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
Decimal: 32.5
Fraction 65/2
C (1,8) and (4,5). To interpret a system of equations when shown a graph, look for the points at which the two function intersect or meet. in this case they meet at both points (1,8) and (4,5)
<h3>
Answer: 30.78181 meters</h3>
The value is approximate. Round that however you need to.
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Explanation:
- lowercase a = side opposite angle uppercase A
- lowercase b = side opposite angle uppercase B
- b = AC
Using the law of sines, we can say:
a/sin(A) = b/sin(B)
45/sin(30) = b/sin(20)
b/sin(20) = 45/sin(30)
b = sin(20)*45/sin(30)
b = 30.78181 approximately
You'll need to make sure your calculator is in degree mode.
