<u> 3c³d </u> = <u>c²d²</u>
9cd^-1 3
I'll do Problem 8 to get you started
a = 4 and c = 7 are the two given sides
Use these values in the pythagorean theorem to find side b

With respect to reference angle A, we have:
- opposite side = a = 4
- adjacent side = b =

- hypotenuse = c = 7
Now let's compute the 6 trig ratios for the angle A.
We'll start with the sine ratio which is opposite over hypotenuse.

Then cosine which is adjacent over hypotenuse

Tangent is the ratio of opposite over adjacent

Rationalizing the denominator may be optional, so I would ask your teacher for clarification.
So far we've taken care of 3 trig functions. The remaining 3 are reciprocals of the ones mentioned so far.
- cosecant, abbreviated as csc, is the reciprocal of sine
- secant, abbreviated as sec, is the reciprocal of cosine
- cotangent, abbreviated as cot, is the reciprocal of tangent
So we'll flip the fraction of each like so:

------------------------------------------------------
Summary:
The missing side is 
The 6 trig functions have these results

Rationalizing the denominator may be optional, but I would ask your teacher to be sure.
How to solve with elimination: with the equations on the top, add the number on top and bottom if they share a variable such as x. do the rest for all of the numbers.
Answer:
The probability that the maximum number of draws is required is 0.2286
Step-by-step explanation:
The probability that the maximum number of draws happens when you pick <em>different colors in the first four pick</em>.
Assume you picked one sock in the first draw. Its probability is 1, since you can draw any sock.
In the second draw, 7 socks left and you can draw all but the one which is the pair of the first draw. Then the probability is 
In the third draw, 6 socks left and you can draw one of the two pair colors which are not drawn yet. Its probability is 
In the forth draw, 5 socks left and only one pair color, which is not drawn. The probability of drawing one of this pair is 
In the fifth draw, whatever you draw, you would have one matching pair.
The probability combined is 1×
×
×
≈ 0.2286
Answer:
10
Step-by-step explanation:
Use PEMDAS to rewrite the equation as:
m - (2 * n) + 2 =
16 - (2 * 4) + 2 =
16 - 8 + 2 =
10