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timurjin [86]
3 years ago
13

Sandra waits tables at Polly's Tamales. While she is working, she receives a discount on any food she buys. If an item normally

costs d dollars, Sandra can buy it for 2/3
d dollars. Last night at work, Sandra bought a taco salad that normally costs $9.
What price did Sandra pay for the taco salad?
Mathematics
1 answer:
Aloiza [94]3 years ago
3 0
Sandra pay $6 for the taco salad
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Answer:

sin\theta_1 =  - \frac{2\sqrt{70}}{19}

Step-by-step explanation:

We are given that \theta_1 is in <em>fourth</em> quadrant.

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Also, we know the following identity about sin\theta and cos\theta:

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\Rightarrow sin^2\theta_1 + \dfrac{9^2}{19^2} = 1\\\Rightarrow sin^2\theta_1 = 1 - \dfrac{81}{361}\\\Rightarrow sin^2\theta_1 =  \dfrac{361-81}{361}\\\Rightarrow sin^2\theta_1 =  \dfrac{280}{361}\\\Rightarrow sin\theta_1 =  \sqrt{\dfrac{280}{361}}\\\Rightarrow sin\theta_1 =  +\dfrac{2\sqrt{70}}{19}, -\dfrac{2\sqrt{70}}{19}

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So, value of sin\theta_1 =  - \frac{2\sqrt{70}}{19}

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