Answer:
3y+5x=0
Step-by-step explanation:
The question is on equations of parallel lines
Finding the gradient m of line AB
m=change in y coordinates/change in x-co-ordinates
Given points A(-3,0) and B (-6,5)
m=Δy/Δx Δy=5-0=5 Δx=-6 - -3= -3 ⇒m= - 5/3
Equation
The line will have its gradient equal to - 5/3
m=-5/3
point is the origin (0,0)
m=Δy/Δx
y-0/x-0 = -5/3
3(y-0)=-5(x-0)
3y-0= -5x+0
3y=-5x
3y+5x=0
Answer:
15•4 mm
Step-by-step explanation:
using sine rule
a÷ sinA=c ÷sinC
15•4÷sin90=0•5÷sinC
sinC =0•5 × sin90 ÷ 15•4
C =1•9°
A+B+C= 180
90+B+1•9=180
B= 88•2°
b÷sinB = a÷sinA
b÷sin88•2= 15•4÷sin90
b=sin88•2 ×15•4 ÷sin90
b =15•39
to 1 dp
b =15•4 mm
Answer:
14.1
Step-by-step explanation:
15/20 is 3/4s or 0.75
1/4 is 0.25
9514 1404 393
Answer:
a. $488
b. 12 hours at $18.30 = $219.60
c. $707.60
Step-by-step explanation:
a) You correctly computed Brown's straight-time pay. His pay is ...
40 hours at $12.20 per hour = $488
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b) Brown's overtime pay is 1.5 times his straight-time pay per hour:
OT pay rate = 1.5 × $12.20 = $18.30 . . . per hour
The amount of overtime is 52 hours - 40 hours of straight time = 12 hours. Then the overtime pay is ...
12 hours at $18.30 per hour = $219.60
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c) Brown's total pay is the sum of straight-time pay and overtime pay:
$488.00 +219.60 = $707.60 . . . total pay
