The answer is 1/2. 1/5 is equal to 2/10, and 2/10 + 3/10 = 5/10. 5/10 is equal to 1/2 in simpelst form.
Answer:
The answet is C.
Step-by-step explanation:
First, you have to find the angle of ACB using Sine Rule, sinθ = opposite/hypotenuse :
Given that line AB is parallel to line CD so ∠C = 90°. Next, you have to find the angle of ACD :
Lastly, you can find the length of CD using Cosine rule, cosθ = adjacent/hypotenuse :
Answer:
area of shaded portion = 226.09 m²
Step-by-step explanation:
area of circle = πr² = (3.14)(18.6²) = 1086.314 m²
area of 123° segment = (123/360)(1086.314) = 371.157 m²
cos 61.5° = height/18.6 = 8.875
height of triangle = 8.875 m
sin 61.5° = 1/2base/18.6 = 16.346, base = 32.692 m
base of triangle = 32.692 m
area of triangle = 1/2bh = 1/2(8.875)(32.692) = 145.071 m²
area of shaded portion = 371.157 - 145.071 = 226.09 m²
B B B B B B B B B B B B B B B B B
Answer:
Amplitude: 4
Period: π
midline: y = 1
Step-by-step explanation:
r(x) = -4 sin(2x) + 1
r(x) = a sin(bx + c) + d where |a| is the amplitude and |b| for the period
a = -4 |a| = 4 : Amplitude = <u>4</u>
b = 2 |b| = 2 period of sin(x) = 2π
period of sin(bx + c) = 2π/|b| = 2π/2 = <u>π</u>
range of sin(2x) ... -1 ≤ sin(2x) ≤ 1
range of -4 sin(2x) + 1: -4+1 ≤ -4 sin(2x) + 1 ≤ 4+1
-3 ≤ -4 sin(2x) + 1 ≤ 5
midline: y = (-3 + 5) / 2 = 1 y = 1
