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This problem just requires us to find the prime factors of 270. 

We can solve using the tree (I'm sorry that I wasn't able to upload a pic of my work)

Then our answer would be: 2 x 3 x 3 x 3 x 3 x 5.

Hope that helps!!! :)

🙃🙃👌

I'm not sure, but I think x is 30 degrees and y is 40 degrees.

(If you want an explanation, then you can ask. The reason why I didn't give one, is I'm not too sure.)

My bad I saw other posts have many questions so I thought that was allowed/normal.

Need the diagram......

This problem is a simple LCM problem.

Bus A takes 15 minutes.

Bus B takes 25 minutes.

Now, we need to find the LCM of these numbers. We can do so using the ladder method or just listing the multiples out.

Once, we do that, we get our LCM which is 75. Now, we add that to the time at which they left.

Therefore, the answer to this problem is 3:15 pm.

Hope that helps!!! :)

🙃🙃👌

LCM of 15 and 25   is     75 minutes

2:00 + 75 min =   3:15 PM

Thanks Alan

There is only one year that ends in 00 in the intervsl given   2000

     when it is divided by 900   the remainder is 200   so it is  a leap year

       .... one....

Find hypotenuse

 sin 60 = sqrt3 /2

    sin 60 = opp / hyp = 13 sqrt3/hyp

       sqrt 3 / 2  =   13 sqrt3 /hyp

        hyp =   13 sqrt3 / (sqrt3 /2)  = 26

then find other leg via pythag theor

     26^2 = (13 sqrt3)²  + leg²

            26^2 - (13 sqrt3)^2  = leg^2

                 leg = 13                                     Now you have the lengths of all three sides ....finish.....

That doesn't make sense to me whatsoever. The sum of angles X and Z is over 180 

That looks more like this:

 Your question does not say how much of the 35% solution you need, so there is a LOT of answers....

   I will assume you want to use ALL of the 30 %  and need to know how much 80% to add to it to get a 35% solution.

alcohol in   = alcohol out

.8(x) + .3(270) = .35 (x+270)

.8x + 81 = .35x + 94.5

.45 x = 13.5

x = amount of 80% to add to 270 of 30% to get 35% = 30 ml

total end solution of 35% =   270 + 30 = 300ml

Ohhh, Sorry 😞 .

It's meant to be 365.

ikr!!! 

The Question says:

   a-b = 3

   a+5 = 5

Now, we can just use trial and error to find "a" and "b"

The sum of the numbers is equal to 5 and their difference is 3.

5,0 ---> This doesn't fulfil the first condition

4,1 ---> This fulfils both conditions 💯 

Therefore the ratio is:

4:1

Hope that helps!!! :)

🙃🙃👌

Every side is decreased by 400/11%

14 / 22 = 0.636363  or   7/11

x = 15 * 7/11 = 9 ⁶/₁₁

y = 18 * 7/11 = 11 ⁵/₁₁

z = 14 * 7/11 = 8 ¹⁰/₁₁

∠AED = 128 degrees

Too many questions in one post.........   try posting them seperately.....

Opens 1    4 left

    4 choices then

         3 choices

            then 2 choices      4 * 3 * 2 = 24 ways to open the remaining pax

Find hypotenuse via Pythag Theor

  hyp = sqrt(10^2 + 6^2) =  sqrt 136

Cos A = adj / hyp = 6/sqrt136 = 3/(sqrt 34)   

Since it is 6th degree it will have six roots....if they were all negative, the product of them would be a positive number.

Maybe I do not understand your question.....but wouldn't  AC be the sane length as AB = 10 ?

Every day, for ????   days

y/2+5=t