Answer:
The length of sides KM, LM and KN are 
and 16 respectively. The area of KLMN is 
square unit.
Step-by-step explanation:
According to given information: KLMN is a trapezoid, ∠N= ∠KML, 
, ME ⊥ KN, KE=8 
.
Use pythagoras theorem is triangle EKM
Let angle N and angle KML be θ.
Since angle KML and angle MKE are alternate interior angles, therefore angle MKE is θ.
In triangle KME,
.... (1)
In triangle KNE,
.... (2)
Equate (1) and (2),
The length of side KN is
Sides LM:KN are in the ratio 3:5. Let the side lengths are 3x and 5x respectively.
The area of KLMN is
Therefore length of sides KM, LM and KN are and 16 respectively. The area of KLMN is square unit.
Answer:
2 because id you take 3 times 2 its 6 divided by 3 is 2
Answer:
16,425
Step-by-step explanation:
For future references, I'd say use a calculator for multiplication or calculate on a piece of paper. :)
Answer: 2.5 then 100.5
Step-by-step explanation:
The <em>money</em> account is doubled at an<em> interest</em> rate of 5.2 % compunded quarterly, that is, under the model of <em>compound</em> interest in a time period of about 3.5 years.
<h3>How to determine the doubling time of money account</h3>
The <em>compound</em> interest takes into account the change of money deposited in time in contrast with the <em>simple</em> interest, which only takes the initial amount of money into account. Please notice that four quarters equals a year.
The <em>compound interest</em> formula is described below:
<em>C = C' · (1 + r/100)ⁿ</em> (1)
Where:
- r - Interest rate
- n - Number of periods
- C' - Initial money amount
- C - Current money amount
If we know that C = 2 · C' and r = 5.2, then the doubling time is:
n = /㏒ C/C'/㏒ (1 + r/100)
n = ㏒ 2/㏒ 1.052
n ≈ 13.674
The <em>money</em> account is doubled at an<em> interest</em> rate of 5.2 % compunded quarterly, that is, under the model of <em>compound</em> interest in a time period of about 3.5 years. 
To learn more on compound interests, we kindly invite to check this verified question: brainly.com/question/14295570
