<h3>Answer:</h3>
F (3x, 3y)
<h3>Explanation:</h3>
Dilation about the origin multiplies each coordinate by the dilation factor. For some coordinates (x, y), dilation by a factor of 3 means the new coordinates are ...
... 3×(x, y) = (3x, 3y)
_____
<em>Comment on the problem</em>
The way the problem is worded, you expect an answer choice that will be specific to the coordinates of point A. There are none.
Instead, the answer choices are generic, corresponding to dilation of a point (x, y) by a factor of 3, translation up and to the right by 3, dilation by a factor of 1/3, and translation down and to the left by 3.
Either the 1st or the 4th one
Answer: (3)
Step-by-step explanation:
In this problem, we don't know the length or width. All we do know is that the length is 5 feet longer than the width, and that the perimeter is 54 feet. Both lengths plus both widths equals the perimeter. To solve this problem, you must give the width, the value of x.
Step 1: Draw a rectangle where the width is x and the length is x + 5.
Step 2: Find the sum of the lengths and the sum of the widths
2 times the length plus 2 times the width equals the perimeter
2(x + 5) + 2(x) = 54
Step 3: Solve for the width
2(x + 5) + 2(x) = 54
2x + 10 + 2x = 54 (Distributive Property)
4x + 10 = 54 (Group Like Terms)
4x = 44 (Subtraction Property of Equality)
4x/4 = 44/4
x = 11 (Division Property of Equality)
x = width = 11
Step 4: Solve for the length
x + 5 = length
11 + 5 = 16
Length = 16. So (3) must be the answer.
The cost of painting the rectangular board with a semicircular top is $31.065 to the nearest hundredth.
<h3>How to find the area of the composite figures?</h3>
To find area of the composite figures,
- Separate the figure.
- Calculate the are of the each figure by which the composite figure is made of.
- Add the area of all the individual figures to get the total area of composite figures.
The dimentions of the rectangle is 3 by 4 foot. The area of the rectangle is,
The radius of the semicircle is 1.5 m. The area of the semicircle is,
The area of the composite figure is,
The rate of painting is $2.00 per square foot. Thus the cost to paint the figure is,
Hence, the cost of painting the rectangular board with a semicircular top is $31.065 to the nearest hundredth.
Learn more about the area of composite figures here;
brainly.com/question/15981553
