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deff fn [24]
3 years ago
10

Can u help me with this question

Mathematics
1 answer:
marta [7]3 years ago
4 0
I can't see the full problem
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A rectangular lamina of uniform density is situated with opposite corners at (0,0) and (15,4). calculate its radii of gyration a
Sphinxa [80]
First, you have to find the moment of inertia along the x and y axes. Constant density is denoted as k.


I_{x}= \int\limits^15_0\int\limits^4_0 {k y^{2} } \, dx  dy= \frac{1}{3}k (15-4)^4=4880.33k

I_{y}= \int\limits^15_0\int\limits^4_0 {k x^{2} } \, dx  dy= \frac{1}{3}k (15-4)^4=4880.33k

Then, the radii of gyration for

x = √[I_x/m]
y = [I_y/m]

where m = k(15-4)² = 121k. Then,

x = y = [4880.33k/121k] = 40.33

I hope I was able to help you. Have a good day.
7 0
3 years ago
3/4+7/12<br>adding and subtracting fractions with value
lesantik [10]

Answer:It would be 4/3 or 1 1/3. You can put 3/4 to 9/12 and then add.


6 0
3 years ago
Help I’ve been working on this problem for about 2 days and I still don’t get it and please explain and show me how to do the wo
Bond [772]

the boiling point of jet fuel is 329 degrees F. Rounded to the nearest degree, what is the temperature in degrees Celcius? Use the Formula: C = 5/9(F - 32), where C represents degrees celcius, and F represents degrees fahrenheit.

A). 165 degrees C

B). 183 degrees C

C). 201 degrees C

D). 535 degrees C

Solve:

C = 5/9(F - 32)

Simplify both sides:

C = 5/9(329 - 32) = 0

Simplify:

5/9

Equation at end of step 1:

C - (5/9 * 297) = 0

C - 165 = 0

Solve single variable:

C - 165 = 0

Add 165 to both sides:

C = 165

Therefore, Your answer would be, Letter Choice (A), (C = 165 degrees C

Hope that helps!!!!! Have a great day!!!!! : )

4 0
3 years ago
What figures can be drawn in a circle with 2 perpendicular diameters?
nalin [4]
A little washer on wine cap
5 0
3 years ago
(a) Find the equation of the normal to the hyperbola x = 4t, y = 4/t at the point (8,2).
gtnhenbr [62]

The slope of the tangent line to the curve at (8, 2) is given by the derivative \frac{dy}{dx} at that point. By the chain rule,

\dfrac{dy}{dx} = \dfrac{dy}{dt} \times \dfrac{dt}{dx} = \dfrac{\frac{dy}{dt}}{\frac{dx}{dt}}

Differentiate the given parametric equations with respect to t :

x = 4t \implies \dfrac{dx}{dt} = 4

y = \dfrac4t \implies \dfrac{dy}{dt} = -\dfrac4{t^2}

Then

\dfrac{dy}{dx} = \dfrac{-\frac4{t^2}}4 = -\dfrac1{t^2}

We have x=8 and y=2 when t=2, so the slope at the given point is \frac{dy}{dx} = -\frac14.

The normal line to the same point is perpendicular to the tangent line, so its slope is +4. Then using the point-slope formula for a line, the normal line has equation

y - 2 = 4 (x - 8) \implies \boxed{y = 4x - 30}

Alternatively, we can eliminate the parameter and express y explicitly in terms of x :

x = 4t \implies t = \dfrac x4 \implies y = \dfrac4t = \dfrac4{\frac x4} = \dfrac{16}x

Then the slope of the tangent line is

\dfrac{dy}{dx} = -\dfrac{16}{x^2}

At x = 8, the slope is again -\frac{16}{64}=-\frac14, so the normal has slope +4, and so on.

5 0
1 year ago
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