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Nuetrik [128]
3 years ago
7

Due today, pleaseee helppp

Mathematics
1 answer:
Schach [20]3 years ago
6 0
The correct translation vector is (6,4) :)
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What is the area of a regular pentagon if its apothem has a length of 4 feet and each side has a length of 5.8 feet?
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3 years ago
Evaluate the given integral by making an appropriate change of variables. 10 x ? 5y 8x ? y da, r where r is the parallelogram en
Artyom0805 [142]
Take

\begin{cases}u=x-5y\\v=8x-y\end{cases}

so that you have

\begin{cases}\mathbf x(u,v)=\dfrac{-u+5v}{39}\\\\\mathbf y(u,v)=\dfrac{-8u+v}{39}\end{cases}

which gives a Jacobian determinant of

|\det J|=\left|\begin{vmatrix}\mathbf x_u&\mathbf x_v\\\mathbf y_u&\mathbf y_v\end{vmatrix}\right|=\dfrac1{32}

So upon transforming the coordinates to the u-v plane, you have (and I'm guessing on what the integrand actually is)

\displaystyle\iint_R(10x-5y)(8x-y)\,\mathrm dA=\frac1{32}\int_{u=0}^{u=2}\int_{v=5}^{v=10}\frac5{13}(2u+3v)v\,\mathrm dv\,\mathrm du
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4 0
4 years ago
Using the info given, solve for the missing value of the right triangle. Round each angle to the nearest degree, each length to
NeX [460]

Answer:

Step-by-step explanation:

The given triangle is a right angle triangle. The opposite side is given as 244 yards. The adjacent side is given as 119 yards. To determine the hypotenuse, we would apply Pythagoras theorem. It is expressed as

Hypotenuse^2 = opposite side^2 + adjacent side^2

Hypotenuse^2 = 244^2 + 119^2

Hypotenuse^2 = 59536 + 14161

Hypotenuse = √73697 = 271.5 yards.

cos θ = adjacent side/hypotenuse

cos θ = 119/271.5 = 0.4383

θ = Cos^-1(0.4383) = 64 degrees

The other angle would be

90 - 64 = 26 degrees

4 0
4 years ago
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