On Saturday, Breanna drove 10 miles. On Sunday,40 drove miles. The number of miles drove on Sunday is what percent of the numb
1 answer:
You might be interested in
Answer: 91,445,760 ft³
Step-by-step explanation:
You know that the base of this pyramid is a square, then you can use the following formula to calculate its volume:
Where "s" is the lenght of any side of the base of the pyramid and "h" is the height of the pyramid.
You know that:
Then, you can substitute these values into the formula. So, you get that the volume of The Great Pyramid is:
Answer:
a. A(x) = (1/2)x(9 -x^2)
b. x > 0 . . . or . . . 0 < x < 3 (see below)
c. A(2) = 5
d. x = √3; A(√3) = 3√3
Step-by-step explanation:
a. The area is computed in the usual way, as half the product of the base and height of the triangle. Here, the base is x, and the height is y, so the area is ...
A(x) = (1/2)(x)(y)
A(x) = (1/2)(x)(9-x^2)
__
b. The problem statement defines two of the triangle vertices only for x > 0. However, we note that for x > 3, the y-coordinate of one of the vertices is negative. Straightforward application of the area formula in Part A will result in negative areas for x > 3, so a reasonable domain might be (0, 3).
On the other hand, the geometrical concept of a line segment and of a triangle does not admit negative line lengths. Hence the area for a triangle with its vertex below the x-axis (green in the figure) will also be considered to be positive. In that event, the domain of A(x) = (1/2)(x)|9 -x^2| will be (0, ∞).
__
c. A(2) = (1/2)(2)(9 -2^2) = 5
The area is 5 when x=2.
__
d. On the interval (0, 3), the value of x that maximizes area is x=√3. If we consider the domain to be all positive real numbers, then there is no maximum area (blue dashed curve on the graph).
