Answer: The required expression will be

Step-by-step explanation:
Since we have given that
Amount that Liam has = $250
Amount that he and his classmates spent on present for their teacher =$p
Number of students in which $p will split = 24
According to question,
Amount that left to Liam is given by

Hence, the required expression will be

Answer:
12.56 inches
Step-by-step explanation:
The Circumference of a circle=π*d
The Circumference of a circle=3.14*4
The Circumference of a circle=12.56 inches
YOUR WELCOME!!!,mark be brainliest.
It is a function. Every x value is different.
Since
∠CPD = x
and segment PN is the angle bisector of this angle, therefore segment PN
equally divides ∠CPD into two angles. Which means that:
∠CPN = ∠NPD = x / 2
Further,
segment PN is also the perpendicular bisector of AB which further means that
the intersection formed by PN and AB creates a right angle (90°). Therefore:
∠NPD + ∠DPB = 90°
x/2
+ ∠DPB =
90°
∠DPB =
90 – x/2
Therefore:
sin∠<span>DPB = sin(90 – x/2) which is not in the choices</span>
However we know that the
relationship of sin and cos is:
sin(π/2
- θ) = cos θ
Where,
π/2
= 90
θ =
x/2
Therefore:
sin(90 – x/2) = cos(x/2)
Answer:
<span>cos(x/2)</span>
Answer:

Step-by-step explanation:
An equation of a line is given
, where m is the gradient or 
The rise indicates the change in value of y (vertical change in the graph).
The run indicates the change in value of x (horizontal change in the graph).
Let point 1 of the graph be (x,y) = (0,-34) and point 2 be (x,y) = (20,0).
Substitute point 1 into the graph to get the constant c.



∴ The equation of the line is, 