Answer:
[-3, 3]
Step-by-step explanation:
The range of <em>y = sin x</em> is the interval [-1, 1].
When you multiply the function by -3, you invert the function (symmetry with respect to the x-axis) and stretch is by a factor of 3 vertically.
The range now is [-3, 3]
<h2>
Answer:</h2>

<h2>
Step-by-step explanation:</h2>
For a better understanding of this problem, see the figure below. Our goal is to find
. Since:

and
is a common side both for ΔMRN and ΔMQN, then by SAS postulate, these two triangles are congruent and:

By Pythagorean theorem, for triangle NQP:

Applying Pythagorean theorem again, but for triangle MQN:

Answer:
A regular polygon is a polygon that is equilateral and equiangular.
The only regular quadrilateral is the square.
We know that all the interior angles of a square are 90° each, so we are fine with that.
Now, for the exterior angles.
If we fix our position in the vertex, we can do from one side, to the same side, a full rotation of 360°.
Now, if we only do an external rotation, this means, from one side to other side, we will do a rotation of 360° minus the interior angle:
this is:
360° - 90° = 270°
Below is an image as a guide of this.