Answer:
Option B. 
Step-by-step explanation:
step 1
Find the central angle of the shaded sector
Remember that the diameter divide the circle into two equal parts ( 180 degrees each part)
so
Let
x -----> the measure of the central angle of the shaded sector
∠x+72°=180°
∠x=180°-72°=108°
step 2
Find the area of the circle
The area of the circle is

we have

assume

substitute


step 3
Find the area of the shaded sector
Remember that the area of the complete circle subtends a central angle of 360 degrees
so
by proportion find the area of a sector by a central angle of 108 degrees

Answer:
(x-10)(x-2)
Formula:
a^{2} - b^{2} = (a-b)(a+b)
Explanation:
(x-6)^2-4^2
Then we can simplify to, (x-6-4)(x-6+4)
Which comes to your answer, (x-10)(x-2)
Answer:
cos M = 38 / 63
Step-by-step explanation:
SOH - CAH - TOA
is how I remember the calculations,
S - sin
C - cos
T - tan
(o = opposite side ; a = adjacent side ; h = hypotenuse)
SOH would be sin = opposite/hypotenuse
CAH means cos = adjacent / hypotenuse
Okay, so looking at the angle M, we know the hypotenuse [63] and the adjacent value [38]
From this, (only having H and A), we can only find the cos of M
(without finding additional numbers, which we could do with the Pythagorean theorem)
So, the cos of M is adjacent/hypotenuse
cos M = 38 / 63
(I didn't try to find other measurements of the triangle here because the most simple measurements [that were already there] worked/was an option)