Answer:
C. The vertical distance of a roller coaster from the ground changes with respect to its horizontal distance from the beginning of the ride.
Step-by-step explanation:
See how the graph is in a "U" shape? That tells us that it first decreases and then goes back up at some point.
The way you would find this answer is to go through each scenario (A, B, C, and D) and think about which thing would make sense to go down and then up.
Answer:
,
, and 
Or
angle PQR, angle SQR and angle PQS
Step-by-step explanation:
The three different angles in the diagram are angle PQR, angle SQR and angle PQS.
Another way of writing this is using an angle sign before the alphabets follows. Thus:
,
, and
Answer:
1832 miles
Step-by-step explanation:
First we need to find the angle between the routes of the planes.
If one is N30°W and the other is S45°W, we can find the angle between the routes with the following equation:
30 + angle + 45 = 180
angle = 105°
Then, we need to find the distance travelled by each plane, using the formula:
distance = speed * time
The time is 1.5 hours, so we have that:
distance1 = 800 * 1.5 = 1200 km
distance2 = 750 * 1.5 = 1125 km
Now, to find the distance between the planes, we can use the law of cosines:
distance^2 = 1200^2 + 1125^2 - 2*1200*1125*cos(105)
distance^2 = 3356214.43
distance = 1832 miles
(2x+23)+(9x-5)=95
11x+18=95
x= 95-18/11
x=7
therefore substituting value of x in the given equations of angles:
angle ABD = 2(7)+23=37°
angle DBC = 9(7)-5= 58° Answer
to verify = 37°+58°= 95° ( which was given)
Answer:

Step-by-step explanation:
Volume of a cylinder is given by cross sectional area multiplied by height hence
V=Ah
Since the cross sectional area of

Substituting the formula for A into formula for volume then

Substituting 8ft for r and 20 ft for h then

Rounded off to the nearest tenths, the volume is equivalent to
