Divide. −2 4/7 Enter your answer as a mixed number, in simplified form, in the box.
1 answer:
Answer:
-3
Explanation:
= -3
So first make the improper fraction into a mixed number by taking out all the whole numbers from the numerator (3) and making sure the proper sign is in front of the answer (- 3) your remainder is the original numerator minus the product of the answer times the denominator: 24 - (3 • 7) = 24 - 21 = 3. Rewrite the mixed number.
-3
Explanation:
So first make the improper fraction into a mixed number by taking out all the whole numbers from the numerator (3) and making sure the proper sign is in front of the answer (- 3) your remainder is the original numerator minus the product of the answer times the denominator: 24 - (3 • 7) = 24 - 21 = 3. Rewrite the mixed number.
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Step-by-step explanation:
OPQ originally forms a sector, the formula for sector is
where x is the degrees of rotation between the two radii.
We know three sides length and is trying to find an angle between the radii so we can use law of cosines which states that
This isn't the standard formula, it's for this problem
So we found our angle of rotation, which is 106.26
Now, we do the sector formula.
is the area of sector.
Now let find the area of triangle, we can use Heron formula,
The area of a triangle is
where s is the semi-perimeter.
To find s, add all the side lengths up, 10,10,16 and divide it by 2.
Which is
So our area of the triangle is 48. Now, to find the shaded area subtract the main area,( the sector of the circle) by the area of the triangle so we get
Which is an approximate or
44.73