A = lw
7x³ - 42x² = l(7x²)
7x²(x) - 7x²(6) = l(7x²)
The angle of depression equals 32.
A way that you can solve this is by finding angle c. Angle C would be the same as the angle of depression because of alternate angles being congruent.
So you do the triangle angle sum theorem.
58+90+x=180
Simplify
148 +x=180
Subtract 148 from both sides
x=32
So Since angle c equals to 32 degrees, then the angle of depression is also 32 degrees.
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
She has a choice of 6 outfits to coordinate for the day