I am not sure, but we're you going to put up a sum.
You can use the identity
cos(x)² +sin(x)² = 1
to find sin(x) from cos(x) or vice versa.
(1/4)² +sin(x)² = 1
sin(x)² = 1 - 1/16
sin(x) = ±(√15)/4
Then the tangent can be computed as the ratio of sine to cosine.
tan(x) = sin(x)/cos(x) = (±(√15)/4)/(1/4)
tan(x) = ±√15
There are two possible answers.
In the first quadrant:
sin(x) = (√15)/4
tan(x) = √15
In the fourth quadrant:
sin(x) = -(√15)/4
tan(x) = -√15
Answer:
an = (1 + 2·(n - 1))/2^(n - 1) = 2^(1 - n)·(2·n - 1)
sn = 6 - 2·0.5^n·(2·n + 3)
Answer: The total surface area is 633.9
Step-by-step explanation:
12.25 times 15.75, then divide by 2 = 96.46875 (this is the area of the triangle
Then times 4 = 385.875 (Because there are four triangles
15.75 times 15.75 = 248.0625 (The area of the square)
The sum is 633.9375
Rounded = 633.9
Wanda's graph is incorrect because Claudia needs to earn $80 or more and Wanda's graph shows $80 or less.
