Answer:
Step-by-step explanation:
Let x^3 = y
f(x) = 27(x^3)^2 + 1524(x^3) + 125
f(x) = 27 y^2 + 1524y + 125
You can now put this into the quadratic formula. When you do, you get
(y + 0.0821)(y+56.3623) = 0
So now you substitute x^3 into this
(x^3 + 0.0821)(x^3 + 56.3623)
x^3 + 0.0821 = 0
x^3 = - 0.0821
cuberoot x^3 = cube root 0.0821
x = - 0.4346
x^3 = - 56.3623
x = - 3.8341
Answer:
8/5
Step-by-step explanation:8/5
Answer:
Let m∠BCE = x
Then m∠ACE = x as well since CE is bisecting ∠ACB.
- m∠ACD + x + x = 180° ⇒
- m∠ACD = 180° - 2x
Consider ΔBEC
<u>Since BE = EC, the opposite angles are congruent:</u>
<u>Then:</u>
<u>Find the angle BEC:</u>
- m∠BEC = 180° - (x + x) = 180° - 2x
<u>Comparing the above we see that:</u>
Answer:
For a green and a blue P1 = 8/11 * 3/10 = (80 * 33) / 110^2 = .218
For a blue and a green P2 = 3/11 * 8/10 = (30 * 88) / 110^2 = .218
The probabilities are the same
Answer:
111°
Step-by-step explanation:
- All these are parallel lines, so the 36° angle is equal to the 36° angle inside the big triangle because they are vertically opposite.
- Ignore the line cutting between 45° and the 30° and consider it as one triangle
- Add them to get 75°
- Now you have two known angles 75° and 36°
- To get angle <em>x</em><em> </em>add 75° and 36° to get 111°
- Because x° is an exterior angle and exterior angles equal to the sum of interior angles opposite it inside the triangle.