Answer:
85.6 cm^2
Step-by-step explanation:
The area of the central triangle bounded by each of the sides can be computed as ...
A = (1/2)r²sin(α) . . . . where α is the central angle, 360°/5 = 72°
There are 5 such triangles, so the area of the pentagon is ...
A = (5/2)(6 cm)²sin(72°) ≈ 85.595 cm²
The area of the regular pentagon of radius 6 cm is about 85.6 cm².
1.25j+5.25 would be the answer. just combine like terms
Answer:
The smaller angle is 45 degrees.
Step-by-step explanation:
Angles measure 180º. If there are two angles and one of them is three times the other, you would just divide 180 by 4.
The equation would look like:
3x + x = 180
First, the x would be added together:
4x = 180
Then, divide both sides by 4:
x = 45
5/8 = 0.625
6 / 9.6 = 0.625
12.8 * 0.625 = 8
x = 8
Answer:
x = -4, 1, 4
Step-by-step explanation:
The function is given as:
f(x) = (x² - x -2)/[(x² - 1)(x² -16)]
We want to find the values of x where the graph will have vertical assymptote.
Vertical asymptotes are defined as vertical lines which correspond to the values of x that will make the denominator of a rational function to be zero.
Thus, to get the values of x that we will have vertical assymptotes, we have to equate the denominator to zero.
We have;
[(x² - 1)(x² -16)] = 0
Thus,
x² - 1 = 0
Or
x² - 16 = 0
So;
x² = 1
x = √1
x = 1
Or
x² = 16
x = ±√16
x = ±4
Values of x that give vertical assymptote are;
x = -4, 1, 4
