Answer:
x = 10
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin60° = 
, then
sin60° = 
= 
= ( cross- multiply )
2x = 20 ( divide both sides by 2 )
x = 10
Answer:
5 quarters and 2 dimes
Step-by-step explanation:
5 quarters make 1.25 + 10 cents = 1.45
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.
The true statements are:
2 - we can tell this by looking at the far right of the graph, as the slope is going downwards, therefore the leading coefficient must be negative
3 - this is a cubic, meaning its degree is 3
6 - by looking at the graph, we can see that there are 3 points where it cuts the x axis, hence 3 real zeros
7 - even multiplicity is where the curve "bounces off" the x axis and does not cross it. This curve have no zeros with even multiplicity
Hope this helped!
