4 years ago

What is 65 5/6+ 6 4/6 in simplest form?

Mathematics

1 answer:

juin [17]4 years ago

8 0

72.5 as decimal or 72 1/2 as fraction

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How do you find the sine and tangent of an angle if you are given the cosine?

Anni [7]

Answer:

sin = √(1 -cos²)
tan = (√(1 -cos²))/cos

Step-by-step explanation:

$\displaystyle\sin^2{\theta}+\cos^2{\theta}=1 \qquad\text{Pythagorean identiy}\\\\\sin{\theta}=\sqrt{1-\cos^2{\theta}} \qquad\text{solved for sine}\\\\\tan{\theta}=\frac{\sin{\theta}}{\cos{\theta}}=\frac{\sqrt{1-\cos^2{\theta}}}{\cos{\theta}}$

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If you draw a triangle with a hypotenuse of 1 and an "adjacent" leg of "cos", then using the Pythagorean theorem, you can see that the "opposite" leg will be √(1-cos²) and the tangent will be (√(1-cos²))/cos. Whether or not you're allowed to draw such a triangle on paper, you can certainly do it in your mind.

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3 years ago

special Sophia's Festival Garden is divided into 12 equal sections she plant carrots in 8 of the sections write two fractions th

inn [45]

There are the the 2 fractions
8/12 and 2/3

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3 years ago

on a coordinate grid, her house is located at (1,2) and the park at (5,5) what is the shortest distance from her house to the pa

nadya68 [22]

To solve, use the distance formula: $d= \sqrt{(x_1+x_2)^2+(y_1+y_2)^2}$ . Using your values of x and y, you get $d= \sqrt{(1+5)^2+(2+5)^2} = \sqrt{6^2+7^2} = \sqrt{36+49} = \sqrt{85}$ , which is approximately 9.22. This means your shortest distance is √85≈9.22