A shipping tube is shaped like a right triangular prism. The bases are equilateral triangles with edges of 5 inches and a height
of 4.3 inches. The tube is 14 inches long. Find the lateral surface area of the shipping tube. options
70 square inches
40 square inches
210 square inches
168 square inches
70 square inches
40 square inches
210 square inches
168 square inches
1 answer:
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Answer:
Step-by-step explanation:
Recall that one needs just three points on the plane to determine the form of the quadratic function that goes through them, because a quadratic function is defined by three parameters. We therefore can pick just three simple ones that facilitate our calculations.
Realize that we need to find the parameters and
that gives as a function of the form:
that satisfies the values given in the table.
The simplest point to start with is the point (0,-6) which means that when x is 0 (zero), the value of y must be "-6". Placing such values in the general form, renders what the value of the parameter "c" should be:
So parameter must be "-6".
Now let's use other simple values of "x" that facilitate our calculations, and include the value we just found, to reduce the number of unknowns:
point (1, 2):
Point (-1, -20):
Now, we can add these two equations term by term as they are, in order to get rid of the unknown "b":
So we just found the value for parameter "" = -3
Now we can use it as well as c = -6 in one of the equations we reduced above, in order to find the parameter (b) that we are missing:
So now we have the three parameters we need to define the quadratic function:
You can also check that the other points given in the table (2, 4) a,d (3, 0) are indeed points that belong to this quadratic function.
<u>ANSWER: </u>
Carlos is building a screen door.The width of the screen is 3 feet.
<u>SOLUTION: </u>
Given, Carlos is building a screen door. The height of the door is 1 foot more than twice its width.
And height of the screen door is 7 feet high.
Let the width of the screen door be x feet wide.
Now, according to given information,
Height is 1 foot more than the 2 times of width. Hence we can form a equation as,
7 = 1 + 2x
2x = 7 – 1
2x = 6
x = = 3
Hence, the width of the screen is 3 feet.