Answer:
0.0907
Step-by-step explanation:
There are 12 picture cards
There are 4 9's
There are 52-12-4 = 36 cards that are not 9's and not picture cards
(5*58905)/(52C5)
Answer:
a) 165.52 degrees.
b) 131.41 degrees.
c) 118.96 degrees.
d) 159.73 degrees.
Step-by-step explanation:
The sine of an obtuse angle is positive as it is in the second quadrant.
a) Using a calculate the angle whose sine ( arcsin) is 0.25 = 14.478 degrees
so the obtuse angle = 180 - 14.478 = 165.52 degrees to nearest hundredth
b) c) and d) are calculated in the same way.
B because -4-6 = -10, so -4+-6 also equals -10
Answer:
Step-by-step explanation:
Given expression is ,
This would be simplified using the law of exponents , some of which I will use here are ,
Using the above laws ,
![\sf \longrightarrow \bigg[ \dfrac{2}{8} \bigg(\dfrac{x^3}{x^{-2}}\bigg)\bigg(\dfrac{y^{-5}}{y^6}\bigg)\bigg(\dfrac{z^8}{z^3}\bigg) \bigg]^{-2}](https://tex.z-dn.net/?f=%5Csf%20%5Clongrightarrow%20%5Cbigg%5B%20%5Cdfrac%7B2%7D%7B8%7D%20%5Cbigg%28%5Cdfrac%7Bx%5E3%7D%7Bx%5E%7B-2%7D%7D%5Cbigg%29%5Cbigg%28%5Cdfrac%7By%5E%7B-5%7D%7D%7By%5E6%7D%5Cbigg%29%5Cbigg%28%5Cdfrac%7Bz%5E8%7D%7Bz%5E3%7D%5Cbigg%29%20%20%5Cbigg%5D%5E%7B-2%7D)
Using the second law mentioned above , we have,
![\sf \longrightarrow \bigg[ \dfrac{1}{4}(x^{3+2})(y^{-5-6})(z^{8-3})\bigg]^{-2}](https://tex.z-dn.net/?f=%5Csf%20%5Clongrightarrow%20%5Cbigg%5B%20%5Cdfrac%7B1%7D%7B4%7D%28x%5E%7B3%2B2%7D%29%28y%5E%7B-5-6%7D%29%28z%5E%7B8-3%7D%29%5Cbigg%5D%5E%7B-2%7D%20)
Simplify ,
![\sf \longrightarrow \bigg[\dfrac{1}{4} x^5y^{-11}z^5\bigg]^{-2}](https://tex.z-dn.net/?f=%5Csf%20%5Clongrightarrow%20%5Cbigg%5B%5Cdfrac%7B1%7D%7B4%7D%20x%5E5y%5E%7B-11%7Dz%5E5%5Cbigg%5D%5E%7B-2%7D%20)
Using the first law mentioned above , we have,
![\sf \longrightarrow \bigg[ \dfrac{1}{4^{-2}} x^{5(-2)} y^{-11(-2)} z^{5(-2)}\bigg]](https://tex.z-dn.net/?f=%5Csf%20%5Clongrightarrow%20%5Cbigg%5B%20%5Cdfrac%7B1%7D%7B4%5E%7B-2%7D%7D%20x%5E%7B5%28-2%29%7D%20y%5E%7B-11%28-2%29%7D%20z%5E%7B5%28-2%29%7D%5Cbigg%5D%20)
Simplify,
Finally using the fourth law mentioned above , we have ,
<h3>
Option K is the correct answer.</h3>
This is what it would look like
