Answer:
28.28(simplified from 28.2743338834)
Step-by-step explanation:
area of sector= (center angle/360)*area of circle
we are already given the area of sector as 3/2pi
so
3/2pi=(60/360)*x
(x is area of circle)
3/2pi=4.71238898038
4.71238898038=1/6x
divide both sides by "1/6"
28.2743338834=x
hope this helps!
Answer:
(x, y) ----> (-x, y).
Step-by-step explanation:
(x, y) ----> (-x, y).
The y value stays the same but the x-value changes sign.
Answer: B) w(4+w)=12
Step-by-step explanation: Because the formula for area is length times width, the expression used to find it would by w•l. If L=4+W, the equation for area in this question is w(4+w)=12
7th person that walked in would be 66 years old
Answer/Step-by-step explanation:
✔️Using trigonometric ratio, find b:
Reference angle = 45
opposite = 8
Hypotenuse = b
Thus,
Sin(45) = 8/b
b = 8/sin(45)
b = 8/(1/√2) (sin 45 = 1/√2)
b = 8 × √2/1
b = 8√2
✔️Find a using trigonometric ratio:
Reference angle = 60°
Hypotenuse = b = 8√2
Adjacent = a
Therefore,
Cos(60) = a/8√2
8√2*cos(60) = a
8√2*½ = a
4√2 = a
a = 4√2
✔️Find c using Pythagorean Theorem:
c² = b² - a²
c² = (8√2)² - (4√2)²
c² = 128 - 32
c² = 96
c = √96
c = √(16*6)
c = 4√6