Answer:
The distance between the parallel sides is 20cm.
Step-by-step explanation:
Area of a trapezoid:
where a and b are the 2 bases, and h is the height. The value we're trying to find here is the height.
3 of the 4 variables in this equation are already given:
A = 800
a = 48
b = 32
Just plug those in and solve for h:
Answer:
We are given the following in the question:
where P(x) in millions is the number of U.S. travelers from 1990 through 2009 and x = 1 represents 1991.
We have to approximate the number of U.S. travelers to other countries in each given year.
(a) 1990
We put x = 0 in the given function.
Thus, there are 48.09 millions U.S. travelers in 1990.
(b) 2000
We put x = 10 in the given function.
Thus, there are 56.888 millions U.S. travelers in 2000.
(c) 2009
We put x = 19 in the given function.
Thus, there are 31.085 millions U.S. travelers in 2009.
Step-by-step explanation:
Hope this helps:) plz mark as brainliest I really need it:)
Answer:
4x - y = -5
Step-by-step explanation:
The equation of a new line which is parallel to old line 4x - y = 14 looks exactly the same as that of the old line EXCEPT that we replace the constant, 14, with C and find C for the line that passes through (-2, -3).
4x - y = 14 becomes 4x - y = C
Now substitutte -2 for x, -3 for y and calculate C:
4(-2) - (-3) = C, or
-8 + 3 = C = - 5
Thus, the new equation is 4x - y = -5
We want to solve 9a² = 16a for a.
Because the a is on both sides, a good strategy is to get all the a terms on one side and set it equal to zero. Then we apply the Zero Product Property (if the product is zero then so are its pieces and Factoring.
9a² = 16a
9a² - 16a = 0 <-----subtract 16a from both sides
a (9a - 16) = 0 <-----factor the common a on the left side
a = 0 OR 9a - 16 =0 <----apply Zero Product Property
Since a = 0 is already solved we work on the other equation.
9a - 16 = 0
9a = 16 <----------- add 16 to both sides
a = 16/9 <----------- divide both sides by 9
Thus a = 0 or a = 16/9
