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Allushta [10]
3 years ago
9

COFFEE SHOP Chenoa wants to stop for coffee on her way to school. The distance from Chenoa’s house to the coffee shop is 3 miles

more than twice the distance from the coffee shop to Chenoa’s school. The total distance from Chenoa’s house to her school is 5 times the distance from the coffee shop to her school.
brainlist+ty+5 stars+points!

Mathematics
2 answers:
insens350 [35]3 years ago
6 0

Chenoa wants to stop for coffee on her way to school. The distance from Chenoa's house to the coffee shop is 3 miles more than twice the distance from the coffee shop to Chenoa's school. The total distance from Chenoa's house to her school is 5 times the distance from the coffee shop to her school.

a. What is the distance from Chenoa's house to the coffee shop? Write your answer as a decimal, if necessary.

b. What assumptions did you make when solving this problem?

ipn [44]3 years ago
5 0

Answer:

Chenoa wants to stop for coffee on her way to school. The distance from Chenoa's house to the coffee shop is 3 miles more than twice the distance from the coffee shop to Chenoa's school. The total distance from Chenoa's house to her school is 5 times the distance from the coffee shop to her school.

a. What is the distance from Chenoa's house to the coffee shop? Write your answer as a decimal, if necessary.

b. What assumptions did you make when solving this problem?

Explanation

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Answer:

\large\boxed{\theta=-\dfrac{\pi}{4}+k\pi\ or\ \theta=k\pi}\ for\ k\in\mathbb{Z}

Step-by-step explanation:

\tan^2\theta+\tan\theta=0\\\\\tan\theta(\tan\theta+1)=0\iff\tan\theta=0\ \vee\ \tan\theta+1=0\\\\\tan\theta=0\Rightarrow \theta=k\pi\ \text{for}\ k\in\mathbb{Z}\\\\\tan\theta+1=0\qquad\text{subtract 1 from both sides}\\\\\tan\theta=-1\Rightarrow\theta=-\dfrac{\pi}{4}+k\pi\ \text{for}\ k\in\mathbb{Z}

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Answer:

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Step-by-step explanation:

<u>Given:</u>

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<u>Apply exponent rule of distribution:</u>

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<u>Simplify the denominator:</u>

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<u>Simplify:</u>

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Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

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