Answer:
The family's average rate of travel for the day was 59.0 MPH.
Step-by-step explanation:
From 10:15AM to 4:45PM, they travelled a distance of 383.5 miles and a total of 6 hours and 30 minutes.
There are 60 minutes in an hour. 30 minutes translates into 1/2 an hour or .5
So, 6.5 hours and a total distance of 383.5 miles.
Velocity (MPH) = Distance (in miles) / Time (in hours)
MPH means Miles Per Hour
Variables:
Velocity (MPH) = x
Distance (in miles) = 383.5
Time (in hours) = 6.5
Plug in the variables into the formula
x = 383.5 / 6.5
Divide
x = 59.0 MPH
The drawbridge will be at an incline of 10.56 degrees. That is 5.56 degrees more than it's initial incline of 5 degrees.
If you draw a picture of this situation, you will see that you can write a sine ratio with the 11 and 60 (opposite over hypotenuse)
sin(x) = 11/60 Solve the equation for x
x = 10.56
The correct answers are A, D, E
Answer:
In mathematics, the functions of the whole part are functions that take a real number and return a whole number, either by excess or by default.
Function floor (or ground), that to each real number assigns the nearest whole number by defect, that is to say, the greater whole number equal or smaller than that real number.
Let's evaluate the extremes of the interval
x = -3
g (-3) = floor (-3) -2 = -5
x = 3
g (3) = floor (3) -2 = 1
Therefore, the graph that best corresponds to the function in the given interval is the attached graph.
Step-by-step explanation:
Answer:
8.5 cm
Step-by-step explanation:
Angles of the triangle:
Right triangle as it has 90° angle
Sides are a, b and 19 cm
- sin 30°= a/19 ⇒ a= 19 sin 30°= 19*0.5= 8.5 cm = shortest side
- sin 60°= b/19 ⇒ b= 19 sin 60°= 19*0.866= 16.45 cm
