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Answer:
(b) It is one-half the area of a square of side length 4 units.
Step-by-step explanation:
The triangle described can be formed by drawing the diagonal through a square 4 units on a side. Such a diagonal cuts the square cleanly in half, so the area of the triangle is half the area of the square.
First let's find out the total number of strikeouts, by adding the number of strikeouts of each person:
Now, to find the percentage of strikeouts that Samar is responsible, let's divide his number of strikeouts (5) by the total number of strikeouts (50):
So Samar is responsible for 10% of the strikeouts.
Answer:
Step-by-step explanation:
Last year
Ratio of the number of middle school students to number of high school students = 1 : 8
Total ratio = 9
Middle school = 1
High school = 8
Total students in the band = x
Middle school = 1/9x
High school = 8/9x
Total = 1/9x + 8/9x
This year
Ratio of the number of middle school students to number of high school students = 2 : 7
Total ratio = 9
Middle school = 2
High school = 7
Total students = x
Middle school = 2/9x
High school = 7/9x
Total = 2/9x + 7/9x
If there are 18 middle school students in the band this year
2/9x = 18
x = 18÷2/9
= 18 × 9/2
= 81
x = 81
Last year:
1/9x + 8/9x
= 1/9 * 81 + 8/9 * 81
= 9 + 72
= 81
This year
2/9x + 7/9x
2/9*81 + 7/9*81
= 18 + 63
=81
Change in middle school =this year - last year
= 18 - 9
= 9 (increase)
Change in high school = this year - last year
= 63 - 72
= -9 (decrease)
Given:
Consider the two points are B(2,3) and B'(-4,-6).
Center of dilation is the origin.
To find:
The scale factors of this dilation that transformed B into B'.
Solution:
If a figure dilatated by scale factor k and center of dilation is the origin, then
It means, the point after dilation is
where, k is the scale factor.
x-coordinate of image is -4 and x-coordinate of original point is 2.
Therefore, the scale factor is -2. It means, the point and image lie on the opposite sides of center of dilation.
