C) 3/9 because there are a total of nine coins and there are three quarters meaning there is a bout a 1 in 3 chance you’ll pull a quarter out
From the problem we have
In △ABC, m∠A=52°, c=11, and m∠B=19°.
Draw the diagram with the help of given information, (see the attached image)
Now using Sine Law in the Triangle ABC, we can write
Now from Triangle ABC , we can write
![](https://tex.z-dn.net/?f=%20%3CC%3D180-%3CA-%3CB%5C%5C%20%5C%5C%20%3CC%3D180-52-19%5C%5C%20%5C%5C%20%3CC%3D109%5C%5C%20)
![\frac{a}{sin52}=\frac{11}{sin109} \\](https://tex.z-dn.net/?f=%20%5Cfrac%7Ba%7D%7Bsin52%7D%3D%5Cfrac%7B11%7D%7Bsin109%7D%20%20%5C%5C%20)
Now simplify , we get
![\Rightarrow a=\frac{11}{sin109}*sin52\\ \\ \Rightarrow a=\frac{11}{0.9455}*0.7880\\ \\ \Rightarrow a=9.1676 \approx 9.2\\](https://tex.z-dn.net/?f=%20%5CRightarrow%20a%3D%5Cfrac%7B11%7D%7Bsin109%7D%2Asin52%5C%5C%20%5C%5C%20%20%5CRightarrow%20a%3D%5Cfrac%7B11%7D%7B0.9455%7D%2A0.7880%5C%5C%20%5C%5C%20%5CRightarrow%20a%3D9.1676%20%5Capprox%209.2%5C%5C%20%20)
350-200=150
150 divided by 25= 6
Timani bought 6 videogames
Answer:
Infinite number
Step-by-step explanation:
we know that
If one angle is 90°, and another half of that, then it must be 45° and so the third angle is also 45°. (The sum of the internal angles of a triangle must be equal to 180 degrees)
Remember that
If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
therefore
There is an infinite number of unique triangle with these angles.
Answer:
![3^64^{11}](https://tex.z-dn.net/?f=3%5E64%5E%7B11%7D)
Step-by-step explanation:
It appears you're trying to simplify ...
![(3^{-2}4^{-5}5^0)^{-3}\cdot\dfrac{4^{-4}}{3^3}\cdot 3^3](https://tex.z-dn.net/?f=%283%5E%7B-2%7D4%5E%7B-5%7D5%5E0%29%5E%7B-3%7D%5Ccdot%5Cdfrac%7B4%5E%7B-4%7D%7D%7B3%5E3%7D%5Ccdot%203%5E3)
The final factor cancels the denominator of the fraction, so we have ...
![3^{(-2)(-3)}4^{(-5)(-3)-4}=3^64^{11}](https://tex.z-dn.net/?f=3%5E%7B%28-2%29%28-3%29%7D4%5E%7B%28-5%29%28-3%29-4%7D%3D3%5E64%5E%7B11%7D)
_____
The applicable rules of exponents are ...
(ab)^c = (a^c)(b^c)
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)