x = 1
Step-by-step explanation:
Given data:
Recall: If f(x) = 0, then x is called the zero of the function.
To find zero of the function, take f(x) = 0.
Add 6 to both sides of the equation.
Divide both sides of the equation by 3.
Taking square on both sides of the equation.
⇒ x + 3 = 4
⇒ x = 1
Hence, the zero of the function is 1.
Answer:
a). x = 135°
b). y = 45°
c). z = 67.5°
Step-by-step explanation:
Since sum of interior angles of a regular polygon is represented by,
Sum of interior angles = (n - 2) × 180°
Here n = number of sides
For a regular octagon, n = 8
Sum of interior angles = (8 - 2) × 180° = 1080°
And measure of one interior angles =
x =
x = 135°
From the figure attached,
Angle C has been divided in 6 equal parts,
Therefor, m∠ECD = = 22.5°
Since ∠ECD ≅ ∠CED,
m∠CED = 22.5°
Since m∠E = 135°
m∠FEC = 135 - 22.5 = 112.5°
In ΔFEC,
m∠FEC + m∠ECF + m∠CFE = 180°
112.5 + 22.5 + z = 180
z = 180 - 135
z = 45°
Similarly, in ΔCGF,
m∠CGF + m∠CFG + m∠GCF = 180°
(135 - y)° + (135 - z)° + 22.5° = 180°
270 - (y + z) + 22.5 = 180
292.5 - (y + 45) = 180
247.5 - y = 180
y = 247.5 - 180
y = 67.5°
Answer:
So probability will be 0.34
Step-by-step explanation:
We have given that a university admitted 100 students
In which 34 students are from two year community program
25 students are from private four year institution
And rest that is 100-34-25 = 41 students from public four year institutions
Number of ways for selecting two students from two year community program that is, from 34 students
And the number of ways in selecting the 2 students from total student
So probability will be