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kodGreya [7K]
2 years ago
6

4-21. Kelso's mom wants to put a floating blanket over the family's circular wading pool to keep the heat in and the leaves out.

The pool has a diameter of 10 feet. a. How many square feet of blanket will Kelso's mother need? b. If the pool supply store charges $0.10 per square foot for the blanket, how much will the material for the blanket cost?
Mathematics
1 answer:
astraxan [27]2 years ago
7 0

Answer:

a. 78.6 square feet

b. $7.86

Step-by-step explanation:

a. This simply asks us to calculate the area of the 10 feet diameter pool

Formula for area of circle is ;

pi * r^2 = pi * d^2/4

so Area = 22/7 * 10^2/4 = 78.60 square feet

b. This will be the area of the blanket multiplied by the price per square foot of the blanket

Mathematically, we have that as;

78.60 * 0.1 = $7.86

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What is the equation of the line?
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Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

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y = mx+b

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First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (0,2), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=0 and y1=2.

Also, let's call the second point you gave, (-4,0), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=-4 and y2=0.

Now, just plug the numbers into the formula for m above, like this:

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So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=1/2x+b

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(-4,0). When x of the line is -4, y of the line must be 0.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=1/2x+b. b is what we want, the 1/2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (0,2) and (-4,0).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

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