Area of sector = 1/2 * r^2 * x where r = radius and x = angle in radians
86 = 1/2 * r^2 * pi/4
r^2 = 2 * 86 * 4 / pi = 219
r = sqrt 219
= 14.80
The length of the rectangle is 20 inches, and the width of the rectangle is 4 inches if the table runner has an area of 80 square inches. The length and width of the table runner are whole numbers. The length is 5 times greater than the width.
<h3>What is the area of the rectangle?</h3>
It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.
The formula for finding the area of a rectangle is given by:
Area of rectangle = length × width
The area of the table runner = 80 square inches
Let's assume the length of the rectangle is L and the width is W
Then L = 5×W ...(1)
L×W = 80 ...(2)
Put the value of L in the equation (2)
5W(W) = 80
5W² = 80
W² = 16
W = ±4
Width cannot be negative.
W = 4 inches putting this value in the equation (1)
L = 5(4) = 20 inches
Thus, the length of the rectangle is 20 inches, and the width of the rectangle is 4 inches if the table runner has an area of 80 square inches. The length and width of the table runner are whole numbers. The length is 5 times greater than the width.
Learn more about the area here:
brainly.com/question/14383947
#SPJ1
cant see the full question ;/
It does not. So Long as the length is multipled by the height aka Long edge multiplied with the short edge, you will obtain the area of the rectangle.
Answer:
17.) x = 3
18.) x = -5
I couldn't do 19.) and 20.) for you because there are weird symbols that I believe you mistakenly input. But I'm sure you now get the gist of how to solve such problems. Peace <3
Step-by-step explanation:
All you really have to do for all of the problems is substitute your value of "x" for the function.
17.) f(x) = 8x - 7; f(x) =17
17 = 8x -7 ---- substitute 17 for f(x), add 7 on both sides
24 = 8x ------ divide 8 on both sides
x = 3
18.) g(x) = -4x + 7; g(x) = 27
27 = -4x + 7 substitute 27 for g(x), subtract 7 on both sides
20 = -4x
x = -5
