Answer:
48
Step-by-step explanation:
the number of shirts are 3, number of pants 4, number of socks pairs 2 and 2 pairs of shoes.
first lets start with shirts and pants, number of unique combinations are,
(for each shirt there are 4 different pant combinations) = 
=12
similiarly for each shirt pant pair there are 2 shoes and 2 socks pairs.
thus, total number of combinations are=

= 48
Answer:
Step-by-step explanation:
20/100 * 5,120 = 1024
Number of cases in 2013 = 1024 + 5120 = 6,144 cases
Answer:
59.
Step-by-step explanation:
I´m pretty sure the answer is 59. If I´m wrong then sorry.
Answer:
<h2>100°</h2>
Step-by-step explanation:
The complete question is
In the triangles, XY = MP and YZ = PN.
If mP = 85°, which is a possible measure for Y?
- mY = 80°
- mY = 85°
- mY = 100°
- mY = 180°
This problem is solved by simple reasoning.
In the figure, you can observe that angle Y is major than angle P, because the third side of the first triangle is major than the third side of the second triangle. So, the right answer must be higher than 85°, which is option 3, because it cannot be 180°, due to the graph doesn't show an straight angle at Y, and cannot be 80° because is lower than 85°
Therefore, the right answer is 100°.
Looks more like Trig than Algebra II
They want us to apply the sum angle formula to 
5π/6 is 150°; I find it easier to think in degrees.
When the tangent of x is 3/4 that's a right triangle with opposite 3, adjacent 4 so hypotenuse 5. So a sine of 3/5 and a cosine of 4/5, both positive because we're told x is in the first quadrant.
The sine sum angle formula is


We know sin 150° = sin 30° = 1/2 and cos 150° = - cos 30° = -√3/2


Third choice