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.
Answer:
The area of this triangle is.. 
Step-by-step explanation:
6 x 10 divided by 2 = 30
Answer:
I have known a man who uses math in their job/career to do problem solving. I have kind of discussed him about the dynamics of his job in terms of utilizing his math knowledge.
Step-by-step explanation:
I have known a man who uses math in their job/career. I have kind of discussed him about the dynamics of his job in terms of utilizing his math knowledge.
He mentioned that he normally does a lot of problem solving tasks on a regular basis as he likes to observe the situation logically and then solving accordingly based on critical thinking and logic.
He mentioned some of his problem solving skills using which he tends to do a lot of problem solving tasks. These problem skills are as follows:
- Understanding the logic and implementing it
- Logical calculations to solve the problem
Keywords: problem solving, communication, observation
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The ratio of the areas is 340/1158 = 170/579thus the ratio of the side lengths is sqrt(170)/sqrt(579) = .5418the ratio of volumes is the side length ratio cubed = .5418^3 = .159Volume of smaller solid = (.159)(1712) = 272.37
