Answer:
$9/hour
Step-by-step explanation:
The hourly rate of pay is the number of dollars per hour she gets.
Since you need dollars per hour, and that means dollars divided by hours, divide the number of dollars by the number of hours in any of the given lines.
$180/(20 hours) = $9/hour
All lines will give you the same answer.
$135/(15 hours) = $9/hour
$198/(22 hours) = $9/hour
Answer:
see explanation
Step-by-step explanation:
A property of a parallelogram is opposite angles are congruent, hence
(a)
∠PMN = ∠LON = 79°
(b)
∠NPM = 180° - (79 + 34)° = 180° - 113° (sum of angles in a triangle is 180 )
∠NPM = 67°
∠LPN = 180° - 67° ( straight angle ), hence
∠LPN = 113°
The 2 triangles in the big triangle are similar so we can write
3x / 3x - 2 = 5x / 3x
9x^2 = 15x^2 - 10x
6x^2 - 10x = 0
x(6x - 10) = 0
x= 0 or 5/3
Answer:
it's 45.09
Step-by-step explanation:
8% of 41.75 is 3.34
3.34 + 41.75 is 45.09
Answer: hello some part of your question is missing
Let v=〈−2,5〉 in R^2,and let y=〈0,3,−2〉 in R^3.
Find a unit vector u in R^2 such that u is perpendicular to v. How many such vectors are there?
answer:
One(1) unit vector ( < 5/√29, 2 /√29 > ) perpendicular to 〈−2,5〉
Step-by-step explanation:
let
u = < x , y > ∈/R^2 be perpendicular to v = < -2, 5 > ------ ( 1 )
hence :
-2x + 5y = 0
-2x = -5y
x = 5/2 y
back to equation 1
u = < 5/2y, y >
∴ || u || = y/2 √29
∧
u = < 5 /2 y * 2 / y√29 , y*2 / y√29 >
= < 5/√29, 2 /√29 > ( unit vector perpendicular to < -2, 5 > )