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mestny [16]
2 years ago
8

Please help me with this

Mathematics
1 answer:
KIM [24]2 years ago
4 0

Answer:

0.40

Step-by-step explanation:

Sin(T) is Opposite over Hypotenuse, which is RS/ST.

ST = sqrt(43) so we can plug that in.

To find RS, use the Pythagorean theorem, so, 6^2+ (RS)^2= 43.

36 + (RS)^2 = 43

RS^2 = 7

RS = sqrt(7)

Thus, Sin(T) = sqrt(7/43) or 0.40

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Step-by-step explanation:

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gavmur [86]
First off, let's convert the percentages to decimal format, so our 77% turns to 77/100 or 0.77, and our 55% turns to 55/100 or 0.55 and so on

now, the sum of both salines, must add up to the 77% mixture, let's say is "y"
so, 11 + 4 = y, and whatever the concentration level is, must also sum up to the mixture's concentration of 77%

anyway   thus

\bf \begin{array}{lccclll}
&amount&concentration&
\begin{array}{llll}
concentrated\\
amount
\end{array}\\
&-----&-------&-------\\
\textit{first sol'n}&11&x&11x\\
\textit{second sol'n}&4&0.55&2.20\\
------&-----&-------&-------\\
mixture&y&0.77&0.77y
\end{array}\\\\
-------------------------------\\\\
\begin{cases}
11+4=y\implies 15=\boxed{y}\\
11x+2.2=0.77y\\
----------\\
11x+2.2=0.77\cdot \boxed{15}
\end{cases}

solve for "x"
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