Answer:
Division and subtraction.
Step-by-step explanation:
The quotient is the result of a division and 'less than is a subtraction.
<span>The area to be determined is a segment of the circle.
Since central angle is 120 degrees and 120/360 = 1/3
area of sector of circle is (1/3)*36pi = 12pi
For the area of triangle, you can split it into 2 30-60-90 right triangles with sides 3:3sqrt3:6
thus base of triangle is 6sqrt3 and height is 3
Area = 1/2 * 3* 6sqrt3 = 9sqrt3 -->
segment area = 12pi - 9sqrt3</span>
To simplify the expression stated, it is better to write it in the numerical form. The statement is:
<span>quantity 12 x plus 36 over quantity x squared minus 4 x minus 21
The numerical form is:
12x+36 / (x</span>²-4x-21)
Simplifying,
12x+36 / (x<span>²-4x-21)
</span>12 (x+3) / (x+3)(x-7)
We can cancel the x+3 term, leaving only:
12/(x-<span>7)</span>
Answer: the length of the second piece is 1 5/6 inches
Step-by-step explanation:
Mary had a link of yarn 4 1/3 inches. Converting 4 1/3 inches to improper fraction, it becomes 13/3 inches.
She cut it into two pieces for her art project. One of the pieces was 2 1/2 inches long. Converting 2 1/2 inches to improper fraction, it becomes 5/2 inches.
Therefore, the length of the second piece would be
13/3 - 5/2 = (26 - 15)/6 = 11/6 inches.
Converting to mixed fraction, it becomes
1 5/6 inches
Answer:
<h2>

</h2>
Option C is the correct option.
Step-by-step explanation:
√ 8 • √ 5
Calculate the product

Simplify the radical expression


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