Answer:x=9
Step-by-step explanation:
To find the positive solution for this, then we will say;
Let the number be x
3x<x^2-54
x^2-3x-54<0
Then we are going to factorise
x^2-9x+6x-54=0
(x^2-9x)+(6x-54)=0
x(x-9)+6(x-9)=0
(x+6)(x-9)=0
Therefore, The positive solution for this is: x=9
Answer:
-12°
Step-by-step explanation:
it is negative because it it below zero.
Answer:
Step-by-step explanation:
27^1/3
27 is cube root of 3
so it can also be written as (3)^3
∴ {(3)^3}^1/3
3 and 3 will get cancelled
so it will be 3^1
= 3
9514 1404 393
Answer:
21.25 seconds
Step-by-step explanation:
In miles per second, the speed of the jet is ...
(720 mi/h)/(3600 s/h) = 1/5 mi/s
The speed of the sound is the same:
(1 mi)/(5 s) = 1/5 mi/s
Then the rate of closure between the airplane and the sound is ...
(1/5 mi/s) +(1/5 mi/s) = 2/5 mi/s
To find the time required to close a gap of 8 1/2 miles, we can use the relation ...
time = distance/speed
time = (8.5 mi)/(0.4 mi/s) = 21.25 s
The pilot will hear the thunder 21.25 seconds after the flash.
