In order to find the missing variable you need to use the sine of the given angle. I attached an image with the work, hope it helps!
Answer:
1. (x,y)→(y,-x)
2. (x,y)→(-y,x)
3. (x,y)→(-x,-y)
Step-by-step explanation:
1. Rotation 90° clockwise (or 270° counterclockwise) about the origin changes x into y and y into -x, so it has the rule
(x,y)→(y,-x)
2. Rotation 90° counterclockwise (or 270° clockwise) about the origin changes x into -y and y into x, so it has the rule
(x,y)→(-y,x)
3. Rotation 180° clockwise about the origin changes x into y and y into -x, so it has the rule
(x,y)→(-x,-y)
Here you can apply rotation by 90° clockwise twice, so
(x,y)→(-y,x)→(-x,-y)
Answer:
3
Step-by-step explanation:
1. Find the area of the green block
Area = L x W x H
1/3 *1*1 = 1/3
2. Find the area of the blue block
1*1*1 =1
3.) Divide the blue area by the green area
1 ÷ 
= 3
Check : 1/3 + 1/3 + 1/3 = 3/3 3/3 = 1
3 green blocks can fit into 1 blue block
Answer:
sqrt(65)
Step-by-step explanation:
|a+bi|
The absolute value of |a+bi| = sqrt(a^2+b^2)
|4+7i| = sqrt(4^2+7^2) = sqrt(16+49) = sqrt(65)
