The formula that you will use will be the formula for the area of a circle, which is as follows:
A= Pi r^2
(Pi times the radius squared)
Answer:
Step-by-step explanation:
Distributive property: a(b +c) = a*b + a*c
(2x + 1) - 7(-6x + 9) = (2x + 1) + (-7)*(-6x) + (-7)*9
= 2x + 1 + 42x - 63 {Combine like terms}
= 2x + 42x + 1 - 63
= 44x - 62
Answer:
let the number of snacks bought be x
f(x) = 7 +2.5(x)
=> f(x) is the amount you spend in total
Assume 0 < <em>x</em>/2 < <em>π</em>/2. Then
tan²(<em>x</em>/2) + 1 = sec²(<em>x</em>/2) ===> sec(<em>x</em>/2) = √(1 - tan²(<em>x</em>/2))
===> cos(<em>x</em>/2) = 1/√(1 - tan²(<em>x</em>/2))
===> cos(<em>x</em>/2) = 1/√(1 - <em>t</em> ²)
We also know that
sin²(<em>x</em>/2) + cos²(<em>x</em>/2) = 1 ===> sin(<em>x</em>/2) = √(1 - cos²(<em>x</em>/2))
Recall the double angle identities:
cos(<em>x</em>) = 2 cos²(<em>x</em>/2) - 1
sin(<em>x</em>) = 2 sin(<em>x</em>/2) cos(<em>x</em>/2)
Then
cos(<em>x</em>) = 2/(1 - <em>t</em> ²) - 1 = (1 + <em>t</em> ²)/(1 - <em>t</em> ²)
sin(<em>x</em>) = 2 √(1 - 1/(1 - <em>t</em> ²)) / √(1 - <em>t</em> ²) = 2<em>t</em>/(1 - <em>t</em> ²)
