Answer:
A
Step-by-step explanation:
The area of figure=Area of rectangle+Area of triangle
Area of figure=(x+2)(x-3)+1/2*(x)*(x+2)
Area of figure=x^2-x-6+0.5*x^2+x
Area of figure=(3/2)x^2-6
a. The
component tells you the particle's height:
![3t=16\implies t=\dfrac{16}3](https://tex.z-dn.net/?f=3t%3D16%5Cimplies%20t%3D%5Cdfrac%7B16%7D3)
b. The particle's velocity is obtained by differentiating its position function:
![\vec v(t)=\dfrac{\mathrm d\vec r(t)}{\mathrm dt}=-\sin t\,\vec\imath+\cos t\,\vec\jmath+3\,\vec k](https://tex.z-dn.net/?f=%5Cvec%20v%28t%29%3D%5Cdfrac%7B%5Cmathrm%20d%5Cvec%20r%28t%29%7D%7B%5Cmathrm%20dt%7D%3D-%5Csin%20t%5C%2C%5Cvec%5Cimath%2B%5Ccos%20t%5C%2C%5Cvec%5Cjmath%2B3%5C%2C%5Cvec%20k)
so that its velocity at time
is
![\vec v\left(\dfrac{16}3\right)=-\sin\dfrac{16}3\,\vec\imath+\cos\dfrac{16}3\,\vec\jmath+3\,\vec k](https://tex.z-dn.net/?f=%5Cvec%20v%5Cleft%28%5Cdfrac%7B16%7D3%5Cright%29%3D-%5Csin%5Cdfrac%7B16%7D3%5C%2C%5Cvec%5Cimath%2B%5Ccos%5Cdfrac%7B16%7D3%5C%2C%5Cvec%5Cjmath%2B3%5C%2C%5Cvec%20k)
c. The tangent to
at
is
![\vec T(t)=\vec r\left(\dfrac{16}3\right)+\vec v\left(\dfrac{16}3\right)t](https://tex.z-dn.net/?f=%5Cvec%20T%28t%29%3D%5Cvec%20r%5Cleft%28%5Cdfrac%7B16%7D3%5Cright%29%2B%5Cvec%20v%5Cleft%28%5Cdfrac%7B16%7D3%5Cright%29t)
Answer:
r = 8 ft
Step-by-step explanation:
The formula for circumference of a circle is
C = 2 * pi *r
We know the circumference is 16 pi
16 pi = 2 pi r
Divide each side by 2pi
16 pi /2 pi = 2 pi r / (2pi)
8 = r
Hey!
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Question #1:
Least to greatest: 1.6 x 10^-2, 16%, 0.2, 3/5, 6^-1, √6
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Question #2:
Greatest to least: 5^7, 9^5, 5.9 x 10^4, 15^4, 7.8 x 10^3
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Hope This Helps :)
Well if he’s burned 456.6 calories already and he needs to get to 500 then you would have to simply subtract 456.6 from 500
The equation: 500 - 456.6 = 43.4
Hope this helps!