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Gemiola [76]
3 years ago
15

What is the exact value of tan(67.5°) ?

Mathematics
2 answers:
mariarad [96]3 years ago
7 0

Answer:

\sqrt\frac{2+\sqrt{2}}{2-\sqrt{2}}

Step-by-step explanation:

correct on edge2020

docker41 [41]3 years ago
4 0

Answer:

The exact value using trigonometric identities.

Exact Form:

√ 3 + 2 √ 2

Decimal Form:

2.41421356 …

Hope this helps :)

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Read 2 more answers
Lisa took out a loan for 5 months and was charged simple interest at an annual rate of 4.8%.
denis-greek [22]

Answer:

<em>Lisa borrowed $8,500</em>

Step-by-step explanation:

<u>Simple Interest </u>

Occurs when the interest is calculated on the original principal of a loan only.

Unlike compound interest where the interest earned in the compounding periods is added to the old principal, simple interest only considers the principal to calculate the interest.

The interest earned is calculated as follows:

I=Prt

Where:

I = Interest

P = initial principal balance

r = interest rate

t = time

Lisa took out a loan for t=5 months and was charged simple interest at an annual rate of r=4.8% = 0.048. She paid interest for I=$170.

We need to convert the time to years (there are 12 months per year):

t = 5 /12 years.

The formula must be solved for P:

\displaystyle P=\frac{I}{rt}

Substituting:

\displaystyle P=\frac{170}{0.048*5/12}

\displaystyle P=\frac{170}{0.02}=8,500

Lisa borrowed $8,500

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