A Sony television has a rectangular screen with a diagonal measurement of 18 inches If the screen has a height of 10 inches, wha
1 answer:
Let's draw a figure from the statements in the problem. It can look like this:
The diagonal is 18 inches, the height is 10 inches and the length is <em>x inches</em>.
We can use the pythagorean theorem [ c^2 = a^2 + b^2 ] to solve this problem easily.
Looking at the top triangle, we can write:
With the help of a little algebra, let's solve for x, the length. Shown below:
<em>Rounding to the nearest whole number, the </em><em>length of the screen</em> is:
15 inches
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Answer:
Step-by-step explanation:
Ok, so we start by setting the integral up. The integral we need to solve is:
so according to the instructions of the problem, we need to start by using some substitution. The substitution will be done as follows:
U=5+x
du=dx
x=U-5
so when substituting the integral will look like this:
now we can go ahead and integrate by parts, remember the integration by parts formula looks like this:
so we must define p, q, p' and q':
p=ln U
q'=U-5
and now we plug these into the formula:
Which simplifies to:
Which solves to:
so we can substitute U back, so we get:
and now we can simplify:
notice how all the constants were combined into one big constant C.