Answer: 90°
Step-by-step explanation:
Angle b is vertical to the angle that has a measure of 90°
The area of a hexagonal pyramid can be calculated as follows ;
Total Area = area of hexagonal base + area of lateral faces
Lateral faces are - 6 triangular faces
Area of lateral faces = 1/2 x perimeter x slant height
Perimeter = sum of the sides of hexagon
= 4 + 4 + 4 + 4 + 4 + 4
= 24
Slant height - 6
Area of lateral faces = 1/2 x 6 x 24
= 72
Area of base is area of the hexagon
Area of hexagon can be calculated using the following equation ;
Area = 3(√3)/2 side²
= 41.57
Total area = 41.57 + 72
= 113.57
2/3 x 2 = 4/6
1/2 x 3 = 3/6
4/6 - 3/6 = 1/6
6-4 = 2
2 and 1/6
Long,detailed solution, we make the denominator the same first
5/12 , times 20 to both numerator and denominator, 100/240
3/20 , times 12 to both numerator and denominator = 36/240
so 36/240 - 100/240 = -64/240 = -4/15
For a given function f(x) we define the domain restrictions as values of x that we can not use in our function. Also, for a function f(x) we define the inverse g(x) as a function such that:
g(f(x)) = x = f(g(x))
<u>The restriction is:</u>
x ≠ 4
<u>The inverse is:</u>
Here our function is:
We know that we can not divide by zero, so the only restriction in this function will be the one that makes the denominator equal to zero.
(x - 4)^2 = 0
x - 4 = 0
x = 4
So the only value of x that we need to remove from the domain is x = 4.
To find the inverse we try with the general form:
Evaluating this in our function we get:
Remember that the thing above must be equal to x, so we get:
From the two above equations we find:
b = 11
a = 4
Thus the inverse equation is:
If you want to learn more, you can read:
brainly.com/question/10300045