consider X-axis along the east-west direction and north-south direction along Y-axis
A = magnitude of distance traveled by hiker in north-east direction = 30 kilometer
θ = angle of direction of displacement of the hiker relative to x-axis or east direction = 45 degree counterclockwise
A' = component of distance traveled by the hiker along the east direction.
Since the angle is given with the x-axis, the Sin provides the component in Y-direction. hence
Using the equation
A' = A Sinθ
Inserting the values
A' = (30) Sin45
A' = 21.2 km
Answer:
616 cm²
Step-by-step explanation:
To find the area of a circle you use the formula A = π · r²
So we know that the diameter is 28 cm, to find the radius we would divide this in half, because d = 2r, giving us 14. Now we can do 14² which is 196, and then times that by pi or in this case 22/7.
196 × (22/7) = 616
The first one it goes up in the same increments
Answer:
<u>The additional 1.3% of increase in the annual interest rate that Jack is receiving in his savings account, from 2.8% to 4.1%, represent an increase of 46.42%.</u>
Step-by-step explanation:
Jacks's savings account annual interest rate before = 2.8%
Jacks's savings account annual interest rate after the increase = 4.1%
Difference of the two rates = 4.1% - 2.8% = 1.3%
How much percentage is that additional 1.3% from the rate before the increase?
(1.3 * 100)/ 2.8 = 130/2.8 = 46.42%
<u>The annual interest rate increased by 46.42% from the previous annual interest rate.</u>
Answer:
12 divided by 1.5 = 8 tapes
Hope this helps you
