ABCD is a quadrilateral work out CD
1 answer:
In a quadrilateral ABCD, the measure of the length of the quadrilateral CD will be 25.98 cm.
<h3>What is trigonometry?</h3>The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The length of AD will be
tan θ = AB/AD
AD = 12/ tan 35
AD = 17.14 cm
Then the value of the BD will be given by the Pythagoras.
BD² = AB² + AD²
BD² = 12² + 17.14²
BD² = 144 + 239.78
BD² = 437.78
BD = 20.92 cm
Then operate the sine rule in triangle BCD, we have
On further solving, the value of CD will be
CD = 25.98
More about the trigonometry link is given below.
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Using compound interest, it is found that $20,581.36 will be in the account in 5 years.
<h3>What is compound interest?</h3>The amount of money earned, in compound interest, after t years, is given by:
In which:
- A(t) is the amount of money after t years.
- P is the principal(the initial sum of money).
- r is the interest rate(as a decimal value).
- n is the number of times that interest is compounded per year.
- t is the time in years for which the money is invested or borrowed.
In this problem:
- The initial deposit is of P = 19000.
- The rate is of r = 0.016.
- Monthly compounding, hence n = 12.
- 5 years, hence t = 5.
Then:
$20,581.36 will be in the account in 5 years.
You can learn more about compound interest at brainly.com/question/25781328