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This question is incomplete, the complete question is;
For what value of a is the volume of the tetrahedron formed by the coordinate planes and the plane (x/a) + (y/10) + (z/6) = 1 equal to 10?
Answer: the value of a is 1
Step-by-step explanation:
Given that;
Volume of tetrahedron bounded by plane (x/a) + (y/10) + (z/6) = 1
and coordinate plane is; V = 1/6|abc|
(x/a) + (y/10) + (z/6) = 1
volume = 10
so
10 = 1/6 | a × 10 × 6 |
60 = a × 10 × 6
60 = 60a
a = 60 / 60
a = 1
Therefore the value of a is 1
Our current equation is:
2.5x -3.67 = 1.52.
To solve for x, we need to get x by itself and then simplify what we can from there.
2.5x -3.67 = 1.52
Add 3.67 to both sides to get 2.5x by itself.
2.5x = 5.19 is now our new equation.
Divide both sides by 2.5 to get x.
5.19/2.5 = 2.07
x = 2.07
I hope this helps!