Let us assume the width of the rectangle = x cm
Then
The length of the rectangle = (x + 4) cm
It is already given that
Perimeter of the rectangle = 80 cm
Now we also know the formula for perimeter of a rectangle
Perimeter = 2 ( length + width)
80 = 2 (x + 4 + x)
80 = 2 (2x + 4)
80/2 = 2x + 4
40 = 2x + 4
Dividing both sides by 2 we get
20 = x + 2
20 -2 = x
x = 18
Then
Width of the rectangle = 18 cm
Length of the rectangle = (18 + 4) cm
= 22 cm
So the rectangle has a length of 22 cm and a width of 18 cm.
Answer:
5√11 ÷ 11 (The very last choice)
Step-by-step explanation:
I first found out what 5/√11 was and got 1.507556723 and checked all the other options and found that 5√11 ÷ 11 was the only option that had the exact same quotient as 5/√11.
Answer:
3x + y = 9.5
Step-by-step explanation:
1) The equation of a line is in the form of y = mx + c, where m is the gradient and c is the y-intercept. Write the given values in that form.
y = -3x + c
2) Find the value of k by using the following formula: m = y2 - y1 / x2 - x1. We already know m.
-3 = 8 - k / k - 3
-3(k - 3) = 8 - k
-3k + 9 = 8 - k
-3k + k = 8 - 9
-2k = -1
k = -1/-2
k = 1/2
3) Therefore, a line with gradient of - 3 passes through the points (3, 1/2) and (1/2, 8). We can find the y-intercept (c). To do so, choose one of the coordinates and substitute.
y = -3x + c
1/2 = -3(3) + c
1/2 = -9 + c
1/2 + 9 = c
9.5 = c
Completed equation of the line: y = -3x + 9.5
4) Write it in the form of ax + by = c.
3x + y = 9.5
Answer: The area is 221.558, with the explanation below.
Step-by-step explanation: The area of a circle is solved by the equation
π x r². You are given the diameter of 16.8, and the radius is half of it, so the radius = 16.8/2 = 8.4
Next, you need to plug your numbers into the equation:
Area = 3.14 x 8.4²
Area = 3.14 x 70.56
Area = 221.558
