The last one (0, -3) because it doesn’t move to the left/right, only up/ down.
Let the sides of the polygon (which is a triangle, by the way) be x, y and z. The sum of x, y and z is the perimeter of the original poly, and this equals 18 cm.
Letting f be the scale factor, f(18 cm) = 12 cm. Then f=2/3.
The dilation reduces the size of the polygon by a factor of 1/3, producing a similar polygon which is 2/3 the size of the original one.
In each case we have 3 side lengths but no angles. We can use Heron's formula to obtain the area in each case. Look up Heron's formula. In one version of this formula, p is half the actual perimeter, meaning that p is 18 cm / 2 for the first triangle and 12 cm / 2 for the second.
The area of the first triangle would be
A18 = sqrt( 9(9-x)(9-y)(9-z) )
whereas
A12 = sqrt( 6(6-x*a)(6-y*a)(6-z*a) ), where a represents the dilation factor 2/3.
Then the ratio of the areas of the 2 triangles is
sqrt( 6(6-x*a)(6-y*a)(6-z*a) )
---------------------------------------
sqrt( 9(9-x)(9-y)(9-z) )
Answer:
B. $1.92
Step-by-step explanation:
24*0.08(8% as a decimal)= 1.92
Answer: It would be cheaper to by the 120 ounce, instead of two 64 ounces.
Step-by-step explanation:
That’s because it would be $6.64, for two 64 ounces. $5.90 is cheaper than $6.64. Therefore it would be cheaper to get the 120 ounce.
7. If each sister has one brother, it would be one brother total, because they are all related. They don't each have their own brother. So mom+dad+sisters(4)+brother=7 total.
hope this helped :)
