9514 1404 393
Answer:
a) -1 5/14
b) -1/3
c) -1 : 10
Step-by-step explanation:
a) 1/7 - 0,5·3 = 1/7 -3/2 = (1·2 -3·7)/(7·2) = -19/14 = -1 5/14
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b) (3/4 -0,25)·(-2/3) = (3/4 -1/4)·(-2/3) = (2/4)(-2/3) = (1/2)(-2/3) = (-1·2)/(2·3) = -1/3
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c) (1 5/6 -1,2) : (-6 1/3) = (11/6 -6/5) : (-19/3) = (11·5 -6·6)/(6·5) : (-190/30)
= (19/30) : (-190/30) = -19 : 190 = -1 : 10
Answer: 10.63
Step-by-step explanation:
Using the distance formula, you insert the coordinates into their respective places. Seven minus zero equals seven, and negative two minus six is negative eight. Then you have to square those, making it equal 49 plus 64. Add them together, then square root it.
Cost of aluminum required to make a ball of radius 7.5 inches is $ 161.71
<h3><u>Solution:</u></h3>
Given that
Goran's company makes solid balls out of scrap metal for various industrial uses.
For one project, he must make aluminum balls that have a radius of 7.5 inches.
Cost of aluminum = $0.12 per cubic inches
Need to determine cost of aluminum to make one ball.
Lets first calculate the volume of one ball
As shape of the ball is sphere
, we can use volume of sphere formula

Where "r" is the raius of ball
Given that radius of required ball = 7.5 inches


So quantity of aluminum required is same as volume of ball = 1347.5833 cubic inches
Cost of aluminum for 1 cubic inch = $0.12
<em><u>So cost of aluminum required to make a ball of aluminium of 1347.5833 cubic inches is given as:</u></em>

Answer:
Step-by-step explanation
x1 = 2, y1 = -2 and m = 3/4
y - y1 = m(x - x1)
y - (-2) = 3/4(x - 2)
y + 2 = 3/4(x - 2)
Multiply each term by 4
4y + 8 = 3(x - 2)
4y + 8 = 3x - 6
4y = 3x - 6 - 8
4y = 3x - 14