Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Step 1
Find the length of MD
we know that
The incenter is the intersection of the angle bisectors of the three vertices of the triangle. Is the point forming the origin of a circle inscribed inside the triangle
so
In this problem
------> is the radius of a circle inscribed inside the triangle
we have that
therefore
Step 2
Find the length of DC
we know that
In the right triangle MDC
Applying the Pythagoras theorem
we have
substitute
<span>1st piece: x feet
2nd piece: 8-x feet
--------------------------
Use the "x" piece to form a circle:
Circumference = "x".
2(pi)*radius = x
radius = x/(2pi)
So, Area = pi[x/(2)]^2 = x^2/(4pi) = (1/4pi)x^2
=========================================================
Use the 10-x piece to form square:
side = (1/4pi)(10-x)
Area = side^2 = (1/16)(10-x)^2
Hope this helps! :)</span>
Answer:
The graph of the line in the attached figure
Step-by-step explanation:
we have
This is the equation of a line into point slope form
The slope is 
The line pass through the point (-6,-7)
To graph the line find the y-intercept
Remember that
The y-intercept of the line is the value of y when the value of x is equal to zero
so
For x=0
The y-intercept is the point (0,-3)
with the point (-6,-7) and (0,-3) plot the line
see the attached figure
W=-3m+205
m=number of months
205= weight at first to start the diet
w=weight
a)
m=0
so;
w=-3(0)+205=205
Answer: Chris weight at the start of the diet 205 pounds
b)
W=-3m+205
The weight lost each month is the number beside "m", in this case is -3 pounds
Answer: Chris lose 3 pounds per month
c)
w=205-45=160
so
160=-3m+205
-3m+205=160
-3m=160-205
-3m=-45
m=-45/-3=15
Answer: 15 months.
I=prt
9.90=p (.06)(3)
9.90=p(.18)
9.90/.18=p.18/.18
55=p
I put in $55 into the account when I opened it.
