Answer:
Denote the center of circle as O, the 2 endpoints of shaded segment as AB, then we have:
section OAB area = pi x radius^2 x (120/360) = pi x 6^2 x (1/3) = 37.7 (cm2)
Considering triangle OAB, we have OA = OB = radius, angle AOB = 120 deg. Denote OH as the height of triangle. H lies on AB.
=> Applying cosine and sine theorem in right triangle AHO:
OH = OA x cos 60 = 6 x (1/2) = 3 (cm)
AH = OA x sin 60 = 6 x (sqrt3)/2 = 5.2 (cm)
=> triangle AOB area:
A = triangle AOH area x 2
= AH x OH x (1/2) x 2 = 3 x 5.2 x (1/2) x 2 = 15.6 (cm2)
=> shaded segment area = section OAB area - triangle AOB
= 37.7 - 15.6 = ~21.1 (cm2)
Hope this helps!
:)
Answer:
Option D.
Step-by-step explanation:
The give figure is a triangle having hypotenuse h = 40 in.
Now we have to select the scaled figure having dimensions with a scale factor of 
For option A.
Ratio of hypotenuse of both the triangles =

Therefore,this option is not correct
For option B.
Ratio of both the hypotenuse = 
So, option is not correct.
For option C.
Ratio of hypotenuse = 
Therefore, option is not the correct option.
For option D.
Ratio of hypotenuse = 
Therefore, option D is the correct option.
Answer:
13 u²
Step-by-step explanation:
Answer:



Step-by-step explanation:
Given

See comment for complete question
Required
The number of decimal places
To do this, we simply calculate the number of digits after the decimal points


The product is the sum of the digits above 2 + 1 = 3
Hence:
