Answer:
Draw a perpendicular line from point A to line segment BC. Name the intersection of said line at BC “E.” You now have a right angled triangle AED.
Now, you know AD = 6 m. Next, given that the trapezoid is a normal one, you know that the midpoints of AB and DC coincide. Therefore, you can find the length of DE like so, DE = (20–14)/2 = 3 m.
Next, we will use the cosign trigonometric function. We know, cos() = adjacent / hypotenuse. Hence, cosx = 3/6 = 1/2. Looking it up on a trigonometric table we know, cos(60 degrees) = 1/2. Therefore, x = 60 degrees.
Alternatively, you could simply use the Theorem for normal trapezoids that states that the base angles will be 60 degrees. Hope this helps!
The question is incomplete. The complete question is :
A local movie theater is trying to find the best price at which to sell popcorn To reach its goal of making at least 550,000 from popcorn sales this year, the theater decided to hire a consulting firm to analyze its business The firm determined that the best case scenario for the theater's revenue generated from popcorn sales, while meeting its revenue goals, is given by this system of inequalities, where r represents the revenue in tens of thousands of dollars and p represents the sale price of popcorn in dollars and r ≥ 5 solutions Complete the statement( a viable solution, both a viable and a nomlable solution). The point (4,6) a nonviable solution The point (6,5) mola bouton of this system of this system.
Solution :
Total amount to be targeted by selling of popcorns in the movie theatre is 550,000.
A viable solution is one which has a definite meaning or definite solution to the question in context whereas a non viable solution does not have a definite relevant solution to the question.
In the context,
The point (4,6) is a non viable solution as it does not satisfy 1st inequality and only satisfies the second inequality.
The point (6,5) is a viable solution as it satisfies both the inequalities.
If x - Q = 100, then Q = 100 + x
Substitute this into the following equation:
F(x) = x*Q <----this is the eqation for which you want to find a minimum
F(x) = x *(100 + x)
F(x) = x^2 + 100x
Graph that equation, and look for its lowest point. The lowest point is at x = -50, f(x) = -2500
Since Q = 100 + x, then Q = 100 + (-50) = 50
50 - (-50) = 100, and the product--being -2500--is a minimum.
Hi there! The answer is 54 mph.
To find our answer we must divide the total distance by the expected amount of time. Therefore, in this situation, we must divide 700 by 13. This gives us:
Hence, the correct answer is: about 54 mph
Well it looks like the sequence is that each shape is going up by 2 sides each time.