The Area of a Segment is the area of a sector minus the triangular piece (shown in light blue here). There is a lengthy reason, but the result is a slight modification of the Sector formula: Area of Segment = θ − sin(θ) 2 × r2 (when θ is in radians) Area of Segment = ( θ × π 360 − sin(θ)2 ) × r2 (when θ is in degrees)

Step-by-step explanation:

6 0

2 years ago

A computer password consists of six characters.a. How many different passwords are possible if each character may be any lowerca

Citrus2011 [14]

Answer:

a) $6.04661760*10^8$

b) 0.27778

Step-by-step explanation:

There are 26 lowercase letters and 10 digits.

The character that must be a digit can be generated in 10 different ways and the others, in 26+10=36 different ways.

Since the password is 6 characters long, by the Fundamental Rule of Counting there are

10*36*36*36*36*36 = 604,661,760

In scientific notation this number can be expressed as

$6.04661760*10^8$

By the <em>Fundamental Rule of Counting</em>, there would be

$36^6$

different combinations of 6 characters, but only the number computed in a) are valid combinations, so the probability of generating a valid password is

$\displaystyle\frac{10*36^5}{36^6}=\displaystyle\frac{10}{36}=0.27778$

5 0

3 years ago

Solve the equation for . 2x+22=4(x+3)

neonofarm [45]

Answer:

2x+22=4(x+3)

2x+22=4x+12

22-12=4x-2x

10=2x

5=x

8 0

3 years ago

Solve for x. Round all answers to the nearest tenth

marshall27 [118]

Answer: 42

Step-by-step explanation:

7 0

3 years ago