Answer:
46 degrees.
Step-by-step explanation:
Sin(angle) = 5/7. Using a calculator, this angle is thus 45.6, or approximately 46 degrees.
9514 1404 393
Answer:
Either of ...
- (x, y) ⇒ (-x, -y)
- Rotation 180° about the origin
Step-by-step explanation:
There are at least two ways to express the transformation that maps each coordinate to its opposite.
1. reflection across the origin: (x, y) ⇒ (-x,-y)
2. rotation 180° (either direction) about the origin.
Take your pick.
Answer:
Emily is 17
Step-by-step explanation:
If Jamie is 47 and she is 4 less than 3 times older than Emily, you want to start by doing the opposite of each identifying word. Remember to work backwards. 4 less means minus 4, but you want to do the opposite so you will add 4 to 47. 47 + 4 = 51 Then if it says 3 times this mean multiplication but again, we wanna do the opposite so 51 ÷ 3 = 17
To check it Multiply 17 by 3 and then subtract 4. 17*3=51 51-4=47
If you examine the numbers in the question above very well, you will discover that thy have a distinctive pattern. The pattern is this, you add 3 to the first number and then you multiply the next by 2. Lets go over the numbers now:
6 + 3 = 9
9 * 2 = 18
18 + 3 = 21
21 * 2 = 42
42 + 3 = 45
45 * 2 = 90
90 + 3 = 93
93 * 2 = 186, etc.
Thus, the next number after 45 is 90.
