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Arada [10]
3 years ago
13

Which expression is a SUM? A) 5(2 + 3) B) 8 x (6 + 3) C) 5(2) + 2(6 ÷ 3) D) (5 + 2) ÷ (2 + 3)

Mathematics
1 answer:
vodomira [7]3 years ago
8 0
Consider the order of operations. When the last operation to be performed is addition or subtraction, the expression is a sum. The appropriate choice is 
   <span>C) 5(2) + 2(6 ÷ 3)

_____
This is evaluated as
   10 + 2·2
   10 + 4 . . . . . . . the last operation to be performed is addition</span>
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Kayla spent half of her weekly allowance on clothes. To earn more money her parents let her clean the oven for $4. What is her w
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5 0
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Read 2 more answers
Solve 2cos ²y -siny -1=0 for 0° ≤y≤360°
natima [27]

 

\displaystyle\bf\\2cos^2y -sin\,y -1=0~~~for~~0^o\leq y \leq360^o\\\\cos^2y=1-sin^2y\\\\2(1-sin^2y) -sin\,y -1=0\\\\2-2sin^2y-sin\,y-1=0\\\\-2sin^2y-sin\,y+2-1=0\\\\-2sin^2y-sin\,y+1=0~~~\Big|\times(-1)\\\\2sin^2y+sin\,y-1=0

.

\displaystyle\bf\\\boxed{\bf sin\,y=x}\\\\2x^2+x-1=0\\\\x_{12}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-1\pm\sqrt{1-4\cdot2\cdot(-1)}}{2\cdot2}=\\\\=\frac{-1\pm\sqrt{1+8}}{4}=\frac{-1\pm\sqrt{9}}{4}=\frac{-1\pm3}{4}\\\\x_1=\frac{-1+3}{4}=\frac{2}{4}=\boxed{\bf\frac{1}{2}}\\\\x_2=\frac{-1-3}{4}=\frac{-4}{4}=\boxed{\bf-1}\\\\sin\,y=\frac{1}{2}\\\\\boxed{\bf y_1=\frac{\pi}{6}~~or~~(30^o)}\\\\\boxed{\bf y_2=\frac{5\pi}{6}~~or~~(150^o)}\\\\sin\,y=-1\\\\\boxed{\bf y_3=\frac{3\pi}{2}~~or~~(270^o)}

 

 

5 0
3 years ago
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