We are given with:
Average height of plants to be at least 73 inches
Three plants with heights of
70, 71, 72
The inequality that can be used to determine the possible heights of the fourth plant is:
(70 + 71 + 72 + x) / 4 ≥ 73
Solving for x
x ≥ 79
r = 7.53 so d = 2r = 2(7.53) = 15.06 cm
Area of square = d^2 / 2 = (15.06)^2 / 2 = 113.41 cm^2
Area of circle = 3.14 (7.53)^2 = 178.04 cm^2
Area of yellow region = Area of circle - Area of square
Area of yellow region = 178.04 cm^2 - 113.41 cm^2
Area of yellow region =64.63 cm^2 = 64.6 cm^2 (nearest tenth)
Answer
64.6 cm^2
Answer:
Part A
The bearing of the point 'R' from 'S' is 225°
Part B
The bearing from R to Q is approximately 293.2°
Step-by-step explanation:
The location of the point 'Q' = 35 km due East of P
The location of the point 'S' = 15 km due West of P
The location of the 'R' = 15 km due south of 'P'
Part A
To work out the distance from 'R' to 'S', we note that the points 'R', 'S', and 'P' form a right triangle, therefore, given that the legs RP and SP are at right angles (point 'S' is due west and point 'R' is due south), we have that the side RS is the hypotenuse side and ∠RPS = 90° and given that
=
, the right triangle ΔRPS is an isosceles right triangle
∴ ∠PRS = ∠PSR = 45°
The bearing of the point 'R' from 'S' measured from the north of 'R' = 180° + 45° = 225°
Part B
∠PRQ = arctan(35/15) ≈ 66.8°
Therefore the bearing from R to Q = 270 + 90 - 66.8 ≈ 293.2°
Answer:
y = x + 1.8
Step-by-step explanation:
F(x) = g(x) for x = 1 and x = 3. Verify that for yourself.