Answer:

Step-by-step explanation:
In right triangles only, the tangent of an angle is equal to its opposite side divided by its adjacent side.
Therefore, we have the following equation:

Solving, we get:

Also in right triangles only, the cosine of an angle is equal to its adjacent side divided by the hypotenuse of the triangle.

We can also use the Pythagorean theorem now that we've found BC. However, if you choose to do so, make sure you don't use a rounded value for BC, as that could cause a notable deviation in your final answer.
Using the Pythagorean theorem to verify our answers:

Answer:
p = -6
Step-by-step explanation:
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Solution:
<u>Simplify the equation and solve for r.</u>
- r/16 + 6 = 7
- => r/16 = 7 - 6
- => r/16 = 1
- => r = 16
The value of r is 16.
<u>Check:</u>
- r/16 + 6 = 7
- => 16/16 + 6 = 7
- => 1 + 6 = 7
- => 7 = 7 (Proved correct)
Answer:

Step-by-step explanation:
To write an algebraic expression from words, translate each word into a symbol. Division can be shown with a division sign or a fraction sign. Create a fraction with a 12 in the numerator and the variable t in the denominator.
Answer:
$1,304.70
Step-by-step explanation:
If interest 6% annually, monthly is 0.5%.
The debt in 5 months will be 800 plus compounded interest for 5 months plus new due debt
In 3 more months the debt will be 2220.201 plus compounded interest for 3 months minus payment
After 8 months the debt would be 1253.67 plus compounded interest for 8 months
Then the size of the final payment would be $1,304.70