Answer:
x = π/4 and 5π/4
Step-by-step explanation:
Given the expression;
2cos²x - 1 = 0
2cos²x = 0+1
2cos²x = 1
cos²x = 1/2
cos x = ±√1/2
cos x = ±0.7071
x = arccos(±0.7071)
x = ±45 degrees
Convert to radians
Sence 180° = π rad
45° = x
x = 45π/180
x = π/4
If x = -45°
Since cos is negative in the 3rd quadrant
x = 180 + 45
x = 225°
x = 225π/180
x = 45π/36
x = 5π/4
Answer:
The rule which allows us to change the sign of an exponent is called the <u>negative exponent</u> rule.
Step-by-step explanation:
Consider the provided information.
The negative exponent rule is the rule which allows to change the sign of an exponent.

According to negative exponent rule: A negative exponents in the numerator moved to the denominator and become positive exponents.
If A negative exponents in the denominator moved to the numerator and become positive exponents.
Hence, the required statement is: The rule which allows us to change the sign of an exponent is called the <u>negative exponent</u> rule.
Answer: V≈900 ft³
Step-by-step explanation:
Formula
V=πr²h
Given
r=5 ft
h=12 ft
Solve
V=πr²h
V=π(5)²(12)
V=π(25)(12)
V=300π
V≈300(3)
V≈900 ft³
Hope this helps!! :)
Please let me know if you have any questions
Step-by-step explanation:
Given that the mean of the numbers is 12

so here
let's that one as x and another one as 2x since it is given that one is twice the other
Therefore we get

Given mean = 12




Hence it's 11 and 22