Answer:
15.6m
Step-by-step explanation:
FE is the hypotenuse, and we know the leg opposite of the angle, so we have to use the sin
sin = opposite/hypotenuse
hypotenuse * sin = opposite
hypotenuse = opposite / sin
FE = 10/0,64... = 15.6
Answer:
Step-by-step explanation:
Presuming represents the length of the box (which you should have specified), your volume function:
is correct.
V(x)=-x^3+33x^2-90x=0
Obviously, in order to have a box, all three dimensions must be positive numbers.
Since the height is 3 less than the length, the length must be greater than 3 so that the height will be greater than zero. Since the sum of length and width is 30, the length must be less than 30. Hence, the possible range of values for is
If you know enough calculus to be able to take the derivative of this function, set the first derivative equal to zero and solve. You will obtain two possible extrema. Only one of these extrema will lie in the the acceptable range of values,
If you don't know the Calculus, then the best you can do is to graph the function and eyeball it.
ANSWER: 12,345,678
EXPLANATION:
we can work backwards by figuring out what 9(the answer) is multiplied by to get 111,111,102 (the starting number) we can do this by dividing by 9:
111,111,102/9 = 12,345,678
so: 9 * 12,345,678 = 111,111,102
which also means
111,111,102/12,345,678 = 9 (with 0 as a remainder)
The factored form of a polynomial is comprised of factors in which the sum is equal to the coefficient of the second term and the product is equal to the coefficient of the third term. In this case, the factors of x2 + 3x - 4 = 0 are 4 and -1. hence the answer is B. <span>(x - 1)(x - 4) = 0</span>
