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Mathematics 31 Online
princeevee:

i need more answers checked

princeevee:

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princeevee:

@Vocaloid

Vocaloid:

good

princeevee:

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Vocaloid:

good

princeevee:

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Vocaloid:

check the top right key again see which mile number lines up with the 1 inch mark

princeevee:

5?

Vocaloid:

.5 there's a decimal point so .5 is your sol'n

princeevee:

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Vocaloid:

hm not quite small leg of the big triangle/small leg of the smaller triangle = long leg of the big triangle/small leg of the smaller triangle plugging in the actual sides we get EG/GH = EF/HI plug in the side values and solve for EF

princeevee:

18/10 is 1.8

Vocaloid:

make sure you are also plugging in the other side too

Vocaloid:

"EG/GH = EF/HI" you have successfully plugged in EG and GH. you also need to plug in HI. then solve for EF

Vocaloid:

according to the question, HI = 16 so plug in HI = 16 into 18/10 = EF/HI then solve for EF.

princeevee:

so ef/16...

Vocaloid:

yes then solve for EF

princeevee:

28.8

Vocaloid:

good, that's your solution

princeevee:

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Vocaloid:

not quite be very careful when you're writing your proportions. you must compare corresponding sides on both sides of the ratio. DE/EC = BA/AC solve for BA

princeevee:

26/34 = 0.76

Vocaloid:

good, keep going with the other side of the equation.

Vocaloid:

the entire equation is "DE/EC = BA/AC" you cannot neglect the right side BA/AC.

princeevee:

51.68

princeevee:

so B?

Vocaloid:

ugh I think I made a mistake w/ the original proportion DE/DC = BA/AC should be DC not EC

Vocaloid:

so 26/36 = BA/68

princeevee:

so x/68= 0.72

princeevee:

48.96, rounded it's 49

Vocaloid:

good, it's closer to 49.1 with less rounding so go w/ 49.1

princeevee:

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Vocaloid:

hm, not quite area = L*W so calculate area of big house/area of small house

Vocaloid:

any progress? 1. multiply the dimensions of the bigger house 2. multiply the dimensions of the smaller house 3. divide the result from step 1 over step 2.

princeevee:

i got B, somehow..

Vocaloid:

dimensions of the big rectangle: 20 * 44 dimensions of the small rectangle: 22 * 10 (20*44) / (22 * 10) = ?

princeevee:

2.18

Vocaloid:

be careful with parentheses you must calculate 20*44 first then you must calculate 22*10 then you must divide the two quantities at the end.

princeevee:

yeah, still 2.18.

Vocaloid:

20*44 = 880 22*10 = 220 880/220 = ?

Vocaloid:

880 divided by 220 is....?

princeevee:

4

Vocaloid:

good so your ratio is 4:1

princeevee:

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Vocaloid:

good

princeevee:

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Vocaloid:

good

princeevee:

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Vocaloid:

hm let's assume he will only sod the green parts (grass) calculate area of the entire rectangle - area of the gray part (the house) that will give you the # of square units

Vocaloid:

since one unit has length of 10, one square unit has area 10^2, or 100 feet sq therefore, multiply the result from the previous step by 100 since one roll of sod covers 9 square feet, divide the result by 9

princeevee:

so...

princeevee:

so 30?

Vocaloid:

the final result will be much larger than that calculate area of the entire rectangle - area of the gray part (the house) what did you get for this step?

princeevee:

no i mean that's all the sides added up

Vocaloid:

why are you adding up the sides? the formula for the area of a rectangle is length*width.

princeevee:

5 * 9?

Vocaloid:

good but that's the area of the entire lot you must then subtract the area of the house (the grey part)

princeevee:

which that makes 5

Vocaloid:

the dimensions of the grey area is 2 by 4 therefore 45 - (2*4) = ?

princeevee:

37

Vocaloid:

good then proceed with the rest of the steps \(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid since one unit has length of 10, one square unit has area 10^2, or 100 feet sq therefore, multiply the result from the previous step by 100 since one roll of sod covers 9 square feet, divide the result by 9 \(\color{#0cbb34}{\text{End of Quote}}\)

princeevee:

so 37 * 100? then divide it by 9?

Vocaloid:

yes

princeevee:

411.1

Vocaloid:

good since we only can buy whole # bags of sod you just round that up to 412 as your sol'n

princeevee:

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Vocaloid:

good

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