Answer:
The solution is rotation, then translation. The figure has been rotated about the origin by 90° and then translated 6 units to the right.
The length and width of a new rectangle playing field are 214 yards and 52 yards respectively.
<h3>What is the area of the rectangle?</h3>
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
We have:
The length of a new rectangle playing field is 6 yards longer than quadruple the width.
Let's suppose the length is l and width is w of a rectangle:
From the problem:
l = 6 + 4w
Perimeter P = 2(l + w)
532 = 2(l + w)
Plug l = 6+4w in the above equation:
532 = 2(6 + 4w + w)
266 = 6 + 5w
260 = 5w
w = 52 yards
l = 6 +4(52) = 214 yards
Thus, the length and width of a new rectangle playing field are 214 yards and 52 yards respectively.
Learn more about the area of rectangle here:
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<h3>
Answer: 50%</h3>
Explanation:
The boxplot, aka box-and-whisker plot, is a visual way to represent summary data. Each piece of the boxplot visually tells us one of the five items of a five number summary, which are:
- Min = smallest value
- Q1 = first quartile
- Median = middle most value
- Q3 = third quartile
- Max = largest value
The median is the vertical line inside the box of the boxplot. The diagram shows that the median is 25. Exactly half of the distribution is below the median, and the other half is above the median. So that means that 50% of the cars get at least 25 mpg.
(-2,18):(8,38) Set them equal to each other you get, x^2-6x-16=0, you can factor to get, (x-8)(x+2) to get solutions 8,2 for the x values then plug in for y values.
Hello there!
The square root of 100 is 10
√100 = 10
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