The area of ABCD is 640 cm²
<h3>What is similarity in trapezoid?</h3>
In order for two trapezoids to be similar their corresponding sides must have the same ratio. Since the largest base length in the image is and the corresponding side is , the other base must also be times greater than the corresponding side.
Given:
EF= 5 cm
AB = 20cm
Area of EFGH = 40 sq cm
Now,
As both trapezoid are similar. So, their corresponding sides must have the same ratio
EF/ AB= BC/ FG= CD/ HG= HE/ DA
So,
area (EFGH) : area(ABCD) = (EF/ AB)²
40 : area(ABCD)= (5/ 20)²
40 : area(ABCD) = 1/16
area (ABCD) =640 cm²
Hence, Area of trapezoid ABCD = 640 cm²
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Answer:
There is a positive correlation between these two variables.
Step-by-step explanation:
Positive correlation is an association amid two variables in which both variables change in the same direction.
A positive correlation occurs when one variable declines as the other variable declines, or one variable escalates while the other escalates.
As the distance covered by the vehicle increases the amount of gas consumed also increases. Thus, the weekly cost of gas will also increase.
Thus, there is a positive correlation between these two variables.
Answer:
$ 22.6
Step-by-step explanation:
Given that
Price charged for each box of seeds = x
Profit gained from from selling boxes of seeds = p
The equation of profit is modeled as
P(x) = 0.5x² + 36x - 179
As per given information if the fundraisers make a profit of $379 then find the minimum price charged for each box of seed.
Now our above equation becomes
379 = -0.5x² + 36x - 179
Simplifying
379+179 = -0.5x² + 36x
558 = -0.5x² + 36x
0.5x² - 36x + 558 =0
multipying both sides of equation by 2
2(0.5x² - 36x + 558) = 2x0
x² - 72x +1116 = 0
Using quadratic formula we get the following factors
x= 49.4 or x= 22.60
As we can the smalles value is 22.6
So, they can charge 22.6 dollar for each bag of seeds in order to get profit of 379 dollars.
NOTE.- just substitute values and resolve
it’s the right answer anyways hope u pass all your classes thanks bye now purrr 1245/4849
