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WARRIOR [948]
3 years ago
6

Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
4 0

Answer:

Use the fact that sin(x) = opp/hyp and tan(x) = opp/adj

where opp=opposite, hyp=hypotenuse, adj=adjacent and recall sin(30)=1/2 and tan(30) = 1/sqrt(3)

sin(30) = 1/2 = 17/y

y = 17(2) = 34

tan(30) = 1/sqrt(3) = 17/x  

x = 17sqrt(3)

So the answer is (d)

Note that you could have also use the Pythagorean theorem to find x instead of using tan(30).

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Lily, Louis, and Ben went to an arcade and won tokens for prizes. Louis won 4.5 times as many tokens as Ben. Lily won 8 more tok
lana66690 [7]

<em><u>The expression that describes the number of tickets won by Lily is:</u></em>

a = 8 + 4.5c where "a" is the number of tokens won by Lily and "c" is the number of tokens won by Ben

<em><u>Solution:</u></em>

Given that Lily, Louis, and Ben went to an arcade and won tokens for prizes

Let "a" be the number of tokens won by Lily

Let "b" be the number of tokens won by Louis

Let "c" be the number of tokens won by Ben

<em><u>Given that Louis won 4.5 times as many tokens as Ben</u></em>

So we can frame a equation as:

number of tokens won by Louis =  4.5 times as many tokens as Ben

number of tokens won by Louis  = 4.5 x number of tokens won by Ben

b = 4.5 \times c

b = 4.5c

<em><u>Given that Lily won 8 more tokens than Louis</u></em>

number of tokens won by Lily = 8 + number of tokens won by Louis

a = 8 + b

Substituting the value of b = 4.5c in above expression

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Step-by-step explanation:

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