Cos 157.5º=-cos (180º-157.5º)=-cos 22.5=-cos(45/2)
cos Ф/2=⁺₋√((1+cosФ)/2).
In this case 157.5º is in the second quadrant, therefore we use the following equation:
cos Ф/2=-√((1+cosФ)/2). (we will have a negative number)
cos 157.5º=-cos (45/2)=-√((1+cos 45º)/2)
=-√((1+√2/2)/2)
=-√((2+√2)/4)
=-√(2+√2) / 2 (≈-0.92387...)
Answer: cos 157.5º= -√(2+√2) / 2
Answer:
each bag weights 1,500 grams
Step-by-step explanation:
there are 1000 grams in a kilogram
6 times 1000 is 6000
6000 divided by 4 is 1500
Answer:
24,192.
Step-by-step explanation:
The first number must be one of 2,3,4,5,6,7,8 or 9. That is 8 possibilities.
The number of permutations of the other 4 numbers is 9P4
= 9! / (9-4)!
= 3024
Now we multiply by the 8:
3024 * 8
= 24,192.
Answer:
x ≤ 6
Step-by-step explanation:
5x - 9 ≤ 21
Step 1. Add 9 to both sides
5x ≤ 30
Step 2. Divide it all by 5
x ≤ 6
Line Segment WX=4
Line Segment XY=4
Line Segment YZ=4
Line Segment ZW=4
4+4+4+4=16
The perimeter is 16 units.