When parentheses are around a number being squared, the output value will always be positive.
For example: -2² vs (-2)²
-2² means the <em>negative of the square of two</em>, or -4
(-2)² means the <u /><em>square of negative two</em>, or 4
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Working with fractions, you'll need to find the least common denominator (LCD). In this case, the LCD is 20.
Rewriting the four given numbers to the LCD, you would get:
10/20, 15/20, 4/20, and 14/20.
Now, you just organize it from least to greatest as:
4/20 < 10/20 < 14/20 < 15/20.
In other words, it is:
1/5 < 1/2 < 7/10 < 3/4.
<h3>
Answer: Approximately 13 square units (choice B)</h3>
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Explanation:
The given reflex angle is 215 degrees. A reflex angle is anything over 180 degrees, but less than 360. Subtract 215 from 360 to get the measure of angle AOB
angle AOB = 360 - 215 = 145
angle AOB = 145 degrees
We'll use this later.
Now find the area of the full circle. Use the formula A = pi*r^2. The radius is r = sqrt(10) which can be found through the distance formula or the pythagorean theorem. You want to find the length of either OA or OB to get the radius.
The area of the circle is
A = pi*r^2
A = pi*(sqrt(10))^2
A = 10pi
This is the exact area of the full circle, but we want just a fractional portion of it. Specifically we want the pie slice that is formed by angle AOB
area of sector AOB = [ (angle AOB)/360 ] * (area of full circle)
area of sector AOB = (145/360)*10pi
area of sector AOB = 145pi/36
area of sector AOB = 145*3.14/36
area of sector AOB = 12.647 approximately
area of sector AOB = 13 square units approximately, after rounding to the nearest whole number
Answer:
The brownies will be a little thicker in a 9 x 13” pan. 8 x 8= 64 square inches, doubled that's 128. 9 x 13= 117
Step-by-step explanation:
