Hello! For ease of calculations, we can identify the time it took for the weight to bounce back to the other direction, then the other, and then back to its original position by looking at the time it took for the weight to change from 0 to 25 to 0 to -25 then back to 0. This is one whole cycle of the weight.
By the time the weight first reached zero, 1.5 seconds has passed. By the third time it got to zero again, 7.5 seconds has passed. Therefore, one whole cycle of the weight is 7.5-1.5 = 6.0 seconds.
ANSWER: One whole cycle of the weight took 6 seconds.
Answer:
7/4
Step-by-step explanation:
x and y are exchanged for each other, and the sign is flipped.
If 6/20 took the bus then there is 14/20 remaining.
6/20 simplified is 3/10.
14/20 simplified is 7/10.
Hope This Helps You!
<span>Good Luck Studying :)</span>
Answer:
-11/2
Step-by-step explanation:
Put the numbers into the expression and do the arithmetic.
Answer:
Step-by-step explanation:
we are given two <u>coincident</u><u> points</u>
since they are coincident points
By order pair we obtain:
now we end up with a simultaneous equation as we have two variables
to figure out the simultaneous equation we can consider using <u>substitution</u><u> method</u>
to do so, make a the subject of the equation.therefore from the second equation we acquire:
now substitute:
distribute:
collect like terms:
rearrange:
by <em>Pythagorean</em><em> theorem</em> we obtain:
cancel 4 from both sides:
move right hand side expression to left hand side and change its sign:
factor out sin:
factor out 2:
group:
factor out -1:
divide both sides by -1:
by <em>Zero</em><em> product</em><em> </em><em>property</em> we acquire:
cancel 2 from the first equation and add 1 to the second equation since -1≤sinθ≤1 the first equation is false for any value of theta
divide both sides by 2:
by unit circle we get:
so when θ is 60° a is:
recall unit circle:
simplify which yields:
when θ is 300°
remember unit circle:
simplify which yields:
and we are done!
disclaimer: also refer the attachment I did it first before answering the question