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Mathematics 71 Online
princeevee:

i need some answers checked

princeevee:

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princeevee:

@Mercury

Mercury:

hm. not quite. remember, sides across from bigger angles tend to be larger UVT is the largest angle, right? so UT has to be the largest side which side do you think is smallest?

princeevee:

uv

Mercury:

not quite TUV is the smallest angle therefore the side across from it, VT, is the smallest so TU is the largest VT is the smallest making (A) the only viable choice

princeevee:

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Mercury:

any two sides, added up, must be ~larger~ than the third side 8 + 7 = 15 so it has to be the next side up, 8 + 8 = 16 so 8 = your sol'n

princeevee:

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Mercury:

hm, not quite, D is a valid triangle you want to find the answer choice where you can pick two sides, add them up, and get something less than the remaining side start with A and check all the possiblities

princeevee:

C?

Mercury:

C is valid (1/4 + 1/2 > 1/3, 1/2 + 1/3 > 1/4, 1/4 + 1/3 > 1/2) if you check B again 1.5 + 5 is less than 7 so B is the only valid choice

princeevee:

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Mercury:

this one is true if you multiply both sides of an inequality by a negative number, the sign flips

princeevee:

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Mercury:

A is not a valid triangle (10 + 11 is less than 22) remember that any two sides must add up to be greater than the remaining side you must test all the possible combinations within each answer choice

princeevee:

C then? it's close to 11

Mercury:

good, C is correct 4 + 8 > 11 8 + 11 > 4 4 + 11 > 8

princeevee:

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Mercury:

hm, not quite set up your proportion where big rectangle long side/big rectangle short side = small rectangle longer side/small rectangle shorter side

Mercury:

then cross multiply and solve for x

princeevee:

16?

Mercury:

good, x = 16 = your sol'n

princeevee:

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Mercury:

good

princeevee:

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Mercury:

hm. not quite. if you notice, both sides of that expression cancel out to 1 which is not what we want how would we get from a/b to ad? as a hint you need to multiply by something to 1. cancel out the b in the denominator, and: 2. get d in the numerator

Mercury:

well, let's start with step 1 what would we need to multiply (a/b) by to eliminate the b in the denominator?

princeevee:

uh..

princeevee:

CD?

Mercury:

a is being divided by b, right? so we can multiply by b (a/b) * b = a

Mercury:

now, what would we need to do to get from a to ad?

princeevee:

divide bc?

Mercury:

if we take a and divide bc we get a/bc not ad

Mercury:

notice how you can just multiply a by d to get ad

Mercury:

so in order to get from a/b to ad you just multiply by bd which answer choice shows multiplying both sides by bd?

princeevee:

C?

Mercury:

good so C = your sol'n

princeevee:

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Mercury:

good

princeevee:

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princeevee:

i actually feel like we did this one before...

Mercury:

so the whole scarf is 18 inches wide each gauge is 4 inches wide therefore we need (18/4) gauges each gauge is 30 stitches wide so # of stitches = 30 * (18/4) = 135 = your sol'n

Mercury:

hm

Mercury:

well, that's how I interpreted the problem

princeevee:

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Mercury:

hm not quite, check the way you set up your proportion 10/21 = 13/(5x + 0.08) solve for x

princeevee:

5.04?

Mercury:

hm, not quite cross multiply to get 10(5x + 0.08) = 13*21 then distribute the 10 and solve for x

Mercury:

had to correct a small typo

princeevee:

2.4?

Mercury:

*should be 0.8 not 0.08 but anyway, try applying the distributive property to the left side A(B+C) = A*B + A*C 10(5x + 0.8) = ?

princeevee:

5.3

Mercury:

sorry got distracted by something yeah that's correct, 5.3 is your solution

Mercury:

anything else? I have volunteer work all day tomorrow so I'd best be getting to sleep soon

princeevee:

@Vocaloid can we continue where we left off?

princeevee:

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princeevee:

@ThisGirlPretty think you can get him online?

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