| u | = √(2² + (-1²)) = √5
| v | = √ ( 1² + (-8)² = √65
cos (u,v) = ( u * v ) / (| u | * | v |) =
(2 * 1 + ( -1 ) * ( - 8 )) / √5 √ 65 = (2 + 8) / √5 √65 = 10 / (√5 √ 65 )
The length of a larger diagonal:
d 1² = | u |² + 2 |u| |v| + | v |² = 5 + (2 √5 √65 * 10 / √5 √65 )+65
d 1² = 70 + 20 = 90
d 1 = √ 90 = 3√10
d 2² = 70 - 20 = 50
d 2 = √50 = 5√2
Answer:
The lengths of the diagonals are: 3√10 and 5√2 .
Answer:
8.43 years
Step-by-step explanation:
Given data
Cost price P= $4995
Rate r= 10%
FInal amount A= $2150
The expression for the time/duration is given as
t= ln(A/p)/r
t= ln(2150/4995)/0.1
t= ln(0.430)/0.1
t= 0.843/0.1
t= 8.43
Hence the time it will take is 8.43 years
Answer:
34.5
Step-by-step explanation:
17 + 70/x when x = 14.
substitute x for 14
17 + 70/4
17 + 17.5
34.5
Answer:
so in all it's 4.
Step-by-step explanation:
1: for the drink size.
1: for the kind of drink you want.
1: for the lid or no lid.
1: for the straw or no straw
