Initially, the point (-3,4) is in the second quadrant of the cartesian plane. If the rotation is about point (-3,0) at 90 degrees, you find a point that when connected to (-3,4) makes two lines perpendicular to each other. Since the direction is counterclockwise, you move 3 points to the left, then 4 points down. That would be (-7,0). The answer is A.
Answer:
Yes
Step-by-step explanation:
Hi there,
Yes, the definition of a rectangle is "a plane figure with four straight sides and four right angles." A square has all of these, so by definition, a square is a rectangle.
But be careful! A square IS a rectangle but a rectangle IS NOT a square!
Hope this helps! Stay safe!
- Emily
The justification for step 3 is incorrect. It should be x = 10/8.
Hope this helps =)
Answer:
A = 32°, a = 19, b = 14, B=22.98°, C = 125.02°, c = 29.36
Step-by-step explanation:
We have two sides of the triangle and we have an angle.
A = 32 °, a = 19, b = 14
We use the sine theorem to find the angle B.
We know that according to the sine theorem it is true that:



We know that the sum of the internal angles of a triangle is always equal to 180.
So:

Finally we find the c side




Answer:
<h2>x = 5√3 inches</h2>
Step-by-step explanation:
Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x
Using Pythagoras theorem we have

where a is the hypotenuse
Substitute the values into the above formula
The hypotenuse is 10 inches
We have




We have the final answer as
<h3>x = 5√3 inches</h3>
Hope this helps you