Answer:
90 degree rotation in the clockwise direction.
Step-by-step explanation:
Point A transforms to A'
- that is x coordinate: 2 ---> 3
and y coordinate 3 ---> -2
So the rotation is clockwise from Quadrant1 to Quadrant 4.
The slope of OA = 3/2 and the slope of OA' = -2/3.
The product of these slopes = 3/2 * -2/3 = -1 so the lines are perpendicular - that is the line has passed through an angle of 90 degrees.
A similar result occurs if we consider points B, C and D.
25% = 1/4
So to get the unknown number, multiply 9 by 4:
9 × 4 = 36
Use the website Symbolab. It's helped with all of my calculus problems.
Answer:
105 feet or inches
Step-by-step explanation:
First we find the surface area of the base, (or the square.)
That is 25.
Next we find the areas of the triangle which is:
×height
The area of one triangle is 20, so we multiply it by 4.
That is 80.
Finally, we add both surface area to find the total surface area.
That is 80 + 25 = 105
Hope that helped!