Answer:
44.4 degrees
Step-by-step explanation:
Given the following
Hypotenuse = 7
Longer leg = 5 (adjacent])
Let the acute angle angle between both sides be x
According to SOH CAH TOA
Cos theta = adj/hyp
Cos x = 5/7
x= arccos (5/7)
x = arccos (0.7143)
x = 44.4degrees
Hence he measure of the acute angle that is included between the longer leg and the hypotenuse is 44.4 degrees
Answer:
Step-by-step explanation:
We are given the temperature inside the machine from startup until 10 seconds later, the formula is:
We want to know at what time t the temperature inside the machine will be equal to 128 °C.
So we set:
Now, we rearrange the equation to keep terms with t on the left hand side and terms without t on the right hand side
and we simplify:
now it's easy to solve for t:
And thus we arrive to the solution.
Speed is the ratio of distance and time.
So, average speed= Total distance/ total time.
Let's assume t is the time taken for going from New Orleans to Boston and it's taking 1 hour less to return back. So, time taken for return back is t-1.
Given the speed from New Orleans to Boston is 40 mph. So,
Distance = Speed * time
So, d =40 t
Hence t= d/40
Similarly Distance for returning back:
d =80 (t-1)
d/80 = t-1 (Dividing 80 to each sides)
Now the total distance= d+ d = 2d
And total time : t + t -1= d/40 + d/80
So, the average speed =
= (cancel out d )
Common denominator of 40 and 80 is 80. So, multiply each terms by 80.
=
=
=
=53.33 mph
So, the average speed is 53.33 mph.
Step-by-step explanation:
x²+3x+x+3+x²+4x+2x+8
2x²+10x+11....then solve quadratically