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ladessa [460]
3 years ago
14

the volume of a sphere is 950 cubic inches. Use the formula for the volume of a sphere to find the radius to the nearest tenth o

f an inch
Mathematics
1 answer:
pashok25 [27]3 years ago
3 0
Volume of a sphere=(4/3)πr³    ⇒r=∛(3v/4π)
volume of a sphere=950 in³
Therefore: 
r=∛(3*950 in³/4π)=6.09834... in≈6.1 in

answer: radius=6.1 in

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\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

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\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
Plz help me to answer
IgorLugansk [536]

22/3 sorry I accidentally deleted steps

8 0
2 years ago
What is the slope of the line that passes through the points (6, -2)(6,−2) and (12, -2) ?(12,−2)? Write your answer in simplest
Lynna [10]

Slope of the line is 0

Step-by-step explanation:

  • Step 1: Given points are (6, -2) and (12, -2). Find the slope of the line using the formula m = (y2 - y1)/(x2 - x1) Here, y1 = -2, y2 = -2, x1 = 6 and x2 = 12

⇒ m = (-2 - -2)/(12 - 6) = 0/6 = 0

8 0
3 years ago
1/3x plus 3/4 plus 2/3x -1/4-2/3x please help :(
AnnyKZ [126]

Answer:

1/3 x  + 1/2

Step-by-step explanation:

combine like terms   the two opposites cancel out  2/3 and -2/3

1/3x + 3/4 -1/4            3/4 -14 = 12

13x + 1/2  (answer)

5 0
3 years ago
A line has a slope of -1/3 and includes the points (q, 2) and (6, 3). What is the value of q?
elena55 [62]

Answer:

9

Step-by-step explanation:

Given the knowledge that the slope is -1/3 and includes the point (6,3), you can subtract one from the y value and add three to the x value, resulting in (9,2). Q is equal to 9.

3 0
3 years ago
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