Answer: 15 - 2w 1.5, w 6.75
Step-by-step explanation: tHiS aNsWeR sEeMeD tHe MoSt PrAcTiCaL.
i HoPe ThIs HeLpEd!
Tangency is when a line is fully outside the circle and touches it in one place.
The point of tangency would be point H
<h3>Given</h3>
a cuboid with length, width, height dimensions 5, 6, x
<h3>Find</h3>
the value of x that makes the numerical value of the total surface area equal to the numerical value of the volume
<h3>Solution</h3>
The volume is given by
... V = L·W·H = 5·6·x = 30x
The area is given by
... A = 2(L·W + H(L+W)) = 2(5·6 +x(5+6)) = 2(30 +11x) = 60 +22x
When these are equal, we have
... 30x = 60 +22x
... 8x = 60
... x = 7.5
The desired value of x is 7.5.
Answer:
a) 20 units
b) 2 √10 units
c) 2 √17 units
Step-by-step explanation:
The distance formula is;
D = √(y2-y1)^2 + (x2-x1)^2
a) D = √(-7-9)^2 + (-7-5)^2
D = √256 + 144
D = √400
D = 20
b) D = √(10-8)^2 + (9-2)^2
D = √(2)^2 + 6^2
D = √4 + 36)
D = √40
D = 2 √10 units
c) D = √(1 + 7)^2 + (-8+10)^2
D = √(64 + 4)
D = √68
D = 2 √17 units
