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2 years ago

Im stuck can someone explain this please

Mathematics

1 answer:

liq [111]2 years ago

8 0

Step-by-step explanation:

For this problem, we should mainly focus on the numbers.

The free throw line on a college basketball court is 12 feet wide.

The free throw line on a basketball court in a park is 11.3 feet wide.

So far we have the numbers 12, and 11.3.

Our question is How much longer is the <em>half-circle </em>above the free-line on the college basketball court than your neighborhood court.

What this means is that we are finding the difference between the two basketball free throw lines. However, it mentions it being a half-circle. The perimeter of a normal circle is π × d where d is the diameter so half of that is 1/2 (π × d). The numbers we got will be plugged in for d.

1/2 (π × 12) = ?

1/2 (π × 11.3) = ?

Plug these into a calculator. Once you do that, subtract them together and you'll find your answer!

I hope that helped at least a little bit, and gave you just a bit of guidance! I haven't actually learned this kind of stuff yet, but I took my best guess! I hope you have an awesome day! :D

P.S if anything I did is wrong or your still not sure, just guess the answer is 0.7π! I apologize if my answer is wrong so take it with a grain of salt!

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Budget planners in two towns, Alphaville and Betaville, developed models to determine the budget surplus (in dollars) for a year

kramer

Answer:

(a) $-3x^2+150x-10000$

(b) $-\$16,863,760,000$

Step-by-step explanation:

Alphaville's Budget Surplus Model is $-2x^2+ 500x$

Betaville's Budget Surplus Model is $x^2- 100x + 10000.$

We want to determine the expression that shows how much greater Alphaville’s annual budget surplus is than Betaville’s for a particular amount of tax revenue.

To do this, we subtract Betaville's Model from Alphaville's model.

$-2x^2+ 500x-(x^2- 100x + 10000)\\$

Opening the brackets

$-2x^2+ 500x-x^2+100x - 10000\\$

Collect like terms and simplify

$-2x^2-x^2+100x + 500x- 10000\\=-3x^2+150x-10000$

The expression that shows how much greater Alphaville's Budget is:

$-3x^2+150x-10000$

(b) If the tax revenue that year in each town is $75,000

We want to evaluate the expression derived above when the tax revenue that year in each town is $75,000 i.e.at x=75000

$-3x^2+150x-10000\\=-3(75000)^2+150(75000)-10000\\=-\$16,863,760,000$

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First, you want to put all the numbers in order from least to greatest.

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Now, you can use this song to help remember how to do these problems.

Cross off the sides till you get to the center. 1 is good, 2 is bad. (If you get two numbers in the middle) add then divide by two.

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2 years ago

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Answer:

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Step-by-step explanation:

Given:

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Therefore:

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