Angle W:
180 = 90 + 57 + W
180 = 147 + W
W = 33 degrees
Using trigonometry functions to find the side lengths. (SOH CAH TOA)
Side XZ:
cos(57) = XZ / 18
XZ = cos(57) x 18
XZ = 9.8 units
Side XW:
sin(57) = XW / 18
XW = sin(57) x 18
XW = 15.1 units
Hope this helps!! :)
Formula of the sum of the 1st nth term in a Geometric Progression:
Sum = a₁(1-rⁿ)/(1-r), where a₁ = 1st term, r = common ratio and n= rank nth of term (r≠1)
Sum = (-11)[1-(-5⁸)] /[(1-(-5)]
Sum = (-11)(1- 390625)/(6)
SUM = 716,144
Answer:
x=1/4 y=1/4
Step-by-step explanation:
They mean x-coordinate and y-coordinate
Answer:
- 16. 3/8
- 17. 1/8
- 18. 5/18
- 19. 0
- 20. 1
Step-by-step explanation:
<u>As per the spinner we have:</u>
- Green = 1/2 - 1/16 = 7/16
- Red = 1/4
- Purple = 1/8
- Orange, blue, yellow = 1/16
<u>16. P(red, yellow, blue) = ?</u>
- P = 1/4 + 1/16 + 1/16 = 3/8
<u>17. P(orange, yellow) = ?</u>
<u>18. P(green, blue, purple) = ?</u>
- P = 7/16 + 1/16 + 1/8 = 10/16 = 5/8
<u>19. P(pink) = ?</u>
<u>20. P(red, orange, yellow, green, blue, purple) = ?</u>
- P = 1 as all possible colors selected
