Answer:
The roots are 0, 3 and 4.
Step-by-step explanation:
x^3-7x^2-12x = 0 Take out x:
x(x^2 - 7x - 12) = 0 Factor the expression in the brackets:
x(x - 3)(x - 4) = 0
x = 0 or x - 3 = 0 or x - 4 = 0, so
The roots are 0, 3 and 4.
Answer:
For tingle #1
We can find angle C using the triangle sum theorem: the three interior angles of any triangle add up to 180 degrees. Since we know the measures of angles A and B, we can find C.
We cannot find any of the sides. Since there is noting to show us size, there is simply just not enough information; we need at least one side to use the rule of sines and find the other ones. Also, since there is nothing showing us size, each side can have more than one value.
For triangle #2
In this one, we can find everything and there is one one value for each.
- We can find side c
Since we have a right triangle, we can find side c using the Pythagorean theorem
- We can find angle C using the cosine trig identity
- Now we can find angle A using the triangle sum theorem
For triangle #3
Again, we can find everything and there is one one value for each.
- We can find angle A using the triangle sum theorem
- We can find side a using the tangent trig identity
- Now we can find side b using the Pythagorean theorem
Answer:
69.5%
Step-by-step explanation:
A feature of the normal distribution is that this is completely determined by its mean and standard deviation, therefore, if two normal curves have the same mean and standard deviation we can be sure that they are the same normal curve. Then, the probability of getting a value of the normally distributed variable between 6 and 8 is 0.695. In practice we can say that if we get a large sample of observations of the variable, then, the percentage of all possible observations of the variable that lie between 6 and 8 is 100(0.695)% = 69.5%.