What is sin B? Enter your answer, as a simplified fraction

Mathematics

2 answers:

Svetlanka [38]3 years ago

4 0

◆ APPLICATIONS OF TRIGONOMETRY ◆

$using \: pythagoras \: theoram \: - \\ \\ {(ab)}^{2} = {(ac)}^{2} + {(bc)}^{2} \\ \\ {(20)}^{2} = {(ac)}^{2} + {(16)}^{2} \\ \\ {(ac) }^{2} = {(20)}^{2} - {(16)}^{2} \\ \\ {(ac)}^{2} = 400 - 256 \\ \\ {(ac)}^{2} = 144 \\ \\ ac = 12 \\ \\ \\ sin \: b \: = \frac{ac}{ab} = \frac{12}{20} \\ \\ after \: simplifying \: - \\ \\ sin \: b \: = \frac{3}{5} \: \: \: \: \: ans.$

RideAnS [48]3 years ago

4 0

(sin)b= 12/20=3/5
sin B= 3/5

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Given the matrices: 1 2 A= 1 -1 2 1 1 B= 3 4 Calculate AB: C11 C12 [2.1] х 1 2 3 4 C21 C22 C11 = C12 = -2 C22 - C215 DONE

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Answer:

$\:c_{11}=-2,\:\:\:c_{12}=-2$

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Step-by-step explanation:

Given the matrices

$A=\begin{pmatrix}1&-1\\ 2&1\end{pmatrix}$

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Calculating AB:

$\begin{pmatrix}1&-1\\ \:\:2&1\end{pmatrix}\times \:\begin{pmatrix}1&2\\ \:\:3&4\end{pmatrix}=\begin{pmatrix}c_{11}&c_{12}\\ \:\:\:c_{21}&c_{22}\end{pmatrix}$