The length of DE in the triangles is 5.9
<h3>How to determine the length of DE?</h3>The given parameters are:
DB = 6.3
AC = 9.4
AD : DB = 3 : 5
Substitute DB = 6.3 in AD : DB = 3 : 5
AD : 6.3 = 3 : 5
Express as fraction
AD / 6.3 = 3 / 5
Multiply both sides by 6.3
AD = 3.78
The length DE is then calculated using the following ratio:
BD : DE = BA : AC
Where:
BA = BD + AD
This gives
BD : DE = BD + AD : AC
Substitute known values
6.3 : DE = 6.3 + 3.78 : 9.4
Simplify
6.3 : DE = 10.08 : 9.4
Express as fraction
DE/6.3 = 9.4/10.08
Multiply both sides by 6.3
DE = 5.9
Hence, the length of DE is 5.9
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Answer:
d) intersecting, but not perpendicular lines
Step-by-step explanation:
Changing the sign of one of the variable terms causes the line to be reflected across one of the axes. The slope is the opposite of what it was. Since the original slope was not 1 or -1, the resulting line is not perpendicular to it. Lines with different slopes will be intersecting.
The two lines are intersecting, but not perpendicular.
Answer: 36 years
Step-by-step explanation:
Exponential equation to represent growth:-
, where A is the initial value , r is the rate of growth and t is the time period.
Given : A rare coin appreciates at a rate of 5.2% a year. If the initial value of the coin is $500.
i.e. Put A= 500 and r= 0.052 in the above formula.
The amount after t years:
Inequality for value cross $3,000 mark:
Divide both sides by 500
Taking log on both sides , we get
Hence, it will take approx 36 years to cross the $3,000 mark.