Answer:
1900M
Step-by-step explanation:
If the athlete runs round a rectangular park, the distance covered can be determined by calculating the perimeter of the park
Perimeter of a rectangle = 2 x (length + width)
2 x (60 + 35) = 190m
Since he run rounds 10 times, the total distance covered = 190m x 10 = 1900m
Answer:C
Step-by-step explanation:
1. X=5
2. I think I’m not sure is - 5.04
Answer:
Reflected across x-axis followed by a dilation with a scale factor of 2 about the origin.
Step-by-step explanation:
It's clear from the graph,
Polygon ABCDE is reflected across x-axis then dilated so that it overlaps polygon A'B'C'D'E'
Let's choose a point A having coordinates (-2, -1)
By reflecting point A across x-axis,
Rule to be followed for the reflection,
(x, y) → (x, -y)
By this rule, coordinates of the image point A will be,
A(-2, -1) → A"(-2, 1)
Now point A"(-2, 1) has been dilated by a scale factor = k to form an image points A'(-4, 2).
Rule for the dilation of a point about the origin is,
A"(x, y) → A'(kx, ky)
A"(-2, 1) → A'(-2k, k)
Since, coordinates of point A' are (-4, -2),
Therefore, -2k = -4
k = 2
k = 2
Hence, polygon ABCDE was reflected across x-axis followed by a dilation with a scale factor of 2 about the origin to form polygon A'B'C'D'E'.
First, you have to do some factorization
60 = {1,2,3,4,5,6,10,12,15,20,30,60}
72 = {1,2,3,4,6,8,9,12,18,24,36,72}
the GCF is 12
now we find the number that you multiply by 12 to get 60 and another number to get 72.
12 x 5 = 60
12 x 6 = 72
now we notice if you add 60 + 72, we can now tell that it also equals (12)(5)+(12)(6)= 12(5+6)