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telo118 [61]
3 years ago
9

Enrico Alonso recently leased a new luxury car. His payments are $658 per month for 60 months. His deposit was $6,000. He paid a

$105 title fee and an $80 license fee. What is his total lease cost? (Your answer should include the dollar sign and a comma in the appropriate place.)
Mathematics
2 answers:
Lera25 [3.4K]3 years ago
8 0
Total cost=60×658+105+80=39480+185=$39,665.
Less deposit of $6000 is $33,665.
Aliun [14]3 years ago
7 0
I hope this helps. total cost=$45,665

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Given:

The figure of triangle ABC.

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m\angle B=\sin ^{-1}(\dfrac{m}{n})

To find:

The value of m and n in the given expression.

Solution:

Let h be the height of the triangle ABC.

Area of a triangle is:

Area=\dfrac{1}{2}\times base\times h

Where, b is the base and h is the height of the triangle.

Area=\dfrac{1}{2}\times a\times h

The area of the triangle ABC is D.

D=\dfrac{1}{2}\times a\times h

2D=ah

\dfrac{2D}{a}=h                  ...(i)

In a right angle triangle,

\sin \theta =\dfrac{Perpendicular}{Hypotenuse}

\sin B =\dfrac{h}{c}

\sin B =\dfrac{1}{c}\times \dfrac{2D}{a}              [Using (i)]

\sin B =\dfrac{2D}{ac}

m\angle B =\sin ^{-1}\dfrac{2D}{ac}            ...(ii)

We have,

m\angle B=\sin ^{-1}(\dfrac{m}{n})          ...(iii)

On comparing (ii) and (iii), we get

m=2D

n=ac

Therefore, the required values are m=2D, n=ac.

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