Step-by-step explanation:
Part A:
So the height is going to be x when you fold the sides up. So that's one part of the volume but for the width it was going to be 4 but since two corners were cut out with the length x the new width is going to be (4-2x). The same thing applies for the length which should be 8 inches but since two corners were removed with the length x it's now (8-2x)
v = x(4-2x)(8-2x)
Part B:
The volume can be graphed although there must be a domain restriction since the height, width, or length cannot be negative. So let's look at each part of the equation
so for the x in front it must be greater than 0 to make sense
for the (4-2x), the x must be less than 2 or else the width is negative.
for the (8-2x) the x must be less than 4 or else the length is negative
so the domain is going to be restricted to 0 < x < 2 so all the dimensions are greater than 0
By using a graphing calculator you can see the maximum of the given equation with the domain restrictions is 0.845 which gives a volume of 12.317
Step-by-step explanation:
I'm guessing
second one
removing some of the sentences
Answer:
i think its 21/x-4
Step-by-step explanation:
sorry if im wrong
Answer:
21 inches.
Step-by-step explanation:
From the question, we are given the following parameters or data or information: The legs of the triangles are 10 inches and 17 inches, perimeter of the rectangle is 146 units and length of the base for both triangles is 16 inches long.
Step one: the first step to do in this question is to determine or Calculate the value for the height of the smaller triangle.
Thus, 10^2 = (16/2)^2 + (b1)^2.
b1 = √ (100 - 64) = √ 36 = 6.
Step two: the second step to do in this question is to determine or Calculate the value for the height of the bigger triangle.
17^2 = (16/2)^2 + (b2)^2.
b2 = √ (289 - 64) = √ 225 = 15.
Step three: this is the lat step and it involves the addition of our values in step one and two above, that is;
6 + 15 = 21.
Thus, length of the kite’s other diagonal = 21 inches.
Answer:
RESULTS: The study revealed that a 1% increase in access to improved sanitation would reduce infant mortality by a rate of about two infant deaths per 1000 live births.
