2cosx=2sin2x. Sin2x is an identity for 2sinxcos. So 2[2sinxcosx] gives you 4sinxcosx. 2cosx=4sinxcosx. Divide 2cosx on both sides and gives you 2sinx=0 and divide again, sinx=0. Sinx is 0 at 0 and 360 degrees, or pi and 2pi. So thats what x would be. 0,360,pi,2pi.
To draw a heart, one would be choosing 1 card of 13 possible hearts, and 0 from the remaining 39 non-hearts. With respect to the entire deck, one would be choosing 1 card from 52 total cards. So the probability of drawing a heart is

When Michelle replaces the card, the deck returns the normal, so the probability of drawing any card from a given suit is the same,

. In other words, drawing a spade is independent of having drawn the heart first.
So the probability of drawing a heart, replacing it, then drawing a spade is

.
Answer:
0.00018
Step-by-step explanation:
formula:Divide the volume by 1e+6
Answer:
Step-by-step explanation:
5x - 1 = 4x + 3
x - 1 = 3
x = 4
5(4) - 1 + 4(4) + 3
20 - 1 + 16 + 3
19 + 16 + 3 = 35 + 3 = 38
Answer:
y=−3x−22
Step-by-step explanation
To find the perpendicular slope you must flip reciprocals and as well as the signs. Then graph on desmos to see if it passes through (-6,-4)