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Please just ask one question per post.

Look at the first thread in the sticky notes headed "Some Guidelines for question askers".

This question is being locked.  You need ask one at a time.

Are you sure that all the brackets are in the right place?

melody you could've kept scrolling. i didnt ask for you to do it, i need help with setting the problems up. like gosh keep that negative to yourself, please. 

let x= cosθ 

solve it as a quadratic.  (for x)

then sove for theta. 

Here is the diagram:

WE are not here to do your homework OR your quiz for you.

CONCLUSIONS ==11 LETTERS

11! / [2!2!2!2!]==11! / 16 ==2,494,800 - distinct permutations.

g⁴ + 18g² + 24 

= g⁴ + 18g² + 81 - 81 + 24

= (g² + 9)² - 57

q = -57

Corrections:::

Second line:    AP * BP = CP * PQ

AO = BO = CO => r

AP * BP = CO * PQ

(r - 20)(r + 20) = 8 * [sqrt(r² + 20²)]

DO = r

r = sqrt[(AB)² + (CD/2)²]

CQ (CD - CQ) = AQ * BQ

The radius of the smaller circle is 9*sqrt(2).

The answer is 88 degrees.

Hint - Watch this video:

If the larger container holds 270 gallons, then when it's 2/3 full it would contain 180 gallons. 

This is more than the entire capacity of the smaller container. 

How about you tell us what you got for each letter.

Most of us here will be more cooperative with helping you see errors than in doing it all for you.

The smallest is 0

See my answer in the original post

If Bruce had x, Cruz had y, than.

       x+y=294

   x(1-3/8) = y (1-2/5)

   5/8x = 3/5y

        x = 3/5 * 8/5y = 24/25y

x+y = 24/25y + y = 294 => y = 150 x = 144

      y * 2/5 = 150 * 2/5 = 60

 x : y = 144 : 150 = 24 : 25

So the ratio of Bruce's bookmarks to Cruz's is 24:25

      Cruz give away 60 bookmarks.

I think this is the answer. Sorry if it is wrong

The product of two consecutive odd integers is 63. Find the integers.

Show work. Correct answer with very little work will receive no credit.   

Let X = the smaller of the two consecutive odd integers. 

Therefore (X + 2) = the larger of the two consecutive odd integers. 

X • (X + 2)  =  63  

X² + 2X  =  63  

X² + 2X – 63  =  0    

(X + 9)(X – 7)  = 0 

X can be –9 in which case the numbers are –9 and –7    or  

X can be +7 in which case the numbers are +7 and +9  

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When the smaller container is 4/5 full, it is holding 120 gallons ...... 4/5 x 150 = 120  

120 is 2/3 of 180 gallons  ......  so the capacity of the larger container is 180 gallons.  

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