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olga_2 [115]
3 years ago
8

Triangle P=27,Q=40,P=33 law of sines round measures to the nearest tenth

Mathematics
1 answer:
nordsb [41]3 years ago
5 0
For the law of sines, you would apply it in this particular problem like so:
Since P is 27, its angle is 33 and Q's length is 40; you would set it up like this
<u />40/SinQ = 27/Sin33, multiply 40 with Sin33, then it would be 40Sin33, then divide it by 27. The result should be 40Sin33/27 = X

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A nut mixture of almonds and macadamia nuts at a small fair is $1.00 per pound of almonds and $5.93 per pound of macadamia nuts.
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Total pounds sold:
we know that p pounds of almonds and n pounds of nuts were sold.
The total pounds were 102 pounds.
Therefore:
n + p = 102 ............> equation I
Therefore:
p = 102-n ..............> equation II

For almonds:
1 pound of almonds costs $1, therefore:
p pounds of almonds would cost 1*p = $p

For <span>macadamia:
</span>1 pound of <span>macadamia costs $5.93, therefore:
n pounds of </span><span>macadamia would cost 5.93*n = $5.93n

The total amount paid for both types was </span><span>$452.03, therefore:
$p + $5.93n = </span><span>$452.03 ............> equation III

Substitute with equation II in equation III:
102-n+5.93n = 452.03
4.93n = 350.03
n = 71 pounds
Substitute with the value of n in equation 1 to get p as follows:
n+p = 102
p = 102-n = 102-71 = 31 pounds

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Therefore, based on the above calculations:
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cost of almonds = $31
number of pounds of macadamia = 71 pounds
cost of macadamia = </span>$421.03
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4 years ago
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