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lisov135 [29]
3 years ago
5

Simplify the ratio 40cm:2m

Mathematics
2 answers:
kakasveta [241]3 years ago
4 0
First, convert 2m into cm by multiplying by 100 so the ratio is now 40:200, then 40 goes into 200 5 times so the ratio is 1:5. Hope that helped!
Nastasia [14]3 years ago
4 0

Answer:

1:5

Step-by-step explanation:

To simplify the ratio of 40cm:2m, first we must make all the units consistent.

Converting 2m to centimeters (cm) using the conversion

100cm = 1m

then xcm = 2m

Cross multiplying we have;

100×2 = x× 1

x = 200cm

The ratio becomes 40cm:200cm

Note that ratio of two numbers also means taking their quotient, therefore;

40cm:200cm = 40cm/200cm

= 4/20

= 1/5

The simplified form of the ratio is 1:5

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\begin{cases}L_x=2x+\lambda_1+\lambda_2=0\\L_y=2y+2\lambda_1-\lambda_2=0\\L_z=2z+\lambda_1=0\\L_{\lambda_1}=x+2y+z-4=0\\L_{\lambda_2}=x-y-8=0\end{cases}

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Check the Hessian for f(x,y,z), given by

\mathbf H(x,y,z)=\begin{bmatrix}f_{xx}&f_{xy}&f_{xz}\\f_{yx}&f_{yy}&f_{yz}\\f_{zx}&f_{zy}&f_{zz}\end{bmatrix}=\begin{bmatrix}=\begin{bmatrix}2&0&0\\0&2&0\\0&0&2\end{bmatrix}

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