Answer:
The answer is 653.45
Step-by-step explanation:
Usually, you CAN'T turn a fraction into a whole number.
You can ONLY do it when the top number is a multiple
of the bottom number. Otherwise, it's not possible.
IF the top number is a multiple of the bottom number,
then take the bottom number, and divide both the top
and the bottom of the fraction by it. Then the top number
will be the whole number that's equal to the original fraction.
Examples:
12 / 5 . 12 is not a multiple of 5 , so there is
NO whole number that's equal to 12/5 .
5 / 12 . Same thing. 5 is not a multiple of 12 .
12 / 3 . 12 is a multiple of 3 .
Divide top and bottom by 3 .
Then you have 4 / 1 .
4 is the same as 12/3 .
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:
5 x 1 1/4 = 6 1/4
Step-by-step explanation: Please brainliest!
So let's get k on one side:
2k = 2
Divide by 2:
k = 1
If you want to check your work:
1 + 1 = 3 - 1
2 = 2
