Answer: 350
Step-by-step explanation: If you multiply the amount of <em>workers</em> by two, then you divide the amount of <em>time </em>by two, and vice versa. So, in other words, whatever number you multiply the workers by, divide the time by that same number. I hope this helps!
Answer:
D.) It has rotational symmetry with an angle of rotation of 90 degrees.
Step-by-step explanation:
i) the shape shown in the figure has reflectional symmetry with four lines of symmetry. There are four lines of symmetry such that each line when drawn divides the shape into two exact halves such that if each half were too be folded across the line of symmetry it would produce the other half exactly.
Therefore Option A.) and Option B.) are not true
ii) It has point symmetry which means if the shape is rotated by 180 degrees the shape does not change. Therefore Option C.) is not true.
iii) the shape has rotational symmetry because if the shape is rotated though any between 0 degrees and 360 degrees the shape appears to be unchanged.
Therefore the correct options are
D.) It has rotational symmetry with an angle of rotation of 90 degrees.
Answer:
x = 10 , 45 degrees.
Step-by-step explanation:
This seems a tricky one .
I guess we can use sin A + sin B = 2 sin (A+B)/2 cos (A - B) / 2
so sin 5x + sin x = 2 sin 3x cos 2x so our equation becomes
2 sin 3x cos 2x - cos 2x = 0
cos 2x ( 2 sin 3x - 1) = 0
so 2 sin 3x = 1
sin 3x = 1/2
giving 3x = 30 degrees and x = 10 degrees
or cos 2x = 0
so 2x = 90
giving x = 45 degrees.
The equations y = -4x-1 and y = -4x+2
represent oblique parralel lines, beacuse they have the same slope (-4).
