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Ilya [14]
3 years ago
9

Could someone answer the question with the photo linked below? Then explain how to solve it?

Mathematics
2 answers:
melomori [17]3 years ago
5 0

Answer:

Hey there!

Pythagorean Theorem:

a^2+b^2=c^2\\

Let 6 be a, and 11 be b.

6^2+11^2=c^2\\

36+121=c^2\\

157=c^2

\sqrt{157} =c

Hope this helps :)

Natali5045456 [20]3 years ago
4 0

Answer:

12.529

Step-by-step explanation:

{a}^{2}  +  {b}^{2}  =  {c}^{2}  \\  {6}^{2}  +  {11}^{2}  =  {c}^{2}  \\ 36 + 121 =  {c}^{2}  \\ 157 =  {c}^{2}  \\  \sqrt{157}  =  {c}^{2}  \\ c = 12.529

hope \: it \: helps \:  < 3

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The paint mixer wants to mix paint that is 30% gloss with paint that is 15% gloss to make 3.75 gallons of paint that is 20% glos
Kipish [7]

The paint mixer should mix 1.238 gallon paint that is 30 % gloss and 2.512 gallon paint that is 15 % gloss to get 3.75 gallon of paint that is 20 % gloss.

In this question we must determine the correct volumes of each paint to obtain a 20 % gloss with paint by means of weighted averages:

c_{r} = x\cdot c_{a} +(1-x)\cdot c_{b} (1)

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  • c_{a} - Concentration ratio of the paint that is 30 % gloss.
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If we know that c_{a} = 0.3, c_{b} = 0.15 and c_{r} = 0.2, then the proportion of the paint that is 30 % gloss is:

0.2 = 0.3\cdot x +(1-x)\cdot 0.15

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V_{b} = V-V_{a}

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V_{b} = 2..512\,gal

The paint mixer should mix 1.238 gallon paint that is 30 % gloss and 2.512 gallon paint that is 15 % gloss to get 3.75 gallon of paint that is 20 % gloss.

To learn more on weighted averages, we kindly invite to check this question: brainly.com/question/18554478

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