Answer:
$1105.5
Step-by-step explanation:
825 X 0.34 =280.5
The 0.34 is the 34%
280.5 is what was discounted.
Then add 280.5 to 825 and that adds up to 1105.5
Equation of Sphere = + + - 18x - 4/3y +10z + 142/3 = 0
Data Given:
P = (x,y,z)
Distance from P to A (-3,6,3) = Twice the distance from P to B(6,2,-3)
Solution:
Find the equation of the sphere:
It is given that:
PA = 2PB
Squaring both sides:
+ + = 4 x + +
Solving the above equation:
+ + = 4 x { + + }
+ 9 + 6x + + 36 - 12y + + 9 - 6z = 4 { + 36 - 12x + + 4 - 4y + + 9 + 6z}
+ 9 + 6x + + 36 - 12y + + 9 - 6z = 4 + 144 - 48x +4 + 16 - 16y + 4 + 36 + 24z
Putting the right hand side = 0 and solving the equation:
- 4 + - 4 + - 4 + 6x + 48x - 12y +16y -6z - 24z + 9 + 36 + 9 -144 - 16 - 36 = 0
-3 - 3 -3 + 54x + 4y -30z -142 = 0
Taking (-) common
- ( 3 + 3 + 3 - 54x - 4y +30z + 142) = 0
3 + 3 + 3 - 54x - 4y +30z + 142 = 0
dividing the whole equation by 3
+ + - 54/3x - 4/3y +30/3z + 142/3 = 0
+ + - 18x - 4/3y +10z + 142/3 = 0
38
To find the value of f(6), we substitute the value 6 where x is into the function. You would get:
7(6) - 4
42 - 4
f(6) = 38
Triangle WXY is a right angle triangle.
From the given right angle triangle
WY represents the hypotenuse of the right angle triangle.
With ∠W as the reference angle,
WX represents the adjacent side of the right angle triangle.
XY represents the opposite side of the right angle triangle.
To determine WY, we would apply the Sine trigonometric ratio
Sin θ = opposite side/hypotenuse. Therefore,
Sin 36 = 5/WY
WY = 5/Sin36 = 5/0.5878
WY = 8.5 to the nearest tenth