Find the 100th term in the arithmetic sequence -19,-14,-9,-4,1... a. 100 c. 476 b. 471 d. 481
1 answer:
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Answer:
The length of side KM is units.
Step-by-step explanation:
Given information: KLMN is a trapezoid, ∠N= ∠KML, FD=8, LM:KN=3:5, F∈ KL, D∈ MN , ME ⊥ KN KF=FL, MD=DN, .
From the given information it is noticed that the point F and D are midpoints of KL and MN respectively. The height of the trapezoid is .
Midsegment is a line segment which connects the midpoints of not parallel sides. The length of midsegment of average of parallel lines.
Since LM:KN=3:5, therefore LM is 3x and KN is 5x.
Therefore the length of LM is 6 and length of KN is 10.
Draw perpendicular on KN form L and M.
(KA=EN, isosceles trapezoid)
Therefore the length of KE is 8.
Use pythagoras theorem is triangle EKM.
Therefore the length of side KM is units.
The required function is .
We use piece wise functions to describe situations in which a rule or relationship changes as the input value crosses certain “boundaries.” For example, we often encounter situations in business for which the cost per piece of a certain item is discounted once the number ordered exceeds a certain value.
We know that, the parking lot charges $5 per hour for the first two hours, and then $2.50 per hour after that.
So the function behaves differently in different intervals of its domain, this will be a piece wise function. To write it, we just need to clarify how the function behaves in each part of the domain.
So the function is
So for the first two hours (x is the number of hours), the cost is $5, then for any hour after that, the cost will be the $10 for the first two hours plus $2.50 for each hour after that.
To learn more about piece wise function from the given link:
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