0.16 (6 repeating) as a simplified fraction
1 answer:
Answer:
Step-by-step explanation:
We require to create 2 equations with the repeating digit (6) after the decimal point.
let x = 0.166.... ( multiply both sides by 10 and 100 )
10x = 1.66.... → (1)
100x = 16.66..... → (2)
Subtract (1) from (2) eliminating the repeating decimal
90x = 15 ( divide both sides by 90 )
x = =
Thus
0.166...... =
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17c - 5c -3 + 5 Do -3 + 5
17c - 5c + 2 Pretend the c isn't there and do 17 - 5
12c + 2
For the second expression, pretend the b isn't there and do -12 + 10
8b -2b Now, do 8 - 2
6b
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20 - (6 + 2) Add 6 and 2
20 - 8 Subtract
12
So, the base of the triangle is 12cm. The side of the rectangle tells you that the height of the triangle is 9cm. If you plug those numbers into the triangle area formula, you can find the area of the triangle.
1/2 (b x h) Plug in the numbers ( b = 12 , h = 9)
1/2 (12 x 9) Multiply 12 and 9
1/2 (108) Find half of 180
54
The are of the triangle is 54
l x w Plug in the values (l = 9 , w = 20)
9 x 20 Multiply
180
Now, subtract the area of the triangle (54) from the area of the rectangle (180).
180 - 54 Subtract
126
The area of the shaded region is 126