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ZanzabumX [31]
3 years ago
5

Do these ratios make a proportion? 3/20 and 10/61

Mathematics
2 answers:
Naya [18.7K]3 years ago
6 0

Let's take a look at these numbers, and find out how they are or are not able to relate.

Let's look at the two numerators, 3 and 10. To get 3 to equal 10, you must multiply it by 3.333..repeated (you can find this by using 10/3).

Now, the two denominators, 20 and 61. In order to get 20 to 61, you must multiply it by 3.05 (61/20). Since 3.05 and 3.333 are not the same, the two numbers 3/20 and 10/61 are not proportional.

Another, easier way to find this is to simply divide the two numbers.

3/20=0.15

10/61=0.164

Again, since they are not the same, they are not proportional.

dusya [7]3 years ago
3 0
They do not make up a proportion.

Cross multiply 3/30 and 10/61 to get 183=200 since 183 is not equal to 200, the ratios don't make up a proportion.
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sergiy2304 [10]

\huge\bold{Given:}

Length of the base = 16 km.

Length of the hypotenuse = 34 km. \huge\bold{To\:find:}

✎ The length of the missing leg ''a".

\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}

The length of the missing leg "a" is\boxed{30\:km}.

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

Using Pythagoras theorem, we have

({perpendicular})^{2}  +  ({base})^{2}  =  ({hypotenuse})^{2}  \\ ⇢ {a}^{2}  +  ({16 \: km})^{2}  =  ({34 \: km})^{2}  \\ ⇢ {a}^{2}   + 256 \:  {km}^{2}  = 1156 \:  {km}^{2}  \\ ⇢ {a}^{2}  = 1156 \:  {km}^{2}  - 256 \:  {km}^{2}  \\ ⇢ {a}^{2}  = 900 \:  {km}^{2}  \\ ⇢a \:  =  \sqrt{900  \: {km}^{2} }  \\ ⇢a =  \sqrt{30 \times 30 \:  {km}^{2} }  \\ ⇢a = 30 \: km

\sf\blue{Therefore,\:the\:length\:of\:the\:missing\:leg\:"a"\:is\:30\:km.}

\huge\bold{To\:verify :}

( {30 \: km})^{2}  +  ({16 \: km})^{2}  =(  {34 \: km})^{2}  \\ ⇝900 \:  {km}^{2}  + 256 \:  {km}^{2}  = 1156 \:  {km}^{2}  \\⇝1156 \:  {km}^{2}  = 1156 \:  {km}^{2}   \\ ⇝L.H.S.=R. H. S

Hence verified. ✔

\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘

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