Answer:
√10 / 10
Step-by-step explanation:
tan θ > 0 and sin θ < 0, so θ is in quadrant III. That means cos θ < 0.
cos(θ + π/4)
Use angle sum formula.
cos θ cos(π/4) − sin θ sin(π/4)
½√2 cos θ − ½√2 sin θ
Factor.
½√2 cos θ (1 − tan θ)
½√2 cos θ (1 − 2)
-½√2 cos θ
Write in terms of secant.
-½√2 / sec θ
Use Pythagorean identity (remember that cos θ < 0).
-½√2 / -√(1 + tan²θ)
-½√2 / -√(1 + 2²)
½√2 / √5
√10 / 10
Answer:
B. 45.23 cm
Step-by-step explanation:
perimeter of the figure
I think it is 1200 people. Because if 40% are female and there are 480 females, then do 480 x 2 and that equals 960 then half of 480 is 240 so add 960 to 240 and you get 1200 as the total amount of people there. I'm not sure if it's right, but it should be.
A=pi(r)^2
45=pi(r)^2 divide by pi (3.14)
14.33=r^2 square root both sides
3.79=r round
r=4
Since all of the bases (x) are equal you just add the exponents.
(The x has an exponent of 1)
3 + -4 + 1
-1 + 1
0
Since the answer is 0 it is x^0
And any number or variable set to the power of 0 equals 1, therefore...
ANSWER: x^3 • x^-4 • x = 1
Hope this helps!
