Answer: 4 for the first one and 4.25
Explanation:
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The order of division determines the numerator and the denominator and this can effect the value. And example of this:
3/2 = 1.5
2/3 = 0.6667
Whereas, multiplication is not affected by the order:
2 x 3 = 6
3 x 2 = 6
Step-by-step explanation:
-x² + 2x + 48
-x² - 6x + 8x + 48
-x( x + 6 ) + 8( x + 6)
( x + 6 ) ( -x + 8 )
Answer:
x < 0
Step-by-step explanation:
Firstly put the values with variable x to one side,
; -12 - x > -12 + 4x
; -12 + 12 > 4x + x
; 0 > 5x
then divide both sides by 5,
; (0 ÷ 5) > (5x ÷ 5)
; 0 > x
; Hence the solution to the inequality above,
; x < 0...always remember to reverse the sign when you change the side to which you put the variable of x,
Therefore...( x < 0 )
9514 1404 393
Answer:
A. 53.5cm^2
Step-by-step explanation:
The area of the circle is ...
A = πr²
A = 3.14(5 cm)² = 78.5 cm²
The area of the triangle is ...
A = 1/2bh
A = 1/2(10 cm)(5 cm) = 25 cm²
The shaded area is the difference between the circle area and the triangle area:
shaded = 78.5 cm² -25 cm² = 53.5 cm²
_____
<em>Additional comment</em>
As with many multiple-choice questions, you can simply pick the answer that is not outlandish. The circle will fit into a square that is 10 cm on a side, so its total area is less than 100 cm² (eliminates choice B).
The shaded area is definitely more than 1/4 of that 100 cm² square, so choices C and D are eliminated, too. The only choice that is not unreasonable is choice A.
