Answer:
3rd triangle can be constructed with dimensions 2,6,7.
Step-by-step explanation:
sum of any two sides > third side.
difference of any two sides < third side
1.
8+5=13 not >14 (no triangle.)
2.
7+8=15 not >15 (no triangle)
3.
2+6=8>7
2+7=9>6
7+6=13>2
7-2=5<6
7-6=1<2
6-2=4<7
so it is a triangle.
4.
6+3=9 not >10 (not a triangle)
Initial cost of the jet ski = $925
Percentage of depreciation per year = 15%
Number of years after which the cost of the jetski has to be determined = 7
Then
Depreciated Value = Initial cost( 1 - percentage of depreciation) ^number of years
= 925( 1 - 15%)^7
= 925( 1 - 15/100)^7
= 925(1 - 0.15)^7
= 925(0.85)^7
= 925 *(0.85)^7
= 925 * 0.3206
= 296.53 dollars
So the depreciated cost of the jet ski after 7 years will be $296.53
Answer:
24 square units
Step-by-step explanation:
6×4=24
Answer with explanation:
The given statement is which we have to prove by the principal of Mathematical Induction
1.→For, n=1
L H S =2
R H S=1
2>1
L H S> R H S
So,the Statement is true for , n=1.
2.⇒Let the statement is true for, n=k.
---------------------------------------(1)
3⇒Now, we will prove that the mathematical statement is true for, n=k+1.
Hence it is true for, n=k+1.
So,we have proved the statement with the help of mathematical Induction, which is
