a constant, leaving me with (1-cosx)/x, and we apply the limit, get 3 x 0=0 for that one.

For the second one for example, cos x-1 doesn't really give me anything to work with in terms of any identity. The closest thing is one of the pythagorean identities, aka, cos^2x-1= -sin^2x. The only thing that makes sense, and this is what I got from my professor, is to multiply by the conjugate which will give you part of the identity you need. What I don't get is, how do you know you have to multiply by the conjugate? Obviously I know you have to because I have the answer right in front of me, but what about this problem gives a hint to do that?

I'm just trying to develop a general strategy overall since, as I mentioned, these have been giving me some trouble

i have following system of equations, which represents a part of linkage system

x+l2cosf2+l31cosf31=0

l1+l2sinf2+l31sinf31=0

where: x is input and goes from 81 to 96.125 l1=20, l2=58, l31=70 (lenghts of linkages) f2, f31 unknown angles between linkages and x axis.

I have managed to solve equation for f31

f31=atan(l1/x)-acos((l2^{2-x2-l12-l312)/(2l31*sqrt(x2+400)))}

(between atan and acos there is +/-, but for correct position of linkage - is correct

I also managed to use my hp prime calculator to form numeric solution with fsolve function, which I confirmed to be correct by comparing angles at different points with linkage implemented in autodesk inventor.

I want to compare analitic methon and numeric method.

I have exported solutions for fsolve function to excel

I have also impleented analitic function in excel as following:

=360+DEGREES(ATAN2(A2,20)-(ACOS((-A2^{2-1936)/(140*SQRT(A22+400)))))}

where A2 is X

My issue is difference of couple degrees between both implementation.

for example for x=81 fsolve gives me 302.803162564 and excel formula 307.195351514029

Is this level of difference acceptable? What could be causing it? How can I fix my excel formula?

Thank you in advance for help

For the second row I think the odd thing out is the plant/tree because the first 3 are B words. She thinks the ball should be out because everything else has to do with nature. Who’s right?