Answer:
Step-by-step explanation:
The swing of the tip of pendulum is creating an arc. The question is actually asking for the length of this arc. The length of an arc is given by 
, where 
is the radius of the circle and 
is the angle of the arc.
In this problem, we're given:
Substituting given values, we get:
Some textbooks describe direct variation by saying " y varies directly as x ", " y varies proportionally as x ", or " y is directly proportional to x . ") This means that as x increases, y increases and as x decreases, y decreases—and that the ratio between them always stays the same.
Answer: 10
25% of 80 is 20 ( 80 x .25 = 20)
20 / 2 = 10
Answer with Step-by-step explanation:
We are given that
O(0,0),P(3,-1) and Q(2,3) on the coordinate plane.
Mark point O(0,0), P(3,-1) and Q(2,3) on the graph and then join OP,PQ and OQ.
b.We have to find OP and OQ are perpendicular or not.
Slope-formula:
By using the formula
Slope of OP=
Slope of OQ=
When two lines are perpendicular then
Slope of one line=
Slope of line OP
Hence, line OP and OQ are not perpendicular.
Answer:
The inequalities are used as:
a > b (a is greater than b)
a < b (a is smaller than b)
a ≤ b (a is smaller than or equal to b)
a ≥ b (a is greater than or equal to b)
a ≠ b (a is different than b)
Now, let's apply these for our two numbers.
-8 and -13
We know that for negative numbers, the larger absolute value means that the number is smaller, then we relate these numbers in the next 3 ways.
-8 > -13 (-8 is greater than -13)
-13 < 8 (-13 is smaller than -8)
-13 ≠ -8 (-13 is different than -8)
