Answer:
A: 0
Step-by-step explanation:
Important to remember - total displacement is the direct distance between the start and finish points, and isn't always equal to the total distance travelled.
In the case of the table above, the hiker travels the same distance in opposite directions, which actually means they cancel each other out! Traveling 4 km to the west, then 4 km to east means you end up in the same spot, right? So your total displacement is 0! (or 4 - 4, which equals 0). Same happens with the north-south hikes - the hiker ends up in the same spot, as the displacement is equal to 6 - 6 = 0.
So, the total displacement of the hiker is 0. (Even though the hiker travelled 20 km!)
Step-by-step explanation:
<u>Formula:</u>
r represents the radius.
The radius is 1/2 of the diameter.
Since 1/2 of 16 is 8, 8 is our radius.
<u>Substitute:</u>
<u>Solve:</u>
Answer:
b. $342
Step-by-step explanation:
Base = Length * width
Base Area = 12 * 5
B = 180 square inches.
Perimeter of the prism will be :
P = 2 (length) + 2 (15)
P = 2 * 12 + 30
P = 54 inches
Height of the jewelry container will be :
X = Ph + 2B
X = 54 * 6 + 2 * 180
X = 684 square inches.
Total cost for paint of jewelry box is :
X * cost per inch
Total cost = 682 * $0.50
Total Cost = $342.
Answer:
-1/6
Step-by-step explanation:
= 1/3 (-1-1) x -1/4 (-1)
= 1/3 (-2) x 1/4
= -2/3 x 1/4
= -2\12
2 and 12 can cancel out each other.
so the answer will be.
= -1/6.
Answer:
a. 8 gallons
b. (11-0.75t) gallons
Step-by-step explanation:
a. Here in this question, we are told that the total amount of fuel in the fuel tank is 11 gallons and the car consumes 0.75 gallon per hour. We are interested in knowing the amount of fuel left in the tank after driving for four hours.
We proceed as follows;
Since 0.75 gallon is consumed in an hour, the amount of fuel consumed in 4 hours would be the amount consumed in an hour * 4 hours
Mathematically, that would be 0.75 * 4 = 3 gallon
Now, the amount of fuel left is simply the difference between the initial amount of fuel in the tank minus the amount of fuel present after 4 hours.
That would be; 11 - 3 = 8 gallons
b. Like above, we want to know the amount of fuel left after t hours.
Since 0.75 is used up per hour, the amount used up in t hours would be 0.75 * t = 0.75t
Now, the amount of fuel that would be left in the tank would be the difference between what we had initially and what was used up.
Mathematically, that would be 11- 0.75t
