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Nadya [2.5K]
3 years ago
7

Find the area of the shaded polygons:

Mathematics
1 answer:
Marina86 [1]3 years ago
5 0

Answer:

6.5 square units

Step-by-step explanation:

There are MANY ways to do this problem, most of them involving breaking it into 3 or four shapes.  But this one is easier if you do most of it by taking out the squares and half squares.  

Squares - 3

Half squares - 4 (totals 2 squares)

Triangle - 1 - 1/2bh = 1/2x1x3 = 1.5

TOTAL = 3+2+1.5=6.5

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The stream of water from a fountain follows a parabolic path. The stream reaches a maximum height of 7 feet, represented by a ve
xenn [34]

First of all, I'm going to assume that we have a concave down parabola, because the stream of water is subjected to gravity.

If we need the vertex to be at x=4, the equation will contain a (x-4)^2 term.

If we start with y=-(x-4)^2 we have a parabola, concave down, with vertex at x=4 and a maximum of 0.

So, if we add 7, we will translate the function vertically up 7 units, so that the new maximum will be (4, 7)

We have

y = -(x-4)+7

Now we only have to fix the fact that this parabola doesn't land at (8,0), because our parabola is too "narrow". We can work on that by multiplying the squared parenthesis by a certain coefficient: we want

y = a(x-4)^2+7

such that:

  • a
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Plugging these values gets us

0 = a(8-4)^2+7 \iff 16a+7=0 \iff a = -\dfrac{7}{16}

As you can see in the attached figure, the parabola we get satisfies all the requests.

3 0
3 years ago
Whats 3/2 divided by 8/3 in fraction form
vlada-n [284]

Answer:

9/16

Step-by-step explanation:

3/2 / 8/3 =

3/2 x 3/8 = 9/16

Hope that helps!

8 0
3 years ago
Express 0.77230.77230, point, 7723 as a fraction.
geniusboy [140]

Answer:

your mom

Step-by-step explanation:

lol

6 0
3 years ago
45 =p x 60 <br> NEED HELP ASAP
Alexus [3.1K]

Answer:

p = 3/4 or 0.75

Step-by-step explanation:

your equation: 60p = 45

divide both sides by 60: p = 45/60

simply the fraction by dividing the numerator and denominator by 15: p = 3/4

your answer: 3/4 or 0.75

8 0
3 years ago
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Vinil7 [7]

Answer:

abc

Step-by-step explanation:

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3 years ago
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