First, lets figure out how many pencils we will need. so we can do that by 4 pencils x 28 children and we get 112. Then if there are 8 pencils in a package, we divide 112 by 8 and get 14
Step-by-step explanation:
that means the center of the circle is exactly in the middle between the 2 points.
and since both points have the same x value (so, the diameter here is a vertical line), it is ready to get the y value of the middle : (-7 - 0) / 2 = -3.5
so, the coordinates of the center are (3, -3.5).
and that makes the standard circle equation
(x - h)² + (y - k)² = r²
to
(x - 3)² + (y + 3.5)² = 3.5² = 12.25
as h, k are the coordinates of the center, and r is the radius (half the diameter).
La of sine:
sinC/c = sinB/b==> sin 37°/8 = sin B/12 ==> sin B = 0.903
arcsinB or sin⁻¹ B = 64.5°, & sin (B°) = sin (180° - B°), then
sin(64.5) = sin(180°-64.5°) ==> B = 64.5° or 115.5°