3(x-4)^4/3+16 = 64
3(x-4)^4/3 = 48
(x-4)^4/3 = 16
(x-4)^4 = 4096
(x-4)^2 = 64
x^2-8x+16 = 64
x^2-8x-48 = 0
(x+4)(x-12) = 0
x = -4 or x = 12
Infinite solutions they are a set of equations that express a set of quantities
First let us calculate for the total time of the travel
using the formula:
time = distance / velocity
time = 90 miles / 40 mph
time = 2.25 hours
Next, we calculate for the total gallons of fuel that is
theoretically required:
theoretical amount needed = 90 miles / 24 mpg
theoretical amount needed = 3.75 gallons
The difference of the actual and theoretical amount is the
amount which leaked:
amount leaked = 8 gallons – 3.75 gallons
amount leaked = 4.25 gallons
Therefore the amount of gallons leaked per hour is:
amount leaked per hour = 4.25 gallons / 2.25 hours
<span>amount leaked per hour = 1.89 gallons / hr</span>
Answer:
angle B: 39
AC: 7.288
AB: 11.58
(note: you cut off the part about rounding so make sure that it's rounded correctly before you put in your answer)
Step-by-step explanation:
To solve this we will use SOH, CAH, TOA
we have the angle and the one opposite to it which means we can use either SOH or TOA
let's use TOA
tan(51)=(9/x)
x= 7.288
We can now use pahtagaryous theroem to solve for the hyptonouse
we have
9²+7.288²=C²
C=11.58
Finally, to find angle B we will recall that the angles of a triangle must add to 180.
51+90+a=180
a=39