2 years ago

Find the angle measures in the regular polygon.

Mathematics

1 answer:

DIA [1.3K]2 years ago

3 0

the angle measures in the regular polygon is B)140

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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

2 years ago

For Triangle ABC, if AB = 10 mm, BC = 19 mm, and CA = 15 mm, what is the SMALLEST angle measure? * 1 point Angle A Angle BFor Tr

Natasha_Volkova [10]

Answer:

Angle C

Step-by-step explanation:

7 0

2 years ago

True or false the image of the point (-8,-5) under a reflection across the y-axis is (8,-5)

kakasveta [241]

False. A reflection over the y-axis would result in: (-8,5)

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3 years ago

what is the solution to the equation fraction 3 over 5 n minus fraction 4 over 5 equals fraction 1 over 5 n? n = −1 n = 2 n = fr

Norma-Jean [14]

3/5n - 4/5 = 1/5n....multiply everything by 5 to get rid of the fractions
3n - 4 = n
-4 = n - 3n
-4 = -2n
-4/-2 = n
2 = n <==

4 0

3 years ago

Read 2 more answers

HELP!!!

Troyanec [42]

Answer:

Step-by-step explanation:

18-12

12-X

X=12*12/18

X=8mm

8 0

2 years ago