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3 years ago

Round each addend to the nearest whole number and estimate the sum 19.43+11.5+3.08

Mathematics

1 answer:

Talja [164]3 years ago

5 0

19+12+3=34

because 11.5 is right between 11 and 12 you always round up

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

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3 years ago

Eighteenpassengers get on an airport shuttle at the airport. The shuttle has a route that includessixhotels, and passengersgetof

xz_007 [3.2K]

Answer:

So, exist 18564 different possibilities.

Step-by-step explanation:

We know that the eighteen passengers get on an airport shuttle at the airport. The shuttle has a route that includes six hotels, and passengers get off the shuttle at their hotel.

We calcuate how many different possibilities exist that eighteen passengers can choose six hotels. We get:

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Answer:

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Step-by-step explanation:

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60/1.5=40(%)

100(%)-40(%)=60(%)

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3 years ago

Please due in 2 mins!!

Mice21 [21]

Answer:

|-9 - (6)|

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You just sale the exercise from the bars that makes the 2 signs positives and finally yoy just put that in the calculator.

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