Answer:
6000 square millimeters
Step-by-step explanation:
Side length of the slanting side can be calculated using the Pythagorean theorem,
L = sqrt(30^2+40^2) = 50
sufrace area of a triangular prism
= surface area of the end sections + the surface area of the three side faces
= 2*(30*40/2) + 40*(30+40+50)
= 1200 + 4800
= 6000 mm^2
Answer:
a-6
Step-by-step explanation:
Answer:
x = 5
Step-by-step explanation:
Using the tangent ratio and the exact value
tan60° =
, then
tan60° =
=
=
( multiply both sides by 5 to clear the fraction )
x = 5
Answer:
y is NOT a function.
Step-by-step explanation:
The equation given to us is:
x² + 3y² = 3
Rearrange the equation:
3y² = 3 - x²
y² = (3 - x²)/3
y² = 1 - (x²)/3
y = ±√(1 - x²/3)
For any equation to be a function, there should be only one output for one input. Which means that for any value of x, there should be only one value of y. However, in this equation, as the underroot gives two values of any terms under it, it shows that if we put any value of x, we'll get 2 values of y. Therefore, y is not a function.