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leonid [27]
3 years ago
5

Please help! will rank brainliest

Mathematics
1 answer:
-Dominant- [34]3 years ago
5 0

Answer:

98 degrees

Step-by-step explanation:

We know that H is the same as G because the sides are marked equal.

41 + 41 = 82

In a triangle the measure of degrees in total is 180.

180 - 82 = 98

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A 1 newton force will stretch a spring 1 meter. The spring/mass system is damped by a force that is 8 times the instantaneous ve
sukhopar [10]

Answer:

Step-by-step explanation:

Given the mass is m =16kg, and 1N force will stretch the spring 1 m.

That is, F =1N,Z =1m. Now find the spring constant k:

F = kL = 1 = k(1) = k= 1N/m.

The damping force is 8times the instantaneous velocity, this means β = 8,

and the external force is f(t) = 0

Initially the object compressed 0.6m above equilibrium position,

with the downward velocity is 2m/s.

The differential equation for a spring mass system with

damping force and extemal force is: mx" + βxt + kx = f(t).

so, 16x"+ 8x' + x= 0, x(0} = -0.6, x'(0)= 2m/s.

Now solve the DE:

The auxilary equation for the homogeneous equation is 16x"+8x'+x=0

solving we get, 16r² + 8r + 1 = 0 => (4r + 1)² = 0 => r = - 1/4.

Then the general solution for the homogenous system is: x(t)=c_1e^{-t/4} +c_2te^{-t\4}.

Use the initial conditions x (0) = -0.6, x'(0) = 2m/s:

x(0)=c_1e^{0} +c_2(0)e^{0}=-0.6=c_1\\x'(t)=-\frac{1}{4}c_1e^{-t/4}+c_2e^{-t/4}-\frac{1}{4}c_2te^{-t/4}\\x'(0)=-\frac{1}{4}c_1e^0+c_2e^0-\frac{1}{4}c_2(0)e^0=2=-\frac{1}{4}(-0.6)+c_2=c_2=1.85.

Hence, x(t) =-0.6e^{-t/4}+1.85te^{-t/4}.

5 0
3 years ago
Please help. Will grant brainliest!!
makkiz [27]

Answer: 1st option

Step-by-step explanation:

I've attached the solution

5 0
3 years ago
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Anna [14]
I hope this helps you

4 0
3 years ago
Figures are similar. Find x.
katrin [286]

Answer:

24.3

Step-by-step explanation:

18/20 = x/20 (similar triangles)

8 0
3 years ago
Identify the function as a growth or decay function. y = (1/2)x
tangare [24]

Answer:

This would be a decay function.

Step-by-step explanation:

When a function is a growth function that means that it is growing but a decay function means that it is getting smaller.

8 0
3 years ago
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