Decompose each velocity in its i and j - coordinates.
1) River's velocity
3.5 m/s, west fo east = 3.5i + 0j
2) Luke's velocity
5m/s, 60° east of north
5* sin(60°) i + 5*cos(60°) j = 4.33 i + 2.5 j
3) Resultant velocity
[3.5i + 0j] + [4.33i + 2.5j] = 7.83i + 2.5j
resultant speed = √[ (7.83)^2 + (2.5)^2 ] = 8.22 m/s
angle = arctan(2.5 / 7.83) = 17.7° north of east (equal to 72.3° east of north).
3n = 45 n= 15 super simple ;)
Let's simplify step-by-step To understand :)
3x2−7x−(x2+3x−9)
Distribute the Negative Sign:
=3x2−7x+−1(x2+3x−9)
=3x2+−7x+−1x2+−1(3x)+(−1)(−9)
=3x2+−7x+−x2+−3x+9
Combine Like Terms:)
=3x2+−7x+−x2+−3x+9
=(3x2+−x2)+(−7x+−3x)+(9)
=2x2+−10x+9
Answer :)
=2x2−10x+9
HOPE THIS HELPS
Answer:
8/3
Step-by-step explanation:
Given that:
Cost of violin = 13200 plus VAT at 20%
Cost of violin = (100 + 20)% * 13200
Cost of violin = 1.20 * 13200 = £15,840
Instalment pay = (360 * 12) = 4320
Therefore, deposit made equals ;
Total cost - Instalment pay
£(15,840 - 4320) = £11,520
Hence, ratio of deposit made to the total Instalment payment made ;
£11520 / £4320 = 8 / 3
First, take about the
and
You can cancel out the two 3's on the bottom using two of the threes from the numerator
Simplify the fraction
3 x 3 Multiply
9
