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Scrat [10]
3 years ago
14

Use a sum or difference formula to find the exact value of the following. cos Sin COS

Mathematics
1 answer:
Radda [10]3 years ago
3 0
Sin (2pi/3) = sin(2pi/6)

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A 10ft by 20ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 216ft^
Dmitry [639]

check the picture below.


so, we know the dimensions of the pool, is a 20x10, so its area is simply 200 ft², and we know the walkway is 216 ft², so the whole thing, including pool and walkway is really 200 + 216 ft².


now, as you see in the picture, the dimensions for the combined area is 20+2x and 10+2x, since the walkway is "x" long, therefore,


\bf \stackrel{length}{(20+2x)}\stackrel{width}{(10+2x)}=200+216\implies \stackrel{FOIL}{4x^2+60x+200}=200+216 \\\\\\ 4x^2+60x=216\implies \stackrel{dividing~by~4}{x^2+15x=54} \\\\\\ x^2+15x-54=0\implies (x+18)(x-3)=0\implies x= \begin{cases} -18\\ \boxed{3} \end{cases}


notice, it cannot be -18, since is a positive length unit.

5 0
3 years ago
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What is the distance between points -3,6 and 12, 6
ser-zykov [4K]

Answer:

15 units

Step-by-step explanation:

hope i helped!

3 0
2 years ago
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4.07065 in words or written form?
MAVERICK [17]
Four and seven thousand sixty-five hundred thousandths, I believe
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3 years ago
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If you mix 1 cup of chocolate chips and 1 cup of raisins what is the percentage of chocolate chips
algol13

Answer:

50%

Step-by-step explanation:

50% because when there is only 2 variables and they are each 1 cup there is an even amount of stuff and when you ask for only one percentage that would be 50% because everything is even. Even if you asked for the percentage for the cup of raisins it would also be 50%. Hope this helps <3

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How millimeter are in 8liters
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There are 8000 millimeters because 1 liter is also 1000 millimeters
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