Answer:
x = 23
Step-by-step explanation:
Sum of 25 and x = 48
25 + x = 48
Subtract 25 from both sides
25 - 25 cancels out
48 - 25 = 23
We would be left with x = 23
Please, write "x^3" for "the cube of x," not "x3." "^" denotes exponentiation.
Then you have g(x) = x^3 - 5 and (I assume) h(x) = 2x - 2.
1) evaluate g(x) at x = -2: g(-2) = (-2)^3 - 5 = -8 - 5 = -13
2) let the input to h(x) be -13: h(-13) = 2(-13) - 2 = -28 (answer)
Answer:
Radius = 8 units
Length of arc AB = 8.37758 units
Step-by-step explanation:
The sector COD is 1/4 the size of the circle.
the vertex angle is 90° and a circle has 360° at the center.
So the area of sector COD/area of Circle = 90/360 = 1/4
This means the area of the circle is 4 * 50.24 = 200.96 square units
Area of circle = πr² where r is the radius
πr² = 200.96
r² = 200.96/ π = 63.9676 ≅ 64
Therefore r = √64 = 8 units
The circumference of the circle is 2πr = 16π units
arc AB has a vertex angle of 30°.
30°/360° = 1/6
So the length of the arc is 1/6th the circumference of the circle =
(1/6) * 16π = 2.67π units or 8.37758 units
Attached solution with detailed work.
