Answer:
- distance traveled: 30 m
- displacement: 21.4 m
Step-by-step explanation:
You want the distance traveled and the displacement after walking 17 m south and 13 m east.
<h3>Distance</h3>
The distance traveled is the sum of the lengths of each leg of the trip:
17 m + 13 m = 30 m
You have traveled a distance of 30 m.
<h3>Displacement</h3>
The displacement is the distance from your final position to your starting position. If you draw a diagram of the journey, you see the displacement is the hypotenuse of a right triangle with legs 17 m and 13 m. The Pythagorean theorem can help you find this length:
h = √(a² +b²)
h = √(17² +13²) = √(289 +169) = √458 ≈ 21.401
At the end of your walking, you are 21.4 m from where you started.
Answer: 480 units^2
IN DEPTH EXPLANATION TO HELP YOU FOR FUTURE PROBLEMS:
Front:
b*h/2 = sa
12*5/2 = 30
Front = 30 units^2
Back:
b*h/2 = sa
12*5/2 = 30
Back = 30 units^2
Right:
w*l = sa
14*13 = 182 units^2
Right: 182 units*2
(figures out the length by using
pythagorean theorem)
Left:
w*l = sa
5*14 = 70 units^2
Left: 70 units^2
Bottom:
w*l = sa
12*14 = 168 units^2
ADD ALL THE UNITS:
168 + 70 + 182 + 30 + 30 = 480
First cut the shape into a square, triangle and rectangle. Then add all 3 areas. Area of a quadrilateral is A= b x h So once square is 4 X 4= 16. The rectangle has a area of 4 x 2= 8. The triangle, using the formula 1/2bh has an area of 1/2 x 2 x 4 = 4. So the area of the shape is 16 + 8 + 4 = 28 units
well i got
x+4/x+1
when i calculated it
Working for 2 hours pays $15.
Divide $15 by 2 to get $7.50 per hour.
Divide each amount of pay by its hours, and all are $7.50 per hour.
The equation is $7.50 multiplied by the number of hours, or
p = 7.50h
