The answer is 290. First calculate the area of the rectangle part on the bottom. area=20*9=180 square yards. Then calculate the area of the triangle on the top. Base length is 20, while the height is 20-9=11, so the area is 20*11/2=110. 180+110=290 square yards in total.
The answer to the question
Answer:
The length is 8 inches and the width is 3 inches
Step-by-step explanation:
Let w represent the width.
The length can be represented by 2w + 2
Use the area formula, A = lw, and plug in the area and the expressions for the length and width:
A = lw
24 = (2w + 2)(w)
Simplify and solve for w:
24 = 2w² + 2w
2w² + 2w - 24
Divide everything by 2:
w² + w - 12
Factor:
(w + 4)(w - 3)
Set equal to 0 and solve for each factor:
w + 4 = 0
w = -4
w - 3 = 0
w = 3
Since the width cannot be negative, the width has to be 3.
Next, find the length by plugging in 3 as w:
2w + 2
2(3) + 2
= 8
So, the length is 8 inches and the width is 3 inches
Answer:

Step-by-step explanation:
Hello,
As the polynomial has only real coefficients, it means that 3-i is a zero too, because we apply the Conjugate Zeros Theorem.
It means that we can write the expression as below, k being a real number that we will have to identify.

And for x = 0, y = -90 so we can write
-90=k*3*10, meaning that k=-3
Hope this helps.
Do not hesitate if you need further explanation.
Thank you