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olasank [31]
3 years ago
9

Please help me with these 3 questions!! Will mark Brainliest :)

Mathematics
1 answer:
dem82 [27]3 years ago
6 0

Answer:

7. 75.36 inches

8. 21 inches

9. 13 inches

Step-by-step explanation:

7. <em>Circumference = π × d</em>

The diameter would be two times the radius, or 2 × 12 = 24. So, circumference would be 3.14 × 24 = 75.36 inches.

8. <em>Circumference = π × d</em>

If we move variables around, <em>d = Circumference / π</em>

So, d = 65.94 / 3.14 = 21 inches.

9. To do this, let's figure out the diameter: <em>d = Circumference / π</em>

d = 81.64 / 3.14 = 26. Now the diameter is two times the radius, so to get the length of the radius, we must divide the diameter in half. 26 / 2 = 13 inches.

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Ok, so, there is one thing I need to point out. 45° is the 'main' value if you assume 0°<A<180°. However, sin,  cos, and tan have different periods which means that there are infinite values of A where tanA = 1. The general notation that you could put is A = 45° + (n*180°) where n is just a number. For example, if n = 1, you would get an angle of 225°. If you plug tan225° into the calculator, you get 1. If you did radians, you could write A = \frac{\pi}{2} + n\pi. But ignore that if you haven't. Basically, the answer would be 45° if you are assuming A is between 0° and 180°. Also, you could have just used your calculator and types inverse tan function (tan^{-1}) and plug in 1 to find the primary answer of 45.

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That's the answer mate, if you need more help or if you need to know how I got the answer.. just message me.

Good luck!

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