Answer:
<h2>
3x = 18</h2>
Step-by-step explanation:
Use the Pythagorean Theorem here:
30² = (3x)² + (4x)², or:
30² = 9x² + 16x² = 25x²
Taking the square root of both sides, we get √(30)² = √(25x²), or:
30 = ± 5x
Neglect -5x, since we are measuring distances, and distances are positive.
Then 5x = 30, and so x = 6
Thus, 3x = 3(6) = 18
Answer:
Cartesian plane: This is a particular case of a coordinate plane, such that we have two (or more) perpendicular axes, and usually is used for rectangular coordinates.
Two-dimensional: A coordinate plane can be two-dimensional, some examples are polar coordinates, where the coordinates are the radius and the angle, or rectangular coordinates, where the variables are x and y.
Three-dimensional: Similar to before, a coordinate plane can be three-dimensional in several ways, like in spherical coordinates or cylindrical coordinates.
Extends forever: The axes in a rectangular coordinate plane extend forever, so this description also works.
Perpendicular axes: In some cases, like in rectangular coordinates, the axes are perpendicular, (but not always) so this can also be used.
Parallel axes: As each axis is measured along its length, having two parallel axes will be useless (as we could use only one axis instead of two) so this is the only one that would not apply to a coordinate axis.
Answer:
Step-by-step explanation:
we know that
In the right triangle ABC of the figure
Applying the Pythagoras Theorem
substitute the given values
Solve for c
