Step-by-step explanation:
First find 28% of $19.50:
($19.50) / (100) × (28) = $5.46
Now minus the 285 from the original price:
($19.50) - ($5.46) = $14.04
The answer is $14.04
Hope it helped :)
<u>Given</u>:
The graph shows the speed of a ball in free fall for 10 seconds.
We need to determine the constant of proportionality for the given graph.
<u>Constant of proportionality:</u>
The constant of proportionality can be determined using the formula,

Where k is the constant of proportionality.
Let us consider any of the coordinate from the graph and substitute in the formula.
Consider the coordinate (4,40) and substitute in the above formula.
Thus, we have;


Thus, the constant of proportionality is 10 meters per second squared.
Answer:
2. 
3.
- definition of perpendicular
4.
- all right angles are congruent
6.
7.
Step-by-step explanation:
<u>Given: </u>Point P is the perpendicular bisector of AB
<u>Prove: </u>P is equidistant from the endpoints AB
<u>Proof.</u>
1. Point P is on the perpendicular bisector of AB - given
2.
- definition of bisector
3.
- definition of perpendicular
4.
- all right angles are congruent
5.
- reflexive property of congruence
6.
- SAS congruency postulate
7.
- corresponding parts of congruent triangles are congruent
8. Point P is equidistant from the endpoints of AB - definition of equidistant
greg score = x
kara score = 3/4x-1
x + 3/4x-1 = 153
1 3/4x -1 = 153
1 3/4x = 154
x = 154 / 1 3/4 = 88
gregs score was 88
kara s score was 153 -88 = 65
If P has Cartesian coordinates (7, pi/3), then its Polar coordinates are (square root of ((7)^2 + (pi/3)^2) , arcton (pi/21))
<u>Explanation</u>:
The given coordinates (
7
, π
/3
) look as if they are already in polar form (radius = 7
, and angle = π/3).
but in case (
7
, π
/3
) really are Cartesian coordinates (i.e. (
x
,
y
) =
(
7
, π/3
)
)
The radius is given by √(
x /2 + y/
2) and the angle by the arctan (
y
,x
).