SOLUTION:
120 miles = 60 seconds
120 ÷ 240 = 60 ÷ 240
120 × 1 / 240 = 60 × 1 / 240
120 / 240 miles = 60 / 240 seconds
1 / 2 mile = 1 / 4 seconds
1 / 2 mile = 1 / 4 ÷ 60
1 / 2 mile = 1 / 4 × 1 / 60
1 / 2 mile = 1 / 240 minute
FINAL ANSWER:
Therefore, it will take Rachel 1 / 240 of a minute to swim a 1 / 2 mile.
Hope this helps! :)
Have a lovely day! <3
(a+bi)(2+3i)-i=(-11+5i)(1-i)
2a+3ai+2bi+3bi²-i=-11+11i+5i-5i²
2a+(3a+2b-1)i-3b=-11+16i+5
(2a-3b)+(3a+2b-1)i=-6+16i
Therefore; we have the next system of equations:
2a-3b=-6
3a+2b-1=16
Finally, the system of equations is:
2a-3b=-6
3a+2b=17
We can solve this system of equations by reduction method
2(2a-3b=-6)
3(3a+2b=17)
----------------------
13a=39 ⇒a=39/13=3
3(2a-3b=-6)
-2(3a+2b=17)
----------------------
-13b=-52 ⇒ b=52/13=4
Answer: a=3; b=4
Answer:
15
Step-by-step explanation:
The product of distances from P to the two intersection points along the same secant (tangent) is the same for each. For this purpose, the tangent can be considered to intersect the circle twice at the same point. That is ...
PN·PM = PQ²
x(2x +7) = (x +6)²
2x² +7x = x² +12x +36
x² -5x -36 = 0
(x -9)(x +4) = 0 . . . . . . . true for x=9, x=-4
The relevant value of x is 9.
PQ = x +6 = 9 +6
PQ = 15
a straight line = 180 degrees
so the missing angle is 180 - 130 = 50 degrees
