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pickupchik [31]
2 years ago
10

Complete the number sentence to make it true

Mathematics
1 answer:
Mila [183]2 years ago
3 0
The answer is 54.609 is less than 54.69
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A lamina with constant density rho(x, y) = rho occupies the given region. Find the moments of inertia Ix and Iy and the radii of
jenyasd209 [6]

Answer:

Ix = Iy = \frac{ρπR^{4} }{16}

Radius of gyration x = y =  \frac{R}{4}

Step-by-step explanation:

Given: A lamina with constant density ρ(x, y) = ρ occupies the given region x2 + y2 ≤ a2 in the first quadrant.

Mass of disk = ρπR2

Moment of inertia about its perpendicular axis is \frac{MR^{2} }{2}. Moment of inertia of quarter disk about its perpendicular is \frac{MR^{2} }{8}.

Now using perpendicular axis theorem, Ix = Iy = \frac{MR^{2} }{16} = \frac{ρπR^{4} }{16}.

For Radius of gyration K, equate MK2 = MR2/16, K= R/4.

3 0
3 years ago
For the function h(x) =3x/(x+5)(x-4), solve the equation.​
LuckyWell [14K]

Answer:

x = 0

Step-by-step explanation:

To 'solve' means to find the x values that make the equation equal zero, so

0 = (3x)/[(x + 5)(x - 4)  

Multiply both sides by the denominator to get rid of the fraction

0[(x + 5)(x - 4)] = [(3x)(x + 5)(x - 4)]/[(x + 5)(x - 4)]

0 = 3x  

 0 = x     (divide both sides by 3)

So x = 0 is the solution for this equation

8 0
3 years ago
If cos x= sin(20 + x)° and 0° < x < 90°, the value of xis
ruslelena [56]

Answer:

draw a right angle triangle

Step-by-step explanation:

Let one of the angles be A  

cos A = sin (90-A)  

90 - x - 20 = x  

2x = 70  

x = 35 degrees

4 0
3 years ago
2/3g + 1/2g = 14 multi step equations, i need help knowing the steps
MaRussiya [10]
Find the common denominator

It is 6

Multiply everything by 6

2/3*(6)= 4g

1/2 *(6)= 3g

14*(6)= 84

4g +3g = 84

7g= 84


g= 12
8 0
2 years ago
The temperature in Hokkaido in Japan was -8 degrees at 24:00 one night. By 09:00 the temperature had risen 12 degrees. What was
likoan [24]

Answer:

4

Step-by-step explanation:

On a number line you will got to -8 and go up 12 and you would get 4

5 0
2 years ago
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