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3 years ago

Find perimeter of quadrilateral

Mathematics

1 answer:

timofeeve [1]3 years ago

5 0

Answer:

A+B+C+D=perimeter

Step-by-step explanation:

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Sally's family is going to visit her grandparents for the holidays. They live 585 miles away. Sally's parents plan to drive for

Kobotan [32]

60(h)=number of miles
60h= 255

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2 years ago

2 x 5 x 0 please help

igor_vitrenko [27]

Answer: 0

Step-by-step explanation: hope it helps

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2 years ago

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How does the numbers of zeros in the product of 8 and 5000 compare to the number of zeros in the factors?

o-na [289]

If product means to multiply than
5000*8= 40000
Answer: There is one more zero in the product.

6 0

3 years ago

1/2b+9/4=7/4 solve the equation

AlladinOne [14]

First subtract 9/4 from each side

1/2b=-2/4

Simplify the 2/4

1/2b=-1/2

Divide each side by 1/2

b = -1

4 0

3 years ago

evaluate the line integral ∫cf⋅dr, where f(x,y,z)=5xi−yj+zk and c is given by the vector function r(t)=⟨sint,cost,t⟩, 0≤t≤3π/2.

meriva

We have

$\displaystyle \int_C \vec f \cdot d\vec r = \int_0^{\frac{3\pi}2} \vec f(\vec r(t)) \cdot \dfrac{d\vec r}{dt} \, dt$

and

$\vec f(\vec r(t)) = 5\sin(t) \, \vec\imath - \cos(t) \, \vec\jmath + t \, \vec k$

$\vec r(t) = \sin(t)\,\vec\imath + \cos(t)\,\vec\jmath + t\,\vec k \implies \dfrac{d\vec r}{dt} = \cos(t) \, \vec\imath - \sin(t) \, \vec\jmath + \vec k$

so the line integral is equilvalent to

$\displaystyle \int_C \vec f \cdot d\vec r = \int_0^{\frac{3\pi}2} (5\sin(t) \cos(t) + \sin(t)\cos(t) + t) \, dt$

$\displaystyle \int_C \vec f \cdot d\vec r = \int_0^{\frac{3\pi}2} (6\sin(t) \cos(t) + t) \, dt$

$\displaystyle \int_C \vec f \cdot d\vec r = \int_0^{\frac{3\pi}2} (3\sin(2t) + t) \, dt$

$\displaystyle \int_C \vec f \cdot d\vec r = \left(-\frac32 \cos(2t) + \frac12 t^2\right) \bigg_0^{\frac{3\pi}2}$

$\displaystyle \int_C \vec f \cdot d\vec r = \left(\frac32 + \frac{9\pi^2}8\right) - \left(-\frac32\right) = \boxed{3 + \frac{9\pi^2}8}$

7 0

2 years ago