11. Jesus earns $3000 over the summer. He
1 answer:
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Answer:
Decimal 0.333 to a fraction in simplest form is:
Step-by-step explanation:
Given the decimal
Multiply and divide by 10 for every number after the decimal point.
There are three digits to the right of the decimal point, therefore multiply and divide by 1000.
Thus,
∵ 0.333×1000 = 333
Let us check if we can reduce the fraction
For this, we need to find a common factor of 333 and 1000 in order to cancel it out.
But, first, we need to find the Greatest Common Divisor (GCD) of 333, 1000
<u>Greatest Common Divisor (GCD) : </u>
The GCD of a, b is the largest positive number that divides both a and b without a remainder.
Prime Factorization of 333: 3 · 3 · 37
Prime Factorization of 1000: 2 · 2 · 2 · 5 · 5 · 5
As there is no common factor for 333 and 1000, therefore, the GCD is 1.
Important Tip:
- As GCD is 1, therefore the fraction can not be simplified.
Therefore, decimal 0.333 to a fraction in simplest form is:
Answer:
A = 119 units²
Step-by-step explanation:
side of square is (12√2)sin45 = 12
The portion of the diagonal that is NOT octagon is
12√2 - 12
There are four corner triangles. The sum of their areas is
(12√2 - 12)²
Area of the octagon is area of the square minus four corner triangle areas.
A = 12² - (12√2 - 12)²
A = 119.2935...
