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Ksenya-84 [330]
3 years ago
12

Do the following set of points describe a function, a relation, both or neither?

Mathematics
1 answer:
harkovskaia [24]3 years ago
4 0

Answer:

It's Both

Step-by-step explanation:

for the first two co-ordinates, there are many y-value for a single x-value, then for the last two co-ordinates theres a single y-value for one x-value

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3.2x20 show work please
Alexeev081 [22]
20 x 3.2 = 64.0

It is equal to 64 because of you do long multiplication, it is 32 x 20 then add back in the decimal point in between the 4 and 0 for the answer.
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Answer:

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Marisol is painting on a piece of canvas that has and area of 180 square inches. The length of the painting is 1 1/4 times the w
Ivahew [28]
Formula for the rectangle area is a * b, In this case we know that:

a * b = 180
a (width) = unknown
b (length) = 1 1/4a

We can write it down as:

a * 1 1/4 * a = 180
a² * 1 1/4 = 180                   / ÷ 1 1/4 (both sides)
a² = 144                             / square root (both sides)
a = 12

Doublecheck:

a = 12
b = 1 1/4 * 12 = 15
a * b = 12 * 15 = 180 (so it's correct)

Answer: The dimensions of the painting are <u>12 x 15 inches</u>.
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3 years ago
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6 0
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Find sin(2x), cos(2x), and tan(2x) from the given information.
larisa86 [58]

Since \cot(x)=\frac{2}{3} and \cot^{2} x+1=\csc^{2} x, we know that:

\left(\frac{2}{3} \right)^{2}+1=\csc^{2} x\\\\\frac{13}{9}=\csc^{2} x\\\\\csc x=\frac{\sqrt{13}}{3}

If \csc x=\frac{\sqrt{13}}{3}, this means that \sin x=\frac{3}{\sqrt{13}} and by the Pythagorean identity,

\sin^{2} x+\cos^{2} x=1\\\left(\frac{3}{\sqrt{13}} \right)^{2}+\cos^{2} x=1\\\frac{9}{13}+\cos^{2} x=1\\\cos^{2} x=\frac{4}13}\\\cos x=\frac{2}{\sqrt{13}}

  • Using the double angle formula for sine, \sin(2x)=2\left(\frac{3}{\sqrt{13}} \right)\left(\frac{2}{\sqrt{13}} \right)=\boxed{\frac{12}{13}}
  • Using the double angle formula for cosine, \cos(2x)=1-2\left(\frac{3}{\sqrt{13}} \right)^{2}=\boxed{-\frac{5}{13}}
  • So, since tan=sin/cos, \tan (2x)=\frac{\sin(2x)}{\cos(2x)}=\frac{\frac{12}{13}}{-\frac{5}{13}}=\boxed{-\frac{12}{5}}

7 0
2 years ago
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