Odd integers are represented by 2n+1 where n is a whole number
consecutive odd are 2 apart so
they are 2n+1 and 2n+1+2
the sum of them is at least 16
2n+1+2n+1+2<u>></u>16
4n+4<u>></u>16
minus 4
4n<u>></u>12
divide 4
n<u>></u>3
sub back
2n+1 and 2n+3
2(3)+1 and 2(3)+3
6+1 and 6+3
7 and 9
they have to be at least 7 and 9
Answer: Time t = 33.0 seconds
Step-by-step explanation:
Given that the vertical distance H between the dock and the top of the boat's mast t seconds after its first peak is modeled by the function
H(t) = 5cos( 2π/3 t) − 35.5H
Where the maximum vertical distance = 5
At the down position, H(t) = 0
5cos( 2π/3 t) − (35.5/100)H = 0
5cos( 2π/3 t) − 0.355 × 5 =0
5cos( 2π/3 t) − 0.1775 = 0
5cos( 2π/3 t) = 0.1775
cos( 2π/3 t) = 0.1775/5
cos( 2π/3 t) = 0.355
2π/3 t = cos^-1 (0.355)
2π/3 t = 69.2
2πt = 69.2 × 3
2πt = 207.6
t = 207.6/2π
t = 33.0 seconds
Answer:
649
Step-by-step explanation:
Given the expression :
__ ÷ 18 > 86
Let blank = y
y ÷ 18 > 36
y / 18 > 36
Multiply both sides by 18
(y / 18) * 18 > 36 * 18
y > 648
Hence, the least whole number which can make the statement true is (648 + 1) = 649
Answer:
AB = CD
Step-by-step explanation:
According to the question, data provided is as follows
AB parallel to CD
AC and BD both are perpendicular to AB and CD
Based on the above information, the relationship between AC and BD is
As we know that
Since AC and BD both are perpendicular to AB and CD and these two are parallel. That means they have the same direction as they are parallel
Moreover, in the case of parallel lines, the perpendicular distance between these two lines would remain the same
Therefore
AB = CD
Answer:
He stayed for 99 days
Step-by-step explanation:
55% of 180 is 99
