The length of one of the legs is 7.78 since the hypotenuse is √2*x. When setting it equal to 11, x will equal 7.78.
Answer: 4
The same since its in the center
20/360=X/72
Step-by-step explanation:
If x^2+bx+16 has at least one real root, then the equation x^2+bx+16=0 has at least one solution. The discriminant of a quadratic equation is b^2-4ac and it determines the nature of the roots. If the discriminant is zero, there is exactly one distinct real root. If the discriminant is positive, there are exactly two roots. The discriminant of <span>x^2+bx+16=0 is b^2-4(1)(16). The inequality here gives the values of b where the discriminant will be positive or zero:
b^2-4(1)(16) ≥ 0
</span><span>b^2-64 ≥ 0
(b+8)(b-8) </span><span>≥ 0
The answer is that all possible values of b are in the interval (-inf, -8]∪[8,inf) because those are the intervals where </span>(b+8)(b-8) is positive.
Answer:
Step-by-step explanation:
I'm GUESSING you want to know a value for θ if possible
secθ + tanθ = cosθ/(1 - sinθ)
1/cosθ + sinθ/cosθ = cosθ/(1 - sinθ)
(1 + sinθ)/cosθ = cosθ/(1 - sinθ)
(1 - sinθ)(1 + sinθ) = cos²θ
1 - sinθ + sinθ - sin²θ = cos²θ
1 - sin²θ = cos²θ
1 = cos²θ + sin²θ
which is the unit circle, centered on the origin with radius 1 unit
0 ≤ θ ≤ 2π