3*40 + x / 4 = 45.
The answer of x comes out to be 60. Which means that the speed was travel around 60 miles per hour in the last one hour of the total journey.
Well to understand how i constructed its equation is very simple. I equated the total average speeds answer to 45 and just calculated the average speeds with the help of algebra where x is the number of miles..
Answer:
148°
Step-by-step explanation:
it is very close to the 150 line and the option closest to 150 is 148
Answer:
Option b is correct
Step-by-step explanation:
In order to check the end behavior of a polynomial function we just check the leading term and its coefficient and the procedure is as follows:
Here we can see that highest exponent of the polynomial function is 4
therefore degree of the polynomial is 4. and therefore
is leading term.
because of even degree it will be same from both ends that is either both sides rises or both sides falls. Since number in the front of leading is negative therefore it falls at both ends. that is falls to the left and falls to the right.
therefore option b is correct.
Answer:
DC = 1332.95 feet
Step-by-step explanation:
From the figure attached,
Let the measure of DC = h ft
And measure of side BC = a ft
By applying tangent ratio in ΔBCD,
tan(56°) = 
= 
= 
h = a[tan(56°)] --------(1)
By applying tangent rule in ΔACD,
tan(22°) = 
tan(22°) =
= 
h = (a + 2400)tan(22°) ------- (2)
Equating the values of h from equations (1) and (2),
a[tan(56°)] = (a + 2400)tan(22°)
a[tan(56°) - tan(22°)] = 2400[tan(22°)]
1.0785a = 968.6629
a = 899.085 ft
From equation (1),
h = 899.085[tan(56°)]
h = 1332.948
h ≈ 1332.95 ft