It would be 50 an acute angle is always under 50 atleast
<span>cos(-120°), sin(-30°), -sin(150°)
This problem requires you to understand the symmetric identities for the sin and cos functions. sin(-150°) is in the 3rd quadrant and is 30° away from the X axis. Now let's look at all the possibilities:
cos(-120°) - Also in the 3rd quadrant and 30° away from the Y axis. MATCH.
sin(150°) - It's in the 2nd quadrant. Will have opposite sign. Not a match.
sin(-30°) - It's in the 4th quadrant. The signs will match. It's also 30° away from the X axis. MATCH.
-sin(150°) - The identity sin(-a) = -sin(a) applies here. MATCH.
cos(60°) - In 1st quadrant. Result will be positive. Not a match.
cos(-60°) - In 4th quadrant. Result will be positive. Not a match.</span>
Answer:
10%
Step-by-step explanation:
5/50=x/100
5×100=500
500/50=10
x=10
10%
P(<em>Z</em> ≥ <em>z</em>) = 1 - P(<em>Z</em> ≤ <em>z</em>) = 0.06
==> P(<em>Z</em> ≤ <em>z</em>) = 0.94
==> <em>z</em> ≈ 1.7507
Answer:Perimeter of a rectangle is 2*the length plus 2*the width
P = 2L + 2W and P = 130, so
L + W = 65
Three times the length is equal to 10 times the width, giving
3L = 10W
Substituting into the above for L = 65 – W,
3(65 – W) = 10W
195 – 3W = 10W
195 = 13W
W = 195/13 = 15
W = 15 yards,
And L = (10/3)W = (10/3)*15 = 50
L = 50 yards
Step-by-step explanation:
