Answer:
x = 14.0902 <em>(After rounding to the nearest ten-thousandth)</em>
Step-by-step explanation:
Using the bottom angle to solve x, the best option to use would be sine as we have the length for the opposite leg. Then we do the following:
Sin(69) = Opp/Hyp
Sin(69) = 14/x
0.9336 = 14/x
0.9336(x) = 14/x(x)
0.9336x = 14
0.9336x/0.9336 = 14/0.9936
<u>x = 14.0902</u>
Let
X-----------------> number of pansies
y-----------------> number of trees
we know that
x=15*8----------> x=120 pansies
y=8 trees
cost of each trees is----------> $<span>20.75
</span>cost of each pansies is------> $2.50/6------> $5/12
[<span>expression to find Katherine’s final cost]=[cost trees]+[cost pansies]
</span>[cost trees]=y*$20.75
[cost pansies]=x*($5/12)
[expression to find Katherine’s final cost]=y*($20.75)+x*($5/12)
[expression to find Katherine’s final cost]=8*($20.75)+120*($5/12)
[expression to find Katherine’s final cost]=$166+$50
[expression to find Katherine’s final cost]=$216
the answer is
[expression to find Katherine’s final cost]=y*($20.75)+x*($5/12)
[expression to find Katherine’s final cost]=8*($20.75)+120*($5/12)
Katherine’s final cost is $216