Step-by-step explanation:
LHS= 1 + cot^2A/1+cosecA
=(1+cosecA + cot^2A)/1+cosecA
{By using basic trigonometric theorem cot^2A = cosec^2A - 1}
=(1+cosecA + cosec^2A - 1)/(1+cosecA)
=(cosecA + cosec^2A)/(1+cosecA)
=[cosecA (1+cosecA)]/(1+cosecA)
{Cancelling 1+cosecA}
=cosecA
Using it's concept, it is found that the radix of the arbitrary number system is of 3.
<h3>What is the radix of a number system?</h3>
It is the number of different digits that the system has, for example:
- The binary system has radix 2, as it has digits 0 and 1.
- The decimal digit has radix 10, as it has 10 digits from 0 to 9.
In this problem, the digits are 0, 1 and x, hence the radix of the arbitrary number system is of 3.
More can be learned about the radix of a number system at brainly.com/question/12569036
Answer:
x = -3, 6
Step-by-step explanation:
First, add 18 to both sides
x² - 3x - 18 = 0
+ 18 + 18
x² - 3x = 18
Add 9/4 to both sides because that is the square of half of -3
x² - 3x + 9/4 = 18 + 9/4
Multiply both sides by 4 to get rid of the fractions
(x² - 3x + 9/4 = 18 + 9/4)4
4x² - 12x + 9 = 72 + 9 = 81
Factor the left side of the equation
(2x - 3)² = 81
√(2x - 3)² = √81
Because of the square root, this will result in a positive number and a negative number
2x - 3 = 9
2x - 3 = -9
For both equations, add 3 to both sides then divide by 2
2x - 3 = 9
+ 3 +3
2x = 12
2x/2 = 12/2
x = 6
2x - 3 = -9
+ 3 + 3
2x = -6
x = -3
18%.
820 - 1000 = -180 (Ignore minus sign)
180/1000 = 0.18
18 × 100 = 18
Add a percentage sign =18%
Answer:
V=π*(2x^3+35x^2+176x+192)units^3
Step-by-step explanation:
V=πr^2h
r=x+8
h=2x+3
V=π*(x+8)^2*2x+3
=π*(x^2+16x+64)*2x+3
=π*(2x^3+32x^2+128x+3x^2+48x+192)
=π*(2x^3+35x^2+176x+192)
Volume of the cylinder=π*(2x^3+35x^2+176x+192)units^3
