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PSYCHO15rus [73]
3 years ago
14

You have 3/6 cup of brown sugar in your cupboard. The recipe for a dessert

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
3 0
Already have: 3/6 cups
need : 1/5
3/6 - 1/5=
15/30 - 6/30=
9/30=
3/10

so you wil have 3/10 of brown sugar left
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Step-by-step explanation:

To find b, i knew that the angles were congruent, so they were both the exact same.

To find d, I knew that the 65 degrees and the missing value of d had to add up to 81 degrees, because those are congruent too. So, I just subtracted 65 from 81 and then I got the answer.

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(10.02)
melisa1 [442]

Answer:

sin O=\dfrac{3\sqrt{13}}{13}\\cos O=\dfrac{2\sqrt{13}}{13}\\tan O=\dfrac{3}{2}

Step-by-step explanation:

If the point (2,3) is on the terminal side of an angle in standard position.

Adjacent of O, x=2,

Opposite of O, y=3

Next, we determine the hypotenuse, r using Pythagoras Theorem.

Hypotenuse =\sqrt{Opposite^2+Adjacent^2} \\r=\sqrt{3^2+2^2} \\r=\sqrt{13}

Therefore:

sin O=\dfrac{Opposite}{Hypotenuse} \\sin O=\dfrac{3}{\sqrt{13}} \\$Rationalizing\\sin O=\dfrac{3\sqrt{13}}{13}

cos O=\dfrac{Adjacent}{Hypotenuse} \\cos O=\dfrac{2}{\sqrt{13}} \\$Rationalizing\\cos O=\dfrac{2\sqrt{13}}{13}

Tan O=\dfrac{Opposite}{Adjacent} \\tan O=\dfrac{3}{2}

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