Mathematics, 05.07.2019 12:30 hindjssnsk

Convert the following measures of capacity. a. 35 cubic meters to liters b. 450 cubic centimeters to milliliters c. 19.74 cubic meters to cubic decimeters d. 926 cubic centimeters to cubic decimeters

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Answer from: breannaasmith1122

a)35 cubic meters=35000 liters.

b)450 cubic centimeters= 450 milliliters.

c)19.74 cubic meters=19740 cubic decimeters.

d)926 cubic centimeters=0.926 cubic decimeters.

Step-by-step explanation:

a) since one cubic meter = 1000 liters,

35 cubic meters=35 X 1000=35000 liters

b) Since one cubic centimeters=1 milliliter,

450 cubic centimeters=450 milliliters.

c)Since one meter = 10 decimeters, one cubic meter=10³ decimeters.

Hence 19.74 cubic meters= $19.74X10^{3} =19740$ cubic decimeters.

d) Since once centimeter=0.1 decimeter, 1 cubic centimeter=0.1³ decimeters.

Hence 926 cubic centimeters= $926X0.1^{3}=0.926$ cubic decimeters.

Answer from: chaseashley24

a. 35 cubic meters to liters:

1 cubic meter = 1000 liters

so 35 cubic meters = 35 x 1000 = 35,000 liters

b. 450 cubic centimeters to milliliters:

1 cubic centimeter = 1 milliliter

Therefore 450 cubic centimeters = 450 milliliters

c. 19.74 cubic meters to cubic decimeters:

1 cubic meter = 1000 cubic decimeters

so 19.74 cubic meter = 19.74 x 1000 = 19740 cubic decimeters

d. 926 cubic centimeters to cubic decimeters:

1 cubic centimeters = 0.001 cubic decimeters

so 926 cubic centimeters = 926 x 0.001 = 0.926

Answer from: Quest

we have three similar triangles, because each has a right angle and shares an angle. let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

$(5 + x)/6 = 6/x$

$x(x+5) = 36$

$x^2 +5x - 36 = 0$

$(x+9)(x-4) = 0$

we reject the negative root and conclude x=4

answer: 4

If bc = 6 and ad = 5, find dc. a) 4 b) 4.5 c) 7.2

Answer from: Quest

x =-.20752

step-by-step explanation:

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know logb c = loga c/loga b

we want to convert to base 10 so a = 10

by default, we do not write the 10 c = 4 and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

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Convert the following measures of capacity. a. 35 cubic meters to liters b. 450 cubic centimeters to...