Answer:
yes, becoz all the elements of set R is in set A
Let sin⁻¹(

) = x
Therefore, sin(x) =

x should lie in first quadrant because √3 and 2 both are positive.
Therefore, sin(x) = 60° = π/3
Answer:
Step-by-step explanation:
If the variation is proportional dividing the y-value by the x-value will give the same result for all table entries. That quotient is the constant of variation (k).
Here 6.4/4 = 11.2/7 = 16/10 = 20.8/13 = 1.6
The value of y varies directly as x, and the constant of variation is 1.6. The equation is ...
y = 1.6x
The different ratios are 2 : 7, 2 : 9 and 7 : 9
<h3>How to determine the ratio?</h3>
The statement is given as:
8 out of 36 squares unfilled
This means that:
- There are 36 squares
- 8 are unfilled
- 28 are filled
The part-to-part ratio is represented as:
Ratio = Unfilled : Filled
This gives
Unfilled : Filled = 8 : 28
Simplify
Unfilled : Filled = 2 : 7
The part-to-whole ratios are represented as:
Ratio = Unfilled : Total
Ratio = Filled : Total
So, we have:
Unfilled : Total = 8 : 36
Filled : Total = 28 : 36
Simplify
Unfilled : Total = 2 : 9
Filled : Total = 7 : 9
Hence, the different ratios are 2 : 7, 2 : 9 and 7 : 9
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Answer:
Your table is filled in below.
Step-by-step explanation:
The scale factor is the ratio of image size to original size. In part (d), the image height is "blocks" while the original height is "feet". So, the units of the scale factor are "blocks/ft".
Sometimes a scale factor has units, like this, and sometimes it is expressed as a pure number. A map scale factor might be the pure number ratio 1 : 62500, or it could also be expressed with units as 1 in : 1 mile.*
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* actually, these are slightly different scales. 1:62500 is about 0.98643 inches per mile.