Answer: 10 degrees
Step-by-step explanation:
Since NL is a diameter, arc LM measures 20 degrees.
So, by the inscribed angle theorem, angle N measures 10 degrees.
Answer:
here is your answer
Step-by-step explanation:
here is your answer
Answer:
airport
Step-by-step explanation:
because planes fly out of airports
Either order is correct.
Small example: let's take
![n=3](https://tex.z-dn.net/?f=n%3D3)
. Then
![(x\times y)^3=(x\times y)\times(x\times y)\times(x\times y)](https://tex.z-dn.net/?f=%28x%5Ctimes%20y%29%5E3%3D%28x%5Ctimes%20y%29%5Ctimes%28x%5Ctimes%20y%29%5Ctimes%28x%5Ctimes%20y%29)
By the commutative property, we can write
![(x\times y)^3=(x\times y)\times\underbrace{(y\times x)}\times(x\times y)](https://tex.z-dn.net/?f=%28x%5Ctimes%20y%29%5E3%3D%28x%5Ctimes%20y%29%5Ctimes%5Cunderbrace%7B%28y%5Ctimes%20x%29%7D%5Ctimes%28x%5Ctimes%20y%29)
By the associative property, we can regroup consecutive terms.
![(x\times y)^3=(x\times(y\times y))\times((x\times x)\times y)](https://tex.z-dn.net/?f=%28x%5Ctimes%20y%29%5E3%3D%28x%5Ctimes%28y%5Ctimes%20y%29%29%5Ctimes%28%28x%5Ctimes%20x%29%5Ctimes%20y%29)
![(x\times y)^3=(x\times y^2)\times(x^2\times y)](https://tex.z-dn.net/?f=%28x%5Ctimes%20y%29%5E3%3D%28x%5Ctimes%20y%5E2%29%5Ctimes%28x%5E2%5Ctimes%20y%29)
By the associative property again, we can regroup terms and write
![(x\times y)^3=x\times(y^2\times x^2)\times y](https://tex.z-dn.net/?f=%28x%5Ctimes%20y%29%5E3%3Dx%5Ctimes%28y%5E2%5Ctimes%20x%5E2%29%5Ctimes%20y)
Commutativity:
![(x\times y)^3=x\times(x^2\times y^2)\times y](https://tex.z-dn.net/?f=%28x%5Ctimes%20y%29%5E3%3Dx%5Ctimes%28x%5E2%5Ctimes%20y%5E2%29%5Ctimes%20y)
Associativity:
![(x\times y)^3=(x\times x^2)\times(y^2\times y)](https://tex.z-dn.net/?f=%28x%5Ctimes%20y%29%5E3%3D%28x%5Ctimes%20x%5E2%29%5Ctimes%28y%5E2%5Ctimes%20y%29)
![(x\times y)^3=x^3\times y^3](https://tex.z-dn.net/?f=%28x%5Ctimes%20y%29%5E3%3Dx%5E3%5Ctimes%20y%5E3)
You can show by induction that this holds in general for
![n](https://tex.z-dn.net/?f=n)
so that
![(x\times y)^n=x^n\times y^n](https://tex.z-dn.net/?f=%28x%5Ctimes%20y%29%5En%3Dx%5En%5Ctimes%20y%5En)
.
Answer:
1. ∠A = 71.9°
2. ∠B = 62.9°
3. ∠C = 27.5°
Step-by-step explanation:
By using a calculator, we have;
cos A = 0.31
sin B = 0.89
tan C = 0.52
1. Therefore, ∠A = cos⁻¹(0.31), inputting the digits in the calculator and looking for the inverse sign, we have;
∠A = cos⁻¹(0.31) = 71.94° = 71.9° to the nearest tenth of a degree.
2. For sin B = 0.89, we have;
∠B = sin⁻¹0.89 = 62.873° ≈ 62.9° with the answer rounded to the nearest tenth of a degree.
3. Similarly, for tan C = 0.52, inputting the values in the calculator and pressing the tan⁻¹ button, we have;
∠C = tan⁻¹(0.52) = 27.474°, which is 27.5° rounded to the nearest tenth of a degree.