0.489 in two other from

What fracction is closets to -3/5, 2/5 0r 4/5

Andreas93 [3]

Answer:

2/5

Step-by-step explanation:

4 0

4 years ago

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Make x the subject of these equations.

shepuryov [24]

$(1)a(x + b) = c \\ ax + ab = c \\ ax = c - ab \\ \frac{ax}{a } = \frac{c - ab}{a} \\ x = \frac{c - ab}{a}$

$(2)8(x + a) = b \\ 8x + 8a = b \\ 8x = b - 8a \\ \frac{8x}{8} = \frac{b - 8a}{8} \\ x = \frac{b - 8a}{8}$

$(3)a(x - 7) = b \\ ax - 7a = b \\ ax = b + 7a \\ \frac{ax}{a} = \frac{b + 7a}{a} \\ x = \frac{b + 7a}{a}$

$(4)c(2 + x) = 6 \\ 2c + cx = 6 \\ cx = 6 - 2c \\ \frac{cx}{c} = \frac{6 - 2c}{c} \\ x = \frac{6 - 2c}{c}$

8 0

4 years ago

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A homogeneous rectangular lamina has constant area density ρ. Find the moment of inertia of the lamina about one corner

frozen [14]

Answer:

$I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)$

Step-by-step explanation:

By applying the concept of calculus;

the moment of inertia of the lamina about one corner $I_{corner}$ is:

$I_{corner} = \int\limits \int\limits_R (x^2+y^2) \rho d A \\ \\ I_{corner} = \int\limits^a_0\int\limits^b_0 \rho(x^2+y^2) dy dx$

where :

(a and b are the length and the breath of the rectangle respectively )

$I_{corner} = \rho \int\limits^a_0 {x^2y}+ \frac{y^3}{3} |^ {^ b}_{_0} \, dx$

$I_{corner} = \rho \int\limits^a_0 (bx^2 + \frac{b^3}{3})dx$

$I_{corner} = \rho [\frac{bx^3}{3}+ \frac{b^3x}{3}]^ {^ a} _{_0}$

$I_{corner} = \rho [\frac{a^3b}{3}+ \frac{ab^3}{3}]$

$I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)$

Thus; the moment of inertia of the lamina about one corner is $I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)$

7 0

3 years ago

Here is part of a timetable for the Paris to Montpellier express train service.

evablogger [386]

Answer:

772.8 km

Step-by-step explanation:

Speed is the rate of change of distance. Speed is the ratio of distance travelled to time taken. Average speed is the ratio of the total distance travelled to the total time taken, it is given by:

Average speed = Total distance / total time

The 20 07 train leaves Paris at 20:07 and reaches Montpellier at 23:34. This means that the total time taken is 3 hours 27 minutes, that is 3.45 hours.

Given that average speed is 224 km/h, hence:

Average speed = total distance / total time

224 km/h = total distance / 3.45 h

total distance = 224 * 3.45 = 772.8 km

3 0

3 years ago

14. POLITICS Mi-Ling wants to mail at least 850 fliers encouraging voters to vote for the

mrs_skeptik [129]

f = amount of fliers expected to be mailed in 1 day.

a)

so, she has 5 days to mail those fliers, so

day 1........... 1f mailed out

day 2........... 2f mailed out

day 3........... 3f mailed out

day 4........... 4f mailed out

day 5........... 5f mailed out

so she'll be mailing out a total of 5f fliers, we know whatever "f" is, that total must be at least 850, now, it could be more, no less, could also be 850 exactly, but could also be more, 5f ⩾ 850.

b)

$\bf 5f \geqslant 850\implies f\geqslant \cfrac{850}{5}\implies f\geqslant 170$

8 0

3 years ago