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luda_lava [24]
3 years ago
11

A camp counselor has $53.27 in a bank account and earns an additional $452.68 over summer vacation. The camp counselor spends $1

93.00 on clothes and wants to buy a plane ticket for $298.11.
I NEED HELP ASAP EXPLAIN THINKING
Mathematics
1 answer:
velikii [3]3 years ago
4 0

Answer:

First you do, $53.27+$452.68=$505.95

Next you do, $193+$298.11=$491.11

Last you do, $505.95-$491.11=$14.84

So in the end, the camp counselor will have $14.84 left.

Step-by-step explanation:

Hope that helps! :)

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Given, two vectors are u = (-2, -5) and v = (5, 2)

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\text { Now vectors are }(-2 \vec{\imath}-5 \vec{\jmath}) \text { and }(5 \vec{\imath}+2 \vec{\jmath})

(-2 \vec{\imath}-5 \vec{\jmath}) \cdot(5 \vec{\imath}+2 \vec{\jmath})=\sqrt{(-2)^{2}+(-5)^{2}} \times \sqrt{5^{2}+2^{2}} \times \cos \theta

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\begin{array}{l}{-10-10=\sqrt{29} \times \sqrt{29} \times \cos \theta} \\\\ {-20=29 \times \cos \theta} \\\\ {\cos \theta=\frac{-20}{29}} \\\\ {\theta=\cos ^{-1} \frac{-20}{29}} \\\\ {\theta=133.60}\end{array}

Hence, the angle between given two vectors is 134 degrees approximately.

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