Answer:
Ratio of area of triangles MNP and ABC is 1.05
Step-by-step explanation:
There are 2 triangles ABC and MNP.
We are given that ,m∠A = m∠M.
AB = 16 and AC = 10.
MN = 7 and MP = 24.
Area of a triangle ∝ Product of any two sides.
So area of triangle ABC ∝ 16
Area of triangle ABC = 160
,
where k is a constant.
So area of triangle MNP ∝ 7 
Area of triangle MNP = 168
So ratio of area of triangles = 
= 
= 1.05
Yes C is correct. hope you pass!
A= 1/2 of base times height
It should be noted that only 60% of the medicine of the previous hour is left n the patient's system every hour. Thus, the model of the scenario is,
D = 50 mg (0.6^n)
where D is the dosage at any hour n.
Using the model above with n equal to 2. D becomes 18. Therefore, only 18 mg is left in the patient's system after 2 hours.
Given:
The equation of a circle is:
To find:
Center and the circumference of the circle.
Solution:
The standard form of a circle is:
...(i)
Where, (h,k) is center and r is the radius.
We have,
...(ii)
On comparing (i) and (ii), we get
So, the center of the circle is (3,0) and the radius of the circle is 
.
Now, the circumference of the circle is:
Therefore, the circumference of the circle is about 35.5 units.
