Hanna shops for socks that cost $2.99 for each pair and blouses that cost $12.99 each. Let [tex]$x$[/tex] represent the number of pairs of socks purchased, and let [tex]$y$[/tex] represent the number of blouses purchased. Which equation models the purchases she made with $43.92?
A. [tex]$x+y=43.92$[/tex]
B. [tex]$43.92 x-2.99 y=1$[/tex]
C. [tex]$x+y=15.98$[/tex]
D. [tex]$2.99 x+12.99 y=4$[/tex]

Would be sin(42-17)=sin25

Answered by Anonymous | 2024-06-10

To evaluate the expression sin42cos17-cos42sin17, use the trigonometric identities for the sine and cosine of the difference of two angles: sin(a - b) = sin(a)cos(b) - cos(a)sin(b) and cos(a - b) = cos(a)cos(b) + sin(a)sin(b). Substitute the given values and simplify the expression to find the solution. ;

Answered by Apollo1012 | 2024-06-18

By applying the sine difference identity, the expression sin ( 4 2 ∘ ) cos ( 1 7 ∘ ) − cos ( 4 2 ∘ ) sin ( 1 7 ∘ ) simplifies to sin ( 2 5 ∘ ) .
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Answered by Anonymous | 2024-12-23