There is 16 possible outcomes when spinning a spinner numbered from 1 to 8 and tossing coin.
Answer:
Step-by-step explanation:
x² + 2x = 6
Subtract both sides by 6.
x² + 2x - 6 = 0
ax²+bx+c=0
a=1, b=2, and c=-6
We can apply the quadratic formula.
Plug in the values.
Evaluate.
Answer:
Disadvantages of mathematicsl models are given.
Step-by-step explanation:
Disadvances of mathematicsl models are the model is a limited or bounded cases which taken from huge number of situations by ignoring many unknown facts of the real problem and does not include all important parameters or trivial parameters for accuricy of the result of system dynamics which gives a better result of the problem. The model may also only work in certain major state variables and parameters which may effect largly on the whole system.
Answer:
1/3
Step-by-step explanation:
To find the scale factor write a ratio from the side length of the small triangle to a corresponding side length of the large triangle.
C'B' has the distance 3 units and CB has the distance 9 units.
The ratio then is 3/9 = 1/3. So the scale factor is 1/3 because it is shrinking the larger triangle to the smaller as shown by the ' marks on the letters.
Answer:
1) The terminal side lies in quadrant 2
2) cosФ = -15/17
3) tanФ = -8/15
Step-by-step explanation:
1) First, we should realize that since sinФ = 8/17, it is positive. Thus, Ф must be in quadrants 1 or 2. And since cosФ is negative, Ф must be in quadrant 2 because cos, sin, and tan are all positive in quadrant 1
2) Next, we must realize that the sides given are a 8-15-17 right triangle. And in this case, since sinФ = 8/17, cosФ should be 15/17. But since cosФ is negative, cosФ = -15/17
3) Lastly, tanФ is opposite/adjacent. Since opposite of Ф is 8 and adjacent of Ф is 15, then tanФ should be 8/15, but since Ф is in quadrant 2, then tanФ is -8/15
