Answer:
f^-1(x) = (x + 3)^1/3 + 2
Step-by-step explanation:
..................................................
Remember that straight lines are 180°. For #1 angle 1 would be 40°, since 140°+40°=180°
Answer:
The equation represented by the ordered pair is;
y = 2^(5-x)
Step-by-step explanation:
Here, we want to write the equation represented by the ordered pairs
From what we have in the question, we can see that while the x-values increase in arithmetic progression of 1
The y-values decrease in order of two geometrically
Thus, the equation is;
y = 2^(5-x)
Answer:
The perimeter is 43.6 cm
Step-by-step explanation:
In this question, we are tasked with calculating the perimeter of the sector.
Firstly, we define what a sector is. A sector is part of a circle which is is blinded by two radii and an arc. Hence we say a sector contains two radii.
Thus, to calculate the perimeter of the sector, we need the length of the arc added to 2 * length of the radius
Let’s calculate the length of the arc.
Mathematically, this is theta/360 * 2 * pi * r
where theta is the angle subtended at the middle of the circle which is 135 according to the question, and our radius is 10cm
Thus, we have
135/360 * 2 * 22/7 * 10 = 23.57 cm
Adding two radii to this, we have;
23.57 + 2(10)
= 23.57 + 20 = 43.57 = 43.6 cm to 1 decimal place
