4 as the product of primes
4 = 2*2
Y-1=3 it should be
opposite to +1 is -1 so yeah
Answer: There is a 30% chance Ricky will pull out a quarter
Step-by-step explanation:
This problem is quite simple, really. Okay, so first we're gonna figure out how many items in total there are. He has 3 quarters, 5 dimes, and 2 nickels. So 3+5+2 is equal to 10. Since there is 3 quarters out of the 10 different options, here is how many quarters are in the bag (aka the probability that Ricky will pull out a quarter): 3/10. 3/10 is the same thing as 30%, so there is a 30 percent chance Ricky will pull out a quarter.
<u>Answer:</u>
These set of lengths cannot be the side lengths of a right angled triangle.
<u>Step-by-step explanation:</u>
Pythagoras Theorem is always followed by a right angled triangle. According to which the sum of squares of the two shorter legs is equal to the square of the longest leg.
So here, 17 is the longest leg and 7 and 12 the shorter ones.
Applying Pythagoras Theorem to these lengths to find out.
Therefore, these set of lengths cannot be the side lengths of a right angled triangle.
Step-by-step explanation:
cos(3x) − 3 cos x = cos(2x) + 1
Use triple and double angle formulas.
(4 cos³x − 3 cos x) − 3 cos x = (2 cos²x − 1) + 1
Simplify.
4 cos³x − 6 cos x = 2 cos²x
4 cos³x − 2 cos²x − 6 cos x = 0
2 cos³x − cos²x − 3 cos x = 0
Factor.
cos x (2 cos²x − cos x − 3) = 0
cos x (cos x + 1) (2 cos x − 3) = 0
Solve.
cos x = 0 → x = 90°, 270°
cos x + 1 = 0 → x = 180°
2 cos x − 3 = 0 → no solution