This is the concept of trigonometry, the height of the ramp will be given by:
sin theta=[opposite]/[hypotenuse]
theta=30
opposite=x
hypotenuse=40 ft
hence;
sin 30=x/40
thus;
x=40sin30
x=20 ft
the ramp is 20 ft high
The scale factor that Thea uses to go from Rectangle Q to Rectangle R is equal to 6.
<h3>What is the scale factor from rectangle Q to rectangle R?</h3>
In geometry, the scale factor is a ratio of the resulting length to the initial length. Since the area of the square is equal to the square of its side length, then the scale factor is equal to:
k² = A' / A
k = √(A' / A)
Where:
- k - Scale factor
- A' - Area of the rectangle R.
- A - Area of the rectangle Q.
If we know that A = 2 and A' = 72, then the scale factor is:
k = √(72 / 2)
k = √36
k = 6
Then, the scale factor that Thea uses to go from Rectangle Q to Rectangle R is equal to 6.
To learn more on scale factors: brainly.com/question/22312172
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Answer: At the star of each month
Step-by-step explanation:
Short-term financial goals might include buying movie tickets.
When creating a budget, you must track both your budgeted expenses and your … expenses. actual
When creating a budget, log fixed expenses after income.
When should fixed and variable monthly budgeted expenses first be planned? at the start of each month
y = k/x, where k is the variation constant.
We need to find k.
5 = k/15...This equation leads to the correct value of k (our variation constant).
5(15) = (k/15)(15)
75 = k
Done!
The graph increases then stays constant
