We want to find the perimeter of the given figure. We will find that the perimeter of the figure is 35.7 units.
Remember that for a circle of diameter D, the perimeter or circumference is:
p = pi*D
where pi = 3.14
So we have a half-circle and an equilateral triangle, and we know that the equilateral triangle sides measure 10 units each.
Notice that the diameter of the half-circle is equal to the side length of the triangle, then the diameter is D = 10
Then the length of the arc of the half-circle is just given as half the circumference of a circle with a diameter of 10 units, this is:
C = (1/2)*3.14*10 = 15.7
And to this we must add the two sides of the triangle that belong to the perimeter, remember that each one measures 10 units, then the total perimeter is:
Perimeter = 15.7 + 10 + 10 = 35.7
If you want to learn more, you can read:
brainly.com/question/9350935
Answer:
(-y, x)
Step-by-step explanation:
See the image attached.
We start with (x,y), this is, x in the abscissa axis and y in the ordinates axis. When we rotate it 90 degrees clock wise, the measure on the ordinates goes to the abscissa while the abscissa goes to the ordinates. You have to notice that this last movement is to the negative part of the ordinate axis. Here we pass from (x, y) to (y, -x).
Then you rotate again, going to a 180 degrees rotation in total. The movement is the same: ordinates values go to the abscissa value. So, the -x that was on ordinates goes to the abscissa and the y in the abscissa goes to ordinates. However this last movement implies a negative sign in the y value, as we are going from positive to negative values. So, we pass from (y, -x) yo (-x, -y).
Finally we move again for reaching the 270 degrees rotation. Similar to the last 2 movements, -x passes from abscissa to ordinates and becoming x as we the sign is positive. In the same way, the -y in the ordinates goes to the abscissa and still being -y as we still on negative values. So, we finish with (-y, x).
So, this is the final answer: (-y, x)
Here I also attach a numerical example.
answer: Abdul spent $21.70 on video games and $12.60 on DVD's.
Step-by-step explanation:
Answer:
92.99
Step-by-step explanation:
Step-by-step explanation:
everything can be found in the picture