Answer:
1.4
Step-by-step explanation:
-2.6---------------1.3
0.5 is between
-2.1 is between
1.4 is not between
-1.8 is between
You divide the fractions to get percents
So the rule with multiplying exponents of the same base is
. Apply this rule here:
![7^{-\frac{5}{6}}*7^{-\frac{7}{6}}=7^{-\frac{5}{6}+{-\frac{7}{6}}}=7^{-\frac{12}{6}}=7^{-2}](https://tex.z-dn.net/?f=%207%5E%7B-%5Cfrac%7B5%7D%7B6%7D%7D%2A7%5E%7B-%5Cfrac%7B7%7D%7B6%7D%7D%3D7%5E%7B-%5Cfrac%7B5%7D%7B6%7D%2B%7B-%5Cfrac%7B7%7D%7B6%7D%7D%7D%3D7%5E%7B-%5Cfrac%7B12%7D%7B6%7D%7D%3D7%5E%7B-2%7D%20)
Next, the rule with converting negative exponents into positive ones is
. Apply this rule here:
![7^{-2}=\frac{1}{7^2}=\frac{1}{49}](https://tex.z-dn.net/?f=%207%5E%7B-2%7D%3D%5Cfrac%7B1%7D%7B7%5E2%7D%3D%5Cfrac%7B1%7D%7B49%7D%20)
<u>Your final answer is 1/49.</u>
<h2>------------------------------------------------</h2>
So an additional rule when it comes to exponents is ![x^{\frac{m}{n}}=\sqrt[n]{x^m}](https://tex.z-dn.net/?f=%20x%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%3D%5Csqrt%5Bn%5D%7Bx%5Em%7D%20)
In this case, your fractional exponent, x^9/7, would be converted to
. However, I had just realized you can further expand this.
Remember the rule I had mentioned earlier about multiplying exponents of the same base? Well, you can apply it here:
![\sqrt[7]{x^9}=\sqrt[7]{x^7*x^2}=x\sqrt[7]{x^2}](https://tex.z-dn.net/?f=%20%5Csqrt%5B7%5D%7Bx%5E9%7D%3D%5Csqrt%5B7%5D%7Bx%5E7%2Ax%5E2%7D%3Dx%5Csqrt%5B7%5D%7Bx%5E2%7D%20)
Your final answer would be ![x\sqrt[7]{x^2}](https://tex.z-dn.net/?f=%20x%5Csqrt%5B7%5D%7Bx%5E2%7D%20)
Answer: :} where is the rest of the question
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
You are given two sides and the included angle, so you need to use the law of cosines.
c² = a² + b² - 2ab cos C
c² = 12² + 13² - 2(12)(13)cos 134°
c² = 313 - 312(-0.6947)
c² = 529.733
c = 23.016
Now use the law of sines.
c/sin C = a/sin A
23.016/sin 134° = 12/sin A
sin A = 12 × sin 134° / 23.016
sin A = 0.37504
A = 22.03°
B = 180° - 134° - 22.03°
B = 23.97°
m<A = 22°; m<B = 24°; c = 23 km
Answer: B