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belka [17]
3 years ago
8

What is the length of the hypotenuse?​

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
4 0

Answer:

The answer is c = 17 feet

Step-by-step explanation:

The formula to find the hypotenuse is a^2 + b^2 = c^2 (<em>a </em>squared plus <em>b </em>squared equals <em>c </em>squared).  

<em>a </em>= 8 feet

<em>b </em>= 15 feet

<em>a</em>^2 = 8 * 8 = 64

<em>b</em>^2 = 15 * 15 = 225

The next step is to add: 64 + 225 = 289

But we need to remember to square root 289 because we squared <em>a </em>and <em>b</em>.

The square root of 289 equals 17

c = 17 feet

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The question that says " a school has 1200 pupils "
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The average annual income I in dollars of a lawyer with an age of x years is modeled with the following function I=425x^2+45,500
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You did not include the questions, but I will give you two questions related with this same statement, and so you will learn how to work with it.

Also, you made a little (but important) typo.

The right equation for the annual income is: I = - 425x^2 + 45500 - 650000

1) Determine <span>the youngest age for which the average income of a lawyer is $450,000

=> I = 450,000 = - 425x^2 + 45,500x - 650,000

=> 425x^2 - 45,000x + 650,000 + 450,000 = 0

=> 425x^2 - 45,000x + 1,100,000 = 0

You can use the quatratic equation to solve that equation:

x = [ 45,000 +/- √ { (45,000)^2 - 4(425)(1,100,000)} ] / (2*425)

x = 38.29 and x = 67.59

So, the youngest age is 38.29 years

2) Other question is what is the maximum average annual income a layer</span> can earn.

That means you have to find the maximum for the function - 425x^2 + 45500x - 650000

As you are in college you can use derivatives to find maxima or minima.

+> - 425*2 x + 45500 = 0

=> x = 45500 / 900 = 50.55

=> I = - 425 (50.55)^2 + 45500(50.55) - 650000 = 564,021. <--- maximum average annual income
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3 years ago
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