There are 2 way to solve this.
one using Pythagoras theorem and 2nd using trigonometry
so lets solve it by both
using Pythagoras theorem we know
base^2 + perpendicular^2 = hypotanes^2
6^2 + x^2 = 12^2
36 + x^2 = 144
x^2 = 144- 36 = 108
x = √(108) = √( 2×2×3×3×3)
= (2×3) √ (3) = 6 √3
so answer is option 2
bow lets use trigonometry
we know
sin theta = perpendicular / hypotanes
sin 60 = x /12
x = 12 × sin 60
we kNow sin 60 = √3/ 2
so
x = 12×√3 /2 = 6√3
Answer:what are the choiese
Step-by-step explanation:
Answer:
It's the last choice.
Step-by-step explanation:
| n | ≤ 2 represents the distance between n and 0 that is less than or equal to 2. The dots on the 2 and -2 are black because the equal sign is part of the inequality.
Note the vertical lines about the n mean the absolute value of n - the positive distance between n and 0, which has a maximum of 2 either side of the 0.
For this case we have that the original point is given by:
B = (7, 2)
As the point is reflected through the x axis, then we have the following transformation:
(x, y) --------------> (x, -y) -------------> (x ', y')
Applying the transformation to the original ordered pair we have:
(7, 2) --------------> (7, - (2)) -------------> (7, -2)
Answer:
Point B 'is given by:
B '= (7, -2)
37.6 - 25.49 =
12.11
now i round
12.10