Answer:
Option D = 16π/3 ft
Step-by-step explanation:
Arc length formula is written Mathematically as:
Arc length = 2πr × θ /360
r = 4 ft
θ = Central angle in degrees = 240°
2 × π × 4 × 240/360
8π × 240/360
8π × 20/30
16π/3 ft
So, the arc length is 16π/3 ft
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
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Step-by-step explanation:
This means that if a line is perpendicular to a line that has slope m, then the slope of the line is -1 / m. For example, we found that the slope of the line y = (1/2)x + 3 is 1/2. Thus any line that is perpendicular to this line would have slope -2 /1 = -2.
Answer:
The solution is the point (18,0)
Step-by-step explanation:
we have
-----> equation A
-----> equation B
Solve the system by substitution
substitute equation B in equation A
solve for x
Adds (1/3)x both sides
Adds 6 both sides
<em>Find the value of y</em>
substitute the value of x in equation A or equation B
therefore
The solution is the point (18,0)
Answer:
To determine the common ratio of a geometric sequence. You just need to divide any two consecutive terms on it. You can see below that all of them have the same quotient.
1.2 / 1.5 = 0.8
0.96 / 1.2 = 0.8
0.768 / 0.96 = 0.8
.
Decimal form = 0.8
Fraction form = 4/5
.
Check:
1.5 x 0.8 = 1.2
1.5 x 4/5 = 6/5 = 1 1/5 = 1.2
Therefore, the common ratio between successive terms in the sequence? 1.5, 1.2, 0.96, 0.768 is 0.8 or 4/5.
