If you want the area of the entire trapeziod.
The formula for area of a trapeziod is:
1/2h(b₁+b₂)
So the equation applied to the trapeziod is:
2.5(20+12)
20+12 is 32. 32 multiplied by 2.5 is 80.
<h3><u><em>
Your answer is 80.</em></u></h3>
I see your last line is : c(x) = 0.9(x^2-10)^2 + 101.1
Let y = x^2, then c(y) = 0.9(y-10)^2 + 101.1
Apparently, c(y) is a parabola, min is 101.1 when y = 10, max is infinity
So let x^2 = 10 -> x = sqrt(10) or -sqrt(10), min is 101.1, max is infinity
Answer:
(1.5,-2.6)
Step-by-step explanation:
Given the polar coordinates (-3,60°).
Let our Cartesian coordinates be (x,y)
#We know that when converting the rectangular coordinates (x,y) to polar (r,θ), then:

#Using the illustration above, we can express our polar coordinates as:

#Solve simultaneously to solve for x and y:

Hence, the Cartesian coordinates are (1.5,-2.6)
Answer:
$22 for popcorn and $8 for pretzels together it would be $30
Step-by-step explanation:
Answer:
Corresponding angles
Step-by-step explanation:
In elementary geometry the word congruent is often used as follows.
Two line segments are congruent if they have the same length.
Two angles are congruent if they have the same measure.
Two circles are congruent if they have the same diameter.
The eight angles that are produced as a result of two parallel lines are cut by a transversal will together form four pairs of corresponding angles. Corresponding angles are congruent. All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs.