We already know that the area of the rectangle increased by a square of the factor 7. So the dilated area of it (which we will call "Ad"), is:
Ad= (47)(7^2)
Ad= 47x49
Ad= 2303 m^2
What is the area of the dilated rectangle? The area of the dilated rectangle is 2303 m^2.
The scale is 1 inch equals 3 feet.
Divide the actual dimensions by 3 to get the number of inches:
8 ft / 3 = 2 2/3 inches
20 ft / 3 = 6 2/3 inches.
The answer is D. 2 1/3 inches by 6 1/3 inches
Answer:
A reflection in the x-axis, and a vertical translation of 8 units down
Step-by-step explanation:
The given function is
![f(x) = \sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Csqrt%5B3%5D%7Bx%7D%20)
The transformed function is
![g(x) = - \sqrt[3]{x} - 8](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%20-%20%20%5Csqrt%5B3%5D%7Bx%7D%20%20-%208)
To see the transformation that occurred, we can rewrite g(x) in terms of f(x).
That is:

Therefore f(x) is reflected in the x-axis and translated 8 units down.
The resulting graph decreases from left to right over its entire domain.
In order to find an average, you have to add all the numbers and divide by the number of things you added.
120.37 + 108.45 + 114.86 = 343.68
343.68/3 = 114.56
She spent an average of $114.56 each month on groceries.
Answer:
12 sides
Step-by-step explanation:
Given
Sum of interior angle = 1800 degrees
Required
Number of sides of the polygon
The sum of interior of a convex polygon is calculated using the following formula:
Sum = (n - 2) * 180
Where n is the number of sides of the polygon.
By substituting 1800 for Sum, we have

Divide through by 180


Add 2 to both sides


Re order

Hence, the number of sides of the polygon is 12