Answer:
the last one
Step-by-step explanation:
the image of [0.1] is 1 using X and now it's X+3
so the image will be 4
156 because 12 times 13 is 156
Answer:
x > 1/4
Step-by-step explanation:
Answer:
∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)
Step-by-step explanation:
Start with the Maclaurin series for cos x.
cos x = ∑ₙ₌₀°° (-1)ⁿ x²ⁿ / (2n)!
Substitute ⅓ x².
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓ x²)²ⁿ / (2n)!
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓)²ⁿ x⁴ⁿ / (2n)!
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)
Multiply by 8x.
8x cos (⅓ x²) = ∑ₙ₌₀°° 8x (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)
8x cos (⅓ x²) = ∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)
Answer:

Step-by-step explanation:
A triangle with angles of 30-60-90 will always have sides that measure in the following proportions:
The side opposite the 30* angle = a
The side opposite the 60* angle = 
The side opposite the 90* angle = 2a
(I used "a" here because your question uses "x" and I don't want to confuse things, but usually people use "x" rather than "a")
They gave us that the hypotenuse (the side opposite the 90* angle) is 10, from there we can figure out the other sides:
Since the side opposite 90* is 2a, and 2a = 10, divide 10 by 2 and you get a = 5.
Once we know what "a" is, we can fill in the rest:
30* = 5
60* = 
90* = 10